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2 years ago

7

A hiker climbs a mountain. After 1 hour he is at an altitude of 200 feet. After 3 hours, he is at an altitude of 350 feet. What

is the rate of change?

1 answer:

s344n2d4d5 [400]2 years ago

6 0

Answer: 75 feet per hour

Step-by-step explanation:

X: 1, 3

Y: 200, 350

150/2

75

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Inga [223]

Answer:

g(x) = $\frac{x+3}{x-3}$

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = $\frac{2x}{(x-3)}$

g(x) = $\frac{2x}{(x-3)}-1$

= $\frac{2x-(x-3)}{(x-3)}$

= $\frac{(x+3)}{(x-3)}$

Therefore, g(x) = $\frac{x+3}{x-3}$ will be the answer.

5 0

2 years ago

I need a little help here please

erma4kov [3.2K]

Answer:

Plot points at (0,1) and (-3,3) and draw a line going through both points.

Step-by-step explanation:

Let's start by graphing the y intercept.

y=mx+b

m is the slope. b is the y intercept. Since the equation is y=-2/3x+1, we can conclude the y intercept is 1. We graph a point at (0,1).

If you didn't know the y intercept is where the line intercepts the y-axis.

Now, from the point (0,1) we go up 2 and to the left 3 as it is a negative slope. We reach (-3,3). Plot a point there. Then draw a line going through both points. There's your line!

3 0

2 years ago

Mhc-cghz-fve - G MEEET C0DE<br>ANYONEEEE❤️❤️

Lena [83]

Answer:

What is it about

now girls are also starting to post questions like these

I thought only boys did

3 0

2 years ago

Read 2 more answers

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

3 years ago

What is the slope 5x+2y=-2

SpyIntel [72]

The slope is -2.5 because you subtract 2y from both sides, then add two to both sides, then divide both sides by 2 to isolate y

6 0

3 years ago