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nydimaria [60]
4 years ago
8

HELP PLEASEEEE

Mathematics
1 answer:
enyata [817]4 years ago
8 0
Answer:
f(8) = 192

Explanation:
f(x) varies directly with x²
This means that:
f(x) = kx²
where k is the constant of proportionality.

Now, we are given that:
f(x) = 75 at x = 5
Substitute to get k as follows:
f(x) = kx²
75 = k(5)²
75 = 25k
k = 3

This means that the equation is:
f(x) = 3x²

Now, to find f(x) at x = 8, all we have to do is substitute with x = 8 in the equation as follows:
f(8) = 3*(8)²
f(8) = 3*64
f(8) = 192

Hope this helps :)
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Over the weekend, Mario bicycled 43 miles. On Sunday he rode 3 miles more than two-thirds of his distance on Saturday. Find the
aleksklad [387]
We can solve this by writing down all of the variables we know. We will call the distance traveled on Saturday, x. The distance traveled on Sunday will be y.

x = distance traveled saturday
y = distance traveled sunday

We are told that on sunday he rode 3 miles more than 2/3 the distance on saturday. We can write a new formula.

y = (2/3)x + 3

We also not the total distance travelled, x + y = 43, now we solve for x.

x + y = 43
x + (2/3)x + 3 = 43
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x = 24 miles

y = (2/3)(24)+3
y = 19 miles

Therefore, Mario biked 24 miles on Saturday and 19 miles on Sunday which gives us the total of 43 miles for the whole weekend.
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Determine the sign of the sum of 14+30.<br> A) positive<br> B) negative<br> C) zero
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Based on the fact that the sides of the rectangle are in the ratio 5:2, the length of each side is 20cm and 8cm.

<h3>What is the length of each side?</h3>

Based on the ratio, we can assume the a value of x for the perimeter to be:

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Find out more on the perimeter of a rectangle at brainly.com/question/18869010

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