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spin [16.1K]
3 years ago
11

Which value of y makes the inequality 3y^2 +2(y-5)>8 true?

Mathematics
1 answer:
Alex3 years ago
4 0

Answer: D

Step-by-step explanation:

A) 3*0^2+2(0-5)>8

-10>8 -> not true

B) 3*(-1)^2+2(-1-5)>8

3*1+2*(-6)>8

3- 12>8

-9> 8 -> not true

C) 3*(-2)^2+2(-2-5)>8

3*4+2*(-7)>8

12-14>8

-2> 8 -> not true

D) ) 3*(-3)^2+2(-3-5)>8

3*9+2*(-8)>8

27-16>8

11> 8 -> true

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What is the value of x?
spin [16.1K]

It is a 45-45 - 90 triangle (as the right angle is split in half for the outer one)

In this case, x is in the hypotenuse. The side lengths follow the 1, 1, √2 formula.

If  1 = 3, then:

3 x √2 = Answer

Answer = 3√2

hope this helps

5 0
3 years ago
Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n.<br><br> thanks.
azamat

Answer: i think  (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

6 0
3 years ago
Need the answer fast question is on the problem will mark brainliest<br> NO LINKS PLEASE
Fed [463]
It’s the last one & the second one
6 0
3 years ago
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5 0
3 years ago
If a car averages 21.8 miles per gallon, how many miles will it travel on 16 gallons of gas?
asambeis [7]

Answer: 348.8 miles on 16 gallons of gas

Step-by-step explanation:

Make the following proportion:

\frac{21.8 miles}{1 gallon} = \frac{x miles}{16 gallons}

Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.

Use basic algebraic skills and you should get 348.8 miles.

7 0
2 years ago
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