Factor the polynomial.
7x^2 + 68xy - 20y^2

Answers

Answer 1

Answer: we notice that it must be a product of 2 different thingummies
so we have
( x+/- y)( x+-/ y)
we need to determine the spaces ad signs
we know that the signs are different since the end result is negative
so fidn the first one
7
factor
7=1 times 7
so we have
(1x+/- y)(7x+/- y)
factor end
-20=-1 and 20 or -2 and 10 or -4 and 5
we want the middle term to be positive so the bigger term must be positive

try the ones closest first
(x-4y)(7x+5y)
multiply out the middles and outers
5xy-28xy is not 68xy
try -2 and 10
(x+10y)(7x-2y)
multily middles and outers
-2xy and 70xy=68xy
correct

answer is (x+10y)(7x-2y)

Related Questions

Dimitri determined that the ordered pair (2, –2) is a solution to the system of linear equations 7x + 9y = –4 and 5x – 2y = 6 as shown.He mixed up the coordinates of the ordered pair when substituting it into the equations 7x + 9y = –4 and 5x – 2y = 6.He checked the equation 7x + 9y = –4 first when he should have checked first.He made a mistake in his calculations when substituting the ordered pair into the equation 7x + 9y = –4 and simplifying.He made a mistake in his calculations when substituting the ordered pair into the equation 5x – 2y = 6 and simplifying.
hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment
If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x + 12). Identify an equivalent expression.A.) x + 12 B.) 2x − 60 C.) 5x + 60 D.)2x − 60
What is the intersection of plane WZVS and plane STUV?
9(n+3)=7n-3 and steps please

What is marthian 15% of 60?

Answers

dunnow what marthian
percent means parts ot of 100
15%=15/100=0.15

'of' means multpily
15% of 60 means
0.15 times 60=9
answer=9

15% of 60

15/100 = .15

.15*60 = 9

Answer: 9

What is x the second term in thr geometric series 1/4+×+1/36+1/108+...?

Answers

The second term of this given geometric series is $(1)/(12)$

What is geometric series?

A geometric sequence's finite or infinite terms are added together to form a geometric series. The geometric series that corresponds to the geometric sequence a, ar, ar2,..., arn-1,... is a + ar + ar2 +..., arn-1 Clearly, "series" means "sum." The phrase "geometric series" refers specifically to the total of words with a common ratio between every adjacent pair of them. Finite and infinite geometric series are both possible.

Given a geometric series 1/4 + × + 1/36 + 1/108 +.....

In this series first term(a) = 1/4

second term(a₂) = x

Third term (a₃) = 1/36

ratio(r) = a₄ /a₃

ratio (r) = 1/3

The formula for the nth term of a geometric series is aₙ = arⁿ⁻¹ .....(1)

put these values in equation (1)

a₂ = $(1)/(4) *(1)/(3)$

a₂ = 1/12

Hence, the second term for the geometric series 1/4+×+1/36+1/108+... is 1/12.

learn more about geometric series Here:

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formula for geometric series
an=a1(r)^n-1

a2=1/4(1/3)^1
a2=1/12

Whats 1426 times 357

Answers

Answer: 509,082

Step-by-step explanation:

How do i solve this2/3 divided by 8/7 =

Answers

2/3 / 8/7 flip the second fraction and multiply straight across

2/3 x 7/8 2 x 7 = 14

3 x 8 = 24 so you have 14/24 if you need to simplify, since both numerator and denominator are even so divide by 2. Which gives you 7/12

Hope this helps you :)

To solve that you're gonna have to multiply 2/3 by the reciprocal of 8/7 which is 7/8.

2/3 * 7/8 = (2 * 7)/(3 * 8)

14/24 reduces to 7/12 or .5833

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.If 75 pairs of jeans are sold, what is the company’s profit?

Answers

To answer the problem above we apply the given. If x is represented by the number of jeans sold then we only need to substitute x. 20x - 50 = 20(75) - 50 = 1500 - 50 = 1450. Th profit of the company is 1450,

Answer:

B: $1450

Step-by-step explanation:

a delivery truck traveled 324 miles on 18 gallons of gas how far can be traveled on 41 gallons of gas?

Answers

324 miles divided by 18 gallons = 18 miles per gallon (mpg)

Therefore, 41 gallons x 18 mpg = 738

Final answer:

The delivery truck can travel 738 miles on 41 gallons of gas, assuming it maintains the same fuel efficiency. This is calculated by first finding the mileage per gallon (miles driven divided by gallons used), then multiplying that by the number of gallons.

Explanation:

The situation given can be solved by using unit rate or sometimes referred to as proportion. The delivery truck traveled 324 miles on 18 gallons of gas. We'll first find out the mileage per gallon and then use that to compute how far it could go on 41 gallons.

First, we divide the total miles by the total gallons to get miles per gallon: 324 miles / 18 gallons = 18 miles per gallon.
Then, multiplies the miles per gallon by the quantity of gallons you want to know: 18 miles per gallon * 41 gallons = 738 miles.

So, a delivery truck that traveled 324 miles on 18 gallons of gas could travel 738 miles on 41 gallons of gas, assuming the truck maintains the same fuel efficiency.