Factor 3h² + 11h + 6.

Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.

Slav-nsk [51]

Answer:

Step-by-step explanation:

Given g(x)=5x-4 and g(x)=f^{-1}(x)-3

Substituting g(x) = 5x-4 into the second equation we have;

5x-4 = f^{-1}(x)-3

f^{-1}(x) = 5x-4+3

f^{-1}(x) = 5x-1

To get f(x), let us first make y to be equal f^{-1}(x)

y = 5x-1

expressing x in terms of y to get f(x), we have;

5x = y+1

x = y/5+1/5

replacing y with x, we will have;

y = x/5 + 1/5

F(x) = x/5 + 1/5

Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5

5a + 5b = 5(1/5)+ 5(1/5)

5a+5b = 1+1

5a+5b = 2

8 0

2 years ago

A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales tota

ss7ja [257]

Linear equation is the equation in which the highest power of the unknown variable is one.

The given equation the constant 2000 represents the base salary or the fixed salary of the salesman.

To find that what does 2000 represent in the given linear equation we need to know about the linear equation.

<h3>What is linear equation?</h3>

Linear equation is the equation in which the highest power of the unknown variable is one.

Given information-

Total sales by salesman each month is $s$ dollars.

The total money made by the salesman each month by selling goods of $s$ dollars given by,

$S=2000+0.1s$

The above equation given in the problem is the linear equation. In this linear equation the salary of salesman depends on his sales.

The constant amount of $2000 is the fixed amount of the salesman.

The variable $s$ is the variable on which the salary of the salesman depends. Thus due to this variable the salary of the salesman changes.

Hence in the given equation the constant 2000 represents the base salary or the fixed salary of the salesman.

Learn more about the linear equation.

brainly.com/question/14323743

4 0

1 year ago

In a standard set of dominoes, a face of each domino has a line through the center, with 0 to 6 dots on each side of the line. E

beks73 [17]

1/7 of the dominoes will have the same number on both sides

5 0

2 years ago

A house repair costs 5000 for materials and 200 per hour. Write an equation for the cost c as a function of the hours worked, t

Crank

The answer for this would be
C = 5000 + 200t

4 0

2 years ago

6. Sammi spun a spinner with 5 equal parts labeled 1-5. If she spins the spinner 20 times, how many times should she expect to s

Tasya [4]

Answer:

Step-by-step explanation:

There is a 1/5 chance she spins a 1. (1/5 = 20% = 0.2)

She spins 20 times:

20 * 0.2 = 4

So she should expect getting 4 twos.

If there was anything that you didn't understand, just comment your question below this answer!

Have a good day! (●'◡'●)

6 0

2 years ago