The measures of the angles of a triangle are shown in the figure below. Solve for x.

The Measures Of The Angles Of A Triangle Are Shown In The Figure Below. Solve For X.

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

87 + 36 = 123

180 - 123 = 57

6x + 3 = 57

57 - 3 = 54

54/6 = 9


Related Questions


The shape below is made of two rectangles joined together.
9 cm
5 cm
8 cm
5 cm
Find the total area of the shape.
Optional working

Answers

Answer:

a=7, b=3

Step-by-step explanation:

Subtracting, we get the area of QRXY is 63 cm².

Using the area formula of a rectangle, we get 9a=63, and thus a=7.

Using the area formula again on triangle PXYS, 7b=21, and thus b=3.

The value of side 'a' is 7cm and side b is 3 cm.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

It is given that the area of PQRS is 84 square cm and the area of PSYX is 21 square cm.

The area of QRXY is calculated as,

Area QRXY = 84 - 21

Area QRXY = 63 square cm

The side a will be calculated as,

a x 9 = 63

a = 63 / 9

a = 7 cm

The side of b will be,
b x 7 = 21

b = 21 / 7

b = 3 cm

Therefore, the value of side 'a' is 7cm and side b is 3 cm.

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A right triangle is formed by the x-axis, the y-axis, and the line y = -2x + 7.A. Sketch and label a graph of the triangle in the coordinate plane.B. Find the length of the hypotenuse.C. Find the area of the triangle.

Answers

The given equation is

[tex]y=-2x+7[/tex]

We have to find the axis interceptions to graph this function.

For x = 0, we have

[tex]y=-2(0)+7=0+7=7[/tex]

The y-interception is (0,7).

For y = 0, we have

[tex]\begin{gathered} 0=-2x+7 \\ 2x=7 \\ x=\frac{7}{2} \end{gathered}[/tex]

The x-interception is (7/2, 0).

Now, we graph.

Where h is the hypothenuse.

To find the hypothenuse of the right triangle formed, we use the distance formula and both points.

[tex]d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Replacing the coordinates, we have

[tex]\begin{gathered} d=\sqrt[]{(0-7)^2+(3.5-0)^2}=\sqrt[]{(-7)^2+(3.5)^2} \\ d=\sqrt[]{49+12.25}=\sqrt[]{61.25}\approx7.83 \end{gathered}[/tex]

Therefore, the hypotenuse is 7.83 units long, approximately.

At last, the area of the triangle is found with the formula

[tex]A=\frac{1}{2}b\cdot h[/tex]

Where b is the base and h is the height of the triangle. b = 3.5, h = 7.

Replacing these values, we have

[tex]A=\frac{1}{2}(3.5)\cdot(7)=\frac{24.5}{2}=12.25u^2[/tex]

Therefore, the area of the triangle is 12.25 square units.

Function or not function (3,7), (3,6), (5,4), (4,7)

Answers

It is not a function.

Pluto has a diameter of 1,413 miles. What does this distance equal in kilometers?
(1 mile = 1.6 kilometers)


A. 12,761 km
B. 2,275 km
C. 3,476 km
D. 143,042 km

Answers

1,413 miles x 1.6 = ~2,275 kilometers

Therefore, B (2,275 km) is correct.

Expand the sum: 3(2y-5)

Answers

The sum of the given expression is found as 6y - 15.

What is termed as the distributive property?To "distribute" something means to divide it or give a share or portion of it. The distributive property refers to the distributive law of multiplication placed above a white basic arithmetic operations such as addition and subtraction. This property states that multiplying the sum of two or even more addends by a number produces the same outcome as multiplying each addend separately by the number and afterwards adding this same products together.In other words, a combination of the type A (B+ C) can be solved using the distributive property as A (B + C) = A B +AC.

For the given question,

The equation is stated as;

sum: 3(2y-5)

Using distributive property.

= 3×2y - 3×5

On simplification;

= 6y - 15

Thus the sum of the given expression is found as 6y - 15.

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4 x 107 is
?
times as much as 4 x 10³.

Answers

Step-by-step explanation:

I think thats 10 times

Answer: 4 x 10^4

Step-by-step explanation:
4 x 10^7= 40,000,000
4 x 10^3 = 4,000

Now 40,000,000 - 4,000 = 40,000

40,000 converts to 4 x 10^4

PUNTOS POSIBLE A parking meter that is 1.6 meters (m) tall casts a shadow 3.6 m long. At the same time, a tree casts a shadow 9 m long. 1.6 m 3.6 m 9 m What is the height of the tree?

Answers

Answer:

4 meters

Explanation:

The triangle formed by the parking meter and its shadow is similar to the triangle formed by the tree and its shadow. So, the ratio of the height of the object and its shadow is constant and we can write the following equation:

[tex]\frac{Tree}{\text{Shadow Tre}e}=\frac{\text{ Parking meter}}{Shadow\text{ Parking meter}}[/tex]

So, replacing the values, we get:

[tex]\frac{Tree}{9\text{ m}}=\frac{1.6\text{ m}}{3.6\text{ m}}[/tex]

Solving for the height of the tree, we get:

[tex]\begin{gathered} \frac{Tree}{9\text{ m}}\times9m=\frac{1.6\text{ m}}{3.6\text{ m}}\times9m \\ \text{Tree = 4 m} \end{gathered}[/tex]

Therefore, the height of the tree is 4 meters.

What number is best to use to simplify a fraction Least common multiple be least common denominator see greatest common factor de greatest

Answers

The greatest common factor and least common multiple are the best used to simplify a fraction.

Suppose we wanted to add the fractions:

10/12 and 20/15.

Now, consider the fraction:

10/12

We can eliminate that component from both the numerator and the denominator and simplify the fraction if we can identify the greatest common factor between 10 and 12.

So,

The factors of 10 are 1, 2, 5, 10.

The factors of 12 are 1, 2, 3, 4, 6, 12.

Therefore, GCF of 10 and 12 is 2.

Hence,

10/12 = ( 10 ÷ 2 ) / ( 12 ÷ 2 ) = 5/6

Similarly,

For 20/15,

The factors of 20 are 1, 2, 4, 5, 10, 20.

The factors of 15 are 1, 3, 5, 15.

The greatest common factor is 5.

So,

20/15 = ( 20 ÷ 5 ) / ( 15 ÷ 5 ) = 4/3

Now, when we add the fractions:

10/12 + 20/15 = 5/6 + 4/3

Now, as the fractions are already simplified.

By using the least common multiple.

10/12 + 20/15 = 5/6 + ( 4/3 ) × ( 2/2 )

10/12 + 20/15 = 5/6 + 8/6

10/12 + 20/15 = 13/6

Hence, using the greatest common factor we can simplify the fractions, and the least common multiple we can perform operations on the fractions.

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The maximum grade allowed between two stations in a rapid transit rail system is 3.6% between station A and station , which are 300 feet apart, the tracks rise 7ft. What is the grade of the tracks between these stations? round the answer to the nearest tenth of a percent. Does this grade meet the rapid-transit rail standards

Answers

To determine the grade we first need to find the slope of the track, the slope is given by:

[tex]slope=\frac{rise}{run}[/tex]

In this case, we know that the track rise 7 ft in a 300 ft run, then we have:

[tex]slope=\frac{7}{300}=0.023[/tex]

Now that we know the slope we just multiply it by 100 to find the grade:

[tex]\begin{gathered} grade=100*(0.023) \\ grade=2.3 \end{gathered}[/tex]

Hence the grade of the track is 2.3% and since this is less than 3.6% we conclude that this track meets the rapid-transit rail standards

Use a net to find the surface area of the rectangular prism the height of the rectangular prism meets the base at a 90° angle

Answers

Answer:

406 square inches

Explanation:

The net of a rectangular prism has 6 rectangular faces.

In this prism, the dimensions of the faces are:

• 2 rectangles with length 7 in. and width 5 in.

,

• 2 rectangles with length 7 in. and width 14 in.

,

• 2 rectangles with length 14 in. and width 5 in.

Next, we find the surface area of the prism:

[tex]\begin{gathered} \text{Surface Area}=2(7\times5)+2(7\times14)+2(14\times5) \\ =2(35)+2(98)+2(70) \\ =70+196+140 \\ =406in^2 \end{gathered}[/tex]

The surface area of the rectangular prism is 406 in².

Use a suitable half-angle formula to find the exact value of cos(15°).

Answers

Remember that

[tex]\cos (\frac{x}{2})=\pm\sqrt[]{\frac{1_{}+\cos x}{2}}[/tex]

For x=30 degrees

[tex]\cos (\frac{30^o}{2})=\cos (15^o)=\sqrt[]{\frac{1+\cos 30^o}{2}}[/tex]

we know that

[tex]\cos 30^o=\frac{\sqrt[]{3}}{2}[/tex]

substitute

[tex]\cos (15^o)=\sqrt[]{\frac{1+\frac{\sqrt[]{3}}{2}}{2}}[/tex][tex]\cos (15^o)=\sqrt[]{\frac{2+\sqrt[]{3}}{4}}[/tex][tex]\cos (15^o)=\frac{\sqrt[]{2+\sqrt[]{3}}}{2}[/tex]

I need help writing a equation for a circleEnds of diameter: (1,-2) and (10,8)

Answers

The equation of the circle with the given end point is;

[tex](x-5.5)^2+(y-3)^2=\text{ }\frac{181}{4}[/tex]

Here, we want to write the equation of a circle, given the end points of the circle

Given the end-points, we can use the formual for the distance to get the radius of the circle

We have this as follows;

[tex]\begin{gathered} D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \\ (x_1,y_1)\text{ = (1,-2)} \\ (x_2,y_2)\text{ = (10,8)} \\ D\text{ = }\sqrt[]{(10-1)^2+(8-(-2))^2} \\ D\text{ = }\sqrt[]{9^2+10^2} \\ D\text{ = }\sqrt[]{181} \end{gathered}[/tex]

To get the radius of the circle, we have to divide the diameter by 2

We have this as;

[tex]r\text{ = }\frac{D}{2}\text{ = }\frac{\sqrt[]{181}}{2}[/tex]

Now, the other thing needed to write the equation of the circle is the center of the circle

The center of the circle can be calculated by the use of the midpoint formula

[tex]\begin{gathered} (x,y)\text{ = (}\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}) \\ \\ (x,y)\text{ = (}\frac{1+10}{2},\frac{8-2}{2})\text{ = (5.5,3)} \end{gathered}[/tex]

The general equation of the circle is;

[tex]\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ (a,b)\text{ = (5.5,3)} \\ r\text{ = }\frac{\sqrt[]{181}}{2} \\ \\ (x-5.5)^2+(y-3)^2=\text{ }(\frac{\sqrt[]{181}}{2})^2 \\ \\ (x-5.5)^2+(y-3)^2=\text{ }\frac{181}{4} \end{gathered}[/tex]

Use a graph in a [-2π, 2π, π/2] by [-3, 3, 1] viewing rectangle to complete the identity

Answers

We have the expression:

[tex]\frac{1-2\cos 2x}{2\sin x-1}[/tex]

Let's work first with the numerator. We have that we can write cos2x like this:

[tex]\cos 2x=1-\sin ^2x[/tex]

doing this substitution we get the following:

[tex]\begin{gathered} 1-2\cos 2x=1-2\cdot(1-\sin ^2x)=1-2+4\sin ^2x=4\sin ^2x-1 \\ =(2\sin x+1)(2\sin x-1) \end{gathered}[/tex]

Now that we have these two factors, we can use them on the original identity to get:

[tex]\frac{1-2\cos2x}{2\sin x-1}=\frac{(2\sin x+1)(2\sin x-1)}{2\sin x-1}=2\sin x+1[/tex]

therefore, the resulting identity is 2sinx+1

Solve for u.
(u-1)²=2u²+8u+25

Answers

Answer:

u = -4 or -6

Step-by-step explanation:

We know that,

( a + b ) = a² + 2ab + b²

Accordingly, let us solve the given equation.

( u - 1 )² = 2u² + 8u + 25

First, solve the brackets.

u² - 2u + 1 = 2u² + 8u  + 25

Subtract u² by both sides.

-2u + 1 = 2u² - u² + 8u + 25

-2u + 1 = u² + 8u + 25

Now, add 2u by both sides.

1 = u² + 8u + 2u + 25

Subtract 1 by both sides.

0 = u² + 10u + 25 -1

0 = u² + 10u + 24

And solve the quadratic equation and solve for u.

0 = u² + 6u + 4u + 24

0 = u ( u + 6 ) + 4 ( u + 6 )

0 = ( u + 4 ) ( u + 6 )

Therefore,

u + 4 = 0

u  = -4

or

u + 6 = 0

u = -6

I tried to solve this but I immediately got confused.

Answers

Firstly, let us find the perimeter.

Perimeter P is;

[tex]P=AB+BC+AC[/tex]

The length of AB and AC can be calculated using the formula for distance between two points.

[tex]\begin{gathered} AB=\sqrt[]{4^2+2^2} \\ AB=\sqrt[]{16+4} \\ AB=\sqrt[]{20} \\ AB=4.47\operatorname{cm} \end{gathered}[/tex][tex]\begin{gathered} AC=\sqrt[]{4^2+4^2} \\ AC=\sqrt[]{16+16} \\ AC=\sqrt[]{32} \\ AC=5.66\operatorname{cm} \end{gathered}[/tex][tex]BC=6\operatorname{cm}[/tex]

substituting we have;

[tex]\begin{gathered} P=AB+BC+AC \\ P=4.47\operatorname{cm}+6\operatorname{cm}+5.66\operatorname{cm} \\ P=16.13\operatorname{cm} \end{gathered}[/tex]

The perimeter is 16.13 cm.

Secondly, The Area A.

[tex]A=\frac{1}{2}bh[/tex][tex]undefined[/tex]

Andre used 1/2 of a stick of butter to make multiple batches of brownies. The recipe calls 1/8 for of a stick of butter for each batch. How many batches did he make?

Please help!! Will give brainlest

Answers

He made 4 batches.

1/8 + 1/8 + 1/8 + 1/8 = 4/8

4/8 = 1/2

Kylie has an idea for how to calculate 23 23. She says,
"Twenty times 20 is 400, and 3 times 3 is 9;, so 23 23 should be 400 plus 9, which is 409."
What is wrong with Kylie's method? Don't just start over in a different way and don't compute 23-23
directly and compare the answer with Kylie's, work with Kylie's idea. Shade the large square below,
which consists of 23 rows with 23 small squares in each row, to help you explain your answer.

Answers

Answer:

Don't just start over in a different way, work with Kylie's idea. Use the large square below, which consists of 23 rows with 23; Question: 1. Kylie has an idea for how to calculate 23-23. She says, Twenty times 20 is 400, and 3 times 3 is 9, so 23-23 should be 400 plus 9, which is 409.

Step-by-step explanation:

Donovan walked a total of 5 3/8 miles on Sunday and Saturday if he walked 2 and 1/4 Mile on Saturday how many did he walk on Sunday

Answers

The total miles Donovan walked were 5 3/8, we know that he walked 2 1/4 saturday then:

[tex]\begin{gathered} 5\frac{3}{8}-2\frac{1}{4}=\frac{43}{8}-\frac{9}{4} \\ =\frac{43}{8}-\frac{18}{8} \\ =\frac{25}{8} \\ =3\frac{1}{8} \end{gathered}[/tex]

He walked 3 1/8 miles on sunday.

find the slope x intercept and y intercept of the standard form equation below 7x + 3y equals 42

Answers

Given the equation of the line :

[tex]7x+3y=42[/tex]

To find the slope, we will write the equation of the line in slope- intercept form

So, it will be as following :

[tex]\begin{gathered} 7x+3y=42 \\ 3y=-7x+42 \end{gathered}[/tex]

Divide all terms by 3

[tex]\begin{gathered} \frac{3y}{3}=-\frac{7x}{3}+\frac{42}{3} \\ \\ y=-\frac{7}{3}x+14 \end{gathered}[/tex]

Which will be similar to the general form: y = m * x + b

Where m is the slope

So, the slope of the given equation = -7/3

To find y- intercept, substitute with x = 0

[tex]\begin{gathered} 7\cdot0+3y=42 \\ 3y=42 \\ \\ y=\frac{42}{3}=14 \end{gathered}[/tex]

To find x- intercept , substitute with y = 0

[tex]\begin{gathered} 7x+3\cdot0=42 \\ 7x=42 \\ \\ x=\frac{42}{7}=6 \end{gathered}[/tex]

so, the answer is :

[tex]\begin{gathered} x-\text{intercept}=6 \\ y-\text{inercept}=14 \\ \text{slope}=-\frac{7}{3} \end{gathered}[/tex]

What's the equation of the tangent to [tex]y = x^2[/tex] at [tex]x = 2[/tex]?

Answers

Answer:

y=4x-4.

Step-by-step explanation:

1. the required equation of the tangent line has the form:

y=kx+i, where k=f'(x₀), i - interception;

2. if x₀=2, then y₀=2²=4;

3. f'(x)=2x, then f'(x₀)=2*2=4;

4. the required equation with unknown 'i' is y=4x+i;

it is possible to calculate unknown 'i' using coordinates (x₀;y₀):

5. 4=4*2+i, ⇒ i=-4;

6. finally, y=4x-4.

P.S. the suggested solution is not the shortest one.

Please help me dont have much time

Answers

Answer:

+,  +,  -4,  5, -20

Step-by-step explanation:

hope this helps

Kayla's class went on a field trip to an aquarium. One tank had 30 clown fish. She miscounted the total number of clown fish in the tank and recorded it as 24 fish. What is Kayla's percent error?a 6%b 25%c 30%d 30%

Answers

Error = Value with error - Correct value

Error = 24-30 = -6

(Note tha the minus sign means the value is less than the correct value)

[tex]\text{ \%error = }\frac{\text{error}}{\text{True value}}\text{ x 100\%}[/tex][tex]=\frac{6}{30}\text{ x 100\% = 20\%}[/tex]

What is inverse of square root? How could the inverse be used to solve an equation that included a square root?

Answers

The power 2 (or exponent 2) is the inverse of the square root:

√x*√x = (√x)² = x

What is the inverse of the square root?

The square root of a number X, gives a number Y such that the product between Y and itself is equal to X, this means that:

if:

√x = y

Then:

y*y  = x

So we could write:

√x*√x = (√x)² = x

So the exponent 2 is the inverse of the square root.

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What are the solutions to the equation 3|x + 5| - 2 = 13 ?

Answers

To solve the absolute value equation;

[tex]3|x+5|-2=13[/tex]

Note that the left side of the equation is an absolute value. The first step is to remove the absolute value sign, and then the next step is to solve while using the positive and negative value of the number on the right side of the equation.

This is shown below;

[tex]\begin{gathered} 3|x+5|-2=13 \\ \text{remove the absolute value sign;} \\ We\text{ now have;} \\ 3(x+5)-2=13 \\ 3(x+5)=13+2 \\ 3x+15=15 \\ \text{Subtract 15 from both sides;} \\ 3x+15-15=15-15 \\ 3x=0 \\ \text{Divide both sides by 3} \\ \frac{3x}{3}=\frac{0}{3} \\ x=0 \end{gathered}[/tex]

Let us now solve for the equation when the right side is -13.

[tex]\begin{gathered} 3(x+5)-2=-13 \\ 3(x+5)=-13+2 \\ 3x+15=-11 \\ \text{Subtract 15 from both sides;} \\ 3x+15-15=-11-15 \\ 3x=-26 \\ \text{Divide both sides by 3;} \\ \frac{3x}{3}=-\frac{26}{3} \end{gathered}[/tex]

ANSWER:

[tex]\begin{gathered} x=0, \\ OR \\ x=-\frac{26}{3} \end{gathered}[/tex]

The last option is the correct answer

Anton counted 36 dogs and cats at the animal shelter. He noticed that there are 18 fewer cats than dogs. If c= the number of cats and d= the number of dogs, then which system of equations represents the situation?

Answers

Answer: 2d + 18 = 36

Step-by-step explanation:

c = number of cats, d = number of dogs

1. d + c = 36 because there are 36 cats and dogs combined

2. c = d - 18 because there are 18 fewer cats than dogs

3. d + d - 18 = 36 because we inserted the equation of step 2 in the equation of step 1

4. 2d + 18 = 36 is the simplified equation of step 3

The average speed, s, in miles per hour that a student walks the 3 miles from home to school varies inversely as the number of hours, h that the student walks.The formula is given by s = 3/hAs the number of hours it takes the student to walk from home to school increases, what happens to the speed?

Answers

[tex]\begin{gathered} \text{The given formula is} \\ \\ s\text{ =}\frac{3}{h} \\ \text{Because there is an inverse relationship betwe}en\text{ the distance walked and the time} \end{gathered}[/tex]

If the number of hours it takes the student to walk home increases, then the speed decreases

Let us see an example

if h = 1

and we increase h to be = 3

[tex]\begin{gathered} \text{when h =1} \\ \text{The sp}eed,\text{ s =}\frac{3}{1}=3milesperhour \end{gathered}[/tex][tex]\begin{gathered} \text{When h increases to 3} \\ s\text{ =}\frac{3}{3}=1mileper\text{ hour} \end{gathered}[/tex]

3miles/hour is more than 1 mile/hour so hence the speed will decrease when the time increases

The answer is option A, the speed decreases

a rectangle has a lenght of 33 yard less than 6 times it's width. if the area of the rectangle is 6195 square yards, find the length of the rectangle

Answers

Answer

The length of the Rectangle is 177 yards

SOLUTION

Problem Statement

The question tells us that the rectangle has a length of 33 yards less than 6 times its width. We are asked to find the length of the rectangle given that the area of the rectangle is 6195 square yards.

Solution

To solve the question, we simply need to interpret each sentence of the question

Let us go through each portion and come up with equations.

[tex]\begin{gathered} Let\text{ the length of the rectangle be }l \\ \text{Let the width of the rectangle be }w \\ \\ \text{ We are told the length is 33 yards times less than 6 times its width: } \\ l=6w-33\text{ (Equation 1)} \\ \\ \text{ We are told that the Area of the rectangle is 6196} \\ \therefore l\times w=6195\text{ (Equation 2)} \end{gathered}[/tex]

Now that we have the equations, we can solve them simultaneously. We shall use the substitution method.

[tex]\begin{gathered} l=6w-33\text{ (Equation 1)} \\ lw=6195\text{ (Equation 2)} \\ \text{From Equation 2, we have that:} \\ w=\frac{6195}{l} \\ \text{ Substituting the expression for w into Equation 1.} \\ \\ l=6w-33\text{ becomes,} \\ l=6(\frac{6195}{l})-33 \\ \text{ Multiply both sides by l} \\ l\times l=l(\frac{6\mleft(6195\mright)}{l}-33) \\ \\ l^2=37,170-33l \\ \text{ rewrite the equation, we have:} \\ l^2+33l-37170=0 \end{gathered}[/tex]

We have obtained a quadratic equation in terms of the length of the rectangle. After solving the equation, we can find the length of the rectangle.

To solve, we shall apply the Quadratic Formula. The Quadratic Formula is given by:

[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Given the Quadratic equation,} \\ ax^2+bx+c=0 \\ (In\text{ our case, x is }l) \end{gathered}[/tex]

Let us apply the formula to our equation as follows:

[tex]\begin{gathered} Given\text{ the equation: } \\ l^2+33l-37170=0 \\ a=1,b=33,c=-37170 \\ \\ \therefore l=\frac{-33\pm\sqrt[]{33^2-4(-37170)(1)}}{2(1)} \\ \\ l=\frac{-33\pm\sqrt[]{1089+148,680}}{2} \\ \\ l=\frac{-33\pm\sqrt[]{149,769}}{2} \\ \\ l=\frac{-33\pm387}{2} \\ \\ l=177\text{ or -210} \\ \\ \text{ Since we are dealing with lengths and lengths cannot be negative, } \\ \text{Length of the Rectangle is 177 yards} \end{gathered}[/tex]

Final Answer

The length of the Rectangle is 177 yards

Express y in terms of x. Then find the value of y when x= -15 - y = 3xY in terms of x:Y=

Answers

first solve y

[tex]\begin{gathered} 5-y=3x \\ 5-y-5=3x-5 \\ -y=3x-5 \\ (-1)\times-y=(-1)\times(3x-5) \\ y=-3x+5 \end{gathered}[/tex]

now replace x=-1

[tex]\begin{gathered} y=-3(-1)+5 \\ y=3+5 \\ y=8 \end{gathered}[/tex]

Estimate the total cost of the following items for your dorm room. Round the individual cost to the nearest ten dollars. Round your answer to the nearest dollar (no cents).

Answers

First, we need to round each individual item to the nearest ten dollars.

Loft bed $149.68 = $150.00

Beanbag chair $39.73 = $40.00

Storage cubes $19.85 = $20.00

Lava lamp $19.68 = $20.00

Now, we need to add up all the items to find the total cost.

Total cost = $150.00 + $40.00 + $20.00 + $20.00

Total cost = $230

Hence, the estimated total cost for the dorm room items is $230.

Graph f(x)=-2x + 4. What is x when f(x)=-8? Complete the explanation on how you found x.

Answers

f(x) = - 2x + 4

To find the value of x at f(x) = -8

Substitute f(x) in the equation above by -8

-8 = -2x + 4

Subtract 4 from both sides to move 4 from the right side to the left side

-8 - 4 = -2x + 4 - 4

-12 = -2x

Divide both sides by -2 to find x

[tex]-\frac{12}{-2}=-\frac{2x}{-2}[/tex]

6 = x

The value of x at f(x) = -8 is 6

The first point x = 0

f(0) = -2(0) + 4

f(0) = 0 + 4

f(0) = 4

The point is (0, 4)

The second point y = 0

f(x) = 0

0 = -2x + 4

Add 2x to both sides

0 + 2x = -2x + 2x + 4

2x = 4

Divide both sides by 2

x = 2

The point is (2, 0)

at y = -8 x = 6

Other Questions
A motorcycle moving at 18 m/s decelerates at a rate of 3.6 m/s. What is the car'svelocity 4 seconds later? Search on the internet and write your own conclusions about calculus (Differentiation) usage indifferent life applications like economy, medicine, engineering, etc... If M is the midpoint of overline PQ , what is the value of M ?p=14 and q=26 when he applied to y combinator (see case exhibit 3), what hypotheses did houston have about dropboxs strategy? be specific. as of june 2010, which of them turned out to be wrong? be specific. pls help will mark brainliest Single-celled organisms are able to maintain internal stability because they according to the principle of diminishing marginal productivity: The flowers, surprised with the joy of beauty, bent their heads to one another, as the wind caressed them, and said: "Sisters, how lovely you have become. You make the day bright."The river, glad of new strength and rejoicing in the unison of all its waters, murmured to the shores in music, telling of its release from icy fetters, its swift flight from the snow-clad mountains, and the mighty work to which it was hurryingthe wheels of many mills to be turned, and great ships to be floated to the sea.Waiting blindly in its bed, the clay comforted itself with lofty hopes. "My time will come," it said. "I was not made to be hidden forever. Glory and beauty and honour are coming to me in due season."One day the clay felt itself taken from the place where it had waited so long. A flat blade of iron passed beneath it, and lifted it, and tossed it into a cart with other lumps of clay, and it was carried far away, as it seemed, over a rough and stony road. But it was not afraid, nor discouraged, for it said to itself: "This is necessary. The path to glory is always rugged. Now I am on my way to play a great part in the world."But the hard journey was nothing compared with the tribulation and distress that came after it. The clay was put into a trough and mixed and beaten and stirred and trampled. It seemed almost unbearable. But there was consolation in the thought that something very fine and noble was certainly coming out of all this trouble. The clay felt sure that, if it could only wait long enough, a wonderful reward was in store for it.Then it was put upon a swiftly turning wheel, and whirled around until it seemed as if it must fly into a thousand pieces. A strange power pressed it and moulded it, as it revolved, and through all the dizziness and pain it felt that it was taking a new form.Then an unknown hand put it into an oven, and fires were kindled about itfierce and penetratinghotter than all the heats of summer that had ever brooded upon the bank of the river. But through all, the clay held itself together and endured its trials, in the confidence of a great future. "Surely," it thought, "I am intended for something very splendid, since such pains are taken with me. Perhaps I am fashioned for the ornament of a temple, or a precious vase for the table of a king."At last the baking was finished. The clay was taken from the furnace and set down upon a board, in the cool air, under the blue sky. The tribulation was passed. The reward was at hand.Close beside the board there was a pool of water, not very deep, nor very clear, but calm enough to reflect, with impartial truth, every image that fell upon it. There, for the first time, as it was lifted from the board, the clay saw its new shape, the reward of all its patience and pain, the consummation of its hopesa common flower pot, straight and stiff, red and ugly. And then it felt that it was not destined for a king's house, nor for a palace of art, because it was made without glory or beauty or honour; and it murmured against the unknown maker, saying, "Why hast thou made me thus?"Many days it passed in sullen discontent. Then it was filled with earth, and somethingit knew not what but something rough and brown and dead-looking, was thrust into the middle of the earth and covered over. The clay rebelled at this new disgrace. "This is the worst of all that has happened to me, to be filled with dirt and rubbish. Surely I am a failure."But presently it was set in a greenhouse, where the sunlight fell warm upon it, and water was sprinkled over it, and day by day as it waited, a change began to come to it. Something was stirring within ita new hope. Still it was ignorant, and knew not what the new hope meant.One day the clay was lifted again from its place, and carried into a great place. Its dream was coming true after all. It had a fine part to play in the world. Glorious music flowed over it. It was surrounded with flowers. Still it could not understand. So it whispered to another vessel of clay, like itself, close beside it, "Why have they set me here? Why do all the people look toward us?" And the other vessel answered, "Do you not know? You are carrying a royal sceptre of lilies. Their petals are white as snow, and the heart of them is like pure gold. The people look this way because the flower is the most wonderful in the world. And the root of it is in your heart."Then the clay was content, and silently thanked its maker, because, though an earthen vessel, it held so great a treasure.In a well-written paragraph of 57 sentences, explain how the short story is allegorical in nature. Your response should:identify the universal themeidentify and explain symbolism as it relates to the allegoryuse evidence from the text Write a paragraph that explains how the story communicates the theme that it is human nature to make mistakes?The story is about a girl name prandora and the box she was giving that contains diseases and cares . pandora was a creation that the gods created to punish epimetheus .even though pandora was told to never open the box she was very curious about what was in the box .she just couldnt stop staring at the shiney box and touching it because the box was so pretty and shiny. But they was no way for her to know what was in the box and what will happen if she opens the box A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand contains 13% vinegar. The chef wants to make 230 milliliters of a dressing that is 11% vinegar. How much of each brand should she use?First brand:Second brand:Solve by percent mixture using system of linear equations. Rewrite each of these sentences in active voice.1. Julie's dog was walked by her sister.2. The party was attended by several well-known celebrities.3. Lunch was eaten by the whole family.4. A new contract was signed.5. Our cars were washed thoroughly by the attendant. Just need help with the the forth question! What direction do the horizontal winds near the surface move in a hurricane in the northern hemisphere?. Write the equation of the line that passes through the points (-4,9)(4,9) and (-1,9)(1,9). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Temporary measure that addresses the immediate needs until a doctor can take a look at the injury and decide on the necessary treatmentCalling 911First AidCPRAED 8. Barbara stayed cheerful in spite of her cold. The theme of "First Frost" is most likely Obeing hurt the first time is the most painful. Ofrost is like love. Obeing hurt can make you strong. Ofrost is loss. before turning into oratorio, handel was successful at composing Regina Aguirre deposits $2.000 into an ordinary annuity after each 6-month period for 4 years. The acco pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned. Make the following conversion in the metric system by multiplying by the appropriate conversion factor. Write your answer as a whole number or decimal.380 m to kilometers km The process by which blank capture blank energy to convert blank and blank into blank and blank thereby storing some of the captured energy in chemical blank