Marty’s bike ride is represented by the graph shown on the right.



What is Marty’s average speed? Explain how you arrived at this answer.


















Marty’s average speed: ________________

Answer: The point (0, 0) corresponds to the point (4, -7)

Step-by-step explanation:

We have the function f(x) = x^3

And we transform this to get:

g(x) = (x - 4)^3 - 7

Here we have a vertical translation and a horizontal shift, let's define these two shifts:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Then if we start with f(x), g(x) is a translation of 7 units down and 4 units to the right.

This means that any point (x, y) that belongs to the graph of f(x), after the transformation will be (x + 4, y - 7)

Then the point (0, 0) of the original function corresponds to the point (0 + 4, 0 - 7) = (4, - 7) of the function g(x)

We can check this, we need to evaluate the function g(x) in x = 4

g(4) = (4 - 4)^3 - 7= 0 - 7 = -7

g(4) = -7

Then the point (4, -7) belongs to the graph of g(x).

Answer:

-15/2

Step-by-step explanation:

Answer:

x= -7 1/2 or -7.5

Step-by-step explanation:

4x-13=17+8x

-13=17+4x

-30=4x

-7 1/2= x

Answer:

If you want help from someone else, I am available as well.

Answer:

ok

Step-by-step explanation:

Answer:

Michelle.

Step-by-step explanation:

D'Andre's Bank Account:

Remember to find the line, you need to use the formula y=mx+b. The m stands for slope while the b is the y-intercept. For D'Andre's y-intercept we can see that it's 0 and the slope is 2 (you can find it by doing rise/run). His equation is y = 2x.

To find how long it'll take him to get to $500, plug 500 into y: 500 = 2x

Divide by 2 on both sides: 250 = x

It'll take D'Andre 250 months to reach $500.

Fiona's Bank Account:

Unlike D'Andre's graph, she already has the equation, except that it isn't in the easiest form. To get it back to what it was, add 12x to the other side of the equation:

                                       y - 12x = 100**

                                         + 12x = +12x

                                      y =  12x + 100

**Just in case you didn't know, the 100 just means that's how much money she had started out with.

Plug in 500 for y: 500 = 12x +100

Subtract 100 from both sides: 400 = 12x

Divide by 12 to get x alone: 100/3 = x

It'll take Fiona about 33 months to reach $500.

Sam's Bank Account:

Sam has a table for his account, so we need to subtract some of the y coordinates to find his slope. Using 60 and 45 difference, we get 15. Looking at the table I can tell that is the slope because 15 is continually being added. To find his y - intercept, we need to look when his x coordinates was a 0. Therefore, his y-intercept is 60. His equation is y = 15x + 60

Plug in 500 for y: 500 = 15x + 60

Subtract 60 from both sides: 440 = 15x

Divide by 15 to get x by itself: 88/3 = x

It'll take Sam about 29 months to reach $500.

Michelle's Bank Account:

Last we have Michelle. Since she started with 25 dollars, that'll be her y-intercept. It also says that she is depositing 25 dollars per month, meaning 25 is her slope. Her equation should look like y = 25x + 25.

Plug in 500 for y: 500 = 25x + 25

Subtract 25 from both sides: 475 = 25x

Divide 25 from both sides to get x isolated: x = 19

It'll take Michelle 19 months to get $500.

So, in the end, Michelle will reach $500 dollars first.

Answer:

your vertex would be (2,5)

Step-by-step explanation:

Answer:

(2,5)

Step-by-step explanation:

Answer: -3, -4, -5 are the integers

Step-by-step explanation: I don't get what you mean in this problem. You said the sum was -12 but then you are asking for the sum again? Do you want the integers? If so they are -3 -4 and -5 and if you want the sum then it is -12

I hope this helps and brainliest would be appreciated

Answer:

X^2 - X - 2

Explanation:

multiply X by X, then X by 1, then -2 by X, and lastly -2 by 1 and combine like terms (X and -2X)

Answer:

Many solutions

Step-by-step explanation:

Answer:

D because we just distribute the 0.5

Hope this helps and brainliest please

Answer:

0.5x + 1.5

Step-by-step explanation:

0.5(x+3)

on opening bracket : 0.5 * x = 0.5x

+

0.5* 3 = 1.5

∴ 0.5x+1.5

Responder:

La temperatura bajó 12 °

Explicación paso a paso:

Dado que:

Temperatura en la noche = + 2 ° (2

Temperatura de la mañana = - 12 (12 ° bajo cero).

La diferencia de temperatura entre la noche y la madrugada:

Temperatura nocturna - temperatura por la mañana temprano

2 - (-12)

2 + 12 = 14

Hay una diferencia de temperatura de 12 °. La temperatura bajó 12 ° entre la noche y la madrugada.

Answer:

Underfined

Step-by-step explanation:

There are no values of  

x

that make the equation true.

Undefined

Answer:

A. 3500

B. The wall is unidentified, therefore we have to multiply 6 and 50 to recieve a, the height.

Step-by-step explanation:

Answer:

10x^(2)-4x

Step-by-step explanation:

Answer:

12 units/time²

Step-by-step explanation:

F = 2 + 8 - 4 = 6

F = ma

6 = 0.5a

a = 12

Answer:

rational numbers and irrational numbers

Step-by-step explanation:

-5 rational

0.5 rational

the square root of 11 irrational

the square root of 16 is rational

2\3 rational

pi irrational

hope that helps i might be wrong

Answer: -5

Step-by-step explanation:

Answer: They are adjacent

Step-by-step explanation:

Your multiple-choice selection has a typo. Notice that choice b and d is the same answer.

For at most we use the (<) symbol.

$3 per apple = 3x.

$2 per orange = 2y.

Answer: 3x + 2y < 123

Answer:

x ≤ [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

2x ≤ [tex]\frac{3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

4x ≤ 3 ( divide both sides by 4 )

x ≤ [tex]\frac{3}{4}[/tex]

Answer:

[tex] \sf \: x \leqslant \frac{3}{4} [/tex]

Step-by-step explanation:

Given equation,

[tex] \sf \rightarrow \: 2x \leqslant \frac{3}{2} [/tex]

Now the value of x will be,

[tex] \sf \rightarrow \: 2x \leqslant \frac{3}{2} [/tex]

[tex] \sf \rightarrow \: x \leqslant \frac{3}{2 } \times \frac{1}{{{2}}} [/tex]

[tex] \sf \rightarrow \: x \leqslant \frac{(3 \times 1)}{(2 \times 2)} [/tex]

[tex] \sf \rightarrow \: x \leqslant \frac{3}{4} [/tex]

Hence, the value of x is 3/4.

Answer:

Step-by-step explanation:

1697(1+2/100)

1697(102/100)

173094/100

$1730.94

Answer:lol

Step-by-step explanation

Answer:

45

Step-by-step explanation:

Answer:

[tex]0[/tex]

Step-by-step explanation:

We could use the Slope Formula to find the answer, but there's an easier way of doing it. Notice that the y-coordinates of both points are the same. This means that the line that passes through these points is horizontal, which makes our answer [tex]0[/tex] because all horizontal lines have a slope of [tex]0[/tex].

All horizontal lines have a slope of [tex]0[/tex] because the value of y never changes as the value of x changes, so if we were to input any two points on a horizontal line into the Slope Formula, our numerator would be [tex]0[/tex] (because anything subtracted from itself is [tex]0[/tex]), leaving us with a result of [tex]0[/tex] regardless of the denominator since [tex]0[/tex] divided by anything is [tex]0[/tex]. Hope this helps!

Answer:

1 meter is 100 cm so it’s 5cm to 100cm or 1 cm to 20 cm (left side being the drawing)

Hope this helps and brainliest pl

Answer:

8.5 + 5.6 = 14.1 x 6 = 84.6 divided by 2 = 42.3