3 years ago

3(x-4)<(4-2) what is the answer

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

5 0

I would suggest downloading Photomath will help with these kinds of problems

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

liberstina [14]

Answer: C) x = 3, (x = 2 is an extraneous solution)

Step-by-step explanation:

$\frac{x}{x-1}$ - $\frac{1}{x-2}$ = $\frac{2x-5}{x^{2}-3x+2}$

$\frac{x}{x-1}$ - $\frac{1}{x-2}$ = $\frac{2x-5}{(x-1)(x-2)}$

Restrictions: Denominator cannot equal zero (x - 1 ≠ 0) and (x - 2 ≠ 0), so x ≠ 1 and x ≠ 2

$(x - 1)(x - 2)\frac{x}{x-1}$ - $(x - 1)(x - 2)\frac{1}{x-2}$ = $(x - 1)(x - 2)\frac{2x-5}{(x-1)(x-2)}$

x(x - 2) - 1(x - 1) = 2x - 5

x² - 2x - x + 1 = 2x - 5

x² - 3x + 1 = 2x - 5

-2x + 5 -2x + 5

x² - 5x + 6 = 0

(x - 2)(x - 3) = 0

x - 2 = 0 x - 3 = 0

x = 2 x = 3

NOTE: x = 2 is an extraneous solution because it is one of the restricted values.

4 0

3 years ago

When the lengths of the sides of a square are increased by 5 cm, the area is increased by 85 square cm. What was the size of the

Nataly [62]

First we will find the square root of the square with the added sides to find the side + 5.
√85 = 9.219
∴ Original side = 9.219 - 5 = 4.219 cm

3 0

3 years ago

Kevin gets and auto loan of $12,000 at 8% annual interest. The terms of his loan state that he has to pay 292.96 each month for

kicyunya [14]

$292.96 \times 48 = 14062.08 - 12000 = 2062.08$

3 0

4 years ago

I have one dozen eggs and I discover hot only 1/3 of the broken and I need use 1/6 how many I have left

zhenek [66]

Answer:

$X=2$

Step-by-step explanation:

From the question we are told that:

Total eggs $n=12$

Broken eggs $n_b=1/3n=4$

Used eggs $n_u=1/6n=2$

Generally the equation for amount of eggs left X is mathematically given by

$12=X+n_b+n_u$

$12=X+4+2$

$X=\frac{12}{6}$

$X=2$

6 0

3 years ago

Which ordered pair is the solution to the system of equations?

grigory [225]

X + y = 4
x - y = -6
--------------add
2x = -2
x = -2/2
x = -1

x + y = 4
-1 + y = 4
y = 4 + 1
y = 5

solution is : (-1,5)

5 0

3 years ago