Answer: g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
The original function f(x) becomes f(x+c), if it is shifted c units to the left.The original function f(x) becomes f(x-c), if it is shifted c units to the right.Also, if it is shifted d units down, then the function becomes f(x)-d.If it is shifted d units up, then the function becomes f(x)+d.Here, if we compare the graph of [tex]g(x) = (x + 2)^3 -7[/tex] compare to the parent function of [tex]f(x) = x^3[/tex].
We can observe that f(x) is shifted 2 units to the left and 7 units down.
So, the correct statement is "g(x) is shifted 2 units to the left and 7 units down".
Answer:
g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
I took it and got it correct.
A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns. Write an equation that shows the relationship between n, the number of supervisors, and u, the number of baby unicorns.
Answer:
18x-2
Step-by-step explanation:
Answer:
u=9n
Step-by-step explanation:
PLEASE HELP!!!
What is the interquartile range of this data set?
1,5, 27, 29, 34, 46, 48, 61, 64, 84, 96
Answer:
37
Step-by-step explanation:
Answer:
D. 37
Step-by-step explanation:
Your choice is correct!
Compare 1/11 to 11/20 using least to greatest
Answer:
0.09
0.55
Step-by-step explanation:
to write least to greatest firstly, start comparing both number
so the answer will be=0.09,0.55
it least to greatest or in assending order.
Ronald bought a car for 2,500. The value of the car depreciates by 6 percent each year. What type of function is this ?
Answer:
Exponential
Step-by-step explanation:
The liner function represents that there is a constant change in the original value of the asset
While on the other hand the ex[onential function refers to that function in which there is an increase or decreased in the value of the asset that contains the current value of the asset
Hence, the given situation denotes the exponential function
12/31/2020: During 2020, $10,000 in accounts receivable were written off. At the end of the second year of operations, Yolandi Company had $1,000,000 in sales and accounts receivable of $400,000. XYZ's management has estimated that $17,000 in accounts receivable would be uncollectible.
12/31/2020: During 2020, $10,000 in accounts receivable were written off. At the end of the second year of operations, Yolandi Company had $1,000,000 in sales and accounts receivable of $400,000. XYZ's management has estimated that $17,000 in accounts receivable would be uncollectible.
For the end of 2020, after the adjusting entry for bad debts was journalized, what is the balance in the following accounts:
Bad debt expense: Allowance for doubtful accounts:
For the end of 2020, what is the company's net realizable value?
Answer:
Bad debt expense = $17000
Allowance for doubtful accounts = $17000
Company's net realizable value of accounts receivable at end of 2020 is
= $383,000
Step-by-step explanation:
From the information given :
Accounts written off in 2020 = $10,000
Accounts receivable expected to be uncollectible = $17,000
The Bad debt expense and Allowance for doubtful accounts can be computed as follows:
12/31/2020
Adjustment entry :
Debit Credit
Bad debt expense $17000
Allowance for doubtful accounts $17000
Company's net realizable value of accounts receivable at end of 2020 = Closing accounts receivables - Allowance for Doubtful accounts =
Company's net realizable value of accounts receivable at end of 2020 is:
= $400,000 - $17,000
= $383,000
Which letter has a line of symmetry?
Answer:
D. all of the above
Step-by-step explanation:
All the letters from the options have a line of symmetry.
Find the solution of y= 4x+ 2 for x = -5.
Answer:
[tex]y=-18[/tex]
Step-by-step explanation:
[tex]y=4x+2[/tex] for [tex]x=-5[/tex]
[tex]y=4(-5)+2\\y=-20+2\\y=-18[/tex]
Answer:
y = -18
Step-by-step explanation:
y = 4x+2
Let x = -5
y = 4(-5) +2
y = -20 +2
y = -18
Graph the equation y = -x2 + 5x + 24. How do the values of x = 8 and x = -3 on the graph relate to this situation? Find the width of the archway.
Answer:
The values of x = 8 and x = -3 are the x-intercepts of this equation. The width of the archway is 11 units.
Step-by-step explanation:
Let be [tex]y = -x^{2}+5\cdot x +24[/tex], which is now graphed with the help of a graphing tool, the outcome is included below as attachment. The values of x = 8 and x = -3 are the x-intercepts of this equation, that is, values of x such that y is equal to zero. Algebraically speaking, both are roots of the second-order polynomial.
The width of the archway ([tex]d[/tex]) is the distance between both intercepts, which is obtained by the following calculation:
[tex]d = |x_{1}-x_{2}|[/tex], where [tex]x_{1} \geq x_{2}[/tex].
If [tex]x_{1} = 8[/tex] and [tex]x_{2} = -3[/tex], then:
[tex]d = |8-(-3)|[/tex]
[tex]d = 8 +3[/tex]
[tex]d = 11[/tex]
The width of the archway is 11 units.
how do i solve for this help please \sqrt(x+5) = \sqrt(x)+1
Answer:
x=4
Step-by-step explanation:
sqrt(x+5) = sqrt(x)+1
Square each side
(sqrt(x+5))^2 = (sqrt(x)+1)^2
x+5 = (sqrt(x)+1)^2
Foil
x+5 = (sqrt(x)) ^2 + sqrt(x) + sqrt(x) + 1
x+5 = x + 2 sqrt(x) + 1
Subtract x from each side
5 = 2 sqrt(x) + 1
Subtract 1 from each sdie
4 = 2 sqrt(x)
Square each side
4^2 = (2 sqrt(x))^2
16 = 4 x
Divide by 4
16/4 = 4x/4
4 =x
Check to see if it is extraneous
sqrt(4+5) = sqrt(4)+1
sqrt(9) = sqrt(4) +1
3 = 2+1
3=3
It is a valid solution
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]
Take the square on both sides.
[tex]x+5=( \sqrt{x}+1)^2[/tex]
Expand brackets.
[tex]x+5=( \sqrt{x}+1) ( \sqrt{x}+1)[/tex]
[tex]x+5= \sqrt{x} ( \sqrt{x}+1) +1 ( \sqrt{x}+1)[/tex]
[tex]x+5= x+ \sqrt{x}+ \sqrt{x}+1[/tex]
[tex]x+5= x+ 2 \sqrt{x}+1[/tex]
Subtract 2√x, x, and 5 on both sides.
[tex]x- 2 \sqrt{x} -x= 1-5[/tex]
[tex]-2 \sqrt{x} = -4[/tex]
Cancel negative signs.
[tex]2\sqrt{x} = 4[/tex]
Divide both sides by 2.
[tex]\sqrt{x} =2[/tex]
Square both sides.
[tex]x=2^2[/tex]
[tex]x=4[/tex]
Check if the solution in the equation works.
[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]
Let [tex]x=4[/tex]
[tex]\sqrt{4+5} = \sqrt{4}+1[/tex]
[tex]\sqrt{9} = 2+1[/tex]
[tex]3=3[/tex]
The value of x as 4 works in the equation.
Frieda worked 26 hours 13 minutes last week. She earns $18.75 per hour. What is Frieda's pay for this work period? Round your answer to the nearest hundredth.
Answer:
$491.56
Step-by-step explanation:
Total number of hours worked by Frieda = 26 hours 13 minutes
lets convert 13 minutes to hour
60 minutes = 1 hour\
1 minutes = 1/60 hours
13 minutes = 13/60 hours
Thus,
Total number of hours worked by Frieda = (26 + 13/60) hours
In 1 hours Freida earns = $18.75
in (26 + 13/60) hours Frieda earns = $18.75((26 + 13/60)) = 487.5 + 4.06
in (26 + 13/60) hours Frieda earns = $491.56 (Answer)
Find the midpoint of the segment between the points (−5,13) and (6,4)
Answer:
(0.5, 8.5)
Step-by-step explanation:
use this formula ((x1+x2/2), (y1+y2/2)) if you use desmos graphing calculator and you type this formula in, all you have to do it put in the correct numbers and you get your midpoint.
Hope this helped :)
The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)
We have given that, the points (−5,13) and (6,4)
We have to determine the midpoints
What is the formula for the midpoint?((x1+x2/2), (y1+y2/2))
x1=-5,x2=6,y1=13 and y2=4
-5+6/2=1/2=0.5
and next is,
13+4/2=17/2=8.5
The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)
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https://brainly.com/question/5566419
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let [tex]p=x^{2}+6[/tex]
Which equation is equivalent to [tex](x^{2}+6)^{2}-21=4x^{2}+24[/tex] in terms of [tex]p[/tex]?
Answer:
Hello There. ☆~---~--___●♡●__~--☆ Since p = x² - 7, you can substitute/plug in p for x² - 7
So:
(x² - 7)² - 4x² + 28 = 5
(p)² - 4x² + 28 = 5 You can factor out -4 from (-4x² + 28)
p² - 4(x² - 7) = 5 Plug in p
p² - 4p = 5 Subtract 5
p² - 4p - 5 = 0 And, your correct answer is C.
Hope It Helps!~
ItsNobody~ ☆
Expand. Your answer should be a polynomial in standard form. 3x(x to the second power, -5x+6)
Answer:
3x³ - 15x² + 18x
Step-by-step explanation:
Given
3x(x² - 5x + 6) ← distribute the parenthesis by 3x
= 3x³ - 15x² + 18x ← in standard form
The surface area of a solid is 10 square feet. The dimensions of a similar solid are
three times as great as the first. The surface area of the new solid in square feet
is...
PLEASE urgent
Answer:
90 ft²
Step-by-step explanation:
Given the sides of similar figures in the ratio a : b, then
ratio of areas = a² : b²
Here ratio of sides = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the surface area of the new solid is 9 times the first
SA = 9 × 10 = 90 ft²
The total surface area of the new solid in square feet is 90 square feet
Let the solid be a cube.
The surface area of a cube = 6L²
L is the length o the cube;
If the surface area of a solid is 10 square feet, then;
10 = 6L²
L² = 10/6
L = √10/6
If the dimensions of a similar solid are three times as great as the first, then;
New length Ln = 3√10/6
Total surface area of the new solid = 6Ln²
Total surface area of the new solid = 6(3√10/6)²
Total surface area of the new solid = 6(9*10/6)
Total surface area of the new solid = 6(90/6)
Total surface area of the new solid = 90 square feet
This shows that the total surface area of the new solid in square feet is 90 square feet
Learn more here: https://brainly.com/question/23756628
simplify
[tex] {a}^{ - 2} {b}^{3} [/tex]
Answer:
Below
Step-by-step explanation:
● a^(-2) *b^3
●(1/a^2) *b^3
● b^3 / a^2
A certain server works four 6-hour shifts a week at a restaurant and has a base salary of $9.75/ℎ. An average server sells $1400 in a single shift. If the server makes an average of 14% tip of a bill, what is the annual gross income of the server?
Answer:
The annual gross income of the server is $52936
Step-by-step explanation:
The server works four 6-hour shift a week.
the server earns $9.75/h
An average seller sells $1400 in a single shift, and makes 14% tip of a bill.
For the 6-hour shift, the server earns
6 x $9.75 = $58.5 a shift
in a week, the total money made for the four shifts in a week will be
4 x $58.5 = $234
The server makes an average of 14% of a bill, and makes about $1400 in a single shift.
In a single shift he makes a tip of
14% of $1400 = 0.14 x $1400 = $196
in a week he makes 4 x $196 = $784
Total money the server makes in a week is
==> $234 + $784 = $1018
There are 52 weeks in a year.
The server's annual gross income will be
52 x $1018 = $52936
Find the mean of the following data set. 8, 5, 15, 12, 10 12.5 10 14 50
Answer:
10
Step-by-step explanation:
8+5+15+12+10= 50 / 5 = 10
Wally rides his bicycle at an average speed of 13 miles per hour. How many miles will he travel in 4 1/2 hours? Please answer this quickly!
Answer:
58.5
Step-by-step explanation:
Distance = rate * time
so if it's 4.5 hours:
Distance = 13 mph* 4.5 hours
= 58.5 miles
first person to answer what 5 add 2 is CORRECT gets brainiest
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
5+2=7
(Please help!) Find the horizontal asymptote of f(x)=-2x^2+3x+6/x^2+1
Answer:
[tex]\large \boxed{\sf \ \ y=-2 \ \ }[/tex]
Step-by-step explanation:
Hello,
To guess the end behaviours when x tends to [tex]\infty[/tex] you only take into account the highest terms of polynomial expressions.
So the expression will be equivalent to
[tex]\dfrac{-2x^2}{x^2}=-2[/tex]
In other words we can say
[tex]\displaystyle \lim_{x\rightarrow+\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow+\infty} \dfrac{-2x^2}{x^2}=-2\\\\\displaystyle \lim_{x\rightarrow-\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow-\infty} \dfrac{-2x^2}{x^2}=-2\\\\[/tex]
So, the correct answer is y = -2
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Jacob had a six-sided number cube. Each side was labeled with one number, from 1
through 6. What is the probability that Jacob rolls a prime number?
Round to the nearest tenth.
Answer:
1 out of 6 because you have only one chance to get 4.
Step-by-step explanation:
Answer:
50% chance
Step-by-step explanation:
A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%
Please help ive been trying and i just cant get it right
Help ASAP! Will name brainliest!
Answer:
2 by 3
Step-by-step explanation:
please mark brainliest if it helped
The probability that a plane departs on time at a certain airport is .87 The probability that a plane arrives on time given it departed on time is .93 Find the probability that a plane departed and arrived in time. Write answer to four decimals. 3 points
Answer:
0.9355
Step-by-step explanation:
What we will use here is conditional probability formula.
let A be the event that the plane departs on time
and B be the event that it arrives on time
P(A) = 0.87
P(B|A) = 0.93
P(B) = ?
P(A n B) = ?
Mathematically;
P(B|A) = P(B nA)/P(A)
0.93 = 0.87/P(A)
P(A) = 0.87/0.93
P(A) = 0.935483870967742
which is 0.9355 to four decimal places
What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4
Answer:
-2
Step-by-step explanation:
3n+2n+4=9n+12
5n+4=9n+12
5n-9n=-4+12
-4n=8
n=8/-4
n= -2
Answer:
-2
Step-by-step explanation:
I got this right in my assignment.
Nine less than five times a number is three more than twice the number?
Answer:
x = 4
Step-by-step explanation:
5x-9 = 2x+3
3x = 12
x = 4
Answer:
4
Step-by-step explanation:
Which expressions are equivalent to -6n+(-12)+4n−6n+(−12)+4nminus, 6, n, plus, left parenthesis, minus, 12, right parenthesis, plus, 4, n ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 4(n-3) -6n4(n−3)−6n4, left parenthesis, n, minus, 3, right parenthesis, minus, 6, n (Choice B) B 2(2n-6)2(2n−6)2, left parenthesis, 2, n, minus, 6, right parenthesis (Choice C) C None of the above
Answer:
The correct option is;
Choice A 4·(n - 3) - 6·n
Step-by-step explanation:
The given expression is
Which gives;-6·n+(-12)+4·n
- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)
The options given are Choice A and/or Choice B;
(Choice A) 4·(n - 3) - 6·n
Which can be simplified as follows;
4·(n - 3) - 6·n = 4·n - 12 - 6·n
Which gives;
4·n - 12 - 6·n = 4·n - 6·n- 12 = -2·n - 12 = -(2·n + 12)
Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n
For choice B, we have;
2·(2·n - 6) which gives;
2·(2·n - 6) = 4·n - 12
Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n
Which gives the correct option as Choice A.
4(n-3)-6n
Khan academy I got this right
Question 4 of 8
Consider the recursive function of an arithmetic sequence below.
f(1) = 3
f(n) = f(n − 1) + 4, for n = 2, 3, 4,...
What is the 6th term of the sequence?
19
23
27
22
Submit
Answer:
[tex]\large \boxed{\sf \ \ 23 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]a_1=f(1)=3\\\\a_2=f(1)+4=3+4=7\\\\a_3=f(3)=a_2+4=7+4=11\\\\a_4=a_3+4=11+4=15\\\\a_5=a_4+4=15+4=19\\\\a_6=a_5+4=19+4=23[/tex]
So the answer is 23.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Please answer please question
Answer:38
Step-by-step explanation:multiple
If approximately 10% of people are left-handed, how many lefties would you expect in a high school graduating class of 424
Answer:
42
Step-by-step explanation:
P(left) = 0.10
Expected number of lefties among high school grads of 424
= 424 * 0.10
= 42 (to the nearest person)
Answer:
you do 20% of 424
1 0% of 424 =42.4
you could round it to 42