Factor completely. (x^2 – 4)(x^2 + 6x + 9)
This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.
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Explanation:
x^2-4 factors to (x-2)(x+2) after using the difference of squares rule
x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule
So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)
We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2
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Side notes:
Difference of squares rule is a^2 - b^2 = (a-b)(a+b)The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2what is the value of (3/4)³
Answer:
27/64 or 0.421875
Step-by-step explanation:
= 3^3 / 4^3
= 27 / 64
I hope this helps
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
We cube the 3 (3^3),which makes 27 and cube the 4(4^3), which makes 64
A shop sold 14 white shirts, 24 pink shirts, and 28 blue shirts, what is the radio of The number of pink shirt soul to the number of blue shirt sold?
A: 1 to 6
B: 4 to 11
C: 6 to 7
D: 6 to 13
Answer: Your Answer is C, hope this helps!
Step-by-step explanation:
If y varies directly with x and y= 12 when x= 16, what is the value of x when y= 5?
Answer:
[tex]x = 6 \frac{2}{3} [/tex]
Step-by-step explanation:
Since y varies directly with x,
y= kx, where k is a constant.
① Find the value of the constant k.
When y=12, x= 16,
12= k(16)
16k= 12
[tex]k = \frac{12}{16} \\ k = \frac{3}{4} [/tex]
②Substitute the value of k back into the equation:
[tex]y = \frac{3}{4} x[/tex]
③ Find value of x when y=5.
When y=5,
[tex]5 = \frac{3}{4} x \\ x = 5 \div \frac{3}{4} \\ x = 5 \times \frac{4}{3} \\ x = \frac{20}{3} \\ x = 6 \frac{2}{3}[/tex]
Factor the following expression :x3 + x2
Answer:
x^2(x+1)
Plz let me know if im wrong!!!
Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.
Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars.
HELP PLS EJDHWJDHJ
Answers:
c=0.25p
p=4c
c=.25p
c=1/4p
Hope I' not too late -w-'
the slope of the line represented by 3x-5y=-15
Answer:
i think its 3/5
sorry if im wrong:(
Step-by-step explanation:
Answer:
Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).
Step-by-step explanation:
Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).
1)
Bill and John competed in the “Shot Put" event in their school's track
meet. Bill threw the shot 21 feet and 6 inches, while John threw the
shot 17 feet and 4 inches. How much greater was Bill's throw than
John's?
Answer:
4 feet and 2 inches
Step-by-step explanation:
First, find the difference between the number of feet in their throws:
21 - 17
= 4 feet
Since Bill's throw had 6 inches while John had 4 inches, subtract 2 inches from the 4 feet that we calculated earlier.
This gets us 4 feet and 2 inches, since there are 12 inches in a foot.
So, Bill's throw was 4 feet and 2 inches greater than John's.
how do you know that the repeating decimal 0.555... can be written as a fraction
Answer:
555/1000
Step-by-step explanation:
I guess it is the answer.
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answer: 0.43
Step-by-step explanation: divide
if x=3 which shape has a greater perimeter
Answer:
Quadrilaterial 1
Step-by-step explanation:
pls complete it (picture)
Answer:
The answer to your question is 24cm.
Step-by-step explanation:
6 multiplyed by 8 equals 48, and 48 divided by 2 equals 24.
Hope I helped. Have a spectacular day! ;)
What is the image of (0,–8) after a reflection over the line y = –2?
3. Which relation is a function?
(–6)² – (–7)²
I need a step by step process.
does anyone know this? I dont get it
Answer:
1st one
Step-by-step explanation:
If angle 1 and angle 2 are vertical angles then angle 1 and angle 2 are congruent
Answer:
[tex]\large\boxed{\textsf{True.}}[/tex]
Step-by-step explanation:
[tex]\textsf{This is a True or False question, where we are asked if vertical angles are equal.}[/tex]
[tex]\Large\underline{\textsf{What are Vertical Angles?}}[/tex]
[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed by}[/tex]
[tex]\textsf{the same, straight lines.}[/tex]
[tex]\textsf{Because they're formed by the same lines and are opposite from each other, vertical}[/tex]
[tex]\textsf{angles are congruent to each other.}[/tex]
[tex]\boxed{\mathtt{\angle 1 \cong \angle2}}[/tex]
Write a linear function f with f(5)=7 and F(-2)=0.
Answer:
f(x)=x+2
Step-by-step explanation:
Slope= (7-0)/(5-(-2)) = 7/7 = 1
Y-intercept= 2
substitute the slope, 1, for m and the y-intercept, 2, for b to get:
f(x)=x+2
hope this helps!
The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2
f(5) = 7
This means when x = 5 , y = 7
(5, 7)
f(-2) = 0
(-2, 0)
This implies when x = -2 , y = 0
Using the linear function formula,
y = mx + b
where
m = slope
b = y-intercept
Therefore, the function can be represented as follows:
m = 0 - 7 / -2 - 5 = -7 / -7 = 1
Therefore,
y = x + b
0 = -2 + b
b = 2
The function in relation to x can be represented as follows:
f(x) = x + 2
read more: https://brainly.com/question/13578480?referrer=searchResults
What is 5(x+8)=7x+38
Simplify your answer as much as possible
Answer:
5*(x+8)-(7*x+38)=0
5 • (x + 8) - (7x + 38) = 0
2 - 2x = -2 • (x - 1)
-2 • (x - 1) = 0
-2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
x-1 = 0
x = 1
a tube is stretching
Answer:
h
Step-by-step explanation:
Is this the correct answer?
Answer:
yes
Step-by-step explanation:
Pls helpppp I want good grades
I believe the answer is 2.7 but I'm not sure...
Answer:
2 7/9
Step-by-step explanation:
I think this is the answer. when you have a -- its adds. So i added the 3 to the -2/9.
What is the image point of (1,0) after a translation right 1 unit and up 4 units?
Answer:
(2,4)
Step-by-step explanation:
hope this helps :)
Answer:
(1,0) + 4 up and + 1 right
The answer is (2,4)
greatest common factor.
32+44
Answer:
I'm pretty sure its 76
hope this helps
Town A has 14,700 residents and covers 42 square miles. Town B has 58,000 residents and covers 116 square miles. Which comparison is accurate?
Town A has 150 more residents per square mile than town B.
Town B has 150 more residents per square mile than town A.
Town A has 585 more residents per square mile than town B.
Town B has 585 more residents per square mile than town A.
Answer: b town b has 150 more residents per square mile than town A
Step-by-step explanation:
Answer:
Town B has 150 more residents per square mile than town A.
Step-by-step explanation:
I got it right on edge 2021 :) I hope its right and that you have an amazing day you amazing person :DD
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
CLICK ON PHOTO FOR QUESTION. ALOT OF POINTS GIVEN :)
Answer:
I'll answer ur next Question for sure =D
Step-by-step explanation:
What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7? 3 9 27 63
Answer:
9
Step-by-step explanation:
i just did my test and i checked and it was right
Answer:
The answer is 9
Step-by-step explanation:
Just did the test and I got 100%
The sales tax in Texas is 8.25% and an item costs $400. How much is
the tax?
Answer:
Step-by-step explanation:
400*8.25%= $33 tax
Mr. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plus $0.55 per mile driven, which expression shows the amount he will pay if m=the number of miles driven?
A. 75m+.55
B. 75+0.55m
Answer:
B. [tex]75 + 0.55m[/tex]
Step-by-step explanation:
We know that the constant is $75. You only pay this once.
Whereas $0.55 you pay per mile. Which means that you will multiply 0.55 by how many miles you drive.
This means that the equation will look like:
[tex]75 + 0.55m[/tex]
Hope this helps! :)