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3 years ago

The graphs of three functions are shown.

Mathematics

2 answers:

satela [25.4K]3 years ago

7 0

Answer:

The square root and quadratic function share a y-intercept.
The range of the square root and absolute value function are the same.

Step-by-step explanation:

Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.

X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.

The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.

The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.

The statements that match the graphs are ...

The square root and quadratic function share a y-intercept.
The range of the square root and absolute value function are the same.

Wittaler [7]3 years ago

6 0

Answer:nvm

Step-by-step explanation:

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frez [133]

The answer is B because 140 plus 40 is 180

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3 years ago

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lbvjy [14]

Answer:

x = 7 , y = 7 $\sqrt{2}$

Step-by-step explanation:

A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is

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Using Pythagoras' identity in the right triangle, then

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1 year ago

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What is the range of this function(–11, 8) (13, 7) (14, 7)

scoray [572]

Answer:

The range is { 7,8}

Step-by-step explanation:

The range of the functions is the output values

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3 years ago

Suppose we are testing the null hypothesis H 0 mu=20 and the alternative H iu =20 , normal population with sigma=6 A random samp

cupoosta [38]

Answer:

The value of the test statistic is $z = -1.5$

Step-by-step explanation:

The formula for the test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the statistic, $\mu$ is the mean, $\sigma$ is the standard deviation and n is the number of observations.

In this problem, we have that:

$\mu = 20, X = 17, \sigma = 6, n = 9$

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{17 - 20}{\frac{6}{\sqrt{3}}}$

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The value of the test statistic is $z = -1.5$

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3 years ago

The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraicall

shutvik [7]

First step
Using substitution you can fill 2x + 11 in for the y part of the first equation
This will look like: 2x + 11 = -x^2 -2x + 8

Second step
Now we need to solve for the variable by combining like terms you can start by adding x^2 + 2x -8 to both sides
You get 0 = x^2 +4x +3

Third step
Factor
(X+3)(x+1)=0

If you need the y values you can fill in x= -3 to the second equation y= 2(-3) + 11 and y=5
First point is (-3,5)

The other point is found by filling x=-1 into the second equation: y= 2(-1) +11 and y = 9
Second point is (-1,9)

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3 years ago