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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

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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An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is

Norma-Jean [14]

Answer:

$x = 0$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,0)$

$(x_2,y_2) = (-3,0)$

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

$(x,y) = 0.5(x_1 + x_2, y_1 + y_2)$

$(x,y) = 0.5(3-3, 0+ 0)$

$(x,y) = 0.5(0, 0)$

Open bracket

$(x,y) = (0.5*0, 0.5*0)$

$(x,y) = (0, 0)$

Next, determine the slope of the given endpoints.

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

$m = \frac{0 - 0}{-3- 3}$

$m = \frac{0}{-6}$

$m = 0$

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

$m_2 = -\frac{1}{m_1}$

In this case:

$m = m_1 = 0$

So:

$m_2 = -\frac{1}{0}$

$m_2 = unde\ fined$

Since the slope is $unde\ fined$ , the equation is:

$x = a$

Where:

$(x,y) = (a,b)$

Recall that:

$(x,y) = (0, 0)$

So:

$a = 0$

Hence, the equation is:

$x = 0$

5 0

3 years ago

What is the next sequence 3.1 3.1 1 33.11 33.111

MrMuchimi

The next number in the sequence should be 333.111

7 0

3 years ago

Read 2 more answers

Ruby is visiting a wildlife center to gather information for her term paper. The center has a circular pond with a diameter of 2

Anton [14]

Well , the diameter means a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. The area means what the extent or measurement of a surface or piece of land. So area means inside so all you need to do is just to divide each side by knowing what 20/4 is and that = 5 meters

5 0

2 years ago

The probability of winning the game is 7/10. What is the probability that they will lose?

cestrela7 [59]

3/10 is the probability of them losing.

8 0

3 years ago

GO.o has 3 orange picks for every 2 green. If there are 25 picks in all, how many picks are orange?

Reika [66]

Given

GO.o has 3 orange picks for every 2 green

there are 25 picks in all

Find out how many picks are orange.

To proof

As given in question

GO.o has 3 orange picks for every 2 green

i.e the ratio of orange to every green becomes

$\frac{Orange}{Green}:\frac{3}{2}$

total number of picks = 25

let the GO.o pick of 3 orange picks for every 2 green =x

than the equation becomes

3x + 2x = 25

5x = 25

x = 5

Than

the number of oranges = 3x

putting the value of x

= 15

the number of green = 2x

= 10

thus the 15 picks are orange.

Hence proved

4 0

3 years ago

Read 2 more answers