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3 years ago

3. Given the following functions f(x) and g(x), solve f[g(7)] and select the correct answer below:

Mathematics

2 answers:

antoniya [11.8K]3 years ago

8 0

Hello,
f(g(x))=f(2x+2)=4(2x+2)+21=8x+29
f(g(7))=8*7+29=56+29=85

Delvig [45]3 years ago

7 0

Your answer is 85.

Hope this helps.

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3/8 of 24 is equal to?

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On a number line, find the midpoint between -18 and 4.

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The midpoint between these two would be -7, as you would add these two numbers, and then divide by two.

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3 years ago

Help help I don’t really get this???

insens350 [35]

Answer:

Question 4: $y=\displaystyle -\frac{4}{5}x$

Question 5: $y=-5x-3$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$ where two points that pass through the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

$\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}$

Therefore, the slope of the line is $\displaystyle -\frac{4}{5}$ . Plug this into $y=mx+b$ as the slope (m):

$y=\displaystyle -\frac{4}{5}x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into $y=\displaystyle -\frac{4}{5}x+b$ :

$y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x$

Question 5

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

$\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5$

Therefore, the slope is -5. Plug this into $y=mx+b$ :

$y=-5x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into $y=-5x+b$ :

$y=-5x+(-3)\\y=-5x-3$

I hope this helps!

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2 years ago

What is the area of square HIJK

vagabundo [1.1K]

The perimeter is 36 and the area is 81 units
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3 years ago

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Find the surface area of a rectangular prism that is 16 inches long, 12 inches wide, and 5 inches high.

OverLord2011 [107]

We have an equation for the surface area of a rectangular prism:
A= 2 (w*l+ l*h+ h*w)

Plug l= 16 in, w= 12 in, and h= 5 in into the above equation, we have:
A= 2 (12 in*16 in+ 16 in* 5 in+ 5 in* 12 in)= 664 in^(2).

The final answer is 664 in^(2).

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3 years ago