If f(x) = 5x + 40, what is f(x) when x = –5?

Answers

Answer 1

Answer: 15 would be your answer

Answer 2

Answer: yeah he's correct its 15

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Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is thepoint of B?

Answers

The midpoint of a line segment divides the line segment into equal halves. The point of B is (7,2)

Given that:

$A = (-1,6)$

$M = (3,4)$

Point B is represented as:

$B = (x_2,y_2)$

To calculate the coordinate of B, we use the following midpoint formula:

$M = ((x_1 + x_2)/(2),(y_1 + y_2)/(2))$

So, we have:

$(3,4) = ((-1 + x_2)/(2),(6 + y_2)/(2))$

Multiply through by 2

$2 * (3,4) = (-1 + x_2,6 + y_2)$

$(6,8) = (-1 + x_2,6 + y_2)$

By comparison:

$6 = -1 +x_2$ and

$8 = 6 + y_2$

So, we have:

$6 = -1 +x_2$

$x_2 =6 + 1$

$x_2 =7$

$8 = 6 + y_2$

$y_2 = 8 - 6$

$y_2 = 2$

Hence, the coordinate of B is (7,2)

Answers

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with $f^(-1)(x).$ In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of $f^(-1)$ and the range of f is the domain of $f^(-1)$ .

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. $m^(-1)(x)=-(x)/(7)$ .

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of $m^(-1)(x).$

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.

Hello,

Answer C

y=-7x ==>x=-7y==>y=-x/7 is the inverse of m(x)
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If f(x) = x2 − 2x + 9 and g(x) = 8 − x, what is (f o g)(−4)?

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I hope this helps you

A regular number cube is rolled. what is the probability that a 3 will not be rolled? 1. 1/6 2. 1/2 3. 4/5 4. 5/6

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5/6 because there is 6 numbers on a die and if you roll a dice there is a chance you can get 5 other numbers than 3

Answer:

5/6 is the answer

Step-by-step explanation:

Because I did the test and got it right

Anyone know this?????

Answers

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

Suppose you deposit $5,000 in a savings account that earns 3% annual interest. If you make no other withdrawals or deposits, how many years will it take the account balance to reach at least $6,000? A. 10 years. B. 6 years. C. 7 years. D. 4 years

Answers

You need to use the equation y=p(1+r)^t where p= the principle (initial amount), r= the rate of decay or growth, and t= the time. So y=5,000(1.03)^x is the equation you'd want to use. At 6 years you'd have $5,970.3 and at 7 $6,149.40, so the answer is C.

taking into consideration that the interest is compound (yearly)
the amount of money gather through the years can be calculated by

A = P (1+r)^(t)
6000 = 5000 (1.03)^t

t = ln(6000/5000)/ln(1.03) = 6.16 ≈ 7

c. 7 years

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