Enter the correct answer in the box.
What is the factored form of this expression?
64x^3 - 125
Write all factors in standard form.
Answers
9514 1404 393
Answer:
(4x -5)(16x² +20x +25)
Step-by-step explanation:
The factoring of the difference of cubes has a standard form:
a³ -b³ = (a -b)(a² +ab +b²)
Here, your knowledge of the cubes of small integers tells you that ...
64 = 4³
125 = 5³
So, in the above, we have ...
a = 4x, b = 5
and the factored form is ...
(4x -5)(16x² +20x +25)
Related Questions
Patty measured a house and its lot and made a scale drawing. In real life, the front patio is 14 meters wide. It is 2 cm wide in the drawing. 1 cm is equal to how many meters?
Answers
How do you write 6.5 × 10^-1 in standard form?
Answers
If it was a positive 1 it would be 65
4(2x-3)=52
Solve please sends fast
Answers
Answer:
[tex]\boxed {x = 8}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]4(2x - 3) = 52[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]2x - 3 = \frac{54}{4}[/tex]
[tex]2x - 3 = 13[/tex]
-Add both sides by [tex]3[/tex]:
[tex]2x - 3 + 3 = 13 + 3[/tex]
[tex]2x = 16[/tex]
-Then, divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} = \frac{16}{2}[/tex]
[tex]\boxed {x = 8}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]8[/tex].
John buys two ties that each cost $19.99 he also buys a pair of dress pants that were originally $64 but a discounted by 30% more over he has a coupon for $10 off a purchase of $50 or more purchase finally sales tax is 6% in his state how much did John pay for the ties and pants
Answers
Answer:
Cost of ties and pants = $52.5
Step-by-step explanation:
Total cost of ties = $19.99
cost of dress pants = $64, discountted by 30%
discount on dress pants = 30% of 64 = 0.3 × 64 = $19.2
∴ Discounted price of dress pants = 64 - 19.2 = $44.8
Total cost of ties and dress pants = 19.99 + 44.8 = $64.79
Now, let us apply the coupon
coupon = $10 off every purchase of $50 or more
Purchase amount = $64.79 ; therefore coupon applies.
Applying coupon
Purchase amount = 64.79 - 10 = $54.79
sale tax = 6% or purchase price
sale tax = 6% × 54.79
sale tax = 0.06 × 54.79 = $3.29
∴ Final cost of ties and dress pants = 54.79 - 3.29 = $52.5
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?
Answers
Answer:
C) y − 5 = −(x − 2)
Step-by-step explanation:
HELP PLEASEEEEEE!!!!
Answers
Cis the answer or 3 min per day
Answer:
c by 3 minutes a day your answer is c
14.) George is designing a pool that will be 34 feet long. He plans to make
a scale drawing of the pool by letting 1/4 inch represent 1 foot. How long
should the line representing the length of the pool in the diagram be?
Answers
Answer:
I believe the answer is 8.5 inches long
Step-by-step explanation:
we have to find out how long 1/4 × 34 is, since each 1/4 represents one of the 34 feet of the pools length.
34×.25 = 8.5
Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?
Answers
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Now, we know percentage accuracy is given by :
[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
Hence, this is the required solution.
Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!
Answers
Answer:
[tex]\boxed { x > -1}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]8x - 9 > - 17[/tex]
-Add [tex]9[/tex] to both sides:
[tex]8x - 9 + 9 > -17 + 9[/tex]
[tex]8x > -8[/tex]
-Divide both sides by [tex]8[/tex]:
[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]
[tex]\boxed { x > -1}[/tex]
-The number line (graphed):
help me please :)))))
Answers
Answer:
p=2/3 mn
p/n=2/3 m(
(3)p/n=2/3(3)m
3p/n=2m
3p/2n=2m/2
3p/2n=m (letter B)
Tamara was worried about her six-year-old dog, Suze, so she
took her to three different veterinarians. Each vet told her the
approximate age of her dog in dog years based on Suze's
health. Tamara graphed her dog's age in dog years and
included the three vets' approximations at age 6.
Do
you
think this graph is a function?
Answers
Answer: Yes ido
Step-by-step explanation:
A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.
Answers
Answer: The cost will be same for 6 hours.
Step-by-step explanation:
Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.
Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.
Let x = Number of hours
y = Total cost
Then, Total cost (in $) for first company (y) = 22+3x
Total cost (in $) for second company (y) = 17.50+3.75x
So required system of equations :
y = 22+3x
y= 17.50+3.75x
When the cost will be the same,
22+3x = 17.50+3.75x
⇒ 3x - 3.75x = 17.50- 22
⇒ - 0.75x = -4.5
⇒ x =6 [Divide both sides by -0.75]
Hence, the cost will be same for 6 hours.
(28÷4)+3+(10-8)x 5 please try to help asap
Answers
Answer:
20
Step-by-step explanation:
7 + 3 + 2 x 5
7 + 3 + 10
= 20
or if that x is a variable then —
(28/4)+3+(10-8)x5
= 7+3+2x+5
= 10 + 10x
What does Direct & Inverse variation mean?
Answers
Answer: In direct variation, as one number increases, so does the other. This is also called direct proportion: they're the same thing. ... In inverse variation, it's exactly the opposite: as one number increases, the other decreases. This is also called inverse proportion.
Step-by-step explanation:
Step-by-step explanation: Direct variation is the relationship between two variables such that the variables have a constant ratio, k, were k ≠ 0.
If we call our variables a and b, we can use the
following formulas to represent direct variation.
[tex]\frac{a}{b} = k[/tex] or [tex]b = ka[/tex]
Inverse variation is also a relationship between two variables but the difference is that as one variable increases, the other variable decreases.
Suppose that our variables are g and h.
As g increases, h will decrease or as g decreases, y will increase.
A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?
Answers
Answer:
8 tablespoons of shortening
Step-by-step explanation:
mathhhh
EQUATION:
1. If the venue needs to sell 86 tickets to break even, then how much money have they invested
in the concert?
2. The venue has a maximum capacity of 200 people. If it sells out, how much revenue will the
concert earn?
3. Describe how you know that this is a proportional relationship.
4. What does the ordered pair (0,0) represent in this situation?
5. What does the ordered pair (6,204) represent in this situation?
OManeuvering the Middle LLC, 2017
Answers
Answer:
124
Step-by-step explanation:
Help I’m so confused
Answers
Answer:
a
Step-by-step explanation:
90 minutes=1 and a half hour
hour=60 min
explanation:
liz and mike both started at 4:15 pm.
mike stopped 90 minutes later. if liz stopped half an hour less than mike, then that means she stopped 60 minutes later. this is because half an hour is 30 and 90-30= 60.
therefore, we would add 60 minutes (or 1 hour because 60 minutes= 1 hour) to when she started, which is 4:15 pm.
4:15 pm + 1 hour = 5:15 pm
Please answer quickly!
Find the equation of the line.
Y=__x + __
Answers
Answer:
y = 3x + 3
Step-by-step explanation:
Using slope intercept form: y = mx + b
where m is the slope(rise over run/change in y over change in x), and b is the y intercept(point where x is 0). We can derive the equation by simply using our mathmatical principles of slope and y intercept. Because our y intercept is where x is 0. Our y intercept is 3 since x is 0 when y is 3 because it touches the axis. Since y is 6 when x is one.
y = mx + b
6 = m(1) + 3
-3 -3
_________
3 = m
_________
m = 3
_________
An m of 3 means that you rise 3 every 1 run or 3y every 1x.
Therefore, our equation in slope intercept is:
y = 3x + 3
A magic carpet is made with three colors of yarn. The ratio of each color in the carpet is shown below: 10 parts gold yarn 7 parts bronze yarn 3 parts silver yarn The magic carpet is made with a total of 150 meters of yarn. How much silver yarn is in the magic carpet?
Answers
Answer:
There are 22.5 meters of silver yarn
Step-by-step explanation:
Gold yarn : bronze yarn : silver yarn
10 : 7 : 3
Gold yarn = 10
bronze yarn = 7
silver yarn = 3
Total ratio = 20
Total meters = 150 meters
How much silver yarn is in the magic carpet?
Quantity of silver yarn in the carpet = silver yarn ratio / Total ratio × total meters of yarn
= 3 / 20 × 150
= 450 / 20
= 22.5 meters
There are 22.5 meters of silver yarn
Bronze yarn = bronze yarn ratio / Total ratio × total meters of yarn
= 7 / 20 × 150
= 1,050 / 20
= 52.5 meters
Bronze yarn = 52.5 meters
Quantity of gold yarn in the carpet = gold yarn ratio / Total ratio × total meters of yarn
= 10 / 20 × 150
= 1500 / 20
= 75 meters
Gold yarn = 75 meters
1. What is AC?
AC = 6
AC = 24
AC = 8
AC = 16
Answers
Answer:
AC = 24
Step-by-step explanation:
If you subtract C - A, you get
16 - (-8) = 16 + 8 = 24
Answer:
AC=24
Step-by-step explanation:
how do you solve X+17=-12
Answers
Answer:
Subtract 17 from -12, you sould get x= -29
Step-by-step explanation:
You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?
Answers
Answer:
Your pay at the end of the these two weeks will be $1,375
Step-by-step explanation:
In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.
In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:
20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550
In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:
30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825
Then your salary at the end of these two weeks is calculated by:
Payment of the first week + Payment of the second week
$550 + $825 = $1,375
Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:
hours= number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars= number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 carsThen your salary at the end of these two weeks is calculated by:
50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375
Note that either way you get the same result.
Your pay at the end of the these two weeks will be $1,375
(-2,7)(0,-3) write the equation that goes through the points
Answers
-10/-2
Slope is
5
Answer
Y=5x-3
Which correctly explains how to estimate 55 percent of 64? Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as One-fourth. So, One-fourth of 60 is 15. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as One-third. So, One-third of 70 is 23.3. Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as One-fifth. So, One-fifth of 60 is 12. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as One-half. So, One-half of 60 is 30.
Answers
Answer:
D
Step-by-step explanation:
Write the Scientific Notation for 0.000315
Answers
Answer:
3.15 10^-4
Step-by-step explanation:
Answer:
3.15 × 10 to the power of -4Step-by-step explanation:
Hope this helps! <3
C.B. Clothing ordered sweaters at a wholesale cost of $20 each. The store marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the sweater didn't sell, the store reduced the selling price by 20 percent. After how many monthly price reductions did the price dip below the wholesale cost?
Answers
Answer:
2 months
Step-by-step explanation:
The selling price of the sweater = 0.5 x $20 = $30
For every month that the sweater doesn't sell, price is reduced by 20% = 0.2 x $30 = $6
After the first month, price is reduced by $30 - $6 = $24
After the second month, price is reduced by $24 - $6 = $18
Answer: 2 months
Step-by-step explanation: daddy long legs is smart
PLEASE ANSWER
Select the correct answer.
Caroline rewrote a quadratic equation in vertex form by completing the square, but her work has errors.
Identify the first error in her work.
A.
She incorrectly factored out the value of a.
B.
She subtracted the wrong value to maintain balance after completing the square.
C.
She incorrectly combined the constant terms.
D.
She squared the wrong value when completing the square.
Answers
Answer:She incorrectly factored out the value of a.
Step-by-step explanation:
In solving a quadratic equation by completing the square method, the value a is not factored out. Rather, the steps involved are:
Divide through all the terms by a
Move the term c/a to the right had side
Complete the square on both sides using the value of b/2
Obtain the values of x
Answer: B. She subtracted the wrong value to maintain balance after completing the square.
The distribution of annual profit at a chain of stores was approximately normal with mean \mu = \$66{,}000μ=$66,000mu, equals, dollar sign, 66, comma, 000 and standard deviation \sigma = \$21{,}000σ=$21,000sigma, equals, dollar sign, 21, comma, 000. The executives conducted an audit of the stores with the lowest 20\%20%20, percent of profits. What is closest to the maximum annual profit at a store where the executives conducted an audit?
Answers
Answer:
The closest to the maximum profit is [tex]x = \$ 83682[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$66,000[/tex]
The standard deviation is [tex]\sigma = \$ 21000[/tex]
The percentage of profit is 20%
Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated as follows
[tex]P(X > x ) = 0.20[/tex]
=> [tex]P(X > x ) = P(\frac{X -x}{\sigma } > \frac{x -66000}{21000} ) = 0.20[/tex]
From the z-table the z-score for 0.20 is
[tex]z-score = 0.842[/tex]
So
[tex]\frac{x -66000}{21000} = 0.842[/tex]
=> [tex]x = \$ 83682[/tex]
Answer:
48,000
Step-by-step explanation:
what is 11/12 plus (-7/12)? simplest form
Answers
Answer:
1/2
Step-by-step explanation:
11/12 + (-7/12) have the same denominator so you can leave it as is.
11/12+(-7/12) is the same as 11/12-7/12 which is equal to 6/12 which can be simplified to 1/2
WORK OUT:
NO SILLY ANSWERS OR I WILL REPORT!
Answers
Answer:
1
Step-by-step explanation:
Any number raised to the power of 0 equals to 1
Step-by-step explanation:
Hey there!
Given;
[tex] {7}^{0} [/tex]
The answer would be one (1).
Reason: Anything to the power "0" is 1.
So, 7^0 is 1.
Hope it helps...