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3 years ago

13

(3x−2

formula">+(2x−4 $)^{2}$ =3
please solve

2 answers:

bazaltina [42]3 years ago

8 0

Infinite solutions (extra characters)

Tpy6a [65]3 years ago

7 0

Question: (3x-2)² + (2x-4)² = 3

Answer:

When squaring things, we are just multiplying it by itself (a² = a x a). When squaring brackets, it’s the same rule:

Therefore:

(3x-2)² = (3x-2)(3x-2)
(2x-4)² = (2x-4)(2x-4)

And using this skill we get:

(3x-2)(3x-2) + (2x-4)(2x-4) = 3

Using FOIL:

9x²-6x-6x+4 + 4x²-8x-8x+16 = 3

Simplify:

13x²-28x+20 = 3

Take -20 off from both sides:

13x²-28x = -17

There’s your answer!

I hope this made sense, if you have any questions or you think I made a mistake somewhere please let me know!

:)

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PLEASE HELP ASAP I WILL MARK BRAINLIEST!!

Mariulka [41]

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4 0

3 years ago

Read 2 more answers

The mean age of 9 women in an office is 27 years old. The mean age of 7 men in an office is 25 years old. What is the mean age (

marta [7]

Answer:

26 years

Step-by-step explanation:

Given:

The mean age of 9 women = 27 years old

The mean age of 7 men = 25 years old

Question asked:

What is the mean age (nearest year) of all the people in the office?

solution:

By using, mean = sum of observations divided by number of entities

The mean age of 9 women = 27 years old

$\frac{sum of ages}{number of women}$ = $27$

$Sum of ages of women = 27 \times9 = 243\\$ $years$

The mean age of 7 men = 25 years old

$\frac{sum of ages}{number of men}$ = $25$

$sum of ages of men = 25 \times7 = 175$

Total sum of ages of men and women in the office = 243 + 175

= 418 years

Total number of people in the office = 9 women + 7 men = 16

The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office

= $\frac{418}{16} = 26.125$

Therefore, the mean age (nearest year) of all the people in the office = 26 years

6 0

3 years ago

How to solve x/3 + 4 = -2

r-ruslan [8.4K]

Answer:

x=−18

Step-by-step explanation:

Let's solve your equation step-by-step.

x

3

+4=−2

Step 1: Simplify both sides of the equation.

1

3

x+4=−2

Step 2: Subtract 4 from both sides.

1

3

x+4−4=−2−4

1

3

x=−6

Step 3: Multiply both sides by 3.

3*(

1

3

x)=(3)*(−6)

x=−18

5 0

2 years ago

Read 2 more answers

Find mFE<br> A) 52°<br> C) 76°<br> B) 93°<br> D) 112°

mixer [17]

Answer:

76 degrees

Step-by-step explanation:

GE = 180 since it is a straight line

GE = GR + FE

180 = 7x+6 +6x-8

Combine like terms

180 = 13x-2

Add 2 to each side

182 = 13x

Divide by 13

182/13 = 13x/13

14 =x

We want FE

FE = 6x-8

FE = 6(14) -8

=84 -8

=76

3 0

2 years ago

Dmitry [639]

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory $=\frac{1}{4} x$

Remaining money $= x - \frac{1}{4} x =\frac{3}{4} x$

Money used to pay bills $=\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x$

Money still left over = $3,000

Total money earned in December $= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{5}{8} x+ 3,000$

$\therefore x- \frac{5}{8} x=3,000$

$\therefore \frac{8x-5x}{8} =3,000$

$\therefore \frac{3x}{8} =3,000$

$\therefore x =3,000\times \frac {8}{3}$

$\therefore x =1,000\times 8$

$\therefore x =\$8,000$

Thus, total money earned in December is $8,000.

3 0

2 years ago