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Nonamiya [84]
3 years ago
15

The difference of the square of a number and 16 is equal to 6 times that number. Find the negative solution.

Mathematics
1 answer:
melamori03 [73]3 years ago
4 0

Answer:

The negative solution is -2

Step-by-step explanation:

Let the number be x

x² - 16 = 6x

Equate the equation to zero (0)

x² - 6x -16 = 0

Factorize

x² + 2x -8x - 16 = 0

x(x + 2) -8(x + 2) = 0

Therefore,

(x-8) (x +2) = 0

x -8 = 0         or           x +2 = 0

x = 8             or            x = -2

The negative solution is -2

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A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? Show your reasoning.
snow_lady [41]

Answer:

Step-by-step explanation:

5 gallons  is 1/10 of 50 gallons; this is 10% of capacity.

30 gallons    30/50, or 60%

45 gallons     45/50, or 90%

100 gallons                    200%

5 0
3 years ago
I need the answer please and ty
frosja888 [35]

Answer:

$123

Step-by-step explanation:

(6.75 + 3.50) × 12 = $123

4 0
3 years ago
The blue point already shown on the graph shows the data for Neha. According to the graph, Neha's income is has_______, and she
algol [13]

According to the graph, Neha's income is has_5 thousand dollars per month_, and she has_ 10 dinners out per month_.

<h3>How to complete the blanks?</h3>

Here we want to complete:

According to the graph, Neha's income is has_______, and she has_______.

We know that the blue point on the graph shows Neha's data. The horizontal axis shows the income, and the vertical axis shows the quantity (dinners per month).

Now, if the coordinates of the blue point are (5, 10). This means that her income is 5 thousand dollars per month, and that she has 10 dinners out per month, then:

According to the graph, Neha's income is has_5 thousand dollars per month_, and she has_ 10 dinners out per month_.

If you want to learn more about graphs:

brainly.com/question/19040584

#SPJ1

3 0
2 years ago
Simplify<br><br> Help me please
Reika [66]

Answer:

\frac{-27b^{6}}{c^{18}}

Step-by-step explanation:

first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have -27b^{6}c^{-18}. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=\frac{1}{c^{18}}, plug it in and you get \frac{-27b^{6}}{c^{18}}

6 0
3 years ago
10 Six years ago Jon was one-sixth the age of his mother
Debora [2.8K]

Answer:

Jon is 11 years old

Step-by-step explanation:

We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.

First sentence: "<em>Six years ago Jon was one-sixth the age of his mother</em>."

translates into:

J - 6 = (M - 6) / 6

Second sentence: "<em>in four years time his age doubled and increased </em>

<em>by 10 will match his mother's age</em>."

2 * (J + 4) + 10 = M + 4   which removing parentheses gives: 2 J + 18 = M + 4

We solve for "M" in the first equation

6 (J - 6) = M - 6

6 J - 36 = M - 6

M = 6 J - 30

and now use this result to substitute for M in the second equation

2 J + 18 = (6 J - 30) + 4

and work on solving for J

2 J + 18 = 6 J - 30 + 4

18 + 26 = 6 J - 2 J

44 = 4 J

J = 44 / 4

J = 11

7 0
3 years ago
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