I’m desperate at this point
Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)
Answer:
g(f(x)) = 8x^3-24x^2+34x-18
Step-by-step explanation:
The composition is ...
[tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]
Help please !!!!!!!!
Answer:
yes
Step-by-step explanation:
yes, they are congruent for the AAS rule ( angle angle side)
4x^2 = 16
The solution to the equation is: ____?
[tex] {4x}^{2} = 16 \\ = > {x}^{2} = \frac{16}{4} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = ± 2 \: \: [/tex]
Answer:
The solution to the equation is: ±2.
Hope you could get an idea from here.
Doubt clarification - use comment section.
please explain why. Thanks
Is (x-2) is a factor of x³-3x²-x +7 –
Yes No ☑Explanation :-We are given –
Polynomial function, P(x) = x³-3x²-x +7In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.Let's find value of x![tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]
Now Put x = 2 into the polynomial –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]
Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of x³-3x²-x +7.________________________________________
Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?
Answer:
$12
Step-by-step explanation:
to find sales tax you multiply the cost by the percentage
you do 150 * 8%
thats also 150 * 0.08
150 * 0.08 is 12
so you pay $12 in tax
Bret paid $12 as sales tax.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.
Assume that he paid $[x] as sales tax. Then, we can write -
[x] = 8% of 150
[x] = (8/100) x 150
[x] = 12
Therefore, Bret paid $12 as sales tax.
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What is the expected value of X?
X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4
6.2
6.05
5.95
5.6
Multiply each X by its corresponding probability P, then add up them up.
E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4
⇒ E[X] = 6.2
PLEASE HELP. Select all the correct answers.
Which sequences of transformations applied to shape I prove that shape I is similar to shape II?
reflection across the x-axis, followed by a reflection across the y-axis, and then a dilation by a scale factor of 0.5
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5
a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5
a translation 2 units down and 5 units left, and then a dilation by a scale factor of 0.5
Answer: 2 4 3
Step-by-step explanation:
The points in the table lie on a line. Find the slope of the line.
13 fasteners cost 78 cents find the cost for purchasing 4, 687 fasteners
First divide 4687 by 13 and then multiply the answer by 0.78. The answer would be:
4687÷13= 360.5384615
360.5 × 0.78 = $281.22
Given the probabilities below, for what P(A) are events A and B independent? P(B)=0.5 P(A and B)=0.25.
A) 0.75
B) 0.5
C) 0.25
D) 0
Rename 3/4 and 9/10 using the least common denominator
Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online
Solve for xx. Leave your answer in simplest radical form.
Answer:
x²
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
: If 10 less than 5 times a number is two more than 3 times the number, then the number is
Answer:
x = 1Step-by-step explanation:
If 10 less than 5 times a number is two more than 3 times the number, then the number is
10 - 5x = 2 + 3x
10 - 2 - 5x - 3x = 0
8 - 8x = 0
x = 1
---------------
check
10 - 5 * 1 = 2 + 3 * 1
5 = 5
the answer is good
Please help me (It's for a really important grade)
Answer:
4/5
Step-by-step explanation:
Sin = Opposite / Hypotenuse
Note that hypotenuse = longest side
We want to find sinФ
The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10
So sinФ would equal 8/10 which can be simplified to 4/5
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm
The graphs below have the same shape. What is the equation of the blue graph?
Answer:
B. G(x)=(x-2)^2 + 1
Step-by-step explanation:
the graph shifts two to the right x^2 turns into (x-2)^2
and the y value shifts from 0 to 1 (+1)
together, we get (x-2)^2 + 1
:)
A square has sides of length 36.5 yards. What is the area?
Answer:
1332.25 yd²
Step-by-step explanation:
To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.
36.5 * 36.5=1332.25
i posted this more then 2 times can someone help
Answer:
yes
Step-by-step explanation:
yes ......................................
lois made a dish with 6 1/3 cups of pasta . One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lous made?
Answer:
33 2/3
Step-by-step explanation:
First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.
So now we have 95/15 and 3/15. From here, we would divide 95 by 3.
95 ÷ 3 = 31 10/15
This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.
9_9_9_9=111
what are the signs?
Answer:
Step-by-step explanation:
im not sure and what do u mean by signs
Answer:
multiplie maybe i dont know what you mean-
Step-by-step explanation:
a film start at 17:15 and finish at 1 hour and 45 minutes later. what time did it finish?
4(3q + 10) = 6( 2q - 9 )
{(2,12), (3,8), (4,6)}
constant:
equation:
Answer:
y = x² - 9x + 26
hope to help!!
The volume of a room is 640 cubic feet. If the length is 10 feet and the width is 4 feet, find the height
Answer:
16
Step-by-step explanation:
Divide 640 by 40.
[tex]640 = x \times 10 \times 4[/tex]
[tex]640 = 40x[/tex]
Divide both sides by 40
[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]
[tex]x = 16[/tex]
Thus the height would be 16 feet .
A sheet of plastic is 0.12 cm thick. The sheet of plastic is folded so that the folded sheet is twice as thick after each fold.
2. How thick will it be after 3 folds?
1. What is the least number of folds you have to make before the folded plastic is thicker than 3.6 cm?
Answer:
1. the plastic will be 0.48 cm thick after 3 folds
Step-by-step explanation:
if you discovered a leaking faucet in your home , do you think it would be important to get it fixed why or why not ??
Answer:
b
Step-by-step explanation:
It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.
It is important to get a leaking faucet fixed because of the following reasons;
1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.
2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.
3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.
4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.
Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.
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PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE
Step-by-step explanation:
Please forgive me if I'm wrong but I would choose A, B, and E.
Find the slope of the line that passes through (84, 7) and (85, -25). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: The slope is -32
Explanation:
Start with the slope formula:
m= (y2 - y1) / (x2 - x1)
Substitute point values in the formula
m = (-25 - 7) / (85 - 84)
Simplify each side of the equation
m= (-25 - 7) / (85 - 84) = -32/1
Solve for slope (m)
m= -32