11. If f(x)=4x-9, what is the equation for f^-1(x)?

Answers

Answer 1

Answer: f(x) = 4x - 9

let f(x) = y, this implies that x = f⁻¹(y)

y = 4x - 9 Let us solve for x.

4x - 9 = y

4x = y + 9

x = (y + 9)/4

Recall that x = f⁻¹(y),

x = (y + 9)/4

f⁻¹(y) = (y + 9)/4

That means that for f⁻¹(x)

f⁻¹(x) = (x + 9)/4

Hope this explains it.

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A real estate agent earned commission of $8,785 for selling a house. If his rate is 7%, find the selling price of the house.

Answers

Answer:

$125,500

Step-by-step explanation:

Make "x" equal the selling price of the house

7% of x is the commission --->

.07 * x = 8785

x= 8785/ .07

x= 125500

Suppose 70% of kids who visit a doctor have a fever, and 45% of kids with a fever have sore throats. What's the probability that a kid who goes to the doctor has a fever and a sore throat?I am stuck on this question, sadly I just did a lot of these for my exams but I forget how to solve it. Someone help??

Answers

To find the probability that a kid has both a fever and a sore throat, multiply the two probabilities together: 70% * 45% = 31.5%

70/100 = 0.7%
45/100 = 0.45%
0.7 x 0.45 = 0.31
0.31= 31%
31% is your answer sir

How do I make these points (3,-5)(-5,3) into a point slope form equation that contains the given points

Answers

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\n\ny=ax+b\n\nTo\ find\ a\ and\ b\ substitude\ points\ (3,-5),\ (-5,3)\ into\ equation\n\n \left \{ {{-5=3a+b}\ \ \ \ \atop {3=-5a+b\ |*-1}} \right.\n\n \left \{ {{-5=3a+b} \atop {-3=5a-b}} \right. \n+----\n\n-8=8a\ \ \ |:8\na=-1\n\n-5=3\cdot(-1)+b\n-5=-3+b\n-5+3=b\nb=-2\n\ny=-x-2$

Steps:
1. First you have to find the slope
3+5= 8 -5-3=-8 Your slope is -1
2. You plug in one of the points into the point slope form
Y1-Y2=m(x-x1)
Y-3=-1(x+5)
Y-3=-1x+-5
3. Then, you add three to each side
Y=-1x+ (-2)

What is negative 6 =

Answers

Answer:

-6

Step-by-step explanation:

What is .73 repeating as a fraction

Answers

Answer:

The decimal 0.73 repeating is equal to 73/99

Step-by-step explanation:

This is because the repeating 3 is in the hundredths place, so we put it over 99

How many sides does a hexagon have?
A. 5
B. 6
C. 7
D. 8

Answers

A pentagon has 5 sides.
A hexagon has 6 sides.
A heptagon has 7 sides.
An octagon has 8 sides.

A hexagon has 6 sides.

Your final answer is B. 6.

An Hexagon Has Six Sides. So B.

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