Answers
Answer:
[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x-2\\g(x) = -x^2+5x+12[/tex]
To find: [tex][f(x)]^2-g(x)[/tex]
First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function
Squaring the first function
[tex][f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4[/tex]
Now subtracting g(x) from [f(x)]^2
[tex][f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12[/tex]
Combining alike terms
[tex][f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Hence,
Subtracting g(x) from the square of f(x) gives us:
[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Related Questions
Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.
a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?
Answers
Answer:
(17.5 / 120 - 2v) + (15 / v)
Step-by-step explanation:
Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,
chauffeur is paid $15/hour
gas cost = $3.5/gallon.
Gasoline cost per mile :
Cost per gallon = $3.5
Cost per gallon * 1/(m(v))
$3.5 * 1 / (120 - 2v) / 5
$3.5 * 5 / 120 - 2 v
= 17.5 / 120 - 2v
Time = distance / speed
Chauffeur cost = 15 per hour / v
Hence ;
Total cost :
Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Answer would be - (17.5 / 120 - 2v) + (15 / v)
First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 vThen result will be = 17.5 / 120 - 2v
Time = distance / speed Chauffeur cost = 15 per hour / v
Hence ;
The total cost will be : Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
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f(x) = 72-12x what is the domain and range
Answers
Answer:
The domain is x and the range is f(x)
Step-by-step explanation:
Explanation:
Is undefined in other words “do not exist”
in a study of 300 students under 25 years old, 21have not yet learned to drive. What percentage can drive?
Answers
Answer:
93%
Step-by-step explanation:
From the question given above, the following data were obtained:
Total number of student = 300
Number of student that can not drive = 21
Percentage of student that can drive =.?
Next, we shall determine the number of student that can drive. This can be obtained as follow:
Total number of student = 300
Number of student that can not drive = 21
Number of student that can drive =?
Number of student that can drive = (Total number of student) – (Number of student that can not drive)
Number of student that can drive = 300 – 21
Number of student that can drive = 279
Finally, we shall determine the percentage of student that can drive as illustrated below:
Total number of student = 300
Number of student that can drive = 279
Percentage of student that can drive =?
Percentage of student that can drive =
279/300 × 100
= 93%
Thus, 93% of the student can drive.
Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?
Answers
Answer:
1.15 miles
Step-by-step explanation:
Answer:
24/20
Step-by-step explanation:
Changed denominator to 20 since 4 and 5 both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1 1/5/ Hope this helps!
The measure of the angle is 44 times greater than its supplement.
What is the measure of the supplement?
Answers
Answer: The measure of it's supplement is 4°
Step-by-step explanation:
If an angle is 44 times is supplement, then we can represent it by the equation x = 44y where x is the angle and y is it's supplement.
Supplementary angles add up to 180 degrees, meaning that x + y = 180.
x = 44y
x + y = 180
Using both equations substitute the value for x in the first equation, into the second equation and solve for y.
44y + y = 180 Combine like terms on the left side
45y = 180 Divide both sides 45
y = 4
This means the measure of it's supplement is 4 degrees.
Now input 4 into one of the equations for y and solve for x to find the main angle.
x = 44(4)
x = 176
This also means that the angle itself is 176 degrees.
The measure of the supplementary angle is 4°.
It is given that the measure of the angle is 44 times greater than its supplement.
We have to find out the measure of the supplement.
What are supplementary angles ?
Two angles are said to be supplementary angles if the sum of two angles is 180°.
As per the question ;
The measure of the angle is 44 times greater than its supplement.
Let's assume the supplementary angle is x .
So,
The other angle will be 44 × x .
We know that sum of two angles if they are supplementary is 180°.
⇒ x + 44 x = 180 °
⇒ 45 x = 180°
⇒ x = 180 ÷ 45
⇒ x = 4°
And the other angle will be ;
= 44 × 4
= 176°
Thus , the measure of the supplementary angle is 4°.
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why was mom now saying that Augie did not have to go to school
Answers
Answer:
Is there suppose to be a picture?
Step-by-step explanation:
Answer:
Because she liked Augle more than the other child
Step-by-step explanation:
She didn't want him to go to school so that she could spend the day with her favorite child
How many elements are in this equation:Mg2N3?
Answers
Answer:
there are 2 Magnesium and Nitrogen
Step-by-step explanation:
The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??
Answers
Answer:
22 is 10 of 220
Step-by-step explanation:
hope it help
FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answers
Answer: I think its C
Step-by-step explanation:
What is the slope and the y- intercept of the line on the graph
Answers
Answer:
its c for sure, its obvious
If you can answer this it would help me out so much!
A certain quadratic function has the factors (x + 3) and (2x - 1). What are the solutions of the function?
A- (0,3) and (0, -1)
B- (-1,0) and (3,0)
C- (6,0) and (-3,0)
D- (0,1/2) and (0, -3)
Answers
2x - 1 = 0
It would be D.
Answer:
Thx for my points back that you stole
Step-by-step explanation:
The hypotenuse is always the __________ side of a right triangle.
Answers
Answer:
the answer is opposite
whats the y-intercept of y= 1/3 x-1y
Answers
Answer:
(0, 0)
Reasoning:
Y-intercept means set x to 0 and solve, therefore;
[tex]y=1/3(0) -1y[/tex]
[tex]y=0-1y[/tex]
[tex]2y=0[/tex]
[tex]y=0/2=0[/tex]
Thus, the y-intercept is (0,0)
I hope this helps you and good luck!
Help me please. Thanks
Answers
Answer:
ç sir kasi multiplication gamitinnnyan
Answer:
A
Step-by-step explanation:
Find the area of the square
Area = s^2
s = 8
Area = 64 square feet.
Find the area of 1 circle.
r = d / 2
r = 4 / 2
r = 2
Area of 1 circle = pi r^2
Area of 1 circle = 3.14 * 2^2
Area of 1 circle = 12.56
Area of 4 circles
Area of 4 circles = 4 * 12.56
Area of 4 circles = 50.24
Area of unshaded area
Area of unshaded area = area square - area 4 circles.
Area of unshaded area = 64 - 50.24
Area of unshaded area = 13.76
y= p2 + qr write p in terms of y, q and r
Answers
Step-by-step explanation:
y=p²+qr
y-qr=p²
p=√y-qr
now, is it fine..
What is the measure of angle G? Type only the number:
Answers
Answer: 48
Step-by-step explanation:
total of all the degrees of the angles of the triangle is ALWAYS 180
let the measure of angle G be x
180 = 102+30+x
180 = 132+x
x = 48
What partial products can be used to find the product 3x219
Answers
Answer:
You can do (3x200)+(3x10)+(3x9) Hope it helps!
The product is 657 if you need it!
Step-by-step explanation:
Michael buys pants from a clothing company for $70 dollars. He then sells each pair of pants in his clothing shop at a 40% markup. How much is the markup on the pants?
Answers
Answer:
$98
Step-by-step explanation:
70 is the original price, but the mark up is 40%. So, 40% of 70 is 28
$70 + $28 = $98
8y-2x=-72 in slope form
Answers
Answer:
y=1/4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b.
8y-2x=-72
Add 2x to both sides
8y=2x-72
Divide both sides by 8.
y=1/4x-9
HTH :)
84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.
Answers
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side
Y = 84
An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about 6,000 apples. Do you agree? Explain.
Answer: No. Since 13×400=5,200, 13 apple trees can grow about 5,200 apples. Jake's estimate of 6,000 is much higher than 5,200.
Answers
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
If Paul’s savings are 25% more than Janet’s savings,
What percentage of Paul
savings are Janet’s savings
(A) 25 %
(B). 50%
(C) 75%
(D) 80%
Answers
On a street , there are 25 houses, of which 12 have a cat and 4 have both a cat and a dog. If a house has a cat, what is the probability that there is also a dog living there?
Answers
Answer:
50 percent
Step-by-step explanation:
29.9.2+ n+ 8.4 = 20.8
Please help
Answers
Answer:
n=6.42
Step-by-step explanation:
Following the steps for this equation.
Answer:
29.9.2+
Step-by-step explanation:
That should be right
A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account
Answers
Answer:
1500+40N=A
Step-by-step explanation:
40 per month (N) plus the initial amount = $ in account (A)
helllppp meee please
Answers
Answer:
2, 3, 6, 7
Step-by-step explanation:
Solve for e
7 = 15 - 2e
e equals....
Answers
Answer:
e=4
Step-by-step explanation:
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4013 of supporting the claim that 6 hours of sloep when the actual population
mean is 4.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value
Interpret this value of the powers
Answers
Answer:
b
Step-by-step explanation:
What is the solution for y=2x+3, y=2x-3
Answers
Answer:.
Step-by-step explanation:
I need help again please help me with this question
Answers
Answer:
The size of a sundae and the amount of calories it contains.
Step-by-step explanation:
The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.
When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all