Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
Step 2: Find (f · g)(x)
Substitute: (f · g)(x) = (4x + 1)(x² - 5)Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5We know that,
[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]
By substituting values :
[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]
Hence, answer is :
[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]
What is the product?
2x(x-4)
O 2x² - 4
O zx²-8
2x?- 4x
2x² – 8x
1. Marcus needs to bike at least 80 miles this
week for his training. If he has already biked 25
miles this week, then how many miles should he
bike on each of the 5 remaining days this week?
Variable:
Inequality:
Solution:
Please help fast I will give brainliest! :)
He should ride 11 miles on each of the other 5 days. 11 times 5 equals 55 + 25 = 80.
Which expression can be used to find the retail price of an item that was bought at wholesale for $112 and sold at a 40% markup?
Answer:
Your answer is D or $112 + 0.40($112)
Explanation:
I got it right on edge 2021
A collector has 100 movie posters and 80 band posters. She wants to sell 30 movie posters but still have her poster collection maintain the same ratio of 100:80. If she sells 30 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.
Answer: 24 band posters should be sold
Step-by-step explanation:
First take the expression down to its simplest form;
= 5:4
Assume she sells 30 movie posters, her movies posters drop to;
= 100 - 30
= 70 movie posters
We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.
In fraction form, the number of movie posters is;
= 5/9 because 9 would be the total number of both movie posters and band posters.
Create an expression to find the total number of posters if 70 are movie posters;
5/9x = 70
x = 70 ÷ 5/9
x = 126 posters
Number of band posters that should be left are;
= 126 - 70
= 56
Number of band posters that should be sold;
= 80 - 56
= 24 posters
The new ratio would be 70:56.
The Pine Apple Store found that 18% of their weekly customers would purchase a new R-phone before leaving the store. If this was equivalent to 63 customers, how many total people entered the store last week?
Answer:
350 customers
Step-by-step explanation:
Since this is a ratio question and we only have variable that we need to solve (total people that entered last week), Then we can use the Rule of Three to solve this problem. We do this by multiplying the diagonal values of the following model and dividing by the third value in order to find the variable, like so...
18% of customers <====> 63 customers
100% of customers <====> x customers
(100 * 63) / 18 = x
6,300 / 18 = x
350 = x
Finally, we can see that a total of 350 customers entered the store last week.
-5x²y²z + 7xy - x²y²z - 5xy
Answer:
-5x²y²z + 7xy - x²y²z - 5xy
Step-by-step explanation:
What is an advantage of portrait orientation for portrait photography (photos of people)?
The composition shows more context.
The composition places attention on the foreground.
The composition minimizes the background.
All of the above
Answer:
all of the above
Step-by-step explanation:
The point of portrait orientation is to make it so the picture focuses on the person. In order to do this you need to minimize the background, place attention on the foreground, and show more context
Answer:
all of the above
Step-by-step explanation:
A singer and a producer each wrote songs for an upcoming album. The singer wrote 6 fewer than twice the number of songs that the producer wrote. They wrote a total of 54 songs. How many songs did the singer and producer wrote?
Answer:
The producer wrote 20 songs
The Singer wrote 34 songs
Step-by-step explanation:
Let
Number of songs the producer wrote = x
Number of songs the singer wrote = 2x - 6
Total songs written by singer and the producer = 54
54 = x + (2x - 6)
54 = x + 2x - 6
54 + 6 = 3x
60 = 3x
Divide both sides by 3
x = 60/3
= 20
x = 20 songs
Number of songs the producer wrote = x = 20 songs
Number of songs the singer wrote = 2x - 6
= 2(20) - 6
= 40 - 6
= 34 songs
The producer wrote 20 songs
The Singer wrote 34 songs
I WILL GIVE YOU BRAINLY PLSS
2.2x – 3.408 ≥ 29.504
A. x ≤ 12
B. x ≥ 12
C. x ≥ 14.96
D. x ≤ 14.96
PLSS SHOW YOUR WORK PLSS
Answer:
d
Step-by-step explanation:
Which expression below represents "the sum of a number, m and two?" *
5 points
Answer:
Step-by-don't know step explanation:
What is the absolute value of -8? Use the number line to help answer the question.
-16
-8
8
16
Solve for x
Y= x-v/b
Answer:
x=y+v/b
Step-by-step explanation:
So first you have y=x-v/b. You want to isolate x, so subtract x from both sides. You'll get -x+y=-v/b. Next, you're going to want to subtract y to further isolate x now that it's on the left side. Now you'll have -x=-y-v/b. But you don't want x to be negative, so you can divide both sides by -1 to make x positive. Now you'll have x=y+v/b.
what is the slope that passed through the points (-3, -9) and (22, -4)? Write your answer in a simplest form
Answer:
साहस को सलाम पाठ/अरुणिमा सिन्हा कहां बैठी थी
Step-by-step explanation:
I hope you understand
A group of friends were working on a student film. They spent $546 on props,
which was 39% of their total budget. What was the total budget for their
student film?
Answer:
Spent=$546
Budget=100%
=39/100*546
You want to buy some noodles. A 9-ounce package costs $3.24. A 12-ounce package costs $4.20. A 20-ounce package costs $7.60. Which package is the best buy?
Answer:
9oz
Step-by-step explanation:
It's still a good amount and cheaper than the rest.
I 3) A store is holding a promotion. Every fourth customer receives a free key chain and every sixth customer receives a free magnet. Which customer will be the first to receive both a key chain and a magnet?
Answer:
The 12th Customer
Step-by-step explanation:
The LCM of 4 and 6 is 12, as 4x3=12 and 6x2=12
A like with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below. The slope is:
Answer:
The first line (blue) has a slope of 2/3x The slope of the second line is decreasing and hence has a slope of -3xRate positively and give brainlist3.6 - 2 - 3 = 4x - 8
please helppp
Answer:
x=1.65
Step-by-step explanation:
First switch sides
4x-8=3.6-2-3
Then subtract 3.6 - 2 - 3
4x-8=-1.4
Add 8 to both sides
4x-8+8=-1.4+8
simplify
4x=6.6
Divide both sides by 4
4x/4 - 6.6/4
The simplify again
x=1.65
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
Answer:
2.5%
Step-by-step explanation:
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
The formula for Rate of Interest in a simple interest is given as:
r = (1/t)(A/P - 1)
Where
t = time in years = 3 years
P = Principal = Initial amount invested = Ghc 500,000.00
A = Amount after t years =
Principal + Simple Interest
= Ghc 500,000.00 + Ghc 37,500.00
= Ghc 537,500.00
Hence:
The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)
= r = 0.025
Converting r decimal to R a percentage
R = 0.025 × 100 = 2.5%/year
Therefore, the rate of interest per annum is 2.5%
1+1=???? PLEASE HELP ILL MARK BRAINLIEST
Answer:
The answer to your extremely difficult question is 2.
Step-by-step explanation:
I hope this helps!!!! Please Mark me Brainliest!!!
Answer:
UMMMMM THIS IS HARD WAIT THIS TAKES ALOT OF THINKING
ITS 11
Step-by-step explanation:
U putt 2 ones together to get 11
big brain
Derrick is able to type 90 words in 18 minutes. How many words is he able to type in 9 minutes
Answer:
45 words in 9 minutes
Step-by-step explanation:
90/18= 5 words per minutes
5*9= 45
In a survey, 27% of the people chose salads over a meat dish. In all, 81 people chose salads. How many people were in the survey?
Answer:
300
Step-by-step explanation:
Let x be the number of people in the survey
81/x = 27%
81/x = 0.27
x = 81/0.27
x = 300
Please give the correct value of c.
Answer:
Step-by-step explanation:
C equals x^2 plus 8x
Heres a graph of a linear function. Write the equation that describes that function.
Answer:
Y=[tex]\frac{1}{3}[/tex]X-4
Step-by-step explanation:
Using the slope-intercept equation, a line is given as y=mx+b, where m represents the slope and b represents the y-intercept. From this graph, we can see that the slope is 1/3 and this line meets the y-axis at -4.
Thus, using that information, we substitute this into the equation to get
y= (1/3)x - 4
Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or 3. He rolls the number cube one time
Answer:
B. 1/3
Step-by-step explanation:
The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...
2 / 6 = x
If we simplify it would give us [tex]\frac{1}{3}[/tex]
Giving Brainliest/Correct Answer/MATH
please help me with this
What is the inverse of the function f(x) = 4x + 8?
What is the difference of the fractions? Use the number line to help find the answer.
LE
13
54
|
1
16
18
120
14
120
to
다.
-
0
11
10
10
20 20
20 20 2020
x
20
0
Answer:
Option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
Determining the difference of the fractions
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.
[tex]\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{4-15}{20}[/tex]
Add the number: 4-15 = -11
[tex]=\frac{-11}{20}[/tex]
Apply the fraction rule: [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{11}{20}[/tex]
Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.
Therefore, option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15
Answer:
16 17
Step-by-step explanation: