Answer: 12x^3 + 19x^2 -27x -40
Step-by-step explanation:
Finding f(x) times g(x) is multiply the two polynomials
(4x+5)(3x^2 + 1x -8) Apply the distributive property twice to solve
4x ( 3x^2 + 1x -8)
12x^3 + 4x^2 - 32x
5(3x^2 + 1x -8)
15x^2 + 5x - 40
12x^3 + 4x^2 - 32x + 15x^2 + 5x -40 now combine like terms
12x^3 + 19x^2 -27x -40
The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 3x² + x - 8 and g(x) = 4x + 5
The function g(f(x)) is written as,
g(f(x)) = 4(3x² + x - 8) + 5
Simplify the function, then we have
g(f(x)) = 4(3x² + x - 8) + 5
g(f(x)) = 12x² + 4x - 32 + 5
g(f(x)) = 12x² + 4x - 27
The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.
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Why is the equation y = 5x - 10 not proportional?
Answer:
x=2
Step-by-step explanation:
to find x- intercept substitute y=0
move variable to the left hand side and change its sign -5x=-10
then divide both sides of the equation by -5
and the final answer is x=2
hope this helps!
what is the answer to this equation 5r+2<17
Answer:
r < 3
Step-by-step explanation:
Step 1: Write out inequality
5r + 2 < 17
Step 2: Subtract 2 on both sides
5r + 2 - 2 < 17 - 2
5r < 15
Step 3: Divide both sides by 5
5r/5 < 15/5
r < 3
In this case, r has to be smaller than 3. So anything like -2, -15, or even -12413573875942 works as r, as long as it's smaller than 3.
Luke drove 260 miles in 4 hours. If he continued at the same rate how far would he travel in 18 hours?
Answer:
(260/4)*18 = 1,170 miles
Step-by-step explanation:
what is the answer to 7x-35=30+6x
Answer:
x=65
Step-by-step explanation:
you have to get all variables to one side so you would subtract 6 from seven getting one and then add 35 to 30 giving you 65 :)
Answer:
x = 65
Step-by-step explanation:
7x - 35 = 30 + 6x First subtract 6x from both sides
x - 35 = 30 Then add 35 to both sides
x = 65
Solve the proportions. Can you please solve this one problem for me it may not be too hard for you.
Answer: its 18, x=18
X +6= 10 what does x =
Answer:
x = 4
Step-by-step explanation:
[tex]x + 6 = 10 \\ x = 10 - 6 \\ x = 4[/tex]
Simplify the expression. Show your work. 9-7(-3x-4)+8(5-5x) Thanks!
Step-by-step explanation:
(-3x-4) is -12. -12
(5-5x) is x. x
9-7 is 2. 2
+8. +8
-2+x
9+24x+4+ 40-40x
53-16x
You were wrong the answer was -6, -2,2,6
Answer:
ummm
Step-by-step explanation:
set up and solve an equation for each problem below.
Answer:
Step-by-step explanation:
123+4 =127
evaluate
x
— + 6(x-12) when x=12
4
Answer:
3
Step-by-step explanation:
x=12
12/4 + 6(12-12)
12/4 +6(0)
12/4 + 0
3+0
3
Match each table showing a proportional relationship between x and y with its constant of proportionality.
Answer:
Step-by-step explanation:
Just divide y by x and what ever you get is the answer
Hope this helps!
Answer:
The first one (1-4, 2-8, 3-12) belongs to 4
The second one (2-4, 4-8, 6-12) belongs to 2
The third one (4-6, 8-12, 12-18) belongs to 3/2
The last one (1-6, 2-12, 3-18) belongs to 6
Step-by-step explanation:
I divided the y numbers from the x
Simplify the following: [tex]\frac{-1(-8x - 16)}{-2 -x} = \frac{-1(-16-8x)}{-2 -x}[/tex]
Solve for x. Image is below.
Answer:
44
Step-by-step explanation:
180-48/3 to find the value of x
y+6x=11; x = -2,0, 4
Solve the equation for y.
Answer:
23, 11, -13
Step-by-step explanation:
y+6(-2)=11
y-12=11
y=23
y+6(0)=11
y+0=11
y=11
y+6(4)=11
y+24=11
y=-13
Find the value of x and y (3y+5) (2x+1) 85
A x= 42 y=26.3
B x=47 y=30
C x= 42 y=30
D x=47 y= 26.3
Answer:
Step-by-step explanation:
I think the answer C x=42 y=30, correct me if i'm wrong
3 + 5x = 3x - 9 =? help, please
Answer:
it looks like you are trying to find x in this problem so x= -6
Answer:
Step-by-step explanation:
3 + 5x = 3x -9
-3 -3x -3x -3
2x = -12
2x/2 -12/2
X= -6
(2x-7)^2=64 solve for x
A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; Their cost for manufacturing, royalties, and distribution are $5.50 per CD. They sell the CDs to Mage-Mart for $7.20 each
Answer:
Instructions are below.
Step-by-step explanation:
Giving the following information:
Fixed costs= 4,000 + 10,000= $14,000
Unitary variable cost= $5.5
Selling price= $7.2
To calculate the number of units to be sold to break-even, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 14,000 / (7.2 - 5.5)
Break-even point in units= 8,235 units
In dollars:
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 14,000 / (1.7/7.2)
Break-even point (dollars)= $59,294
Now, imagine the company requires a profit of $50,000:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= 64,000/1.7
Break-even point in units= 37,647 units
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Break-even point (dollars)= 64,000 / (1.7/7.2)
Break-even point (dollars)= $271,059
1=x+15 so I’m stuck on this
Answer:
-14
Step-by-step explanation:
When the Better Builder Company completed a small construction job, they found that the following expenses had been incurred: labor, $672.25; gravel, $86.77; sand, $39.41; cement, $180.96; and bricks, $204.35. What total bill should they give the customer if they want to make a profit of $225 on the job?
Answer: 1372.33
Step-by-step explanation: add it all up
Addition can be defined as the process of adding two numbers. The total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
To make a profit the Better builder company needs to add all the expenses and the profit they need to make. Therefore, the sum can be written as,
Total Bil = $672.25 + $86.77 + $39.41 + $180.96 + $204.35 + $225
= $1408.74
Hence, the total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.
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Help please and thank you. ❤️
Answer:
-3(x + 6)(x + 2)
Step-by-step explanation:
FACTOR
-3(x² + 8x + 12) FIND TWO #'S THAT ADD TO 8 AND MULTIPLIES TO 12
-3(x + 6)(x + 2)
Aaron’s age is three years less than Devon‘s age the sum of their ages is 31 find each of their ages
Aaron 14 years
Devon 17 years
Step-by-step explanation:D = A + 3
D + A = 31
replace D
A + 3 + A = 31
2A = 31 - 3
2A = 28
A = 14 years
D = 17 years
During a trip Sara knits a scarf at the rate of 469 millimetre everyday if her trip lasts 8 days how much of the scar will she have knitted by the end of the trip
Answer:
3752mm or 3752 millimeter
Step-by-step explanation:
We are told in the question that Sara knits 469 mm everyday.
Hence, this can be expressed as:
1 day, she knits = 469 mm
8 days =
Cross Multiply
469mm × 8
= 3752mm
Therefore the amount of scarft she would have knitted after 8 days = 3752mm
the equation of a and 8 number
Answer:
8
Step-by-step explanation:
This is because the expression is already in decimal form
The cable is 10 feet above the roadway at horizontal distances of about from the left support.
Answer:21ft and 79ft
Step-by-step explanation:
Answer:
21 and 79 ft
Step-by-step explanation:
1) Which equations are from the 2nd degree? *
Answer:
Step-by-step explanation:
A 2nd-degree polynomial is one whose highest degree'd term is a 2. a has an x-squared as its highest power, so it is a second degree; b also has an x-squared as its highest power, so it is a second degree; e, the same; f, the samel; g, the same.
2(n+2)=4n+1-2n
Whats the answer
Answer:
no solution
Step-by-step explanation:
Given
2(n + 2) = 4n + 1 - 2n ← distribute parenthesis on left side
2n + 4 = 2n + 1 ( subtract 4 from both sides )
2n = 2n - 3 ( subtract 2n from both sides )
0 = - 3 ← not possible
This indicates the equation has no solution
The original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.
To solve the equation 2(n + 2) = 4n + 1 - 2n, we can simplify and then solve for the variable n.
First, distribute 2 to the terms inside the parentheses:
2n + 4 = 4n + 1 - 2n
Next, combine like terms on the right side:
2n + 4 = 2n + 1
Now, subtract 2n from both sides to isolate the n term:
2n - 2n + 4 = 2n - 2n + 1
4 = 1
Since 4 is not equal to 1, there is no solution to this equation.
Therefore, the original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.
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Simplify
45
125
Solve this
Answer:
9/25
Step-by-step explanation:
I guess you mean 45/125
they are divisible by 5
45/5 = 9
125/5 =25
9/25
i’ve gotten 4 different answers for this so if someone can help me that would be amazing
Simplifying the top:
(2* a^3 * b^5)^2 * (6ab)
4* a^6 *b^10 * (6ab)
24 *a^7 * b^11
so we have
(24 *a^7 * b^11) / (-3* a^5 *b)
immediately we can simplify 24 and -3
(-8 *a^7 * b^11) / ( a^5 *b)
a^7 and a^5 can cancel into just a^2
(-8 *a^2 * b^11) / (b)
b^11 and b cancels to b^10
-8 *a^2 * b^10
so that is your answer:
-8[tex]a^{2}[/tex][tex]b^{10}[/tex]
Jim and Lynn were asked to find the coordinates of the midpoint of the segment whose endpoints are R (−15, −8) and S (−5, −2). Jim used point S as ( x 1 , y 1 ). Lynn said he had to use point R as ( x1 , y 1 ). Who is correct? Explain.
Answer:
Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result.
Step-by-step explanation:
We must remember that location of midpoint of any line segment can be determined by using this formula in function of the endpoint locations:
[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right)[/tex]
Where:
[tex]x_{M}[/tex], [tex]y_{M}[/tex] - Location of midpoint, dimensionless.
[tex]x_{R}[/tex], [tex]y_{R}[/tex] - Location of endpoint R, dimensionless.
[tex]x_{S}[/tex], [tex]y_{S}[/tex] - Location of endpoint S, dimensionless.
Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result. That is:
[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right) = \left(\frac{x_{S}+x_{R}}{2}, \frac{y_{S}+y_{R}}{2} \right)[/tex]