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3 years ago

Which two numbers have a sum of 15 and a product of 36

Mathematics

1 answer:

kap26 [50]3 years ago

5 0

Answer: 3 and 12

<u>Step-by-step explanation:</u>

Let x represent one of the numbers and y represent the other number. Then,

Sum: x + y = 15 → y = 15 - x

Product: xy = 36

Use substitution method by replacing "y" with "15 - x" in the second equation, then solve for x:

x(15 - x) = 36

15x - x² = 36

0 = x² - 15x + 36

0 = (x - 3)(x - 12)

0 = x - 3 and 0 = x - 12

x = 3 x = 12

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(x+y)(x+6y) pls help me solve question pls and pls also give explanation if possible

steposvetlana [31]

Step-by-step explanation:

$= (x + y)(x + 6y)$

$= x \times x + x \times 6y + y \times x + y \times 6y$

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2 years ago

Match each equation to the situation it represents. Yin spends 10 hours on homework this week. She spends 5 hours of science hom

cestrela7 [59]

Answer:

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3 years ago

Alicia purchased h half gallons of ice cream for 3.50 each p packages of ice cream cones for 2.50 each she purchased 14 items an

eimsori [14]

Answer:

H + P = 14

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Step-by-step explanation:

Given that

H denotes half gallons of ice cream

P denotes packages of ice cream cones

Now

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And,

3.50H + 2.50P = 43

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H + P = 14

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4 0

3 years ago

What is the additive inverse of 5/11

jok3333 [9.3K]

HERE IS UR ANSWER:-

-5/11

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3 years ago

This table represents a quadratic function with a vertex at (1, 1). What is the

erastova [34]

The average rate of change on the interval (5, 6) is 9. So the correct option is D.

<h3>How to find the average rate of change on the interval?</h3>

Here we want to find the average rate of change of f(x), the function on the table, on the interval (5, 6).

This is just:

$r = \frac{f(6) - f(5)}{6 - 5}$

$f(x) = a*x^2 + b*x + c$

I we look at the table we see that:

$f(1) = 1 = a + b + c$

$f(2) =2 = 4a + 2b + c$

$f(3) = 5 = 9a + 3b + c$

This is a system of equations.

If we subtract the second and first functions, we get:

$2 - 1 = (4a + 2b +c) - (a + b + c)\\1 = 3a + b = a + b + c$

From that we take two relations:

$1 - 3a = b\\2a = c$

Now we can replace these two in the last equations so we get:

$5 = 9a + 3b + c\\\\5 = 9a + 3*(1 - 3a) + 2a\\\\5 = 9a + 3 - 9a + 2a\\\\5 = 3 + 2a\\\\5 - 3 = 2a\\\\2 = 2a\\\\a = 1$

Now that we know the value of a:

$c = 2a = 2*1 = 2\\\\b = 1 - 3a = 1 - 3 = -2$

The quadratic equation is:

$f(x) = x^2 - 2x + 2$

Evaluating this in x = 6 we get:

$f(6) = 6^2 - 2*6 + 2 = 26$

And from the table we know that f(5) = 17, then the average rate of change is:

$r = \frac{f(6) - f(5)}{6 - 5} = \frac{26-17}{1} = 9$

The correct option is D.

If you want to learn more about average rates of change:

brainly.com/question/8728504

#SPJ1

4 0

2 years ago