Answer:
Both are true.
Step-by-step explanation:
If f(x) = 2x³ + 6
To find the inverse of the given function,
Rewrite the function in the form of an equation,
y = 2x³ + 6
Interchange the variables x and y,
x = 2y³ + 6
Solve for y,
2y³ = x - 6
y = [tex]\sqrt[3]{\frac{(x-6)}{2}}[/tex]
Rewrite the equation in the form of a function,
[tex]f^{-1}(x)={\sqrt[3]{\frac{(x-6)}{2}}[/tex]
[tex](fof^{-1})(x)=f[f^{-1}(x)][/tex]
= [tex]2(\sqrt[3]{\frac{(x-6)}{2}})^3+6[/tex]
= (x - 6) + 6
= x
[tex](f^{-1}of)(x)=f^{-1}[{f(x)][/tex]
[tex]={\sqrt[3]{\frac{(2x^3+6-6)}{2}}[/tex]
[tex]={\sqrt[3]{\frac{(2x^3)}{2}}[/tex]
= x
Therefore, both the statements are true.
Emily bought a pack of 5 folders for $15.30. What was the unit price?
Answer:
The unit price is $3.06
Step-by-step explanation:
Unit price is how much I unit of something costs. Therefore in order to find the unit price you just divide the total price by the number of units (in our case 5 folders). And so we get...
$15.30 / 5 = $3.06
Hayhay#5682
add me plz
4 x 6 = 24
I will later
Your answer is 24
May nilbin be with you
Drop it (the answer) like its hotttttttttttt
adopt me try hard, get off this platform
Answer:
A=7 1/3 < 7.663
Step-by-step explanation:
A=7 1/3 <7.663
Need help pls.
B is a boat on a bearing of 60degrees what is the nearing from A to B.
Answer:
Step-by-step explanation:
the bearing of A from B is 065º. ... A boat sails from a
help........................
Answer:
x = 1
Step-by-step explanation:
( 6^2 + 1 ) 6^x = ( 36 + 1 ) x " multiply by " 6^x = 222
so 37 x 6^x = 222
divide by 37
6^x = 6^1
so
x = 1
^ this symbol is for the power
Solve to get points!
10−8(−7y−4)
Answer:
5 6 + 4 2
Step-by-step explanation:
1 0 − 8 ( − 7 - 4 )
1 0 + 5 6 + 3 2
1 0 + 5 6 + 3 2
4 2 + 5 6
4 2 + 5 6
5 6 +42
Which makes the proportion true? AB/?= EF/GH
YOUR ANSWER IS
OPTION C. CD
Answer:
I think CD
Step-by-step explanation:
A can of soup has a diameter of 2.5 inches and a height of 4 inches. What is the area of the label for the can? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Diameter d = 2.5 inches
Height h = 4 inches
Lateral area = πdh =π(2.5)(4) = 10π ≈ 31.4 square inches
x + 5/6 = 2 2/3 CAN YOU GUYS PLS TELL ME WHAT IS X?????
Carl works at a garment factory and sews buttons on shirts. For each shirt he completes that passes inspection, he earns $2. How much does he earn for 54 good shirts? $108 $98 $96 $104
The amount people whopay for cable service varies quite a bit, but the mean
monthly fee is $142 and the standard deviation is $29. The distribution is not
Normal. Many people pay about $76 for basic cable and about $160 for premium
service, but some pay much more. A sample survey is designed to ask a simple
random sample of 1,500 cable service customers how much they pay. Let X be the
mean amount paid.
Part A: What are the mean and standard deviation of the sample distribution of X?
Show your work and justify your reasoning. (4 points)
Part B: What is the shape of the sampling distribution of X? Justify your answer. (2
points)
Part C: What is the probability that the average cable service paid by the sample of
cable service customers will exceed $143? Show your work. (4 points) (10 points)
Answer:
$142 ; 0.749 ; Normal ; 0.090938
Step-by-step explanation:
Mean and standard deviation :
The mean of the distribution x = $142, because the sample size is sufficiently large, the distribution will be approximately normal (central limit theorem).
Standard deviation of distribution : σ/ sqrt(n)
= 29 / sqrt(1500)
= 0.749
B.)
Shape of sampling distribution of X.
The shape of the sampling distribution will be approximately normal due to the large sample size used. This is according to the central limit theorem whereby distribution of sample converges to normal with increasing sample size. Mean ~ N(142, 0.749²)
C.)
P(X > 143)
Using the relation :
Z = (x - mean) / standard error
Z = 143 - 142) / 0.7489
Z = 1.335
P(Z > 1.335) :
Using the Z probability calculator :
P(Z > 1.335) = 0.090938
5.2x+8+2.1x-3 which is an equivalent expression by combining like terms A. 5.2x+8+2.1x-3 B. 5.2x+5+2.1x C 13.2x-0.9x D 7.3x+5
Answer: 7.3x + 5
Step-by-step explanation:
For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.
= 5.2x+8+2.1x-3
= 5.2x + 2.1x + 8 - 3
= 7.3x + 5
Therefore, the correct answer is 7.3x + 5
Help me plsss!!!!!!!!!
Answer:
B
Step-by-step explanation:
the algebraic expression 2x -4 when x=8 is evaluated as
Answer:
12
Step-by-step explanation:
2x-4
Subsitute x for 8 2(8)-4
Simply 16-4
12
The football team had a fundraiser . They received $1588.50 from the sale of 110 shirts and hats . shirts sold for 14.95 each. hats sold for 12.95 each . how many hats did they sell
Answer:
28 hats
Step-by-step explanation:
We can solve this using a system of equations:
14.95s + 12.95h = 1588.50
s + h = 110
Let's isolate the shirt variable in the second equation:
s + h = 110
s = -h + 110
Now that we have isolated s we can plug it back into the first equation:
14.95(-h + 110) + 12.95h = 1588.50
Solve for h
-14.95h + 1644.5 + 12.95h = 1588.50
-2h + 1644.5 = 1588.50
-2h = -56
h = 28
The football team sold a total of 28 hats.
Hope this helps!!
- Kay :)
The number of hats did they sell should be considered as the 28 hats when the received amount is given.
Calculation of the number of hats:Since
The football team had a fundraiser .
They received $1588.50 from the sale of 110 shirts and hats .
shirts sold for 14.95 each. hats sold for 12.95 each .
So, the following equations are applied
14.95s + 12.95h = 1588.50
s + h = 110
We can write like
s = -h + 110
Now
14.95(-h + 110) + 12.95h = 1588.50
-14.95h + 1644.5 + 12.95h = 1588.50
-2h + 1644.5 = 1588.50
-2h = -56
h = 28
Hence, The football team sold a total of 28 hats.
learn more about number here: https://brainly.com/question/13855163
Help me with this slope digital escape
The slope in the first, second, third, and fourth cases will be 2, -3, 5, and 1, respectively. Then the correct options are A, B, F, and H.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The slope in the first case will be given as,
m = (1 + 1) / (1 - 0)
m = 2
The slope in the second case will be given as,
m = (1 - 4) / (2 - 1)
m = - 3
The slope in the third case will be given as,
m = (28 - 18) / (4 - 2)
m = 5
The slope in the fourth case will be given as,
m = (-3 + 4) / (1 - 0)
m = 1
The slope in the first, second, third, and fourth cases will be 2, -3, 5, and 1, respectively. Then the correct options are A, B, F, and H.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ2
3. Ifu={1,2,3,4,5,6,7,8,9, 10}
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
and Z= {2,3,4,7,9)
Whatis XnYnZ?
(WAEC) pls help
Answer:
we conclude that:
X∩Y∩Z = {2, 4, 7, 9}Step-by-step explanation:
Given
u = {1,2,3,4,5,6,7,8,9, 10}
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
Z= {2,3,4,7,9)
To determine
X∩Y∩Z = ?
We know that the intersection of three given sets represents the largest set which consists of all the elements that are common to all the sets.
The intersection of sets is denoted by the symbol '∩'.
Thus,
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
Z= {2,3,4,7,9)
X∩Y∩Z = {2, 4, 7, 9}
Therefore, we conclude that:
X∩Y∩Z = {2, 4, 7, 9}Will mark brainliest and rate 5/5 if question is answered right.
Answer:
a) A = 36π in² ≈ 113.09 in²
b) $0.98 per slice
c) $0.09 per square inch
Step-by-step explanation:
a) area = πr²
r= diameter/2 = 12/2 = 6
A = π(6)²
A = 36π in² ≈ 113.09 in²
b) s = price per slice
s = 9.75 ÷ 10
s = $0.975 ≈ $0.98
c) price per square inch = price ÷ area
= 9.75 ÷ 113.09
= $0.086 ≈ $0.09 per square inch
Write the first 6 terms of the arithmetic sequence whose first term is 8 and has a common difference of 2
Answer: The first 6 terms are = 8, 10, 12,14,16,18
Step-by-step explanation:
The NTH term of an Arithmetic Sequence is given as
an = a1 + (n - 1 ) d
where a1 = First term given as 8 and
d= common difference given as 2
Therefore We have that
the first term
an = a1 + (n - 1 ) d = 8+(1-1) 2
a1= 8
second term=
an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2
= 8+ 2(1) = 10
3rd term
an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2
= 8+ 2(2)= 8 + 4=12
4th term
an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2
= 8+ 2(3)= 8+6=14
5th term
an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2
= 8+ 2(4)=8+ 8=16
6th term
an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2
= 8+ 2(5)=8 +10 =18
Can someone plz help me
Answer:
S is also 13
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The incenter is the point where all of the angle bisectors meet in the triangle
Using that definition, since point S is the incenter, we know segments RS and SQ are congruent.
1. We can use the Pythagorean Theorem to solve for segment RS first.
a^2+b^2=c^2 or MR^2+RS^2=MS^2
12^2+b^2=13^2
144+b^2=169
b^2=169-144
b^2=25
b=5 or RS=5
Since segment RS is congruent to segment SQ, SQ=5
Find the midpoint of the line segment with end coordinates of:
(
4
,
−
8
)
and
(
−
4
,
2
). Help
The coordinates appear kinda wonky on my screen but are these the correct coordinates? (4,-8) and (-4,2)
What you will need is the mid-point formula.
The midpoint formula is:
(x1 + x2)/2, (y1 + y2)/2
x1 = 4, x2 = -4, y1 = -8, y2 = 2
We just need to plug in the known values and solve
(4 + -4)/2, (-8+2)/2
0/2, -6/2
(0,-3)
The answer is (0,-3)
Hope this helps!
please help me on this
Answer:
de que grado eres para ayudar
1. (07.03 MC)
Solve -+
2 2.
5 7
- (4 points)
35
0 24
7
hello. please answer this question, I WILL mark brainliest :)
Answer:
1. D) 0.113
2 C) 11
Step-by-step explanation:
1. #males that chose super strength/total males
[tex]\frac{25}{222}[/tex]= 0.113
2. the relative frequency can be converted to a percent which is 11.3%
given that a percent is out of 100, the expected number would be 11
Four positive whole numbers add up to 39 one of the numbers are a multiple of 7 the other three are equal workout the result when the four numbers are multiplied
Answer:
Number is 4536
Step-by-step explanation:
Assume;
Same number = a
Multiply of 7 = b
So,
a+a+a+b = 39
3a + b = 39
Use b = 7
3a + b = 39
3a + 7 = 39 (Not possible)
Use b = 14
3a + b = 39
3a + 14 = 39 (Not possible)
Use b = 21
3a + b = 39
3a + 21 = 39
a = 6
So,
Number is 6 x 6 x 6 x 21
Number is 4536
If 25 pencils cost $3.00, what is the cost of 15 pencil?
Answer:
125
Step-by-step explanation:
25/3 = 8.333
15×8.333 = 124.99
3 Calculate the missing values
3:5 -> 30 :
Answer:
3:5 = 30:50 because it is ratio 3 x 10 = 30 5 x 10 = 50
Solve for x
-12 = 12x + 36
PLS HELP ME!!!!!!
Answer: It’s -4
Step-by-step explanation:
what is the gfc of 10 and 5
Step-by-step explanation:
i believe the awnser is 5 holp this helps
Given the function below, find f(-5): f(x)= x^2 + 3x - 21
Answer:
Step-by-step explanation:
f(-5) = (-5)^2 + 3(-5) - 21
= 25 - 15 - 21
= -11
Answer:
11
Step-by-step explanation:
) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.