Answer:
C
Step-by-step explanation:
p³ - 216q³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
p³ - 216q³
= p³ - (6q)³
= (p - 6q)(p² + 6pq + 36q²) → C
Answer:
C. (p - 6q)(p² + 6pq + 36q²)
Step-by-step explanation:
Equation at the end of step 1
[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]
Trying to factor as a Difference of Cubes:
Factoring: p^3 - 216q^3
Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into
(a-b) • (a^2 +ab +b^2)
Proof: [tex](a-b)(a^{2} +ab+b^{2} ) =[/tex]
[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]
[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]
[tex]a^{3} +0+0-b^{3} =[/tex]
[tex]a^{3} -b^{3}[/tex]
Check: 216 is the cube of 6
Check: p^3 is the cube of p^1
Check: q^3 is the cube of q^1
Factorization is:
[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]
Trying to factor a multi variable polynomial :
Factoring: p^2 + 6pq + 36q^2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final Result:
(p - 6q)(p² + 6pq + 36q²)
10. Write the slope-intercept form of the equation of the
line parallel to the graph of 9x + 3y = 6 that passes
through (5,3).
Answer:
y = -3x + 18
Step-by-step explanation:
The slope intercept form of a line is expressed as y = mx+c
m is the slope
b is the intercept
Get the slope
Given the equation of a line 9x + 3y = 6
Rewrite
3y = -9x + 6
y = -9x/3 + 6/3
y = -3x + 2
Hence the slope of the line is -3
Get the y-intercept
Substitute m = -3 and (5,3) into y = mx+b
3 = -3(5) + b
3 = -15 + b
3 + 15 = b
18 = b
b = 18
Get the required equation
y = mx+b
y = -3x + 18
This gives the required equation
What's the answer to this?
Answer:
9
Step-by-step explanation:
We can see that 6 is 2 more than 3, and so the difference is -3^2, 9.
We can check this by seeing that -3^6 is -729 and -3^4 is -81.
We have
-729 / -81 = 9.
Answer: 9
Step-by-step explanation:
Is the result that you obtained in part F (with fractions) the same as the result you obtained in part H (with decimal numbers)? Explain.
Answer:
61 1/20 = 61 0.5
Yes, the results are the same in parts F and H.
edmentum answer :)
Harold drove 165 miles in 3 hours. Complete parts a and b.
a. How many miles per hour did Harold drive?
Harold drove at
mile(s) per hour.
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
7
Where is the question ✅
________________
help me pls. my teacher asks a question and we are doing ratio.
what is the smaller ratio, 32:24 or 30:22?
I do not understand how to find the smaller ratio, I have five pages of notes and she hasn't explained, am I supposed to simplify and add and see which total is smaller?
Answer:
32:24
Step-by-step explanation:
So ratios are like fractions
You can write 32:24 like [tex]\frac{32}{24}[/tex]
and 30:22 like [tex]\frac{30}{22}[/tex]
Like fractions you can simplify them, you want to get the denominator or the bottom numbers the same so you can compare the top number.
[tex]\frac{32}{24}[/tex] [tex]\frac{30}{22}[/tex] One way to make the denominator the same is to do 24x22=528
then do 32x22=704 then 30x24=720
Then that gives you [tex]\frac{704}{528} \frac{720}{528}[/tex] Here you can see that 704 is smaller then 720
and since 704 is the same as 32:24
32:24 is the smaller ratio
Binaya spent 10 of his pocket money. He has Rs 120 left now. Find:
(1) How much money did he spend? (i) How much money did he have?
Answer:
$10 and $130
Step-by-step explanation:
If he spent 10 of his pocket money, then he spent 10
Because he spent 10, that means that he had 120 + 10 = 130 at the start
If f(x)= x + x2 and g(x)
+7?+ 1, what is the value of f(x) - g(x) when x = 1?
PLZZ HELP ME!!!
ANY LINKS WILL BE REPORTED
Find the volume of this object.
Answer:
24 will be your answer.
Step-by-step explanation:
Plzz help mee!!! will mark brainiest
Answer:
Step-by-step explanation:
Functoin B, A, C
the following structure is composed of two right rectangular prisms that each measure 12 inches by 10 inches by 5 inches and one right rectangular prism that measures 10 inches by 8 inches by 36 inches what is the total volume of the structure? explain your thinking
Answer: 4080
Step-by-step explanation: Find the Volume of the first two right rectangular prisms
2*(12*10*5)=1200
Then find the volume of the third rectangular prism
10*8*36=2880
And Add them
2880+1200=4080
Hope this helped
Solve the system of equations. 2y-y=5 and 3x+2y=4
Answer:
Step-by-step explanation:
Answer:
y=5 x=-2
Step-by-step explanation:
what is 47 ounces converted to pints and ounces
2.9375 Pints
and 47 ounces is, well... 47 ounces
Students class Presidential Votes
candidate number of votes
brown 15
shui 29
hatim 16
The table shows the number of votes each student received for class president. What is the ratio of votes for Hatim to the total number of votes?
A: 15/4
B: 4/11
C: 4/15
D: 1/4
If Lena has a whole pizza she divides in half then eats a 1/2 of the half, then Jack comes and eats 1/8 of the rest, how much pizza is remains (not including the half that was not eaten by the siblings)
Answer:
7/8 or 1/2
Step-by-step explanation:
Because if the siblings ate 1/8 and u simplify 1/8 and u will get 1/2
What is the initial value of the following equation?
y = 4(9)
Answer:
y = 36
Step-by-step explanation:
4(9) = 4 x 9 = 36
A piece of wire 16 feet long is strung from
the top of the side of a house to the
ground. The distance from the base of the
house to where the wire meets the ground
is 9 feet, as shown in the picture.
The figure is not diawn to scale)
How tall, in feel the house)
C 17
The height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
As we can see the wire, wall and base making a right angle triangle;
So applying the Pythagoras theorem:
Supposing the length of the wall is x feet
16² = 9² + x²
x²= 175
x = √175 feet
Thus, the height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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How much tip would you leave the server if your bill was $48.43 and you wanted to tip the server 15%? ASAP besties
Answer:
$7.26
Step-by-step explanation:
You would multiply the decimal version of 15% (0.15) by 48.43
.15*$48.43 = 7.2645
hi i need help with this question asap ty ty ty!!!
A triangle has two angles that measure 73 degrees and 38 degrees.
What is the measurement of the third angle? ( please help)
Answer:
The third is sixty-nine degrees
Step-by-step explanation:
73°+38°+69°=180°
Mai spent $64 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the goal did she spend on fruit?
Answer:
80%
Step-by-step explanation:
64/80 = .8/1
multiply by a hundred and you get 80%
Given that the function graphed is f(x), what is f(7)?
A)
-2
B)
-1
C)
1
D)
2
Answer:
B.) -1
Step-by-step explanation:
I am a fraction that has a dominator of six i am less than one half but grater than one sixth what fraction am i
Answer:
2/6
Step-by-step explanation:
Given: triangle WIN is similar to triangle TRY
Solve for x and y
Binaya spent 9/10 of his pocket money. He has Rs 120 left now. Find:. (i) how much money did he spend ? (ii) how much money did he have?
Solving a linear equation we will find that they spent a total of Rs 1.080 and they initially had Rs 1,200.
How much money did he spend?Let's assume that initially they had M money, we know that they spend 9/10 of it, so now they have:
(1/10)*M
And we also know that at the end Binaya had Rs 120, so we can write the linear equation:
(1/10)*M = Rs 120
Solving that for M we will get:
M = 10*Rs 120
M = Rs 1,200
And the amount that they spent is 9/10 of that, so it is:
(9/10)* Rs 1,200 = Rs 1,080
So, they spent a total of Rs 1,080 and they initially had a total of Rs 1,200
Learn more about linear equations:
https://brainly.com/question/1884491
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100 Points to the person who gets this right
Bridget drew ΔYZ and Δ′ ′ ′ on a coordinate plane, as shown below.
Which statement about the relationship between ΔYZ and Δ′ ′ ′ is true?
(A)Δ′ ′ ′ is NOT a translation of ΔXYZ because the y-coordinate of Point is not the same as the y-coordinate of point ′.
(B)Δ′ ′ ′ is a translation of ΔXYZ because their corresponding sides are parallel.
(C)Δ′ ′ ′ is NOT a translation of ΔXYZ because not all points contained in Δ′ ′ ′ have negative x-coordinates.
(D)Δ′ ′ ′ is a translation of ΔXYZ because all points in Δ′ ′ ′ are the same distance and direction from the corresponding points in ΔXYZ.
Answer:
Im confused on what the question is, ill change my answer when i can somehow understand the question
Step-by-step explanation:
Im confused what the question is
Answer: (D)
D: Δ′ ′ ′ is a translation of ΔXYZ because all points in Δ′ ′ ′ are the same distance and direction from the corresponding points in ΔXYZ.
The total amount of money saved in
dollars by Jerod and Janine is below,
where w represents the number of
weeks they have been saving.
Jerod: 64 + 8W
Janine: 92 +6w
How many weeks does it take for Jerod
and Janine to have the same amount
The equation x2 - 9 = 0 has
real solution(s).
DONE
Answer:
{-3, 3}
Step-by-step explanation:
x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0. Letting each factor equal zero separately and solving for x, we get x: {-3, 3}
The question is in the picture above ^
Answer:
the area of this fig is
[tex]200.53 {m}^{2} [/tex]
PLEASE IM IN CLASS RIGHT NOWWWW
Answer:
102
Step-by-step explanation: