If f(x)=x*−81 and g(x)=(x−9)−1(x+9), find g(x)×f(x).

Answers

Answer 1

Answer: f(x) = x²-81

g(x) = (x-9) -1(x+9)

= (x-9) -x-9

g(x) • f(x)

= [x²-81 ] • [ (x-9) -x-9 ]

=[ x²-81 ] • [ (x-x -9-9) ]
= [ x²-81 ] •[0-18]
= [ x²-81] •[ -18]

= -18•x² +-81•-18
= -18x²+1458

Related Questions

Two more than the product of -5 and a number x is 5...what is the number
A certain aquarium holds 20 gallons of water. How many quarts of water does the aquarium hold?
ΔXYZ is translated 4 units up and 3 units left to yield ΔX′Y′Z′. What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?25 units 7 units 5 units 7√ units
58 is 16% of what number?
F(-14) if f(x) = 2x - 3

Which equation represents the line shown on the

Answers

Answer:

Step-by-step explanation:

y-int = -2

so the line should cross (0, -2)

Rise over run is 2/5 so go up 2, over 5 and put your dot etc...

In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?

Answers

Answer:

$d=(7)/(22)* 154=49$

Step-by-step explanation:

Let circumference be C and diameter be d.

In a circle, the circumference and diameter vary directly that is

C = kd

You know that in a second circle the diameter is 14 when the circumference is 44.

C = kd

44 = k x 14

$k=(44)/(14)=(22)/(7)$

Circumference of unknown diameter circle = 154

$154=(22)/(7)d\n\nd=(7)/(22)* 154 = 49$

d=kC
Plug in what we know and solve for k:
14=k(44)
k=14/44

so
d=(14/44)(154)
x=49

The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is −0.9547. What is the correct interpretation of this number?

Answers

Answer:

The correlation coefficient is close to -1. There is a strong negative correlation between the amount of time spent working out and the amount of weight lost.

Step-by-step explanation:

I did it on USATestprep. -0.9547 is close to -1. This indicates a strong negative correlation. When the workout time increases, Jason's weight decreases.

y=-3x+5

5x - 4y= -3

solvining systems of equations by substitution

Answers

$\left\{\begin{array}{ccc}y=-3x+5\n5x-4y=-3\end{array}\right\n\n\nsubstitute\n\n5x-4(-3x+5)=-3\n5x+12x-20=-3\n17x-20=-3\n17x=-3+20\n17x=17\ \ \ \ /:17\nx=1\n\ny=-3\cdot1+5=-3+5=2\n\n \left\{\begin{array}{ccc}x=1\ny=2\end{array}\right$

Melissa bought a cake that cost $75. The sales-tax rate is 10 percent. What is the total amount she paid for the cake?

Answers

Answer:

the total amount she paid for the cake, $82.5

Step-by-step explanation:

As per the statement:

Melissa bought a cake that cost $75.

⇒Cost of cake = $75

It is also given that:

The sales-tax rate is 10 percent.

then

Sale tax she gave on cake = $(10)/(100) * 75 = \$7.5$

We have to find the total amount she paid for the cake.

$\text{Total amount she paid for the cake} = \text{Cost of the cake}+\text{Sale tax}$

Substitute the given values we have;

$\text{Total amount she paid for the cake} = 75+7.5 = \$ 82.5$

therefore, the total amount she paid for the cake, $82.5

Statements:

1# Melissa bought a cake of cost $75.
2# The tax that has to be paid for the product is 10% of the cost of the product, itself.

=================================

Total amount of money = $$75 +( (10)/(100)*75 )$

= $75 + $7.5
= $82.5

Using the following image, if you EG = 59, what are x, EF, and FG.