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Write a linear function f(x) with the values f(3) = -1 and f(6) = 1.

Answers

Answer 1

Answer: The Answers hope this helps

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Find the exact value of tan A in simplest radical form.

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

A, or 50.24 ft.

Step-by-step explanation:

Doing the equation above, we know the radius of the circle, which is 8 ft.

8ft times 2 is 16ft.

16ft times pi gives us (rounded) 50.24 ft.

I am confused on this , I’ve tried twice and got it wrong.

Answers

Answer:

$f^-^1(x)=-x^2+6x-5 \ \text{for the domain}\ [3, \infty)$

Step-by-step explanation:

Consider the function $f(x)=√(4-x)+3$ for the domain $(- \infty, 4]$ .

Find $f^-^1(x)$ , where f^(-1) is the inverse of f.

Also state the domain of f^(-1) in interval notation.

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We can start solving this problem by finding the inverse of f(x). This is done by switching the x- and y- variables, and solving for y.

$y=√(4-x)+3 \rightarrow x=√(4-y)+3$
$x=√(4-y)+3$

We can start solving for y by subtracting 3 from both sides of the equation.

$x-3=√(4-y)$

Get rid of the radical by squaring both sides of the equation.

$(x-3)^2=(√(4-y))^2$
$(x-3)(x-3)=4-y$

Use FOIL to multiply the binomial (x-3) together.

$x^2-3x-3x+9=4-y$

Combine like terms.

$x^2-6x+9=4-y$

Subtract 4 from both sides of the equation.

$x^2-6x+5=-y$

Divide both sides of the equation by -1.

$-x^2+6x-5=y$
$f^-^1(x)=-x^2+6x-5$

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The domain and range of a function are flipped for its inverse, meaning that to find the domain of the inverse function, you can find the range of the original function f(x), and that will be your inverse function's domain.

The range of $f(x)=√(4-x) +3$ is $y \geq 3$ , since the vertical shift of the graph is at k = 3. You can also graph this function on a calculator to see that the graph does indeed start at y = 3.

Now that we know the domain and range of the original function, we know that these are flipped for the inverse function.

Original function:

Domain: $x\leq 4$
Range: $y\geq 3$

Inverse function:

Domain: $x\geq 3$
Range: $y\leq 4$

The final answer is:

The inverse $f^-^1(x)=-x^2+6x-5 \ \text{for the domain}\ [3, \infty)$ .

You can also write the domain as: $x\geq 3$ .

A water tank an hold 234 cubic meters of water. How many gallons can the water tank hold

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The correct answer is 61,776 gallons. If a water tank can hold 234 cubic meters of water, then it definitely can hold up to 61,776 gallons of water. You just simply multiply 234 into 264 (since 1 cubic meter = 234 gallons.) With that, you can get 61,776.

Triangle GHI is similar to triangle JKL. Which statement is true about the two triangles? Select one:
a. Angles G and L are congruent.
b. Angles H and K are proportional.
c. Angles I and L are congruent.
d. Angles K and J are proportional.

Answers

Answer:

C. Angles I and L are congruent

Explanation:

When writing similar statements, the order of the letters is extremely important, this is because, in similar triangles:

1- corresponding angles are congruent (equal)

2- corresponding sides are proportional

Now, we are given that:

ΔGHI is similar to ΔJKL

This means that:

∠G is congruent to ∠J

∠H is congruent to ∠K

∠I is congruent to ∠L

Comparing the above congruent angles with the choices, we can conclude that the correct choice is option C

Hope this helps :)

b because it was congruent

The united states population in 1950 was 151 million. By 1990 it had increased by 65%. What was the 1990 population?

Answers

Answer:

249.15 million

Step-by-step explanation:

151(1.65)=249.15

To calculate the US population in 1990, we increase the 1950 population of 151 million by 65%, resulting in an estimated population of about 249.15 million.

To answer the question, we need to find out how much the United States population increased from 1950 to 1990. We know that the US population in 1950 was 151 million and that it increased by 65% by 1990.

First, we need to calculate the amount that represents the 65% increase from 151 million. We can do this by multiplying 151 million by 65/100. This will give us about 98.15 million.

Then, we add this increase to the initial population in 1950, which gives us the 1990 population. So, if we add 98.15 million to 151 million, we get a 1990 population estimate of approximately 249.15 million.

Learn more about Population Growth here:

brainly.com/question/18415071

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Mike bought an MP3 player for $150. The sales-tax rate was 8 percent. How much sales tax did he pay on the MP3 player?