Answer:
x = 7
Step-by-step explanation:
make a proportion from corresponding sides:
AC/FD = AB/DE
12/x+1 = 6/x-3
cross-multiply:
12(x-3) = 6(x+1)
12x - 36 = 6x + 6
6x = 42
x = 7
For the function f(x) = 5x3 – 6, find f-1(x).
Please help 20 points !
Answer:
C
Step-by-step explanation:
We are given the function:
[tex]f(x)=y=5x^3-6[/tex]
And we want to find its inverse.
In order to find the inverse of a function, we take the following steps:
1) Switch the independent variable x with the dependent variable y.
2) Solve for the dependent variable y.
We have:
[tex]y=5x^3-6[/tex]
Switching the two variables:
[tex]x=5y^3-6[/tex]
Solve for y. We will add 6 to both sides:
[tex]x+6=5y^3[/tex]
Dividing both sides by 5:
[tex]\displaystyle y^3=\frac{x+6}{5}[/tex]
And taking the cube root of both sides:
[tex]\displaystyle y=\sqrt[3]{\frac{x+6}{5}}[/tex]
Thus:
[tex]\displaystyle f^{-1}(x)=\sqrt[3]{\frac{x+6}{5}}[/tex]
Our answer is C.
IHKGHUSOHUOSLSO ANSWER
I REALIZED I DID IT WRONG SO UH IGNORE WHAT I SAID IM SORRY D:
Area of the triangle is 1/2 base x height
1/2(6)x(7)
21m^2
Area of the rectangle is l x b
6 x 10
60m^2
Total area = area of triangle + area of reactangle
Total area = 21m^2 + 60m^2
Therefore total area is 81m^2
Please help! Picture Down Below
Answer:
B
Step-by-step explanation:
Corrosponding angle is exacltly
that
Answer:
c.same side interior angles theorem
What number is 32% of 120
Answer:
38.4
Explanation:
32% = .32
.32*120
38.4
Answer:
32% of 120=32/100×120=32/10×12=3.2×12=38.4
Write a word problem that could be solved using the division equation
16 divided by 2 =8
Answer:
Step-by-step explanation:
A word problem that represents division equation '16 divided by 2 =8' is Dayana and his friend John bought a 12lb bag of candy at the grocery store. If they want to share it equally, how much candy will each person get?
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
We have expression:
16 divided by 2 =8
In numerator form,
16 ÷ 2 = 8
Dayana and his friend John bought a 12lb bag of candy at the grocery store.
If they want to share it equally, how much candy will each person get?
16 ÷ 2
16 / 2 = 8
16 divided by 2 =8
The quotient is 8.
It means that each person will get 8lb of candy.
Therefore, the problem is, Dayana and his friend John bought a 12lb bag of candy at the grocery store. If they want to share it equally, how much candy will each person get?
To learn more about the division;
https://brainly.com/question/13263114
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Behind Lin’s house there is a kiddie pool that holds 180 or 680 units of water, depending on which unit you are using to measure. Which measurement is in gallons, and which is in liters?
180? 680?
Answer:
180 gallons of water; 680 liters of water
Step-by-step explanation:
theres about 3.78 liters in a gallon, and when you multiply that by 180 you get 680.4! gallons are bigger then liters, so they'd be less of them.
help me PIZThis is a picture of a cube and the net for the cube.What is the surface area of the cube? k12
Answer:
486 in²
Step-by-step explanation:
9x9x6=486 in²
Juan and his family fly from London to Rio de Janeiro.
The plane departs at 10 20 and arrives in Rio de Janeiro 11 hours 40 minutes later.
The local time in Rio de Janeiro is 5 hours behind the local time in London.
Work out the time in Rio de Janeiro when the plane arrives.
Answer:
The time in Rio de Janeiro when the plane arrives is 17:00.
Step-by-step explanation:
Since Juan and his family fly from London to Rio de Janeiro, the plane departs at 10:20 and arrives in Rio de Janeiro 11 hours 40 minutes later, and the local time in Rio de Janeiro is 5 hours behind the local time in London To work out the time in Rio de Janeiro when the plane arrives, the following calculation must be performed:
(10:20 + 11:40) - 05:00 = X
22:00 - 05: 00 = X
17:00 = X
Thus, the time in Rio de Janeiro when the plane arrives is 17:00.
4 + 2(x - 2) = 2 (x - 1) + 2 = ?
The answer is: 0 = 0
True for all x
Please help really fast :)
Answer:
Step-by-step explanation:
The two smaller angles add up to the measure of the total angle, so
(like a lot of geometry) it is really just an Algebra 1 problem with a nice picture to go with it ---> (5x + 13°) + (3x + 33°) = 70°
8x + 46° = 70°
8x = 24°
x = 3°
There is no actual question shown, but I imagine you want one or more of the following:
x = 3°
∠ABC = 3(3°) + 33° = 9°+ 33° = 42°
∠CBD = 5(3°) + 13° = 15° + 13° = 28°
Hope this helps.
Factorise the following :
Answer:
p²q-pr²-pq+r²
p²q-pq-pr²+r²
taking common from two term
pq(p-1)-r²(p-1)
again taking common
(p-1)(pq-r²)
is your answer
Answer:
p²q-pr²-pq+r²
p²q-pq-pr²+r²
taking common from two term
pq(p-1)-r²(p-1)
again taking common
(p-1)(pq-r²)
is your answer
Step-by-step explanation:
Find the value of x.
69°
(2x-1)°
Answer:
x = 11
Step-by-step explanation:
69° + (2x - 1)° = 90° (complementary angles)
69 + 2x + 1 = 90
Add like terms
69 - 1 + 2x = 90
68 + 2x = 90
Subtract 68 from each side
68 + 2x - 68 = 90 - 68
2x = 22
Divide both sides by 2
2x/2 = 22/2
x = 11
Cameron and his children went into a movie theater where they sell drinks for $6 each and candies for $5 each. Cameron has $100 to spend and must buy at least 18 drinks and candies altogether. If x represents the number of drinks purchased and y represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Cameron could buy 4 drinks and 15 candies
What is the following product? Assume d greater-than-or-equal-to 0.
RootIndex 3 StartRoot d EndRoot times RootIndex 3 StartRoot d EndRoot times RootIndex 3 StartRoot d EndRoot
d
d 3
3 (RootIndex 3 StartRoot d EndRoot)
StartRoot 3 d EndRoot
Using root/exponent properties, the result of the product is d.
A radical integer can be written in exponential form, according to the following relation:
[tex]\sqrt[b]{a^c} = a^{\frac{c}{b}}[/tex]
Hence:
[tex]\sqrt[3]{d} = d^{\frac{1}{3}}[/tex]
Then, applying the multiplication, and the power of power property, the expression can be represented as:
[tex](d^{\frac{1}{3}})^3 = d^{\frac{3}{3}} = d^1 = d[/tex]
Thus, the result of the product is d.
A similar problem is given at https://brainly.com/question/11234596
Answer:
d
Step-by-step explanation:
Select all of the transformations from the parent function y=3^x to y=3^x+2 HURRY PLS ITS A TEST
Answer:
reflection over y axis and vertical translation up 2
Step-by-step explanation:
We want to factor the following expression:
x4+ 3x2y+9y2
Which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions.
Answer:
Answer is A
Step-by-step explanation:
Thats all And do i need to explain ?
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How much is it for 1
Answer:
small = 0.1853...
medium = 0.1627...
large = 0.106179775
Step-by-step explanation:
divide the $ by the grams
1.39/75 etc
Answer:
1.45 with tax for a small fry
Step-by-step explanation:
1.39+.6=1.43
HELP ME PLSSSSSSSSS. what is the area of this shape
Given the labeled diagram at the left. Find X.
Answer:
x = 55°
Step-by-step explanation:
Measure of central angle is equal to the measure of the corresponding minor arc
Therefore, m(central angle) = 70°
Since, radii of same circle are equal
Therefore, measure of the angles opposite to them are also equal.
So, by interior angle sum postulate of a triangle:
x + x + 70° = 180°
2x = 180° - 70°
2x = 110°
x = 110°/2
x = 55°
A circle has a diameter of 15 in. Vhat is the area of the circle? WORK
Answer:
176.71 in square inches
Answer:
모 ⃢ ⃢ Heres The Link To The Answer: https://vm.answersheet.com/ZMeSy4nH1/
Step-by-step explanation:
Payback b*tch!!!
5. What is another way to write 3√12?
Answer:
ANSWER FOR THIS IS:6√3ExplanationThe square root of 12 is the same as the square root of (4 x 3), which is the same as the square root of 4 times the square root of 3. The square root of 4 is 2. So 3 times the square root of 12 is the same as 3 times 2 times the square root of 3.Another way to write the expression 3√12 is 6√3.
What is another way to write 3√12?Given the expression 3√12.
First, we rewrite 12 as 2²×3
3√12 = 3√( 2² × 3 )
Next, we pull terms out from under the radical.
3√12 = 3√( 2² × 3 ) = 3 × (2√ 3 )
Next, we multiply 3 and 2
3 × (2√ 3 ) = 6√3
Therefore, another way to write the expression 3√12 is 6√3.
Learn more about square roots here: https://brainly.com/question/3120622
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sin(19/12 pi)=-(sqrtA(sqrtB +1))/4
Answer:
−0.965926=
−1 /4 /√a√b+ −1 4 /√a
Step-by-step explanation:
some students at a high school created a new school flag in the shape of an isosceles triangle points X and Y are located so that AB=AX=YX= YC find the measures of angle C
Answer:
180/7
Step-by-step explanation:
Comment if you want it, but it's very long.
4. Mass is measured using a
A. scale.
C. displacement.
B. glass.
D. graduated cylinder.
Given mn, find the value of x.
1
(x-11)
¿ que se refiere "al cuadrado" ? Selecciona la contestación:
4/3
4/2
Answer:
4^2
Step-by-step explanation:
Al cuadrado en ingles significa "to square", asi que basicamente significa multiplica el numbero por si mismo 2 veces (4 x 4 = 16)
Answer:
ehhh 0_0 ahhhhhhhhhhhhh
Step-by-step explanation:
pls help asap!!! just need answers not work
Answer:
b= 5[tex]\sqrt{3}[/tex] c = 10, x=7 hypotenuse = 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
A 30-60-90 triangle has the ratios of x-x[tex]\sqrt{3}[/tex]-2x so if x=5, then 5-5[tex]\sqrt{3}[/tex] - 10
for a 45-45-90, if one leg is 7, so is the other x[tex]\sqrt{2}[/tex] so hypotenuse is 7[tex]\sqrt{2}[/tex]
Stuck on this problem help!
Answer:
C
Step-by-step explanation:
The area of cylinder is the area of the base (pi r^2) and the height (5)
Answer:
C
Step-by-step explanation:
Well if you think about it the normal formula is V=πr^2h
A cylinders base is a circle and the area for a circle is πr^2
If you cancel πr^2 you are left with height
So therefore it would be V=area of the base*height
Factorise the following expression :
Answer:
3a²bc+6ab²c+9abc²
taking common 3abc from all
3abc(a+2b+3c)
ut+at²
t(u+at)