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Ber [7]
3 years ago
10

Find the LCM of the polynomials. x² - x - 42 x2 + x - 56

Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer:

x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)

Step-by-step explanation:

Factor each equation.

x^2-x-42= (x-7)(x+6)

x^2+x-56= (x-7)(x+8)

The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.

(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.

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The sum of two numbers is 67 and the difference is 13 . What are the numbers? PLEASE HELP IM NEW TO THIS AND WANT MY GRADES TO C
Nikitich [7]

Answer:

The two numbers are 40, and 27.

Explanation:

Since there are only two numbers, with two different aspects, you can just make

a system, and solve.

A sum of two numbers adding up to 67 can be modeled by: x + y = 67.

A difference of those same two numbers being 13 can be modeled by: x – y = 13.

You can add the two equations together to eliminate the y value because the -y and y will cancel out:

x + y = 67.

+ x – y = 13.

And you get: 2x = 80.

Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:

2x = 80

÷2 ÷2

x = 40.

So the first number is 40.

Since we know the first number, we can immediately find the other number by substituting it into the first equation.

x = 40 → x + y = 67

(40) + y = 67

-40. -40

Subtract from both sides to cancel the constant terms.

Then you will get that y or the second number is y = 27.

This is true because 40 + 27 = 67, and 40 - 27 = 13.

6 0
3 years ago
Please HELP!!!!!!!!!!
Dima020 [189]

Answer:

34%

Step-by-step explanation:

From 50 spins 17 was a 1 or a 3.

8 0
3 years ago
Find the product of 3a+5 and 2a^(2)+4a-2
Ilia_Sergeevich [38]
The answer is <span><span><span>6<span>a3</span></span>+<span>22<span>a2</span></span></span>+<span>14a</span></span>−<span>10
My steps:
</span><span><span>(<span><span>3a</span>+5</span>)</span><span>(<span><span><span>2<span>a^2</span></span>+<span>4a</span></span>−2</span>)</span></span><span>=<span><span>(<span><span>3a</span>+5</span>)</span><span>(<span><span><span>2<span>a^2</span></span>+<span>4a</span></span>+<span>−2</span></span>)</span></span></span><span>=<span><span><span><span><span><span><span>(<span>3a</span>)</span><span>(<span>2<span>a^2</span></span>)</span></span>+<span><span>(<span>3a</span>)</span><span>(<span>4a</span>)</span></span></span>+<span><span>(<span>3a</span>)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(5)</span><span>(<span>2<span>a^2</span></span>)</span></span></span>+<span><span>(5)</span><span>(<span>4a</span>)</span></span></span>+<span><span>(5)</span><span>(<span>−2</span>)</span></span></span></span><span>=<span><span><span><span><span><span>6<span>a^3</span></span>+<span>12<span>a^2</span></span></span>−<span>6a</span></span>+<span>10<span>a^2</span></span></span>+<span>20a</span></span>−10</span></span><span>=<span><span><span><span>6<span>a^3</span></span>+<span>22<span>a^2</span></span></span>+<span>14a</span></span>−<span>10</span></span></span>
6 0
3 years ago
Eight friends share 64 tickets to the school carnival. Each friend has the same number of tickets. How many tickets does each fr
Nookie1986 [14]

Answer:

8

Step-by-step explanation:

64 divided by 8 is 8

6 0
3 years ago
Jake and Gloria are running on the track team. Gloria can run twice as many miles as
Tanzania [10]

Answer:

J+2J=12 so 3J=12 so J=4

Step-by-step explanation:

Use J to represent Jake's miles.

We know that Gloria's miles (G) is twice J, so G=2J

We also know that Jake and Gloria together ran 12 miles.

So we know, J+2J=12 or 3J=12   meaning J=4

So Jake runs 4 miles, and since Gloria is two times that she ran 8 miles.

6 0
4 years ago
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