Answer:
f(g(x)) = 5(3x + 7)
Step-by-step explanation:
f(x) = 5x + 11g(x) = 3x + 2Solving f(g(x))
f(g(x))f(3x + 2)f(3x + 2) = 5(3x + 2) + 11f(3x + 2) = 15x + 10 + 11f(3x + 2) = 15x + 21f(3x + 2) = 5(3x + 7)f(g(x)) = 5(3x + 7)Answer:
[tex]f(g(x)) = 3(5x + 7)[/tex]
Step-by-step explanation:
Step 1: State the eqautions
[tex]f(x) = 5x + 11[/tex]
[tex]g(x) = 3x + 2[/tex]
Step 2: Insert the equation and solve
[tex]f(g(x)) = 5(g(x)) + 11[/tex]
[tex]f(3x + 2) = 5(3x + 2) + 11[/tex]
[tex]f(3x + 2) = 15x + 10 + 11[/tex]
[tex]f(3x + 2) = 15x + 21[/tex]
[tex]f(g(x)) = 15x + 21[/tex]
Step 3: Simplify completely
[tex]f(g(x)) = 15x + 21[/tex]
[tex]f(g(x)) = 3(5x + 7)[/tex]
Answer: [tex]f(g(x)) = 3(5x + 7)[/tex]
Kimo paid $24 for the shirt which was 75% of the regular price. What was the regular price
answer this pls
pls answer
Answer:
1/12
Step-by-step explanation:
Given
5/14 x 7/30Solving
This can easily be solved by using cross-multiplicationIf we are given a fraction a/b, it can be rewritten as a x 1/b⇒ 5 x 1/14 x 7 x 1/30Now combine (7 and 1/14) and (5 and 1/30)⇒ 7 x 1/14 x 5 x 1/30⇒ 7/14 x 5/30⇒ 1/2 x 1/6⇒ 1/12Answer:
[tex]\dfrac{1}{12}[/tex]
Step-by-step explanation:
Rewrite the denominators as products of factors, then cancel the common factors.
[tex]\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}[/tex]
SOMEBODY PLEASE HELP!!
Answer:
c. 8
Step-by-step explanation:
Length of an arc
l = 2πr x θ/360°Given
r = 4θ = 120°Solving
2 x 3.14 x 4 x 120/3603.14 x 8 x 1/325.12/38.37 ≅ 8Please could you help me with this. 132 people took a driving test. 80 people predicted they would pass. 64 people
didn't pass. Of these 64 people, 3 times as many people predicted they would pass
as predicated fail. Draw a frequency free to represent this information and use it to
find the probability that a person who predicted they would fail actually did.
Solve for the value of x:-
[tex]4x-5 = 3[/tex]
[tex]4x-5 = 3[/tex]
[tex]4x = 8[/tex]
[tex]x = 8÷4[/tex]
[tex]x = 2[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \large \textbf{Let's evaluate~} [/tex]
[tex] \textsf{4x - 5 = 3} [/tex][tex] \textsf{4x = 5 + 3} [/tex][tex] \textsf{4x = 8} [/tex][tex] \textsf{x = 8 ÷ 4} [/tex][tex] \textsf{x = 2} [/tex]find the area of the regular pentagon
Answer:
[tex]A = 43.1\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area
[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2[/tex]
[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*(5\ cm)^2[/tex]
[tex]A = \frac{1}{4}*6.8819*25\ cm^2[/tex]
[tex]A = 43.1\ cm^2[/tex]
Answer: [tex]A = 43.1\ cm^2[/tex]
1st q pls help i dont under stand how the answer is 12000
Answer:
See below
Step-by-step explanation:
1/3 (300000) = 100 000 80% of this = 80 000
2/5 (300000) = 120000 125% of this = 150 000 total so far = 230 000
Overall 10% profit would yield 300000(1.1) = 330 000
the remaining land needs to sell for
330 000 - 230000 = 100 000
Please help me with the answers and I’ll just graph them
Answer:
Step-by-step explanation:
The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's ______.
Answer:
measurement precision
Step-by-step explanation:
The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's precision.
Renee is buying Halloween candy. She wants to buy candy bars and lollipops and spend no more than $28. Each candy bar costs $0.45 and each lollipop costs $0.25. Which inequality represents the possible combinations of x, the number of candy bars, and y, the number of lollipops Renee can buy?
The inequality that represents the possible combinations of candy bars and lollipops that he can buy is given by:
[tex]0.45x + 0.25y \leq 28[/tex]
What is the inequality that models this situation?The total price can be no more than $28, hence:
[tex]T \leq 28[/tex]
Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:
T = 0.45x + 0.25y.
Hence, the inequality that models the situation is:
[tex]0.45x + 0.25y \leq 28[/tex]
More can be learned about inequalities at brainly.com/question/25235995
i need help 9th grade math
Answer:
10
Step-by-step explanation:
Lower quartile (Q₁) = 25
Upper quartile (Q₃) = 35
Interquartile range (IQR) = Q₃ - Q₁ = 35 - 25 = 10
(see attachment)
Will give 50 points!!! ASAP!!!!!!!!!!!
You have a coin and a bag of marbles. The bag of marbles has 5 marbles of each color: Red, yellow, blue and green. What is the probability of flipping a head and then selecting a blue marble?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;
5 x 4 = 20
If a color is selected at random the probability would be
[tex]\frac{part}{whole}[/tex]
our part is 5
our whole is 20
so the probability would be;
[tex]\frac{5}{20}[/tex] or [tex]\frac{1}{4}[/tex] when reduced
Hope this helps!
Answer
1/4
Step-by-step explanation:
I dont know im just guessing sorry
I might not be correct.
Please help me!
thanks
What values satisfy the equation?
3n² = 147
Answer:
n=7
[tex]3 {n}^{2} = 147 \\ {n}^{2} = \frac{147}{3} \\ \sqrt{ {n}^{2} } = \sqrt{49} \\ n = 7[/tex]
Several points appear on the number line, which shows numbers from 0 through 1. On the number line, point M represents 0.25. What fraction does point M also represent on the number line?
Select one:
1/3
1/25
1/5
1/4
Step-by-step explanation:
what happens, when we actually calculate the given fractions ?
after all, a fraction is always a division.
so,
1/3 = 0.3333333333...
1/25 = 0.04
1/5 = 0.2
1/4 = 0.25
aha !
1/4 is the correct answer.
20 people can weave a 90m2 carpet in 6 days
If 13 people work for 4 days and 8 people work for 10 days, how much carpet could they weave in total?
anthony scored 8 goals in the second round. this made his total score 39. how many points did he score in the first round
Answer:
He had 31 points in the first round.
Step-by-step explanation:
Answer:
39-8= 31
Step-by-step explanation:
let the first round be x
second round =8
first round + the second round = 39
therefore, x+8=39
collect like terms
x= 39-8= 31.
so the answer is 31
Need this quick! : Transformations, Congruence, and Similarity
Answer:
xz=cb = 45/60 = .75
zy=ab = 30/40 = .75
xy=ac = 37.5/50 = .75
Step-by-step explanation:
all lines when put into ratio format show .75 scale factor big to little triangle side lengths.
Simplify
2/3 - 5/6•8
A) -4
B) -6
C) -22/3
D) -4/3
Answer:
B) -6
Step-by-step explanation:
5/6 x 8 = 5/6 x 8/1 = 40/6 / 2 = 20/3 = 2/3 - 20/3 = -18/3 / 3 = -6
What is the solution of 4+ 5x+66 = x+ 10? O x = -10 Ox=3 O x=-10 or x = 3 O no solution
Hey there!
4 + 5x + 66 = x + 10
70 + 5x = x + 10
5x + 70 = x + 10
SUBTRACT x to BOTH SIDES
5x + 70 - x = x + 10 - x
5x + 70 - 1x = 1x + 10 - 1x
SIMPLIFY IT!
4x + 70 = 10
SUBTRACT 70 to BOTH SIDES
4x + 70 - 70 = 10 - 70
SIMPLIFY IT!
4x = -60
DIVIDE 4 to BOTH SIDES
4x/4 = -60/4
SIMPLIFY IT!
x = -60/4
x = -15
Therefore, your answer is: x = -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
x = -15Step-by-step explanation:
Given :
4 + 5x + 66 = x + 10#1 : Combine like terms on each side.
4 + 5x + 66 = x + 105x + 70 = x + 10#2 : Subtract x from each side.
5x + 70 - x = x + 10 - x4x + 70 = 10#3) Subtract 70 from each side.
4x + 70 - 70 = 10 - 704x = -60#4) Divide 4 from each side.
4x/4 = -60/4x = -15Solution : x = -15
Triangle ABC is given. If cos(A) = , what is sin(B)? A. B. C. D.
Answer:
cosB = cos (π/2-A)
= sinA
=8/9
Step-by-step explanation:
Select all of the statements that are true
Answer:
a and c
Step-by-step explanation:
In Manchester, 3 of the 18 radio stations play country music.
What is the probability that a randomly selected station will play country music?
Write your answer as a fraction or whole number.
P(country) =
Answer:
There is a one in six chance that a randomly selected radio plays country music.
Step-by-step explanation:
There is a 3/18 chance but that can be simplified if you divide both sides by 3 to get 1/6
select the correct answer what is the average rate of change of f(x), Who represented by the graph over the interval [0,2]?
A.2
B.1
C.0.5
D.-0.5
Please help!!
Find the measure of the arc or angle indicated.
A. 60°
B. 90°
C. 30°
Answer: A
Step-by-step explanation:
Calculate the length labeled x
Image above! PLEASE HELP ME WITH THESE 2 QUESTIONS ILL GIVE YOU BRAINLIST ANSWER
Answer:
Top-
11.5 or the square root of 133
Bottom-
15.3 or the square root of 235
Answer:
c) [tex]x=\sqrt{133}[/tex]
d)[tex]x=\sqrt{235}[/tex]
Step-by-step explanation:
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
c) Solve for that side length and then solve for x
[tex]4^2+y^2=10^2\\y=\sqrt{133} \\(\sqrt{84} )^2+7^2=x^2\\x=\sqrt{133}[/tex]
d) Solve for that side length and then solve for x
[tex]5^2+y^2=10^2\\y=\sqrt{(16^2-5^2)} \\(\sqrt{231} )^2+7^2=x^2\\x=\sqrt{235}[/tex]
-7x^2=63
Solve using the square root method
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=3i, -3i
!!20 points and Brainliest!!!! Make sure to explain!!!
Which of the following would best be solved using completing the square?
A) 2x^3 - 12x^2 + 5x - 30 = 0
B)5x^2 + 7x = 12
C) x^2 = 81
D) x^2 + 4x - 21 = 0
Answer:
D) x^2 + 4x - 21 = 0
Step-by-step explanation:
5th grade math! Can someone help me out? Offering 20 points for both of these!
Answer:
[tex]8\frac{2}{6}\\\\2\frac{1}{5}[/tex]
Fractions are sometimes the same as dividing, for this case, that rule applies.
[tex]\frac{50}{6}\\\\\frac{11}{5}[/tex]
↑ These improper fractions translate to...
[tex]\frac{50}{6} = 8\frac{1}{3} -- > 8\frac{2}{6} \\\\ \frac{11}{5} = 2\frac{1}{5}[/tex]
Answer:
1) D. 8 2/6 hotdogs
2) B. 2 1/5 cakes
Step-by-step explanation:
1) If she's dividing 50 hotdogs equally among 6 people, then you would divide 50 by 6 to find how many each person gets.
note: 50 ÷ 6 is the same as [tex]\frac{50}{6}[/tex].
[tex]\frac{50}{6}[/tex] = [tex]8\frac{2}{6}[/tex]
6 can go into fifty 8 times, so there is a whole number of 8. There is 2/6 left over, so the final result is [tex]8\frac{2}{6}[/tex].
2) If Sako makes 11 cakes and wants to share it equally among 5 people, we can divide 11 by 5 to find how many each person gets.
[tex]\frac{11}{5} =2\frac{1}{5}[/tex]
5 can go into eleven 2 times, so there is a whole number of 2. There is 1/5 leftover, so the final result is [tex]2\frac{1}{5}[/tex].
Hence, the answers are D, and B.
hope this helps!
factor using the greatest common factor (GCF)
4x² + 14
Answer:
2(2x^2 + 7)
Step-by-step explanation:
The GCF is 2.
2(2x^2 + 7)