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2 years ago

7

Two busses go from Sacramento for San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 8.5 hours for t

he trip. The speed of the express bus is 15 mph faster than the speed of the local bus. Find the speed, in miles per hour, of both busses.

1 answer:

Montano1993 [528]2 years ago

8 0

Use formula speed is equal to distance over time

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What is the square root of 14

harina [27]

The question is asking " What is the square root of 14?
3.74
But, if you need to round to the nearest tenth, your answer should come out to be 3.7

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3 years ago

If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?

Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is $\frac{1}{5}(5x-25)+5$

Option B is correct.

Step-by-step explanation:

We are given:

$f(x)= 5x-25\\g(x)=\frac{1}{5}x+5$

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that $g(f(x))=x$ is inverse of function

So placing value of f(x) in g(x)

$g(f(x))=\frac{1}{5}(5x-25)+5$

So, the expression used to represent g(x) as inverse of f(x) is $\frac{1}{5}(5x-25)+5$

Option B is correct.

We can also solve to prove that $g(f(x))=x$

$g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x$

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2 years ago

Read 2 more answers

Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

natima [27]

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

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3 years ago

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2 years ago

<img src="https://tex.z-dn.net/?f=%5Ctext%7BSolve%20the%20system%20of%20equations%3A%7D%5C%5C%5C%5C%5Cleft%20%5C%7B%20%7B%7By%3D

Anika [276]

Hi there!

»»————-　★　————-««

I believe your answer is:

(0.286, 5.587)

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

I have graphed the two equations in a program. When graphed, the lines intersect at point (0.286, 5.587).
See the graph attached.

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

4 0

2 years ago