Find the slope, m, and y-intercept, b, for the graph of the linear equation represented by the table below.

Answer:  Choice A.   4 times

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Explanation:

We'll be using this formula

[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]

to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).

To start things off, we'll compute the AROC from x = 1 to x = 2.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]

Do the same for the AROC from x = 3 to x = 4.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]

The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.

Answer:

Step-by-step explanation:

Multiply the number of containers by the amount in each to find the total amount of sugar:

The triangles have a common vertex angle, and a given pair of

corresponding and congruent angles, they are therefore similar triangles.

Reasons:

The given parameters are;

∠AED ≅ ∠ACB

By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =

∠BAC in common.

Therefore, ∠DAE ≅ ∠BAC, by reflexive property.

Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in

ΔACB.

(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA

Angle-Angle similarity postulate, and by Corresponding Angles of Similar

Triangles are Congruent CASTC we have;

∠AED ≅ ∠ACB

∠DAE ≅ ∠BAC

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Answer:

n-8=19

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

1) Simplify the expression

-1 + 10 + 9

9 + 9

18

Answer:

MRT or TRM

Step-by-step explanation:

RT and MR meet at point R. Point R must be included in the final angle as well as the endpoints of RT and MR. The resulting angle is thus MRT, or TRM

Step-by-step explanation:

The area = (5 × 3) + (2 × 3) = 15 + 6 = 21

The perimeter = 2 + 3 + 5 + 5 + 3 + 2 = 20

please give me a brainliest answer

Answer:

y = -2x + 9 or y = 9 - 2x

Step-by-step explanation:

First find the gradient

Next, look at where the line intercepts (goes through) the y-axis: 9

The equation of the line is y = -2x + 9

Tip: The gradient is negative because the line is going downwards from left to right; if the line was going upwards, the gradient would be positive.

Hope this helps!

Answer:

Step-by-step explanation:in the picture

Answer:x=[tex]\frac{13}{2}[/tex] or x= 6.5 either way x equals to the number 6.5 .

Step-by-step explanation:The image below will explain how you solve the problem also thanks for the person above me for the idea of answering this question.

HOPE THIS HELPS

:)

Also website as seen in the photo is symbolab

Answer:

-24 degrees Celsius

Step-by-step explanation:

6 x -4 = -24

Answer:

24 degrees.

Step-by-step explanation:

6 * 4 = 24.

Answer:

m^2+11m-11.

Step-by-step explanation:

Answer: When x=10 , both expressions have a value of 33. James determined that these two expressions were equivalent expressions using the values of x= 4 and x=6 .Which statements are true? Check all that apply. When x=2, both expressions have a value of 18. The expressions have equivalent values for any value of x.

Step-by-step explanation:

Hope this helps!

Answer:

x is 90 because it is a right triangle

Answer:

[tex]p(t) = - 3t + 75 \\ p(t) = 0 \\ - 3t + 75 = 0 \\ 3t = 75 \\ t = \frac{75}{3} \rightarrow \boxed{t = 25 \: mins} \\ 3 \: papers \: per \: mins \\ domain \: \boxed{t \geqslant 0} \: \\ because \: time \: cant \: be \: negative \: on \\ \: this \: perticular \: occasion \\ \therefore \: range \: \boxed {p(t) \geqslant 0 }[/tex]

Answer:

7

Step-by-step explanation:

Answer:

You will have exact seven.

Answer:

105 miles

Step-by-step explanation:

The ratio you have is 1:15

So you must multiply 7 by 15 to find the actual distance in miles.

7*15=105

Answer:

23

Step-by-step explanation:

14x2=28-5=23

Answer:

23

Step-by-step explanation:

add 14+14= 28-5=23

The given highest power of x in the given function, y = 4·x + 2, is 1,

therefore, the graph of the function is a straight line.

The statement that correctly compares the function shown on the graph

with the function; y = 4·x + 2 is; C. The function shown on the graph has a

smaller rate of change but a higher starting point.

Reasons:

The given function is; y = 4·x + 2

Comparing with the equation for a straight line; y = m·x + c, we have;

The rate of change or slope, m = 4

The y-intercept, starting point, c = 2

Two points on the function shown on the graph are; (0, 4), and (-2, -2)

The slope of the given graph is therefore;

[tex]m = \dfrac{4 - (-2)}{0 - (-2) } = \dfrac{6}{2} = 3[/tex]

The rate of change of the graph, m = 3

The equation of the graph is therefore;

y - 4 = 3·(x - 0)

Which gives;

y = 3·x + 4

The y-intercept, starting point of the graph, is therefore, c = 4

Which gives;

The function shown on the graph has a higher starting point but a smaller rate of change than the given function.

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Answer:

x > 3

Step-by-step explanation:

Answer:

31 cm

Step-by-step explanation:

the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41

Answer:

42/7 = 6 miles per hour

Step-by-step explanation:

Given,

The total distance covered by the person =  [tex]1/7[/tex] a miles,

Time taken by him =  [tex]1/42\\[/tex]an hour,

We know that, speed = Distance, time

The speed of the person = [tex]1/7 over 1/42[/tex]

42/7

also known as 6 miles per hour

I hope this helps and have a great day!

Answer:

Can you please give me the question or link

Step-by-step explanation:

Answer:

(-0.4)²

= -0.4×-0.4

product of two negative numbers is positive

so, 0.4×0.4

=4/10×4/10

=16/100

=0.16

The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31

Given:

cost of two books = $4.99 + $12.99

= $17.98

Amount paid for books = $17.98 - 10% of $17.98

= 17.98 - 0.1 × 17.98

= 17.98 - 1.798

= $16.182

Cost of notebooks = quantity × price

= 2 × $2.88

= $5.76

cost of composition books = quantity × price

= 3 × $0.79

= $2.37

cost of pencil packs = quantity × price

= 2 × $1.89

= $3.78

Total cost = $5.76 + $2.37 + $3.78

= $11.91

Amount paid for school supplies = $11.91 - 15% of $11.91

= 11.91 - 0.15 × 11.91

= 11.91 - 1.7865

= $10.1235

Therefore,

total cost of all items Gina bought = $16.182 + $10.1235

= $26.3055

Approximately, $26.31

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Answer:

C

Step-by-step explanation:

Answer:

3.) x = 10

Step-by-step explanation:

Let’s plug it into our equation

2(10) + 1 = 21

21 is greater than 15

Answer:

Step-by-step explanation:

The slope formula:

Substitute the values to get:

_________

[tex] \: [/tex]

(X1, X2) = (-68, 47)

(Y2, Y1) = (-66, 33)

Soo :

m = [tex]\frac{Y2 - Y1}{X2 - X1}[/tex]

m = [tex]\frac{33 - 47}{68 - 66}[/tex]

m = [tex]\frac{-14}{2}[/tex]

m = [tex]\boxed{\bold{-7}}[/tex]

Done.