Answer:
[tex]\huge\boxed{x(a-x)(a+x)^2}[/tex]
Step-by-step explanation:
In order to factor this expression, our goal is to write the expression in a way that we can factor out a term.
With the expression [tex]a^3 x - x^4 + a^2 x^2 - ax^3[/tex], we need to note an exponent rule.
[tex]a^{b+c} = a^b a^c[/tex]
Step 1:We can use this to get each term of this expression to have a term of [tex]x[/tex] so we can factor it out.
Let's look at each term and get it so that we can factor out an x term.
[tex]a^3 x = x a^3[/tex] (Commutative Property)[tex]x^4 = xx^3[/tex] (Since [tex]x^3 \cdot x^1 = x^4[/tex])[tex]a^2 x^2 = a^2 \cdot xx[/tex] (Since [tex]x^2 = x \cdot x[/tex])[tex]ax^3 = a \cdot xx^2[/tex] (Since [tex]x^3 = x^2 \cdot x^1[/tex]With this, our equation becomes [tex](xa^3) - (xx^3) + (xxa^2) - (xx^2a)[/tex].
We now can factor out the common term x.
[tex]x(a^3 - x^3 + xa^2 - x^2a)[/tex]
Step 2:From here, we can now factor [tex]a^3 - x^3 + xa^2 - x^2 a[/tex]
Rearrange the equation: [tex]a^3 +xa^2 - x^3 - x^2a[/tex] Factor out [tex]a^2[/tex] from [tex]a^3 + xa^2[/tex] which comes out to be [tex]a^2(a+x)[/tex] Factor out [tex]-x^2[/tex] from [tex]-x^3 - x^2a[/tex] which comes out to be [tex]-x^2(x+a)[/tex] We now have [tex]a^2(a+x) - x^2(x+a)[/tex] Factor out the common term, [tex](a+x)[/tex], which comes out to be [tex](a+x)(a^2 - x^2)[/tex] Factor [tex]-x^2+a^2[/tex] into [tex](a+x)(a-x)[/tex] We now have [tex](a+x) (a+x) (a-x)[/tex], which is simplified to [tex](a-x)(a+x)^2[/tex] Finalizing:Since we have just factored [tex]a^3 - x^3 + xa^2 - x^2 a[/tex] and factored x out of [tex]a^3 x - x^4 + a^2 x^2 - ax^3[/tex] in the first couple of steps, we need to have it as a factorization of x.
[tex]x(a-x)(a+x)^2[/tex]
Hope this helped!
What is 2.286
Rounded to the nearest hundredth
Answer:
2.29
Step-by-step explanation:
2.286
If the italicized number is 5 or above round the underlined number up. If it is 4 or less let it go
TRICK/ TIP
(5 or above, give it a shove. 4 or below, let it go.)
Simplify: 3x + 2(x - 1)
Answer:
5x -2
Step-by-step explanation:
literally did this in my head but
2 * x = 2x
2 * -1 = -2
2x + 3x = 5x -2
Answer:
5x-2
Step-by-step explanation:
3x+2(x-1)
3x+2x-2
5x-2
Use the divisibility rules to determine which of the following numbers 528 is divisible by. (Check all that apply.)
6
3
5
7
10
2
11
9
4
A plot of corn is 15 3/8 yards wide. It is 15 8/15 times as long as it is wide. How long is the plot of corn? PLEASE HELP I'M BEING TIMED!!! LOTS OF POINTS TO THE PEOPLE WHO SOLVE! FIRST ANSWER GETS BRAINLIEST!!!
Step-by-step explanation:
Width = 15.375 yards
Length = 15.375 * 15.5333 = 238.825 yards.
The plot of corn is 238.825 yards long.
Answer:
238.825 yards.
Step-by-step explanation:
The length of the cornfield is:
[tex]15 \frac{3}{8} \cdot 15 \frac{8}{15}[/tex]
[tex]= \frac{123}{8} \cdot \frac{233}{15}[/tex]
[tex]= \frac{28659}{120}[/tex]
[tex]= 238.825 \ yards[/tex]
Hope this helped!
A client pays for a moving company to move 25 boxes. If the moving company charges $12.50 per box and a base fee of $199.95 to each client, what is the total amount the client pays?
$212.45
$ 212.45
$237.45
$ 237.45
$312.50
$ 312.50
$512.45
Answer:
$512.45
Step-by-step explanation:
12.50x25 would equal 312.5 then you add that to 199.95 and you would get $512.45
Priya has a recipe for banana bread. She uses
7 1/2
cups of flour to make 3 loaves of banana bread.
Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.
Which of these equations represents the relationship between b and f?
1. B=2/5 f
2.B=9/2 f
3.B=2/9 f
4.B=5/2 f
Answer:
i think its B, Hope u ace it sorry if its wrong i truly tried my best
The table defines a function.
What is the domain of the function?
Question 2 options:
Year
Change in height (inches)
Joshua
Table
please answer w/ explanation !
write an equation in slope-intercept form when given the information:
slope = 0, goes through the point (-3 , 3)
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
We are given the slope of the line and a point on the line.
So, we can utilize the point-slope form, given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
We know that the slope is 0. So, m = 0.
And we will let (-3, 3) be (x₁, y₁). Hence, by subsitution:
[tex]y-(3)=0(x-(-3))[/tex]
Simplify:
[tex]y-3=0[/tex]
We can add 3 to both sides. Hence, our equation is:
[tex]y=3[/tex]
As you would've expect, since it had a slope of 0, it is a horizontal line.
Can someone help on this other question ^W^
Answer:
z=12
Step-by-step explanation:
z/4-2=1
z/4=2+1
z/4=3
z=3×4
z=12
Answer:
[tex]\huge\boxed{z=12}[/tex]
Step-by-step explanation:
[tex]\dfrac{z}{4}-2=1\qquad|\text{add 2 to both sides}\\\\\dfrac{z}{4}-2+2=1+2\\\\\dfrac{z}{4}=3\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{z}{4\!\!\!\!\diagup}=4\cdot3\\\\z=12[/tex]
Simplify 7(9x - 3) - 4(2x - 1)
34x
55x - 17
55x - 25
Answer:
the answer is the second one, 55x-17
Step-by-step explanation:
So what you do is you open the parenthesis and evaluate and simplify the expression.
Here is the simplification: (7)(9x)+(7)(−3)+(−4)(2x)+(−4)(−1)
=63x+−21+−8x+4
And reduce that further and you get 55x-17.
List the values shown on the number line
Answer:
-4, -2.8, 0.5, 1.3, 3
Step-by-step explanation:
Answer:
-4, -2.8, 0.5, 3.1
Step-by-step explanation:
PLEASE HELPPPPP!!!!!!!!!!!!
Answer:D
Step-by-step explanation:
I just did the quiz and passed !
help me pls and get right answer okay
what is the slope and y-intercept for y= 2x - 3
Answer:
Slope: 2
y-intercept: 3
Rearrange each of the following in slope/y-intercept form, y = mx + b.
a) 3x−6y+8=0
b)−2x−5y+30=0
Ok im almost done with this assignment pls help with this question
Answer: 9 grandchildren
Step-by-step explanation: If she give out 452.25 in total in 50.25 increments, you need to find out how many times she was able to do that. Divide 452.25 by 50.25 which equals 9
Answer:
The answer is 9 grandchildren.
All you have to do is divide $425.25 by $50.25.
Hope this helps! Have an awesome day!
I Will Mark Brainliest!!
The table below shows the combination of dry pre-packaged mix and water to make concrete. The mix says for every 1 gallon of water is equal to 8lbs. Using the information provided in the table, complete the remaining parts of the table.
Fill in the table with the lowest terms fractions.
To enter a mixed number, write it in the format 5 1/2. Note that there is a space between the whole number and fraction.
Answer:
Dry Mix | Water | Total
64 | 8 | ?
75 | 10 | ?
| | ?
4 1/2 | 14/25 | ?
Step-by-step explanation:
im not done
Answer:
i dont know
Step-by-step explanation:
10x- (- 4 + 7x
answer if you can :)
Answer:
17x + 4
Step-by-step explanation:
The -(- would be turned into a positive due to the rule of two negatives makes a positive. You wouldn't add the 4 into either of the numbers with a variable, you would only add the 10x and 7x.
Answer:
3x+4
Step-by-step explanation:
Apply the distributive property to get 10x - -4-(7x). Now we can turn the two negatives into a positive to get 10x+4-7x. Now, subtract 7x from 10x to get 3x. This will leave you with 3x+4.
Solve: 3(x- 2)= 18.
X=
Answer:
x = 8
Step-by-step explanation:
3(x-2)=18
3x-6=18
3x=24
x=24/3
x=8
Answer:
x = 8
Step-by-step explanation:
3 (x - 2) = 18
3x - 6 = 18
18 + 6 = 24
3x = 24
x =
a collection of coins consist of nickels, dimes, and quarters. there are 3 fewer quarters than nickels and six more dimes than quarters. how many of each kind of coin is in the collection if the total value of the collection is $4.35?
Using a system of equations, there are 9, 12 and 15 quarters, nickels and dimes respectively.
Creating a system of equations thus :
n + d + q = 36 - - - (1)n = q + 3 - - - (2).d = q + 6 - - - (3)Substitute for n and q
(q+3) + (q+6) + q = 36
3q + 9 = 36
3q = 36 - 9
q = 27 ÷ 3
q = 9 quarters
n = 9 + 3 = 12 nickels
d = 9 + 6 = 15 dimes
Hence, there are 9, 12 and 15 quarters, nickels and dimes respectively.
Learn more : https://brainly.com/question/25629067
PLZ
The unit price of a T-shirt is $6.50 when purchased in a pack of 3.
A single shirt costs $8. What is the least amount of money Sandy can
spend to get 4 T-shirts?
Answer:
$14.50 I think
cuz u add 6.50+ $8.00=$14.50
2) Orion buys 3 books for a total of $25.50. He pays $8 plus sales tax for each book. He wants
to know how much the sales tax is for one book.
) Which quantity is unknown?
.) the sales tax for each book
Let t equal the sales tax Orion pays for each book. Write an equation that
represents the situation.
3
8
25.50
t
Answer: I think the Sales tax is 0.5 because 0.5 X 3 is 1.5, He paid $24 in total for the books so you would do 24 + 1.5 and get 25.50, So it would have to be 0.5 sales tax for one book. Sorry about my English.
Answer: the equation would be 3(t + 8) = 25.50 :)
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.
Answer:
2.28 divide 9.5
=0.24
Step-by-step explanation:
if im not wrong it is 24cents each inch $2.28÷9.5=0.24
Ronelle asked 100 students to choose their favorite subject from among mathematics, history, and art. She found that 22 students chose mathematics, 26 history, and the rest art. What percent of students chose art?
22%
26%
48%
52%
Answer:
❌22%
❌26%
❌48%
✔️52%
I need help! What does this dot mean? I forgot.
Answer:
Times/Multiply
Step-by-step explanation:
please help me with this , probably easy for others but i don't got energy to do it : ')
Answer:
I believe its B
Step-by-step explanation:
A package of 4 pairs of insulated socks costs $33.16. What is the unit price of the pairs of socks? PLEase help!!!!!!!!!!!!!!!!!!!!!1
If five pounds of oranges cost $5.50, what is the unit rate? pls help
If trapezoid
Q
R
S
T
is translated
4
units left and
7
units up, what is the length of segment
T
′
S
′
?
3
units
3 units
4
units
4 units
6
units
6 units
12
units
78 fl oz = _c = _oz
pls help me and its in us coustemery units
Answer:78 fl oz= 9.75c =81.12 oz
Step-by-step explanation: