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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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Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen

Kryger [21]

Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.

<h3>What is logarithm?</h3>

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

$b = \log_a(c)$

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Erika is working on solving the exponential equation 50^x = 17;

however, she is not quite sure where to start.

The equation is

$50^x = 17\\$

By taking the log both sides

$log_a b = x\\\\a_x = b$

By using the base formula

$log_0 y = \dfrac{logy}{log b}$

So, $log_{50} 17= x\\\\$

$x = \dfrac{log17}{log 50}$

x = 0.7242

Learn more about logarithm here:

brainly.com/question/20835449

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3 0

2 years ago

The fuse are building a new home one of the bedroom closet has an area of 48 square feet and a perimeter of 32 ft what are the l

olya-2409 [2.1K]

Answer: The length is 12 feet and the width is 4 feet.

Step-by-step explanation:

Let L represent the length of the bedroom closet.

Let W represent the width of the bedroom closet..

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of the bedroom closet is 32 ft. This means that

2(L + W) = 32

Dividing through by 2, it becomes

L + W = 32/2

L + W = 16

The area of the bedroom closet is 48 ft². This means that

LW = 48 - - - - - - - -- - - - - - 1

Substituting L = 16 - W into equation 1, it becomes

W(16 - W) = 48

16W - W² = 48

W² - 16W + 48 = 0

W² - 12W - 4W + 48 = 0

W(W - 12) - 4(W - 12) = 0

W - 12 = 0 or W - 4 = 0

W = 12 or W = 4

L = 16 - 4 = 12

3 0

4 years ago

Which method of multiplication is shown below?

Ilya [14]

The method of multiplication shown is (a) Ancient Egyptian Method

<h3>Multiplication</h3>

This involves taking the product of at least two factors which could be numbers, expressions or both

From the method shown, we can see that a factor is multiplied by multiples of 2 (i.e. doubling), till it reaches a maximum

This method is associated with the Egyptian.

Hence, the method of multiplication is (a) Ancient Egyptian Method