Sum of cubes:
(a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes:
(a – b)(a2 + ab + b2) = a3 – b3
Which products result in a sum or difference of cubes? Check all that apply.
(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)
Answer:
C and E
Step-by-step explanation:
Answer:
3 and 5
Step-by-step explanation:
The solution of this problem is in this picture.
does this graph show a function pic out of the multiple choice to explain how
Answer:
B
Step-by-step explanation:
The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.
what is the missing reason in the proof?
Answer:
i cant view the picture
Step-by-step explanation:
Line l has a slope of the line through which of the following pair of points is perpendicular to l?
A. (21,-4), (-5,7)
B.(-7, -5),(4,7)
c. (7-7), (-5,4)
D.(-2,-5), (4,7)
[tex]5x2 + 2x - 3=0[/tex]
Put these numbers in order from least to greatest.
9.9, 9.5, and 9 4/5
what is the scale factor from figure a to figure b
Answer:
times 2 ( x 2 )
Step-by-step explanation:
These two quadrilaterals are similar because figure A's sides are 20 times less than figure B's sides. Figure A's top base is 22 while figure B's top base is 44. To find the value of figure B's side, we multiply by 2. All the sides of figure A will be similar to the figure B if multiplied by 2.
Therefore, scale factor of figure A to figure B is multiply by 2.
hope this helps...
Answer:
Scale factor is 1 to 2
or given the actual question that you asked (a-b vs b-a)
2 to 1
Step-by-step explanation:
Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)
15a) Set the equation equal to 0 by inverse operations.
15b) Place the equation in factored form.
15c) Set each factor equal to 0 and solve for x.
I need help asap will give brainlist if answered and work is showed!
Step-by-step explanation:
15a)
[tex]x^2+4x=21[/tex] Subtract both sides by 21
[tex]x^2+4x-21 =0[/tex]
15b)
7 and -3 multiply to -21 and add to 4
The factors are (x+7)(x-3)
15c)
x+7 =0
x=-7
x-3=0
x=3
If f(x) = 5x, what is rx)?
Answer:
18x
Step-by-step explanation:
If f(x) is 5x which can also be expressed 5(x)
Then r(x) is a number then x
f is the fifth digit in the alphabet
So fx is 5x
r is the 18 th letter so
18x
Hihi , please help if able.
Answer:
9(9m + 3t) = 81m + 27t
Step-by-step explanation:
With brackets with more than one term inside multiplied by a number;
The rule of thumb to know is that with brackets, everything inside must be multiplied by everything outside;
So, in this case, the number 9 must be multiplied by each term inside the brackets:
9 × 9m = 81m
9 × 3t = 27t
So to expand, opening the brackets, you get:
81m + 27t
B
47°
F
G
A
C
20
J
H Н
Answer:
FGAC 20 JH Н
Step-by-step explanation:
FGAC 20 JH Н
PLEASE ANSWER ASAP Mia randomally surveys students in her middle school to learn about their favorite type of novel. Of 40 respondents, 16 liked to read mystery novels. Based on Mia's data, how many of the 350 students in her middle school like to read mystery novels?
Answer:
140
Step-by-step explanation:
40 divided by 16 = 2.5 . 350 divided by 2.5=140 hope this helped
Which of the following determines a plane?
Answer:
Answer B
3 non collinear point
if f(x)=x2+x and g(x)=x-3, find f(g(7))
f(g(7)) = 20
Hope it helps you...
Part II: Find the sine, cosine, and tangent ratios of <y
Answer:
sin θ = 22.62°
cos θ = 22.62°
tan θ = 22.62°
Step-by-step explanation:
From the diagram above
Opposite = 5
Adjacent = 12
Hypotenuse = 13
a) sin θ = Opp/Hypotenuse
sin θ = 5/13
sin θ = 0.3846153846
arc sin 0.3846153846
= 22.619864948°
Approximately = 22.62°
b) cos θ = Adjacent/ Hypotenuse
θ = 12/13
= arccos(0.9230769230769231)
22.619864948°
Approximately = 22.62°
c) tan θ = Opposite/Adjacent
θ = 5/12
= arctan(0.4166666666666667)
= 22.619864948°
= 22.62°
Which number best represents the slope of the graphed line?
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
Step-by-step explanation:
many things are possible.
the only thing we must not do is mixing the addition elements with the multiplication elements.
but we could change the expression to
3×(3×8) + 5
or
5 + (3×3)×8
or
5 + (3×8)×3
and so on, and it would always be the same result.
The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.
The given expression is 5+3 ×(3×8).
We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.
What is the commutative property of addition?The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.
Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.
The new expression=3×(3×8)+5
Therefore, option B is the correct answer.
#SPJ2
Your question is incomplete, probably the complete question/missing part is:
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
A. (3*3)*8+8
B. 3*(3*8)+5
C. 5+3*(24)
D. 3*(8*3)+5
what is the formula of cost
Step-by-step explanation:
I don't know the answer try again later
express 96 as the product of prime factors
need it asap
plzz write the method too
Given:
The given number is:
[tex]96[/tex]
To find:
The product of prime factors of given number.
Solution:
We have,
[tex]96[/tex]
The prime factors of given number are:
2 | 96
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
So, 96 can be written as:
[tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex]
Therefore, the 96 as the product of prime factors is [tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex].
PLS HELP ASAP!! THX
For questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.
Answer:
Did you find them ?
Step-by-step explanation:
Pls can anyone give me tips for studying when I'm high-school
Answer:
take a break from social media , find a peaceful spot to study ,be engaged , take notes and listen during discussion make use of ur extra time wisely
hope it's helpful
What is the equation of the line graphed below? Y +1= -3(x-1)
Answer:
y=-3x+2
Step-by-step explanation:
distribute and simplify
2 Points
(25x
0
The equation ya
represents Michelle's regular
130(x-38) +950 %> 38
hourly and overtime wage. Based on this equation, what is Michelle's
overtime hourly pay?
A. $30
B. $38
O C. $950
O D. $25
Answer:
The answer is "35.22".
Step-by-step explanation:
Let the given equation:
[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]
Answer: $25
Step-by-step explanation: took the quiz
how to Find the area of the following parallelograms?
Answer:
A=LxW
Step-by-step explanation:
It is same as the area of rectangles
A=LxW
Answer:
To find first Base and height of parallelogram then
Area= b×h
how would 3 over 5
be Classified
Answer:
3/5 is expressed as 60% in terms of Percentage.
Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.
What are the measure of ∠1 and ∠ 2 ? Show your work or explain
Answer:
I need the picture.
Find the area of the triangle. Round your answer to the nearest tenth.
B
25 cm
320
c
A
25 cm
d. 195.3 cm
c. 165.6 cm2
b. 312.5 cm?
a. 331.2 cm2
Answer:
c. 165.6 cm²
Step-by-step explanation:
We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:
Area = ½*b*c*Sin(A)
b = 25 cm
c = 25 cm
A = 32°
Area = ½*25*25*Sin(32)
Area = 165.59977
Area ≈ 165.6 cm² (nearest tenth)
I have to solve the equation:
[tex] |4 \sqrt{2} - 6 | + |2 \sqrt{10} - 6| [/tex]
The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:
[tex]4 \sqrt{2} + 2 \sqrt{10} + 12[/tex]
The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:
[tex] |4 \sqrt{2} - 6 + (2 \sqrt{10} - 6 | = \\ = |4 \sqrt{2} - 6 + 2 \sqrt{10} + 6 | = \\ = 4 \sqrt{2} + 2 \sqrt{10}[/tex]
But this wasn't in the answers either.
After I checked, the correct answer was:
[tex]2 \sqrt{10} - 4 \sqrt{2} [/tex]
So I was wondering where does the minus come from?
It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know.
Think back to the definition of absolute value:
• If x ≥ 0, then |x| = x.
• If x < 0, then |x| = -x.
In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.
This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.
In this case,
|4√2 - 6| = -(4√2 - 6) = 6 - 4√2
because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:
4√2 = √16 √2 = √32
6 = √36
and √32 < √36 because 32 < 36.
Similarly,
|2√10 - 6| = 2√10 - 6
because
2√10 = √4 √10 = √40
6 = √36
So ultimately,
|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2
A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement
Answer:
AUB= {1,2,3,5,6,7,9}
AnB={1,2,3}
if f(x)= 10 – 2x and g(x) = 6x - 5, then (f+g)(x) =
Answer:
4x +5
Step-by-step explanation:
f(x)= 10 – 2x
g(x) = 6x - 5
(f+g)(x) =10 – 2x + 6x - 5
Combine like terms
= 4x +5
Answer:
( f + g )( x ) = 4 x + 5
Step-by-step explanation:
f ( x ) = 10 - 2 x
g ( x ) = 6 x - 5
( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )
= 10 - 2x + 6 x - 5
combine like terms
= 2 x + 6 x + 10 - 5
= 4 x + 5
