Answer:
x=-10
Step-by-step explanation:
Move like terms to the same side
2x+6-x=-4
x=-4-6
x=-10
2x+6=x-4
subtract x from both sides
x+6=4
subtract 6 from both sides
x=-10
hope this helps!
7. Find the inverse of f(x) = 4x^3 + 8.
Answer:
The inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is determined to be [tex]{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].
Step-by-step explanation:
In order to find the inverse of a function, we need to know a couple of rules about functions.
f(x) = yTo find the inverse, we flip the y-variable with the x-variables and solve for y.Following these rules, our function now becomes [tex]\displaystyle{x=4y^3+8}[/tex].
We now can simplify it further in order to find the value of x.
[tex]\displaystyle{x=4y^3+8}\\\\4y^3=x-8\\\\y^3=\frac{x}{4}-8\\\\\sqrt[3]{y^3}=\sqrt[3]{\frac{x}{4}-8} \\\\y = \sqrt[3]{\frac{1}{4}x-8}\\\\f^{-1}(x)= \sqrt[3]{\frac{1}{4}x-8}[/tex]
Therefore, the inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is [tex]\displaystyle{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].
Answer:
[tex]\huge\boxed{f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}}[/tex]
Step-by-step explanation:
In order to find the inverse of a function, we need to follow a series of steps.
1. Write the function in the form [tex]y=ax^b+c[/tex]
2. Swap where the x and y values are
3. Solve for y
4. Convert into [tex]f^{-1}(x)[/tex] form
So first, we can write [tex]f(x)=4x^3+8[/tex] as [tex]y=4x^3+8[/tex].
Now we need to swap where the x and y variables are. This makes our equation [tex]x=4y^3+8[/tex].
To find the inverse, we now need to solve for y in this equation.
[tex]x=4y^3+8[/tex] Subtract 8 from both sides:[tex]x-8 = 4y^3[/tex] [tex]4y^3 = x-8[/tex] Divide both sides by 4:[tex]y^3 = \frac{x-8}{4}[/tex] Take the cube root of each side: [tex]y = \sqrt[3]{\frac{x-8}{4}}[/tex] Convert into [tex]f^{-1}(x)[/tex] form [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex]Therefore, the inverse of this function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex].
Hope this helped!
Write the equation of the line through (3,9) and (-2,9)
Answer:
y = 9
Step-by-step explanation:
y-y1 = m(x-x1)
m is the slope =y2-y1/x2-x1=9-9/-2-3=0
pick any number out of the given two for (x1, x2)
y-9 = 0*(x-3) so
y-9 = 0 add 9 to both sides
y = 9
The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in the a:b form)
Answer:
58:28
Step-by-step explanation:
simplified its 29:14!
work out (-5)2
I will mark brainest but the answer has to be right
Please I need a answer fast
solution
X + k
X - 2k
=X+k-x-2k
=x-x+k-x-2k
=0-k
=-k
or,
1
k
PLEASE ANSWER THIS IS REALLY IMPORTANT!!!
Can someone help me with this question thx
Answer:
D. 3
Step-by-step explanation:
3x−2y=−6
solve for y
-2y=-3x-6
y= 3/2x+3
y=mx+b
b= y intercept --> b = 3
-27 - (-8)=
A -35
B -18
C 19
D 35
Answer:
The answer is -19
Step-by-step explanation:
-27 - (-8)=
-27+8
=-19
Answer:
C
Step-by-step explanation:
-27 - (-8) automatically becomes -27 + 8 because the two negatives cancel each other out. which then gives you -27 + 8 = 19.
an item is regularly priced at $55 it is priced at a discount of 40 off regular price what is a percent now
Answer:
Thus, a product that normally costs $55 with a 40 percent discount will cost you $33.00, and you saved $22.00. You can also calculate how much you save by simply moving the period in 40.00 percent two spaces to the left, and then multiply the result by $55 as follows: $55 x . 40 = $22.00 savings.
Step-by-step explanation:
Tylers brother earns a commission. He makes 3.4% of the amount he sells. Last week, he sold $760 worth of shoes. How much was his commission?
Answer:
Step-by-step explanation:
760*3.4%=25.84 in commission.
Answer:
25.84
Step-by-step explanation:
760*3.4%=25.84 in commission.
What is the best of these four methods to estimate of the total cost of four items priced at $5.65, $7.80, $3.25, and $4.99?
Answer:
use a calculator that should help u so much
c=(q+k/3)m for q Solve for q.
Answer:
(3 -mk)/3m=q
Step-by-step explanation:
Ms. Cohen is buying supplies for her kindergarten class room. she can spend at most $30. she wants to buy boxes of crayons that cost $2 per box. she also buys a poster for $5. mrs.Cohen wants to know how many boxes of crayons she can buy.
Answer:
Ms. Cohen can buy 12 poxes of crayons.
Step-by-step explanation:
Ms. Cohen can buy 12 boxes of crayons with the rest of her money. In the question it states she only wants to buy 1 poster not more than one so if she buys 1 poster that's
30-5-25
and than you can just count up by 2 till you get the closest to 25
25-24=1$
24/2 = 12
Hope this helps.
The number of boxes of crayons that can be bought is needed.
The number of boxes that can be bought at most is 12.
Linear inequalitiesLet [tex]x[/tex] be the number of boxes of crayons
Total amount of money = $30
Cost of one box = $2
Cost of poster = $5
The linear inequality will be
[tex]2x+5\leq 30\\\Rightarrow x\leq\dfrac{30-5}{2}\\\Rightarrow x\leq 12.5[/tex]
Learn more about linear inequality:
https://brainly.com/question/18881247
someone please help me with this problem much appreciated
please hurry
what’s the slope of the line that passes through the points (-5,6) and (11,2)??
Answer:
-0.25Step-by-step explanation:11 - (-5) is 16 and 2 - 6 is -4 and -4 divided by 16 is -0.25
Answer:
-0.25Step-by-step explanation:
This is because when calculating the slope of given points, we must use this simple formula:
Slope= rise/run = Δy/Δx(simplified version)
The actual formula is
slope = (y₂ - y₁) / (x₂ - x₁)PROCESS:1. Find the difference of the x axis'
ANSWER: The difference of the x axis should be 11-(-5)= 16
2. Find the difference of the y axis'
ANSWER: The difference of the y axis should be 2-(6)= -4
3. Substitute these new values into the formula Δy/Δx
ANSWER: You should get -4/16 which is -0.25
4. Your answer will be -0.25
Someone help please I can give brainlist?
Answer:
-2.4f - 21
Step-by-step explanation:
Xochitl has saved $201.60. Yamka has saved LaTeX: \frac{2}{3}2 3 the amount Xochitl saved. Zack has saved 1.5 times the amount Yamka saved. How much have they saved all together?
Answer:
$537.60
Step-by-step explanation:
Xochitl has saved $201.60.
Yamka has saved 2/3 the amount Xochitl saved.
The amount Yamka has saved us calculated as:
2/3 × $201.60
= $134.40
Zack has saved 1.5 times the amount Yamka saved.
The amount Zack has saved is
1.5 × $134.40
= $201.60
How much have they saved all together?
This is calculated as:
$201.60 + $134.40 + $201.60
= $537.60
Find the value of in the triangle shown below
9, 7, and x around the triangle
Answer:
Step-by-step explanation: 56
Answer:
130 is correct
Step-by-step explanation:
What is 12r + 5 + 3r - 19
Omar has a gift card for $25 at a clothing store. He wants to buy socks that cost $4 per pair. He also has a coupon for $5 off his entire purchase. Omar wants to know how many pairs of socks he can buy. Write and inequality that represents the situation.
Answer:
4x ≤ 30
Step-by-step explanation:
Omar gets 30 dollars off because $25 + $5 = 30. Let x = pairs of socks
We know each pair costs $4, so the cost would be 4x. Omar has to buy as many pairs as he can with only the coupon and gift card. Omar has to spend $30 (the full discount) or less than $30. Therefore, the inequality would be: 4x ≤ 30 or 4x is less than or equal to 30 ($30).
Answer: 4p-5_<25
Step-by-step explanation:
i got i right
HELP PLZ FIRST TO ANSWE GETS BRAINLIEST
Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants
to be paid at least $500. Which inequality can be used to find the number of sales she
needs to make?
O A. 100 - 15x < 500
OB. 100 + 15x < 500
O C. 100 - 15x 2 500
OD. 100 + 15x 2 500
Hey there!
I think the answer is B.
A gallon of gas costs $2.73. Walter pays for 24 gallons of gas. He gives the clerk $80.00. How much change should Walter receive after paying for the gas?
He would pay $14.48
To get this answer you would need to multiply $2.73 by 24 and subtract by $80.
The formula used to calculate simple interest is modeled by I=prt, where I=simple interest, p=principle, r=interest rate, and t=time, measured in years. Which of the following options represent(s) an alternative equivalent version of the simple interest formula? Select all that apply
Answer:
I know it may be a little late but
here is the answers
t=l/rp
p=l/rt
l=trp
Hope this helps c:
Which number line represents the solutions to |x - 2|= 6?
Answer:8 and -4
Step-by-step explanation:
[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4
A class has 17 girls and 4 boys. A teacher needs something from the front office, so selects a student at random to go. Before that student comes back, another teacher drops in and selects another student at random for another task. What is the probability that a girl was selected both times?
Answer:
I think it's like 81%
Step-by-step explanation:
17 /21=.809
What is the equation in slope-intercept form for the graph shown? *
N
0
F. y + x = -3
G. y = 3x + 1
H. y - 3x = 1
I. y = - 3x + 1
Answer:
I
Step-by-step explanation:
The answer is y = -3x+1. If you need an explanation, just ask.
the cost of a family membership at a health club $58 per month plus a one time 129 start up fee . if a family spent 651 , how many months is their membership?
Answer:
9 months
Step-by-step explanation:
651=58x+129
-129 -129
522=58x divide 522 by 58
=9
2.4 x 10^2 and 2.4 x 10^3 expressed in scientific notation?
Answer:
.024 and .0024
Step-by-step explanation:
move the decimal over the amount of spaces that is the exponent.
Geppetto is a puppet maker. When the month started, Geppetto had 6 puppets ready to sell. On the ninth day, he had 69 puppets finished.
He made 7 puppets per day for nine days plus that 6
An orthocenter is the intersection of three
angle bisectors in a triangle.
altitudes in a triangle.
medians in a triangle.
perpendicular bisectors in a triangle.
Answer:
Altitudes in a triangle
option 2
Step-by-step explanation:
Answer:
B
Step-by-step explanation: