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Oksana_A [137]
4 years ago
6

How to solve (x^2 -1) -12(x^2-1) +35

Mathematics
1 answer:
DerKrebs [107]4 years ago
3 0

Answer:

- 11x^{2} + 64

Step-by-step explanation:

(x^{2} - 1) - 12 (x^{2} - 1) + 35 = \\x^{2} - 1 - 12x^{2} + 12 + 35 = \\x^{2} - 12x^{2} + 64 = \\- 11x^{2} + 64

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The sum of a positive number and 56 times its reciprocal is equal to its cube. What is the number?
cricket20 [7]

Answer:

2×sqrt(2) = 2.828427125...

Step-by-step explanation:

x = "a positive number"

x + 56/x = x³

x² + 56 = x⁴

x⁴ - x² - 56 = 0

(x² + 7)(x² - 8) = 0

this is true only for

x² = -7

or

x² = 8

x² = -7 would mean that x is an imaginary number. so, that is not a valid solution here.

x² = 8 means

x = sqrt(8) = sqrt(4×2) = 2×sqrt(2) = 2.828427125...

7 0
2 years ago
Velma needs to crate 59 watermelons. If she can fit 7 watermelons in each crate, how many crates does she need?
Mademuasel [1]

Answer:

The answer would be nine

Explanation:

59 divided by 7 is 8 with 3 remaning but all must be included so you have anothr crate for the remaining the and sice 8+1=9. Velma needs 9 crates. Hope this Helps!!

5 0
3 years ago
Debbie used 40% of her flour for cookies. She started with 24 cups; how many cups did Debbie use?
never [62]

Answer:

C. 9.6

Step-by-step explanation:

This can be solved by multiplying 40% and 24. When multiplying with a percent, you have to convert it to a decimal. 40% as a decimal is 0.40. Therefore, you have to do 24 x 0.40.

24 x 0.40 = 9.6

8 0
3 years ago
Read 2 more answers
What is the area of this trapezoid? Enter your answer in the box. Cm² Trapezoid with top base length of 14 centimeters, bottom b
Sonja [21]

Answer: 336 cm²

Step-by-step explanation:

A trapezoid looks like a rectangle with 2 traingles attached to the side, yeah? So imagine cutting off those 2 triangles. In the middle you have a rectangle with the dimensions of 14 cm by 16 cm. The area of that rectagle is 224 cm². By subtracting the top base length from the bottom base length, you get the length of the two triangles. So, it would be 28 cm - 14 cm, giving you 14 cm. There were 2 triangles, so cut that length in half and you get 7 cm for the base of one traingle. To find the area of 1 traingle, you would do 1/2 multiplied by 7 multiplied by 16. But you have 2 triangles. so the 1/2 step isn't needed because if you put the two triangles together, you get a new rectangle. Thus, when you add the area of this new rectangle, you get 112 cm². Add this to the original rectangle, and your final area is 336 cm².

4 0
3 years ago
Read 2 more answers
Complete the table below for the function y = -6x + 4.
natka813 [3]

Answer:

y=34

x=10

Step-by-step explanation:

3 0
3 years ago
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