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2 years ago

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A right triangle and some of his measurements are shown in the diagram based on the measurements shown in the diagram what is T

1 answer:

True [87]2 years ago

3 0

I don’t really know this exact method

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The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

8 0

2 years ago

What happens to a number when you multiply by 1000? Why does this happen?

Elis [28]

Answer:

the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number

Step-by-step explanation:

let's say x=5,

if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).

8 0

2 years ago

Find the product and write ot in the lowest terms. 6 over 7 × 9 over 4

Nikitich [7]

Answer:

27/14

Step-by-step explanation:

you can cross multiply and simplify before you start. that way it makes it a lot easier

7 0

3 years ago

The length of a concrete slab is three more than three times the width. It's area is 330 square feet. What is the length of the

marin [14]

Answer:

Width: 10.5 feet

Length: 31.5 feet

Step-by-step explanation:

Let x represent width of the concrete slab.

We have been given that the length of a concrete slab is three more than three times the width. So length of the slab would be $3x$ .

We are also told that the area of slab is 330 square feet. We can represent this information in an equation as:

$x\cdot 3x=330$

$3x^2=330$

$x^2=\frac{330}{3}$

$x^2=110$

Now, we will take square root of both sides.

$\sqrt{x^2}=\sqrt{110}$

$x=10.488\approx 10.5$

Therefore, the width of slab is approximately 10.5 feet.

The length of the slab would be $3x\Rightarrow3(10.5)=31.5$ .

Therefore, the length of slab is approximately 31.5 feet.

6 0

3 years ago

Read 2 more answers

Pls need help fast ._.

yuradex [85]

Answer:

65.75% change

Step-by-step explanation:

Equation for percent change

(|x2-x1| / x1) * 100%

48 million / 73 million * 100% = 65.75% decrease

4 0

2 years ago

Read 2 more answers