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3 years ago

Solve for x in the equation

Mathematics

1 answer:

kati45 [8]3 years ago

4 0

Answer:

$\large\boxed{x=6\pm3\sqrt{10}}$

Step-by-step explanation:

$x^2-12x+36=90\\\\x^2-2(x)(6)+6^2=90\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-6)^2=90\iff x-6=\pm\sqrt{90}\\\\x-6=\pm\sqrt{9\cdot10}\\\\x-6=\pm\sqrt9\cdot\sqrt{10}\\\\x-6=\pm3\sqrt{10}\qquad\text{add 6 to both sides}\\\\x=6\pm3\sqrt{10}$

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A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as

qwelly [4]

Answer:

138 pairs

Step-by-step explanation:

The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:

$blue\ pleated = 5 * gray\ pleated$ (eq1)

The number of gray non-pleated is twice the number of blue non-pleated slacks, so:

$blue\ nonpleated = 2 * gray\ nonpleated$ (eq2)

The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:

$blue\ pleated + blue\ nonpleated = 333$ (eq3)

$gray\ pleated + gray\ nonpleated = 225$ (eq4)

If we add (eq1) and (eq2), we have:

$blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated$ (eq5)

Using (eq3) and (eq4) in (eq5), we have:

$333 = 2*225 + 3*gray\ pleated$

$gray\ pleated = 117/3 = 39$

From (eq1), we have:

$blue\ pleated = 5*39 = 195$

From (eq3), we have:

$blue\ nonpleated = 333 - 195 = 138$

3 0

3 years ago

2/3 + 5/6 in the simplest form

asambeis [7]

Here is your answer:

2×2=4
3×2=6
+
5×1=5
6×1=6

4+5=9

9÷3=3
6÷3=2

Your answer is...
=3/2

6 0

3 years ago

1. Joey has 38 bottles. A carton holds 6 bottles. How many cartons does she need?

8_murik_8 [283]

Answer:

she needs 7 cartons for the bottles and 9 cartons for the eggs

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3 years ago

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Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, w

Serhud [2]

Answer:

2 ft

Step-by-step explanation:

$\dfrac{7}{4} = \dfrac{3.5}{x}$

$7x = 4 \times 3.5$

$x = 2$

Answer: 2 ft

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3 years ago

Simplify the rational expressions. State any excluded values. X^2-4/2-x

tatiyna

Answer:

-x-2; x $\neq$ 2

Step-by-step explanation:

$\frac{x^2-4}{2-x}$ -->

$\frac{(x-2)(x+2)}{(2-x)}$ -->

-(x+2); x CAN'T equal 2, because the denominator of the original fraction would be 0, which would make the term undefined.

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3 years ago