All categories

3 years ago

Geometry help please! Match the reasons with the statements.

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

6 0

Answer:

you need to put the reasons and statements

You might be interested in

Pilar and Tom race home from the park. The graph shows how far each person is from home after a given amount of time.

ankoles [38]

Answer:

> - greater than

(ive done the test)

hope it helps :)

3 0

3 years ago

F(x) = x2 + 10<br> What is the average rate of chan<br> hange of f over the interval [-2, -1]?

Readme [11.4K]

The average rate of change is given by [f(b) - f(a)]/(b - a), where a and b represent the interval [a, b].

Let a = -2

Let b = -1

[(-1)^2 + 10 - ((-2)^2 + 10)]/(-1 -(-2))

[1 + 10 - (4 + 10)]/(-1 + 2)

[1 + 10 -4 -10]/(1)

[1 - 4]/(1)

-3/1

Answer: -3

5 0

3 years ago

A consumer organization inspecting new cars found that many had appearance defects. While none had more than 3 defects, 7% had t

AlexFokin [52]

Answer:

E(X) = 0.64

Sd(X) = 0.933

Step-by-step explanation:

3(0.07) + 2(0.11) + 1(0.21)

E(X²) = 3²(0.07) + 2²(0.11) + 1²(0.21)

= 1.28

Var(X) = 1.28 - 0.64² = 0.8704

Sd = 0.933

7 0

3 years ago

What are the two square roots of 9/4?

Citrus2011 [14]

Answer:

3/2

Step-by-step explanation:

3^2=9

2^2=4

5 0

3 years ago

Read 2 more answers

Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago