The perimeter of the rectangle below is 94 units. Find the value of x.

Answer:

B. 1 must be a root of the polynomial 3x^2+x-4

Step-by-step explanation:

Given polynomial

3x^2+x-4

Divided by factor x-1

Gives a remainder of 0

Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4

If x-1 is a factor of the polynomial, we can equate x-1 to 0

x-1=0

Solve for x to get one of the roots

x-1=0

Add 1 to both sides

x-1+1=0+1

x=1

B. 1 must be a root of the polynomial 3x^2+x-4

Answer:

[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]

Answer: (6, 3)

Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.

Our second equation then becomes 2(2y) + 3y = 21.

If we simplify on the left side we get

4y + 3y = 21 which simplifies to 7y = 21.

Solving from here, we find that y = 3.

To find x, plug 3 back in for y in the first equation

to get x = 2(3) which simplifies to x = 6.

So our answer is (6, 3).

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

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Answer:

x=11.2

Step-by-step explanation:

Add the equations.

-10y=40

y=-4

input y

5x-8=48

5x=56

x=56/5

x=11.2

Answer:

x = 11.2 and y = -4

Step-by-step explanation:

Add the two equations

-5x -12y = -8

5x+2y = 48

-------------------

-10y = 40

Divide by -10

-10y/10 = 40/-10

y = -4

5x+2y = 48

5x +2(-4) = 48

5x -8 = 48

Add 8 to each side

5x = 56

Divide by 5

5x/5 = 56/5

x = 56/5

x =11.2

Answer:

45 mph

Step-by-step explanation:

Answer:

1.03x

Step-by-step explanation:

1 year b would be the inital investment added with interest

i believe this is the equation

b = x + r(x)= (1 + r)x

and since it says 3% each year we know its 0.03 (r)

and when you solve it out you get that answer

Answer:

Wet Suit Willy found the most treasures per dive.

Step-by-step explanation:

Given:

Diver name         Number of dive    Number of boxes

Sam                                  11                        33

Wet Suit Willy                  18                        81

Deep Diving Dan            26                       104

Find:

Who found the most treasures per dive

Computation:

Sam's per dive collection = 33 / 11 = 3 boxes

Wet Suit Willy's per dive collection = 81 / 18 = 4.5 boxes

Deep Diving Dan's per dive collection = 104 / 26 = 4 boxes

Wet Suit Willy found the most treasures per dive.

Answer:

segment a double prime b double prime = segment ab over 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. which equation explains the relationship between segment ab and segment a double prime b double prime?

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment a double prime b double prime = segment ab over 2

segment ab = segment a double prime b double prime over 2

segment ab over segment a double prime b double prime = one half

segment a double prime b double prime over segment ab = 2

Answer:  If triangle ABC at A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using   (x + 2, y + 0), then the new coordinates of triangle ABC would be at A'(- 3 + 2,  3), B'(1 + 2, - 3), and C'(- 3 + 2, -3) Which is A'(- 1,  3), B'(3, - 3), and C'(- 1, -3). The dilation by a scale factor of from the origin gives A″ (-1/2, 3/2), B″ (3/2, -3/2) and C″(-1/2, -3/2) = (-0.5, 1.5), B″ (1.5, -1.5) and C″(-0.5, -1.5)

The distance AB and A"B" are given as:

[tex]AB=\sqrt{(1-(-3))^2+(-3-3)^2} =\sqrt{5 2} \\\\A"B"=\sqrt{(1.5-(-0.5))^2+(-1.5-1.5)^2} =\sqrt{13}[/tex]

AB = √52 = √(4×52) = 2√13 = 2A"B"

A"B" = AB/2

Answer:

What The Other Guy Said Was Correct

Step-by-step explanation:

2 + 2 = 4

Answer:

Step-by-step explanation:

From your equations in Part A, we can write the matrix equation as ...

  [tex]\left[\begin{array}{ccc}9&3&1\\25&5&1\\36&6&1\end{array}\right] \cdot\left[\begin{array}{c}a&b&c\end{array}\right] = \left[\begin{array}{c}8&\frac{20}{3}&5\end{array}\right][/tex]

For the purpose of finding the inverse matrix (which we don't really need to do to solve this), it is convenient to use an augmented matrix that will give both the matrix inverse and the solution.

  [tex]\left[\begin{array}{ccc|ccc|c}9&3&1&1&0&0&8\\25&5&1&0&1&0&\frac{20}{3}\\36&6&1&0&0&1&5\end{array}\right][/tex]

For the first step in the solution, we'll divide the first row by 9, then subtract 25 times that from the second row, and 36 times that from the third row. The goal of this step is to make the first column be 1, 0, 0. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&\frac{1}{3}&\frac{1}{9}&\frac{1}{9}&0&0&\frac{8}{9}\\0&-\frac{10}{3}&-\frac{16}{9}&-\frac{25}{9}&1&0&-\frac{140}{9}\\0&-6&-3&-4&0&1&-27\end{array}\right][/tex]

For the second step in the solution, we'll multiply the second row by -3/10, then subtract 1/3 times that from the first row and add 6 times that to the third row. The goal of this step is to make the second column be 0, 1, 0. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&0&-\frac{1}{15}&-\frac{1}{6}&\frac{1}{10}&0&-\frac{2}{3}\\0&1&\frac{8}{15}&\frac{5}{6}&-\frac{3}{10}&0&\frac{14}{3}\\0&0&\frac{1}{5}&1&-\frac{9}{5}&1&1\end{array}\right][/tex]

For the third step in the solution, we'll multiply the third row by 5, then add 1/15 of that to the first row and -8/15 of that to the second row. The goal of this step is to make the third column be 0, 0, 1. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&0&0&\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}&-\frac{1}{3}\\0&1&0&-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}&2\\0&0&1&5&-9&5&5\end{array}\right][/tex]

The middle section of this augmented matrix is the inverse of the coefficient matrix:

  [tex]A^{-1}=\left[\begin{array}{ccc}\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}\\-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}\\5&-9&5\end{array}\right][/tex]

The right section of the augmented matrix is the solution set:

  [tex]X=\left[\begin{array}{c}a\\b\\c\end{array}\right]=\left[\begin{array}{c}-\frac{1}{3}\\2\\5\end{array}\right][/tex]

__

The equation of the parabola is ...

  [tex]\boxed{y=-\dfrac{1}{3}x^2+2x+5}[/tex]

__

The ball will hit the ground when y=0. The values(s) of x can be found from the quadratic formula:

  x = (-b±√(b²-4ac))/(2a) = (-2±√(2²-4(-1/3)(5)))/(2(-1/3))

  x = (2 ± √(32/3))/(2/3) = 3±√24 = {-1.899, 7.899}

It will take about 7.90 seconds for the ball to hit the ground.

Answer:

Step-by-step explanation:

Rad [0,2[tex]\pi[/tex]]

f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)

--[cos(x)-1/2]²+5/4=f(x)

when cos(x)=1/2,the f(x) has Max=5/4

cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)

Answer:

3.22 or 161/50

Answer:

3.22 and 3 11/50/166/50

Step-by-step explanation:

The points in between 3.2 and 3.3 go 3.21, 3.22, 3.23, etc. So first we just write it as a decimal. Easy. Then we write it as a fraction. Writing it as a mixed number would just be 3 22/100 because .01*100 is 1. I simplified it and then converted it into an improper fraction. I hope this helped.

Answer:

1,2, and 4.

Step-by-step explanation:

Hi there! I know that i am kind of late, but the answer on Edge 2020 are options 1,2, and 4. I hope this helps, have a great rest of your day :D

From the figure the correct options are ΔABC ~ ΔDEC, ∠B ≅ ∠E, 3DE = 2AB.

Given that a right triangle ΔABC is being dilated by a scale factor of 2/3 and reflected over the side AC to form the ΔDEF.

Since we know that in reflection transformations the object are similar so we can conclude that ΔABC ~ ΔDEC.

Also, by the definition of similar triangles,

∠B ≅ ∠E, ∠A ≅ ∠D and ∠ACB ≅ ∠DCE.

Now since the scale factor is 2/3,

so,

2AB = 3DE

2BC = 3CE

2AC = 3DC

Hence the correct options are ΔABC ~ ΔDEC, ∠B ≅ ∠E, 3DE = 2AB.

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Answer:

The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit. For example, in a room full of students, there are 10 boys and 5 girls.

Answer:

D) 4x2+4x=4

Step-by-step explanation:

3x2+x2=4x2

-x+5x=+4x

2-6=-4

Combine them for 4x2+4x-4

The correct expression will be 4x²+4x-4

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are two expression:- P = 3x²-x+2 and Q = x²+5x-6

On adding the given expressions, we get,

P+Q = 3x²-x+2+x²+5x-6

= 3x²+x²-x+5x+2-6

= 4x²+4x-4

Hence, P+Q = 4x²+4x-4

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Answer:

According to the graph, f(−3)=3 and f(9)=-7

-7-3/9-(-3)= −10/12

Therefore the answer is -5/6

From Khan

The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

        [tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

        where : [m] → is slope of line and [c] → is the y - intercept

We have the following function -

f(x) = x³ - 9

The average rate of change would be -

r = {720 - (- 36)}/{9 - (- 3)}

r = 756/12

r = 63

Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

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[ Complete question -

what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]

Step-by-step explanation:

4+6+5=15

15-1=14

2/14

1/7

Answer:

[tex]\boxed{\frac{2}{7}}[/tex]

Step-by-step explanation:

Part 1: Finding out total number of marbles

To start, we need to find out how many marbles are in the bag.

[tex]4 + 6 + 5 = 15[/tex] marbles

Part 2: Removing blue marble and finding probability

After removing the blue marble and not replacing it, we can then infer that we have 14 marbles remaining.

If we have 4 red marbles in the bag, simply find the ratio of red marbles to the total marbles.

[tex]\frac{4}{14} = \boxed{\frac{2}{7}}[/tex] or a 28.57% chance of occurrence.

Answer:

Option A)     [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex]

Step-by-step explanation:

There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.

Answer:

y = 3x -2

Step-by-step explanation:

y intercept means the point x = 0

need not be confused in that

we can get the two coordinates as

( 2, -4) and ( 0, -2)

gradient is difference of y/ difference of x

-2+-4/0-2

-6/-2 indeed its 3

so as y intercept is -2

c = -2

y = 3x - 2

Answer

Answer= 4

Step-by-step explanation:

The answer is 4 because for the median you have to put the numbers from smallest to largest.

When you have done that you have to find the middle number which in this case is 4.

Hope that helps you

1. Order data from least to greatest

2. Find the center of the data set

If there is no distinct center to your data,

find the mean of the two middle numbers.

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Since there is the two middle numbers are the same,

the median will be the number that appears two times.

In this case, the median is 4.

Answer:

30 degrees

Step-by-step explanation:

100+50=150

180-150=30

All triangles equal 180 degrees, so if the other angles equal 150 than the third angle equals 30 degrees.

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Answer:

(2,4), (6,4), (2,-2), (6,-2)

Step-by-step explanation:

To dilate a figure multiply 2(x,y)

2(1,2)  = (2,4)

2(3,2) = (6,4)

2(1,-1) = (2,-2)

2(3,-1) = (6,-2)

Hope this helps!   Ξ

Answer:

x = 56

Step-by-step explanation:

Well if both lines are straight that means that 118 is on both sides,

180 - 118 = 62

So angle E and F are both 62.

So we do 62 *2 = 124.

180 - 124 = 56

x = 56

Thus,

angle x is 56.

Hope this helps :)

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

Answer: 12 days

Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day

He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.

He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days

Answer:

Rectangular Cuboid

Step-by-step explanation:

A rectangular cuboid has 4 faces that are rectangles and 2 faces that are squares.  Since a square is a rectangle, this shape is technically built of 6 rectangles and is creates a 3-dimensional shape.  Hence, we have the prism, rectangular cuboid.

Answer:

PLATO sample answer

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

Answer:

B:-1

Step-by-step explanation:

-3-(-2)=-3+2=-1

Answer:

Step-by-step explanation:

[tex] - 3 - ( - 2)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 3 + 2[/tex]

Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.

Calculate:

[tex] - 1[/tex]

Some rules:

[tex]( + ) \times ( + ) = ( + )[/tex]

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex]( - ) \times ( + ) = ( - )[/tex]

Hope this helps..

Answer:

v=lwh

Step-by-step explanation:

which is length×width×height.