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Shkiper50 [21]
3 years ago
7

If y varies directly as x, and y = 20 when x = 4. Find y when x = 2.

Mathematics
2 answers:
noname [10]3 years ago
8 0

Answer:

10

Step-by-step explanation:

If you have to divide x by two, and y varies directly toward x, y also has to divide by two. 20/2 is 10.

Andrews [41]3 years ago
8 0

Answer: 10

Step-by-step explanation:

Given ; y = 20

x = 4

since y varies directly as x,

y = kx

where k is the value of proportionality.

Input the values

20 = k (4)

20 = k4

dividing both sides by 4

20/4 =k

k = 5

To find the value of y when x = 2,

y = kx

y = 5 (2)

y = 10

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Step-by-step explanation:

7 0
2 years ago
Given f (x) = x2 + 4x + 5, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?
meriva

By evaluating the quadratic function, we will see that the differential quotient is:

\frac{f(2 + h) - f(2)}{h} = 8 + h

<h3>How to get (f(2 + h) - f(2))/h?</h3>

Here we have the quadratic function:

f(x) = x^2 + 4x + 5

Evaluating the quadratic equation we get:

\frac{f(2 + h) - f(2)}{h}

So we need to replace the x-variable by "2 + h" and "2" respectively.

Replacing the function in the differential quotient:

\frac{(2 + h)^2 + 4*(2 + h) + 5 - (2)^2 - 4*2 - 5}{h} \\\\\frac{4 + 2*2h + h^2 + 8 + 4h  - 4 - 8 }{h} \\\\\frac{ 2*2h + h^2  + 4h   }{h} = \frac{8h + h^2}{h}

If we simplify that last fraction, we get:

\frac{8h + h^2}{h} = 8 + h

The third option is the correct one, the differential quotient is equal to 8 + 4.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

8 0
2 years ago
Round 3184.5641 to the nearest hundred
Ede4ka [16]
Find the hundreds place. The digit in it is 1. Now look at the digit directly to the right of it. The digit is 8. If the digit immediately before the digit you want to round is greater than or equal to 5, you round up. 8 > 5, so round up.
The rounded value is 3200.
Hope that helped you.
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3 years ago
Read 2 more answers
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50%. If you divide 28 by 14, (14/28), you’d get 0.5. Move the decimal place two places to the right, and that’s 50% :)
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