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Lynna [10]
3 years ago
10

(6x 7)(6x-7) determine each product

Mathematics
1 answer:
Drupady [299]3 years ago
5 0
(6x7) = 47
(6x-7) = -42 -- This is because you are multiplying two differently signed numbers, the product will be negative.
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NEED ANSWERS ASAP
NARA [144]
The answer is 54 pi in^3. All you have to do is multiply 3x3, then multiply that by 6 and you get the answer 54.
5 0
3 years ago
A line passes through (−1, 7) and (2, 10).
Murljashka [212]
The formula is y=mx+b
To get the slope or m, use this formula
(the second y minus the first y)/(the second x minus the first x)
Now set it up.
(10-7)/(2--1)
3/3=slope is 1.
y=1x+b

Insert one of the points for x and y.
i will do (-1,7)
7=1(-1)+b
7=-1+b
8=b
Insert this into the final equation:
y=1x+8

Try it out. If you're not sure, try both points. If it works, then you set it up correctly.
6 0
3 years ago
Read 2 more answers
The minibus runs at 16 miles to a gallon of diesel. Diesel costs £1.43 per litre. There are 4.55 litres to a gallon.
melomori [17]

Answer: it will cost £78.0672 to travel the 192 miles to Brighton.

Step-by-step explanation:

The minibus runs at 16 miles to a gallon of diesel. If there are 4.55 litres to a gallon and diesel costs £1.43 per litre, it means that the cost of a gallon of diesel would be

4.55 × 1.43 = £6.5056

This means that the cost of running 16 miles is £6.5056

Therefore, the amount that it will cost to travel the 192 miles to Brighton would be

(192 × 6.5056)/16 = £78.0672

7 0
3 years ago
Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

18+3m+3n=0

3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

7 0
3 years ago
Dora buys one package each of 1- pound, 2- pound, and 4-pound packages if ground beef to make hamburgers. How many 1/4-pound ham
Alisiya [41]
82. Dora bought one package of each 1-pound pork, 2-pound pork and 4-pound pork. Thus, she got a total of: => 1 pound + 2 pounds + 4 pounds = 7 pounds of pork. Question: How many ¼ pound of hamburger she can make then with this given number of pork in pounds. => ¼ = 1 / 4 = .25 Now, let’s divide 7 pounds by .25 pounds => 7 / .25 = 28 Thus, She can make 28 hamburgers in all.
7 0
3 years ago
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