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3 years ago

Given f(x)=1/3(4-x)2, what is the value of f(16)

Mathematics

1 answer:

lidiya [134]3 years ago

5 0

Answer: The value is 3

Work: 16f=1/3(-12)^2 16f=1/3•12^2 16f=1/3•144 16f=48

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What 5 consecutive odd numbers equal 200

dimulka [17.4K]

Answer:

{36, 38, 40, 42, 44}

Step-by-step explanation:

You are implying that you are adding up 5 consecutive numbers, and should use the word "add" or the word "sum."

"The sum of 5 consecutive odd numbers is 200" leads to:

x + (x+2) + (x+4) + (x+6) + (x+8) = 200. Note how each number is 2 more than the number preceding it. In this way you can guarantee that all of the 5 numbers are odd.

Summing up, we get 5x + 20 = 200, or 5x = 180.

Dividing both sides by 5, we get x = 36.

Then the 5 consecutive integers are

{36, 38, 40, 42, 44}. These add up to 200.

Unfortunately, these are consecutive EVEN numbers, not odd numbers.

Please ensure that you have copied down this problem correctly.

5 0

3 years ago

Graph in comments

Xelga [282]

it is going to take 18 miles in 1 hour

3 0

2 years ago

someone, please help me asap, that would be great, offering 15 points, and please do not attach a link for the answer, thanks.

algol13

Pretty sure the answer is 288

7 0

2 years ago

The product of two consecutive odd integers is 143 find their sum

Alexus [3.1K]

11*13=143
11+13=24
The sum of the two consecutive odd integers is 24

5 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.

Fantom [35]

Hello again! So we will be using the pythagorean theorem ( $leg^2+leg^2=hypotenuse^2$ ) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.

Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

$17^2+z^2=19^2$

Solve the exponents to get $289+z^2=361$

Subtract 289 on each side to get $z^2=72$

Lastly, square root each side of the equation and your answer should be $z= \sqrt{72}$ (To get more accurate answers, you shouldn't round until the end of the problem)

Nextly, we will need to subtract $\sqrt{72}$ from 31. And since there are 2 triangles, you'll need to multiply $\sqrt{72}$ by 2.

$x=31- \sqrt{72} *2 \\ x=14.0$

In short, x = 14.0

5 0

3 years ago