Answer:
16
Step-by-step explanation:
Simply plug 4 into g(x)
g(x) = x^2
g(4) = (4)^2 = 16
Steps:
Find the 2D area of the two triangles:
- multiply 6 x 8 and divide it by 2 (this is the bottom triangle.)
** don't use 10 because it is the hypotenuse.
- 6 x 8 = 48
- 48 / 2 = 24 (you will need to use this twice since there are 2 triangles)
Now find the 2D area of the three rectangles
- first you have to convert 4 yd to feet.
**1 yd = 3 ft
~4 yd = 12 ft
-now multiply 12 x 10
- 12 x 10 = 120ft (use this 3 times since there are 3 rectangles)
Now add all those together:
120 + 120 + 120 + 24 + 24 = 408
The translated function is:
g(x) = 3^(x + 2) + 1
<h3>
How to translate 2 units down the given function?</h3>
Here we have the function:
f(x) = 3^(x + 2) + 4
And we want to translate it two units down.
Remember that a vertical translation of N units is written as:
g(x) = f(x) + N
- If N > 0, then the translation is upwards.
- If N < 0, then the translation is downwards.
So, if the translation is 3 units down, then N = -3, so the translated function is:
g(x) = f(x) - 3 = 3^(x + 2) + 4 - 3 = 3^(x + 2) + 1
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
Answer:
C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent
Equation: 200+5x<20x
200+5x<20x
200<15x
13.3<x
She will have made $195 by her 13th product, once she sells her 14th she will have $10 in profit
Answer: Natalie will begin to make profit on her 14th product
