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3 years ago

What number must you add to complete the square x^2+4x=12

Mathematics

1 answer:

sattari [20]3 years ago

6 0

Um idk sorry homie idk how to works this app to

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Simplify the fraction and state the excluded value(s).

stira [4]

Answer:

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Factoring

Calculus

Discontinuities

Removable (Holes)
Jump (Piece-wise functions)
Infinite (Asymptotes)

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}$

Step 2: Simplify

[Frac - Numerator] Factor quadratic: $\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}$
[Frac - Denominator] Factor GCF: $\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}$
[Frac] Divide/Simplify: $\displaystyle \frac{(7x - 10)}{5}, x \neq -2$

When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

8 0

3 years ago

What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cu

stepan [7]

1) 5.33
2) 6.67
3) 7.72
4)10.67

5 0

3 years ago

Nick's telephone company charges $0.07 per minute for weekend calls and $0.08 per minute for calls made on weekdays. This month

DerKrebs [107]

So pretend weekend calls is x and weekday calls are y.

the formulas is x + y = 610
                        0.07x + 0.08y = 48.05

So, x = 610 - y

Then, substitute x into the second equation.

0.07(610 - y) + 0.08y = 48.05
42.7 - 0.07y + 0.08y = 48.05
                        0.01y = 5.35
                               y = 535

Then substitute y into the first equation.

x + 535 = 610
          x = 75

Just to be sure, substitute x and y into the second equation.

0.07(75) + 0.08(535) = 48.05
             5.25 + 42.80 = 48.05
                        48.05 = 48.05

So, on weekends, he used 75 minutes.
On weekdays, he used 535 minutes.

6 0

3 years ago

What is the volu ne of the cylinder? Use 3.14 for it, and round your answer to the nearest tenth.

bearhunter [10]

Answer:

942

Step-by-step explanation:

If 5 is the radius and 12 is the height, and the formula of a cylinder is V=πr^2h, we can substitute.

V=π(5)^2(12)

5^2 is 25, and 25 times 12 is 300.

300π, and that would be approximately 942.

942

4 0

3 years ago

If the retail price of an item is $65, and the markup is 50%, find the wholesale price.

Montano1993 [528]

Answer:

32.5

Step-by-step explanation:

% over 100 = is/ of

50% over 100 = x / 65

cross multiply

3250/ 100x = 32.5

8 0

3 years ago