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Ksenya-84 [330]
2 years ago
14

Can anyone help my friend out? And I will check over your Answer!

Mathematics
1 answer:
Stells [14]2 years ago
8 0

Answer:

Hi!

1.Well, let's try simplifying 4:18 so we can compare.

If we divide 4:18 by 2, we get 2:9  

We can see that 2:9 =/= 2:12

Thus, the two are not equivalent ratios.

2. 5:20 and 15:60 are equivalent, 5:20 x 3 to both numbers is 15:60

Therefore, It is equivalent.

3. 17 times 4 is 68 and 3 times 4 is 12. 17:3 and 68:12 are equivalent because you can times and divide them into each other

4. He read for 180 minutes.  

You can find that because every time he practices math for five minutes, he reads for 20, and 45 is 5, 9 times. So you multiply 20 by 9.

5. If he eats 3 slices in 2 minutes, he will have eaten 15 pieces in 10 minutes.

6. For this one, I hope my calculations are correct, but I do NOT think August made the correct recipe using the correct ratio.

If #6 is wrong, I sincerely Apologize, but I know for a fact #5 is Correct.

Hope this helps! If you need anymore help Let me know i'd be happy to help you!

~~~PicklePoppers~~~

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To make y the subject, we must move everything to one side and y on the other.

  x + 2y = 6\\2y = 6 -x\\2y = -x + 6\\y =-\frac{1}{2} x + 3

Good day and I hoped that helped!

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Find k if (x+1) 2x^3+kx^2+1
Viktor [21]
<h2>Question:</h2>

Find k if (x+1) is a factor of 2x³ + kx² + 1

<h2>Answer:</h2>

k = 1

<h2>Step-by-step explanation:</h2>

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

<em>This is because;</em>

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

<em><u>From the question</u></em>

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

3 0
2 years ago
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