I'll pick uo two points from the table.
P1 = (5, 11)
P2 = (7, 13)
1.- Find the slope
slope = (y2 - y1) / (x2 - x1)
Substitution
slope = (13 - 11) / (7 - 5)
Simplification
slope = 2/2
Result
slope = 1
2.- Find the equation of the line
y - y1 = m(x - x1)
Substitution
y - 11 = 1(x - 5)
Simplification
y = x - 5 + 11
Result
y = x + 6
This is the answer to your question
The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:Motion of a Car7865Distance 52from Starting39Point(mi)261301562314Time (hr)Which of the following best describes the motion of the car shown? It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours.lt travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours. lt travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.lt travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
From the graph we can conclude:
The cars travels for 2 hours, then stops for 1 hour and finally travels again for 2 hours.
-------------------------------------
[tex]undefined[/tex]as a group. determine how many different chicken sandwiches he can pick from by taping in the 3 pieces of red yarn to the "chicken " index card and each end of the yarn to the "white", "wheat", or "Italian " cards. what sandwiches options have you created?
Answer:
3 options.
Chicken - White
Chicken - Italian
Chicken - Wheat
Explanation:
This question can be better explained with a graphic:
You have an index card with the word "chicken", and 3 index cards with the words "white", "wheat", and "Italian", which are the options of bread.
Also we have represeted the red yarn with 3 black lines that connect the options.
We can see from the image that we have 3 options of sandwiches:
Chicken - White
Chicken - Italian
Chicken - Wheat
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounces of sugar, how many ounces of flour would you need to use? Solve by using equivalent fractions.
Answer:
27 ounces of flour
Step-by-step explanation:
[tex]\frac{7}{3}[/tex] x [tex]\frac{9}{9}[/tex] = [tex]\frac{63}{27}[/tex]
7/3 = 63/x
isolate the so that it is on the top, so multiply by x on the right and on the left
this gives you:
x*7/3 = 63
try to isolate x and multiply by 3 to get rid of the denominator
x*7 = 63 * 3
x*7 = 189
finally isolate x by dividing by 7 and getting rid of the 7 multiplying with it
x= 189/7
x = 27
you need 27 ounces of flour if you have 63 ounces of sugar
***I NEED TO FIND THE SLOPE OF THE LINE THOUGH THESE POINTS****
We need to find the slope of a segment that joins the points (5, -2), and (-5, -8)
Therefore we use the formula for the slope:
[tex]\text{slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-(-2)}{-5-5}=\frac{-6}{-10}=0.6[/tex]Therefore the value of the slope is 0.6 = 6/10 = 3/5
You may need to enter the answer in a particular format (all three values above are the same, but expressed differently)
Then if we want the expression for the equation of the line, we use this slope, and either one of the points that they give us. for example the point (5, -2)
We write the general form of the equation of a line in slope-intercept form:
[tex]y=mx+b[/tex]and use for "m" 3/5, and require that the point (5, -2) be part of the line:
[tex]\begin{gathered} y=\frac{3}{5}x+b \\ -2=\frac{3}{5}(5)+b \\ -2=3+b \\ -2-3=b \\ b=-5 \end{gathered}[/tex]Therefore, the equation of the line (in slope intercept form) is:
[tex]y=\frac{3}{5}x-5[/tex]You invest $12,000 in an account that pays simple interest of 3.4%
each year. Find the interest earned after 10 years.
If we invest $12,000 in an account that pays simple interest of 3.4%
each year. 4080 is the interest earned after 10 years.
What is Simple Interest?Simple interest is the cost of borrowing money without accounting for the effects of compounding.
Given that if we invest $12,000 in an account that pays simple interest of 3.4% each year. The interest earned after 10 years we have to calculate.
A=P(1+rt)
A= Final Amount
P=Principle amount=12000
r = rate of interest=3.4%
t is time =10 years
Substitute these values in Formula.
Convert 3.4% to decimal number by dividing with 100.
A=12000(1+0.034(10))
A=12000(1+0.34)
A=12000(1.34)
A=16080
So intial amount-Final amount
12000-16080
4080
Hence the interest earned after 10 years is 4080.
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer: 85 cm
Step-by-step explanation:
10) If f(x) = 7 – 4x and the domain is {-2,0, 3/4}, find the range.
For this case we have the following function given:
[tex]f(x)=7-4x[/tex]We also know that the domain is given by:
[tex]D=\left\lbrace -2,0,\frac{3}{4}\right\rbrace [/tex]and in order to find the range we need to use the domain given:
[tex]f(-2)=7-4(-2)=7+8=15[/tex][tex]f(0)=7-(4\cdot0)=7[/tex][tex]f(\frac{3}{4})=7-4\cdot\frac{3}{4}=7-3=4[/tex]So then the range for this case would be given by:
[tex]R=\left\lbrace 15,7,4\right\rbrace [/tex]what is the discrimant of x^2 +x-2=0
Answer:
Discriminant = 9.
Step-by-step explanation:
Discriminant
[tex]\boxed{b^2-4ac}\quad\textsf{when}\;ax^2+bx+c=0[/tex]
[tex]\textsf{when $b^2-4ac > 0 \implies$ two real roots}.[/tex]
[tex]\textsf{when $b^2-4ac=0 \implies$ one real root}.[/tex]
[tex]\textsf{when $b^2-4ac < 0 \implies$ no real roots}.[/tex]
Given function:
[tex]x^2+x-2=0[/tex]
Therefore:
a = 1b = 1c = -2Substitute the values of a, b and c into the discriminant formula:
[tex]\begin{aligned} \implies b^2=4ac&=(1)^2-4(1)(-2)\\&=1-4(-2)\\&=1+8\\&=9\end{aligned}[/tex]
Therefore, the discriminant of the given function is 9.
As the discriminant is greater than zero, this implies that there are two real roots.
I needed help on this
Recall that a rotation of 180 degrees around the origin transforms the coordinates following the rule:
(x, y) --> (-x, -y)
and also recall that a reflection across the y-axis will convert the following:
(x, y) --> (-x, y)
Therefore, we cansider the succession of transformations given as:
(x, y) --> (-x, -y) --> (x, -y) (since the y value stays the same in the reflection around the y axis, but the x changes to its opposite)
Then, this transformation (from beginning to end)
(x, y) --> (x, -y) is equivalent to a reflection around the x-axis (which keeps the x coordinate intact and flips the y-coordinate to its opposite. So, please select the option that reads: Reflection around the x-axis.
A small toy rocket is launched from a 48-foot pad. The height ( h, in feet) of the rocket t seconds after taking off is given by the formula h=−3t'2+0t+48. How long will it take the rocket to hit the ground?
Given: A small toy rocket is launched from a 48-foot pad. The height ( h, in feet) of the rocket t seconds after taking off is given by the formula
[tex]h=-3t^2+0t+48[/tex]Required: To find out how long will it take the rocket to hit the ground.
Explanation: When the rocket hits the ground its height h=0. Hence
[tex]\begin{gathered} -3t^2+0t+48=0 \\ t^2=\frac{48}{3} \\ t^2=16 \end{gathered}[/tex]which gives
[tex]t=\pm4[/tex]Since time can't be negative. Hence t=4 seconds.
Final Answer: t=4 seconds.
Which one of these numbers are greater than 3.2×10-3
3.2 x 10^-3 = 0.0032 ( we have to move the decimal point 3 units to the left since the exponent of 10 is -3)
Express all the options in decimal form
2.1 x 10^-3 = 0.0021
4.2 x 10^-4 = 0.00042
5.2 x 10^-2 = 0.052
5.2 x 10^-1= 0.52
0.052 > 0.0032
0.52> 0.0032
So, correct options are:
5.2 x 10^-2
5.2 x 10^-1
100CPOINTS WILL GIVE BRAINLYEST
The value of the width is 13.5 cm which is the correct answer would be option (C).
What is the volume of a rectangular prism?The volume of the rectangular prism is the product of the base area and the height.
Given that the volume of a rectangular prism is 6,142.5 cm³. The height is 16.25 cm and the length is 28 cm
The volume of the rectangular prism
V = Length × Width × Height
6,142.5 = 28 × Width × 16.25
Apply the multiplication operation,
6,142.5 = 455 × Width
Width = 6,142.5 / 455
Apply the division operation, and we get
Width = 13.5 cm
Hence, the value of the width is 13.5 cm.
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A line's slope is 6, and its y-intercept is -3. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
dihuyyh
Step-by-step explanation:
Graph the inequality
x<5
Draw the graph of x-axis which is lesser than 5 .
What is Graph inequality ?
In mathematics, a relationship between two expressions or values that are not equal to each other is called inequality.In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.Graphing inequalities is the process of showing what part of the number line contains values that will "satisfy" the given inequality. A graph of this inequality will show what numbers may be used to replace x in our inequality to make a true statement.Linear inequalities can be graphed on a coordinate plane.The solutions for a linear inequality are in a region of the coordinate plane. A boundary line, which is the related linear equation, serves as the boundary for the region.Linear inequalities are different than linear equations, although you can apply what you know about equations to help you understand inequalities. Inequalities and equations are both math statements that compare two values.Equations use the symbol =; inequalities will be represented by the symbols <, ≤, >, and ≥.One way to visualize two-variable inequalities is to plot them on a coordinate plane.To learn more about Graph the inequality refer :
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A small publishing company is planning to publish a new book. Let C be the total cost of publishing the book (in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 100 copies of the book. Suppose that =C+10N700 gives C as a function of N during the first printing. Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.
The correct description of the values in both the domain and range of the function are;
Domain is on the interval (0, 100) which are possible values of number of copies of the book produced.
Range is on the interval (700, 1700) which are the possible total cost of publishing the book
What is the domain and the range of the function?The formula for total cost is;
Total cost = fixed cost + variable cost or
We are given the function; C = 10N + 700
Where;
C is the total cost of publishing the book (in dollars).
N is the number of copies of the book produced.
a) Domain is possible values of N.
For the first printing, the company can produce up to 100 copies of the book.
Thus, the domain is on the interval (0, 100) but only integers.
The range is the possible cost.
Possible cost maximum = 10(100) + 700 = 1700
Thus, the range is on the interval (700, 1700) where any cost in that interval is not continuous, but follows a discrete sequence.
b) Reasonable values of the domain are [0, max] where the maximum value is the largest book sales ever in the market area, maybe 50 or 75
Reasonable values for the range are [700, max] where the maximum cost is 700 + 10 *50 or 75,
or 1200 or 1450.
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Sash has $80.000 in a savings account. The interest rate is 4% per year and is not compounded. How much interest will she earn in 5 years??
Answer:$16,000 in interest
Step-by-step explanation: well, you just take 4% of 80,000 which is $3200. (80,000x0.04=3200). Then because it is 5 years, just multiply the 3200 by 5 (there isn't compound interest.) 3200*5=16,000.
How do I graph this??
According to the given equation (y = (3/4)x -2) the value of y for x:
Y = {-5 , -2 , 1 , 4}
How is a coordinate plane defined simply?A coordinate plane is just a two-dimensional plane that is created when two number lines cross. These number lines include the x-axis, a horizontal number line, and indeed the y-axis, a vertical number line.
The coordinate plane where is it?In a coordinate plane, which is a two-dimensional number line, the vertical line is known as the y-axis and the horizontal line as the x-axis, as you might recall from pre-algebra. These parallel lines cross one another at their zero points. The origin is where we start from.
According to the given data:Equation:
y = (3/4)x -2
X = {-4 , 0 , 4 , 8}
for each value of x the value of the y :
For x = -4
y = (3/4)x -2
y = (3/4)(-4) -2
y = -5
For x = 0
y = (3/4)x -2
y = (3/4)(0) -2
y = 0 -2
y = -2
For x = 4
y = (3/4)x -2
y = (3/4)(4) -2
y = 1
For x = 8
y = (3/4)x -2
y = (3/4)(8) -2
y = 6 -2
y = 4
According to the given equation (y = (3/4)x -2) the value of y for x:
Y = {-5 , -2 , 1 , 4}
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I can’t figure this equation out. -2(x + 1) = -2x + 5
Since equality is false there is no solution.
3aX7a= Because I need a lot of help and I also need the answer to 7aX13a
Answer:
3a x 7a= 21a^2
Step-by-step explanation:
7a x 13a=91a^2
Julia had a bag filled with gumballs. There were 2 lemon-lime, 3 watermelon, and 5 grape gumballs. What is the correct sample space for the gumballs in her bag?
a. Sample space = 2, 3, 5
b. Sample space = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
c. Sample space = lemon-lime, watermelon, grape
d.Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
If Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
The number of lemon limes in the bag = 2 lemon-lime
Number of watermelon in the bag = 3 watermelon
Number of grape gumballs in the bag = 5 grape gumball
Sample space is the set of all the possible outcomes the experiment
Here there are 2 lemon-lime, 3 watermelon and 5 grape gumball
Hence, if Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
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Answer:Option B is the correct answer
correctly solve the equation dx + fy=g for x?
Given the expression:
[tex]dx+fy=g[/tex]To solve this expression for x, means that you have to isolate the term "x" in one side of the equal sign and all other terms mus be in the other side of it.
To "pass" a term from one side of the = sign to the other you have to perform the inverse operation to both sides of the equation (this way the equality remains valid)
So, the term "fy" is adding, the inverse operation is to subtract it, first step is to subtract this term of both sides of the equation:
[tex]dx+fy-fy=g-fy[/tex]+fy and -fy cancel each other so that:
[tex]dx=g-fy[/tex]Next, the term "x" is being multiplied by "d" but you need to reach the point were x is alone.
To cancel this multiplication you have to divide it by "d", and to keep the equality valid you have to perform the operation in both sides of the = sign:
[tex]\frac{dx}{d}=\frac{(g-fy)}{d}[/tex]d/d=1, then we get that x is equal to:
[tex]x=\frac{(g-fy)}{d}[/tex]next sequence of 3/2, 7/2, 13/4
PLEASE HELP ME !!!!
a) What is the real length of the ship in
centimetres?
b) What is the real length of the ship in
metres?
The real length of the ship in centimeters is 800000 cm and the real length of the ship in meters is 8000 m
What is ratio and proportion?Ratio is a comparison tool for like-kind amounts. A:B or a/B is the ratio formula for two numbers, a and b. A ratio is considered to be in proportion when two or more ratios are equal. Fractions form the foundation of the ratio and proportion concepts. The primary pillars on which many other mathematical notions are built are ratio and proportion. When comparing heights, weights, distances, or times, or when adding ingredients to a recipe, for example, ratio and proportion can be used to solve a variety of everyday problems. Ratios are created by dividing two amounts, and proportions are created when two ratios are equivalent. Different ways, such as x: y or x/y, can be used to express a ratio.
The real length in cm
= 8 000 meters in cm
= 800000 cm
The real length
= 8000 m
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help please on this
Answer:
its was 100.6
Step-by-step explanation:
i hope this helps
Final8. Find the measure of the angle indicated in bold.
Those are supplementary angles, hence:
[tex]\begin{gathered} (12x+8)+(15x+10)=180 \\ 27x+18=180 \\ 27x=180-18 \\ x=\frac{162}{27} \\ x=6 \\ \text{Therefore:} \\ 15x+10=15(6)+10=90+10=100 \\ \end{gathered}[/tex]11.
If £25 = 800 rubles, how many £ are in 992 rubles?
Answer:
31
Step-by-step explanation:
800/25=32
992/32=31
Answer:
£31
Step-by-step explanation:
let me know if you want a through explanation
What type of quadrilateral is given? (Note: The red hash marks denote congruent sides. The sides with one hash mark are congruent to each other. The sides with two hash marks are congruent to each other.)a.) Parallelogramb. b) Rectangle.c ) Rhombus.d ) Square.e) Trapezoid
Given the image we have a Parallelogram. Because it is a four-sided plane figure with opposite sides parallel.
ANSWER
a) Parallelogram
BD bisects ZABC. Solve for x and find m ZABC.mZABD = 9x - 8. mZCBD=6x + 1XmZABC=°Enter your answer in the answer box and then click Check Answer.All parts showing
We will use the angle properties to determine the constituent angles.
We are given that a line segment ( BD ) is an angle bisector of < ABC. We will go ahead and represent this piece of information graphically as follows:
We will define the following angle as follows:
[tex]m\angle ABC\text{ = }\vartheta[/tex]The angle bisector ( BD ) divides the angle into two equal halves as follows:
[tex]m\angle ABD\text{ = m}\angle CBD\text{ = }\frac{\angle ABC}{2}=\frac{\vartheta}{2}[/tex]We are given expressions for both angles as follows:
[tex]\begin{gathered} m\angle ABD\text{ = 9x - 8 } \\ m\angle CBD\text{ = 6x + 1} \end{gathered}[/tex]We know from the property of angle bisector that the two constituent angles are equal i.e:
[tex]\begin{gathered} m\angle ABD\text{ = m}\angle CBD \\ 9x\text{ - 8 = 6x + 1} \\ 3x\text{ = 9} \\ \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 3}} \end{gathered}[/tex]Now we can use the value of ( x ) calculated above and determine either of the constituent angles as follows:
[tex]\begin{gathered} m\angle ABD\text{ = 9}\cdot(3)\text{ - 8 = 19 degrees} \\ m\angle CBD\text{ = 6}\cdot(3)\text{ + 1 = 19 degrees} \end{gathered}[/tex]Then we can use the angle bisector property relation again to determine the angle ABC as follows:
[tex]\begin{gathered} m\angle ABD\text{ = m}\angle CBD\text{ = }\frac{\angle ABC}{2} \\ 19\text{ degrees = }\frac{\angle ABC}{2} \\ \textcolor{#FF7968}{\angle ABC}\text{\textcolor{#FF7968}{ = 38 degrees}} \end{gathered}[/tex]Answer:
[tex]\begin{gathered} \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 3}} \\ \textcolor{#FF7968}{\angle ABC}\text{\textcolor{#FF7968}{ = 38 degrees}} \end{gathered}[/tex]What is the missing number in the solution to 968 divided 10
968 / 10
To divide by the move the coma one place to the left
968/10 = 96.8
PLEASE HURRY ILL GIVE BRAINALIEST!!!
Almost 7 over 16 of the total water supplied to a household is wasted because of leaky faucets. Determine the decimal equivalent of 7 over 16 .
Use words to explain if the decimal terminates or repeats.
The decimal equivalent of 7 over 16 is 0.4375 .
What is 7/16 as a decimal?Fractions and decimals are two ways to represent the same numbers. A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. A fraction is represented as a numerical value that is defined as a part of a whole.
We will convert the given fraction 7/16 to a decimal number.
To convert any fraction to a decimal, we just need to divide its numerator by denominator.
Here the fraction is 7/16 which means we need to perform 7 ÷ 16 = 0.4375.
So, 7/16 as a decimal is 0.4375.
Thus, 7/16 as a decimal is equal to 0.4375
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