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3 years ago

Solve |3x| - 3= 3 - 6x for x

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:

x = 2 (doesn’t work in the equation)

3(2) -3 = 3 - 6(2)

X = 2/3 (works in the equation

3 (2/3) - 3 = 3 - 6(2/3)

2-3 = 3 - 4

- 1 = -1

Step-by-step explanation:

|3x| - 3 = 3 - 6x

|3x| = 3 + 3 - 6x

|3x| = 6 - 6x

|3x| = -6 + 6x

3x = - 6 + 6x or 3x = 6 - 6x

6 = 6x - 3x

6 = 3x

x = 2

3x = 6 - 6x

3x + 6x = 6

9x = 6

x = 6/9

x = 2/3

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In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x - 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scal

Svetllana [295]

Answer:

x = 6, y = 4

Step-by-step explanation:

The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.

DH = HF ⇒ x + 2 = 2y
GH = HE ⇒ 4x - 3 = 5y + 1

x + 2 = 2y,

4x - 3 = 5y + 1

x = 2y - 2,

4(2y - 2) - 3 = 5y + 1

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2 years ago

What is the area of the composite figure? 7 yds; 12 yds. 18 yds.

Tju [1.3M]

For the square its 18x12 which is 216
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3 years ago

Read 2 more answers

Evaluate. 9!/7! A.) 63 B.) 72 C.) 81

podryga [215]

ANSWER

B.) 72

EXPLANATION

Recall the expansion for the factorial notation:

$n! = n \times (n - 1) \times (n - 2) \times ...3 \times 2 \times 1$

We want to simplify

$\frac{9!}{7!}$

Let us expand the numerator up to 7! while maintaining the denominator.

$\implies \: \frac{9 \times 8 \times 7!}{7!}$

When we cancel out the common factors,we obtain:

$\implies \: \frac{9 \times 8 \times 1}{1}$

This simplifies to

$\implies \: \frac{72}{1} = 72$

The correct answer is B.

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3 years ago

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time

Nana76 [90]

Answer:

Jenny save 4 times $\$ 250$ for the month

Step-by-step explanation:

Given Jenny has saved $\$3,800$ over the last 12 months.

She saved either $\$250$ or $\$350$ a month.

Let the number of months to save $\$250$ be x

Let the number of months to save $\$350$ be y

Total period is 12 month.

$x+y=12 \ \ \ \ equation\ 1$

Jenny has saved $3,800 over the last 12 months.

$250x+350y=3800$

Dividing both side from 50 we get,

$\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}$

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Now Multiplying equation 1 by 5 we get,

$5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8$

Substituting the value of y in equation 1 we get,

$x+y=12\\x+8=12\\x=12-8\\x=4$

∴ Jenny save 4 Months of $\$ 250$ and 8 Months of $\$ 350$ in a 12 month duration

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3 years ago

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SOLVE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

damaskus [11]

Answer:

j=-7

Step-by-step explanation:

-5j-7=-4j

-5j+4j=7

-j=7

j=-7

4 0

3 years ago

Read 2 more answers

Solve |3x| - 3= 3 - 6x for x​

Solve |3x| - 3= 3 - 6x for x