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olga_2 [115]
2 years ago
12

given a polynomial function f(x) = -x^2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have

in common
Mathematics
1 answer:
hoa [83]2 years ago
4 0

This shows that both functions have the same y-intercept

<h3>Polynomial and exponential functions</h3>

Given the following functions as shown:

f(x) = -x^2 + 2x + 1

g(x) = 2^x

The y-intercept occurs at x = 0

For f(x) =  -x^2 + 2x + 1

f(0) =  -0^2 + 2(0) + 1

f(0) = 1

For the g(x),  the y intercept is caculated as:

g(0) = 2^0
g(0) = 1

This shows that both functions have the same y-intercept

Learn more on intercept here: brainly.com/question/1884491

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Hiiio!!Can someone please help me ❤️:D
Delvig [45]

Answer:

Step-by-step explanation:

ratio of 216 : 64

bigger is 20 inches

so divide 20 by 216... to find the unit.. then multiply that by 64 to find the size of the other

20/216 = 0.0925925

0.0925925 * 64 =5.9259"

so about 6 inches    

and Hi  :D

5 0
3 years ago
Am I dealing with harmonic stuff (trig)?
pochemuha

You just need to solve for when y=0:

\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0

\implies\cos8t=9\sin8t

\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t

\implies8t=\tan^{-1}\dfrac19+n\pi

\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8

where n is any integer. We only care about when 0\le t\le1, which happens for n\in\{0,1,2\}.

t=\dfrac18\tan^{-1}\dfrac19\approx0.01

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80

8 0
3 years ago
Compare numbers to their opposites based on their positions on a number line. Choose ALL true statements based on these comparis
Anvisha [2.4K]

Answer:

A, B, E

Step-by-step explanation:

I'm not too sure about B, but A and E are definitely true

8 0
3 years ago
Please help... need help ASAP due today... which ones are the answers?
andrey2020 [161]

Answer:

Choices 1 and 4 are correct.

Step-by-step explanation:

We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:

\frac{4-(-2)}{3-1}=\frac{6}{2}=3

Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be -\frac{1}{x}. Therefore, if the line's slope is 3, then we need to find answers with a slope of-\frac{1}{3}.

The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, wherey-y_{1}=m(x-x_{1}). The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:

x+3y=9\\3y=9-x\\y=3-\frac{1}{3}x\\y=-\frac{1}{3}x+3

Equations like these can be real sneaky, so it's important not to jump to conclusions with them.

6 0
3 years ago
What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?
STALIN [3.7K]

Answer:

6%.

Step-by-step explanation:

6 0
3 years ago
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