Jamal opens a savings account with a starting balance of $200 and plans to

Raphael is traveling in a straight line at a constant speed from point A to point B. His distance from point B in miles is -20t+

Rudik [331]

Answer:

Speed = 20 mi/h

Explanation:

There are two points A and B

Distance between both the points are define with function -20t + 45 miles

where t represent the number of hours of travelling.

Now firstly we find the initial position. At starting time is 0, so we put t=0 in given function of t.

At t=0;

d₀ = -20(0) + 45 = 0 + 45 = 45 miles

Now we find the distance travell after starting first hour.

Than we put t = 1 in the given function

At t = 1;

d₁ = -20(1) + 45 = -20 + 45 = 25 miles

Difference between d₁ & d₀ is

45 - 25 = 20 miles

We see that in one hour, total distace is covered 20 miles

Now we use time, speed, distance relation

Speed = distance/time

Speed= $\frac{20}{1}$

Speed = 20 miles/hour

That's the final answer.

I hope it will help you.

7 0

3 years ago

Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshir

Vika [28.1K]

25 + 0.3(25) is the same as (1 + 0.3) * 25

4 0

3 years ago

Read 2 more answers

What are the coordinates of the triangle after a dilation with a scale factor of 2? Center it at (2, 2) .

Elodia [21]

Dilation of a point P(x,y) with scale factor s centred at (p,q) is given by
P'=(p+s*(x-p),q+s*(x-q))

Substituting
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))

P P'
(2,4) (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6) (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3) (2+2(-3-2), 2+2*(3-2)) = (-8, 4)

7 0

3 years ago

Read 2 more answers

This is a two-step equation. Steps: first add or subtract, then divide or multiply. 1. 5x - 7 = 48 2. 7n - 2 = 54 3. -4y + 7 = -

Bumek [7]

1. 5x - 7 = 48

5x = 48 + 7 = 55

x = 55/5 = 11

2. 7n - 2 = 54

7n = 54 + 2 = 56

n = 56 / 7 = 8

3. -4y + 7 = -21

-4y = -21 - 7 = -28

y = -28 / -4 = 7

4. x/2 + 5 = 12

x/2 = 12 - 5 = 7

x = 7 * 2 = 14

5. x/3 - 7 = 13

x/3 = 13 + 7 = 20

x = 20 * 3 = 60

6. -7 - 2 = 33 <- did you type this wrong?

-7x - 2 = 33

-7x = 33 + 2

-7x = 35

x = 5

7. -3x - 8 = -41

-3x = -41 + 8 = -33

x = -33 / -3 = 11

8. 3n - 7 = 35

3n = 35 + 7 = 42

n = 42 / 3 = 14

9. 7y + 9 = -47

7y = -47 - 9 = -56

y = -56 / 7 = -8

10. -8x + 4 = 68

-8x = 68 - 4 = 64

x = 64 / -8 = -8

11. 4n - 7 = -43

4n = -43 + 7 = -36

n = -36 / 4 = -9

12. 5x - 7 = 108

5x = 108 + 7 = 115

x = 115 / 5 = 23

13. 8 - 5w = -37

-5w = -37 - 8 = -45

w = -45 / -5 = 9

14. 42 = 18 + 4n

4n = 42 - 18 = 24

n = 24 / 4 = 6

15. 70 - 6x = 40

-6x = 40 - 70 = -30

x = -30 / -6 = 5

5 0

4 years ago

F(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?

WINSTONCH [101]

Answer:

Solution,

 $h(x) = f(x) + g(x) \\ \: \: \: \: \: \: \: = 2x - 1 + 7x - 12 \\ \: \: \: \: \: \: = 2x + 7x - 1 - 12 \\ \: \: \: \: \: \: = 9x - 13$ 

hope this helps...

Good luck on your assignment..

4 0

3 years ago

Read 2 more answers