The complete factorization of 21a² + 28ab is 7a(3a + 4b)
Factorization is an arithmetic operation used in resolving an expression into factors in which when the factors are being multiplied together, the original expression can be derived. They produce factors that can be divided into the original expression.
Given that:
= 21a² + 28ab
here, we will look for a factor that if divide in both 21 and 28, there won't be any remainder. The factor is 7;
So, we have:
= 7(3a² + 4ab)
= 7a(3a + 4b)
Therefore, the complete factorization of 21a² + 28ab is 7a(3a + 4b)
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Evaluate x^3– y^2 if x = 2 and y= 3/4
Answer:
2³-3/4²
Step-by-step explanation:
Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x Using the law of logarithms blogbn = , we have that f(g(x)) = . We also need to show that is also equal to x. g(f(x)) = log10(10x) Using the law of logarithms logbbn = , which means that g(f(x)) = x. Therefore, f and g are inverses of each other.
Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x
The answer is given below in the image.
What are the two laws of logarithms?The laws apply to logarithms of any base but the identical base needs to be used at some point in a calculation. This regulation tells us a way to add logarithms collectively. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. The same base, in this situation 10, is used throughout the calculation.
What is the fundamental law of logarithms?A logarithm of more than a few raised to a power is identical to the power expanded via the logarithm of the wide variety to the same base. that is, loga(mn) = nlogam.
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0.2, 0.19, 3/5
Greatest to least
Answer:
3/5 , .2, .19
Step-by-step explanation:
.2= 20/100
.19 = .19/100
3/5 = .6= 60/100
A cliff diver leaps from a 100-foot cliff into the Pacific. The diver’s height above the water is modeled by the function P(x) = –16x 2 + 10x + 100, where x is time in seconds. During which interval is the diver at least halfway down
Answer:
2.1 < x <2.5
Step-by-step explanation:
i’m taking the test rn i’m not sure if it’s correct i’ll lyk!
Answer:
B on Edge
Step-by-step explanation:
If 11 boxes of chocolates contain 220 chocolates in total, calculate how many chocolates 5 box of chocolates will contain
chocolates
Answer:100 chocolates
Step-by-step explanation:
20 chocolate in each box so 20 time 5 is 100 so 20 time 11 is 220
Which angle pairs are supplementary? Check all that
apply.
Angle 1 and angle 2
Angle 4 and angle 3
Angle 4 and angle 5
Angle 7 and angle 5
Angle 3 and angle 6
Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.
We need to identify which angle pairs are supplementary.
What are supplementary angles?Supplementary angles are two angles with a sum of 180°.
Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.
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Can someone please help me?
Answer:
2/5 so 4/10
THE ANSWER IS A
Answer:
4/10
Step-by-step explanation:
get a common denominator (which is 10) then subtract
An insurance company offers two types of insurance: health insurance and life insurance. Let X be the annual claim on the health insurance and Y be the annual claim on the life insurance. The joint density function of X and Y is: Find the probability that the total claims exceed 0.5 but is less than 2 and the claim on the life insurance is less than 1.5.
The joint density equation is missing in the question. The equation is [tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Probability is 0.59
Step-by-step explanation:
We have
x -- denotes the annual claim health insurance
y -- denotes the annual claim life insurance
And joint density of x and y is given to us
[tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Event that the claim exceeds 0.5 but less than 2 can be written as 0.5≤ x+y ≤2
and claim of life insurance less than 1.5 can be written as 0 ≤ y ≤ 1.5
Required probability
= P( 0.5≤ x+y ≤2 ∩ 0 ≤ y ≤ 1.5 )
Lets plot this, to find the common region
For common region
when 0≤ x ≤ 0.5, then 0.5 ≤ y ≤ 1.5 ---- for region I
when 0.5≤ x ≤ 1, then 0 ≤ y ≤ 2-x ---- for region II
The required probability
= [tex]\int_{0}^{0.5} \int_{0.5-x}^{1.5}2x^3 dy dx+\int_{0.5}^{1} \int_{0}^{2-x}2x^3 dy dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3[\int_{0.5-x}^{1.5}dy] dx+\int_{0.5}^{1} 2x^3[\int_{0}^{2-x}dy] dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3(1.5-0.5+x) dx+\int_{0.5}^{1} 2x^3 (2-x) dx[/tex]
= [tex]\int_{0}^{0.5}2x^3 dx+\int_{0}^{0.5}2x^4 dx+\int_{0.5}^{1}4x^3 dx-\int_{0.5}^{1}2x^4[/tex]
= [tex][\frac{2x^4}{4}]_0^{0.5}+[\frac{2x^5}{5}]_0^{0.5}+[\frac{4x^4}{4}]_{0.5}^1-[\frac{2x^5}{5}]_{0.5}^1[/tex]
= [tex]$\frac{1}{32}+\frac{1}{80}+\frac{1}{16}-\frac{31}{20}$[/tex]
= 19/32
=0.59
How many planes appear in this figure? Name three points that are collinear. Are points a, b, c, and d coplanar? Explain. At what does and ca interest db
What is the momentum of a 15 kg tire rolling down a hill at 3 m/s?
5 kg. m/s
O 18 kg . m/s
O 45 kg. m/s
60 kg . m/s
Answer:
45ans
Step-by-step explanation:
p=?
m=15kg
v=3m/s
now,
p=m*v
p=15*3
p=45 ans
What number is 344% of 107
Answer:
368.08
So I turn the numbers into fractions so 344% would be 344/100 because percentages are out of 100. Since it is 344% OF 107, you'd put 107 on the bottom of the fraction and the answer will go on top. I multiply the IS with the OF (IS is the top number and OF is the bottom) so you'd multiply 107x344 to get 36808. Since 344 is a percent (out of 100) you have to do divide the answer by 100 to get 368.08
I hope that helps!
If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and I will message you to continue the game. Don't play if you are not going to continue.
Answer:
35 counting yourself.........34 not
Jasmine is a structural engineer. She designs the lift hill of a roller coaster that models the equation y=x3, where y is the height and x is the length from the start of the lift hill. Using this model, how far from the start of the lift hill does the ride reach a height of 343 meters?
Answer:
the anwser is 7 buddy hope it helps
3. Fill in the blanks so that the answer to this number sentence is correct: 2ab
Answer:
where's the question or the picture of the question
what is equal to
[tex] \frac{( {2}^{3} ) {}^{3} }{( {3}^{3} ) {}^{3} } [/tex]
A.
[tex]( \frac{2}{3} ) {}^{6} [/tex]
B.
[tex]( \frac{2}{3} ) {}^{9} [/tex]
C.
[tex]( - 6) { }^{6} [/tex]
D.
[tex]( - 6) {}^{9} [/tex]
Answer:
B.
Step-by-step explanation:
−3−(−7) Select the point on the number line to plot the answer. https://learning.k12.com/d2l/le/enhancedSequenceViewer/811794?url=https%3A%2F%2Fe02711f5-1353-40b6-af9b-349f7ff846bd.sequences.api.brightspace.com%2F811794%2Factivity%2F122669191%3FfilterOnDatesAndDepth%3D1
Answer:
The answer is 4
Step-by-step explanation:
Like the other person said
Number lines are used to represent numbers at regular and constant intervals
The point on the number line that represents -3 - (-7) is 4
The expression is given as:
-3 - (-7)
Open the bracket
-3 + 7
Evaluate the expression
4
Hence, the point on the number line that represents -3 - (-7) is 4
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help um. Order the set of numbers from least to greatest
5/2 , √5 , 2¾ , 2.71 (bar)
am not really sure but i guess that is what I know.
Answer:
[tex]2\frac{3}{4}, 2.71, \sqrt{5}, \frac{5}{2}[/tex]
Step-by-step explanation:
Just convert them all to a decimal, I'm too lazy to write it all out...
what kind of number is 0 and why? if you know the others that'd be great!!
Answer:
0 is a rational, whole, integer and real number.
Step-by-step explanation:
0 is a rational, whole, integer and real number.
What is 28 rounded to the nearest 10
What is 28 rounded to the nearest 10?
Answer:28 rounded to the nearest 10 is 30.
what is the solution to 8t+5= 6t+1 ?
(variables on both sides
Answer:
8t+5=6t+1
2t+5=1
2t=-4
t=-2
Step-by-step explanation:
find the value of each variable. write your answers in simplest radical form
Answer:
y=3.364
x=4
Step-by-step explanation:
hope this helps
7. Marisa has $26 in her purse. She pays $5 for
lunch Which
expression represents this situation? A. -26 -
(-5) B.-26 + 5 C. 26 + (-5) D. 26 + 5
Answer: I think the answer is C
Answer:
yea i agree with kassidy
2 – 1 + 5 x 4 x 11 Solve with PEMDAS
Answer:
221
Step-by-step explanation:
2-1+5*4*11
2-1+20*11
2-1+220
1+220
221
Factorize 6p2 - 7p + 2
Answer:
(2p - 1)(3p - 2)
Mrs. Santiago drinks 9 diet cokes in 3 days. If there are 24 diet cokes in a case, how many cases of diet coke
should she buy for the month of September? (*hint, you need to know how many days in September. You need
to figure out how many cokes she will need AND then how many cases that would be.)
Answer:
9=3 and 24=x 9x =24*3=8
The perimeter of a playing field for a certain sport is 190 ft. The field is a rectangle, and the length is 43 ft longer than the width. Find the dimensions
Answer:
2(L+w) = 190ft (Perimeter)
L + W = 95ft (190 divided by 2)
L = W + 43ft (Given)
W + 43 + W = 95ft
2W + 43 = 95ft
2W = 52ft
W = 26ft
L = 26ft + 43 = 69ft
Answer: The feild is 69ft by 26ft
Hope this helps!!!
- Jarrett Lane
Which of the following is equal to 20x + 8y - 80?
A. 3x + y - 10
B. 5x+2y-20
c. 4(5x + 2y - 20)
D. 4(5x + 2y – 40)
E. 4(5x + 8y - 20)
Factor 8x3 − 343.
A) (2x − 7)(4x2 + 14x + 49)
B) (2x − 7)(4x2 + 28x + 49)
C) (2x − 7)(4x2 −14x + 49)
D) (2x − 7)(4x2 − 28x + 49)
Which expression is equivalent to 27x3 + 125?
A) (3x – 5)(9x2 – 15x + 25)
B) (3x – 5)(9x2 + 15x – 25)
C) (3x + 5)(9x2 – 15x + 25)
D) (3x + 5)(9x2 + 15x – 25)
please explain if you could, thank you
Answer:
A) (2x − 7) (4x² + 14x + 49)
C) (3x + 5) (9x² − 15x + 25)
Step-by-step explanation:
Sums and differences of cubes factor as:
a³ + b³ = (a + b) (a² − ab + b²)
a³ − b³ = (a − b) (a² + ab + b²)
8x³ − 343 is a difference of cubes.
(2x)³ − 7³
(2x − 7) (4x² + 14x + 49)
27x³ + 125 is a sum of cubes.
(3x)³ + 5³
(3x + 5) (9x² − 15x + 25)
Please answer fast will make you brainlest
Answer:
if i'm correct its the second one
Step-by-step explanation:
5(5z - 7), when z = -1
Answer:
5(5(-1)-7)
-25-35
-60
Step-by-step explanation:
Answer: -60
Step-by-step explanation:
Image!!