What is the slope and y-intercept of the linear function?

f(x)= 2/3x + 12

Answer:

B. The function shown on the graph has a smaller rate of change and a lower starting point.

Step-by-step explanation:

✍️The function y = 6x - 1, has:

slope (m) = 6, and

Starting point/y-intercept (b) = -1

✍️Let's find the slope (m) and the starting point (y-intercept) of the function shown on the graph:

Using the points, (0, -6) and (2, 4),

Slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -(-6)}{2 - 0} = \frac{10}{2} = 5 [/tex]

Slope (m) = 5

The strating value is the value of y when x = 0. In order words, it is the point at which the line of the function intercepts the y-axis.

The y-axis is intercepted at y = -6.

Therefore, the starting value (b) = -6.

Therefore, the statement correctly compares the function shown on the graph above with the function y = 6x - 1 is:

B. The function shown on the graph has a smaller rate of change and a lower starting point.

Comparing their slopes, 5 is smaller than 6.

Comparing their starting points, -6 is lower than -1.

Answer:

B

Step-by-step explanation:

Correct on a p e x

Answer:

[tex] \frac{6}{(x + 2)} [/tex]

Step-by-step explanation:

[tex] \frac{2x + 2}{x + 2} \div \frac{4 {x}^{2} +8 x + 4}{12x + 12} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{4( {x}^{2} + 2x + 1) }{12(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{( x + 1)^{2} }{3(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \times \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{6 {(x + 1)}^{2} }{(x + 2) {(x + 1)}^{2} } \\ \\ = \frac{6}{(x + 2)} [/tex]

Answer:

translate (x,y) (x-5,y+8)

Answer:

99

Step-by-step explanation:

k/9=10+1

k/9*9=11*9(cancel division 9 to multiplication 9)

k=99

Answer:

90

Step-by-step explanation:

Answer:

Yes, it is proportional

Step-by-step explanation:

the equation for the table is

x ÷ 28 = y

plug in the numbers for the variables

56 ÷ 28 = 2

84 ÷ 28 = 3

140 ÷ 28 = 5

Answer: [-4, 8]

Step-by-step explanation:

The range is the mimimum y-value, the highest y-value.

On the graph, the lowest y-value is -4 and the highest y-value is 8. Thus, when writing in the range form, the range would by [-4, 8].

The range would be in hard brackets because the range touches exactly the points of -4 and 8. If each point had an open circle, instead of a closed point, there would be soft brackets.

Answer:

I think the answer is 1500

Step-by-step explanation:

 Elevation of the road at 5 miles from the starting point is 1250 ft.

Given in the question,

Two triangles formed by a road are ΔADE and ΔABC (As shown in the figure attached).

Since, ∠A ≅ ∠A (Reflexive property)

           ∠AED ≅ ∠ACB (right angles)

            ΔADE ~ ΔABC (By A-A property of similarity)

In these similar triangles, corresponding sides will be proportional.

[tex]\frac{AB}{BC}=\frac{AD}{DE}[/tex]

[tex]\frac{8}{2000}=\frac{5}{DE}[/tex]

[tex]DE=\frac{5\times 2000}{8}[/tex]

      [tex]=1250[/tex] miles

   Therefore, elevation of the road at 5 miles from the starting point will  be 1250 ft.

    Option (B) will be the answer.

Learn more about the similarity of the triangles here,

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Graph the line.

y=-4x+4

Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

Here [ a, b ] = [ - 5, - 1 ] , thus

f(b) = f(- 1) = - (- 1)² - 4(- 1) + 6 = - 1 + 4 + 6 = 9

f(a) = f(- 5) = - (- 5)² - 4(- 5) + 6 = - 25 + 20 + 6 = 1 , then

average rate of change = [tex]\frac{9-1}{- 1-(-5)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer: I can’t figure this one out because I’m only in 8th grade.

Step-by-step explanation:

Answer:wh0re

Step-by-step explanation:

Answer:

Totals: 4.5% = 435$ 6% = 1452$, Monthly: 18$, 24$

Step-by-step explanation:

Answer:

slope is 4

Step-by-step explanation:

rise over run lol

Answer:

the one with the empty circle

brainliest.pls

Answer:

open circle going to the left so your answer is B

Answer:

1.5

Step-by-step explanation:

Answer:

The answer is Function A

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

Answer:

we conclude that function A has a greater initial value.

Step-by-step explanation:

As we know that the initial value is obtained by setting x=0

so

Given the function A

From function A, it is clear that at point x=0, the value of y=8

i.e.

at x=0, y=8

Given the function B

[tex]y=3x+4[/tex]

substitute the value x=0 to get the initial value of function B

[tex]y=3x+4[/tex]

[tex]y=3(0)+4[/tex]

[tex]y=0+4[/tex]

[tex]y=4[/tex]

i.e.

at x=0, y=4

Therefore, we conclude that function A has a greater initial value.

Answer:

x=35

Step-by-step explanation:

simple equstion x+40+3x=180 then subtract forty combine the two X's and divide by 180

Answer:

isosceles right

Step-by-step explanation:

two same side and right angle

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

It is isosceles right triangle as two sides have same meausurement and right angle because 1 angle is 90 degrees

Answer:

[tex]a=\sqrt{55}[/tex] or [tex]7.146[/tex]

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

Answer:

4 to the right and 3 upward

or 7 overall

Step-by-step explanation:

4-0=4

5-2=3

The probability of getting 3 in 132 times is 22.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Paul rolls a fair dice 132 times.

The probability of getting 3 in one roll is 1/6

so now it is 132 rolls

so,

= 132/6

= 22

Hence, The probability of getting 3 in 132 times is 22

For more references on probability, click;

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Answer:

f(5) = 13

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 12

x = 5

Step 2: Evaluate

Answer:

13

Step-by-step explanation:

replace the x with 5.

5^2-12=

25-12=13

The algebraic expression of the statement is 16c

The statement is given as:

the product of 16 and the number of chipmunks

Product means *

So, we have:

16 * the number of chipmunks

The number of chipmunks is represented with c

So, we have

16 * c

Evaluate

16c

Hence, the algebraic expression of the statement is 16c

Read more about algebraic expression at:

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Answer:

The answer  is

B. 20.75

Answer:b.20.75

Step-by-step explanation:

big brain knowledge

Answer:

It's B!

Step-by-step explanation:

Answer:

4005 mètres de distance.

Step-by-step explanation: