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makkiz [27]
3 years ago
9

What kind of solution is -4x-4=-7(x+4) ?

Mathematics
2 answers:
natima [27]3 years ago
8 0

~ Simplifying

-4x + -4 = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(4 + x)

-4 + -4x = (4 * -7 + x * -7)

-4 + -4x = (-28 + -7x)

~ Solving

-4 + -4x = -28 + -7x

~ Solving for variable 'x'.

~ Move all terms containing x to the left, all other terms to the right.

~ Add '7x' to each side of the equation.

-4 + -4x + 7x = -28 + -7x + 7x

~ Combine like terms: -4x + 7x = 3x

-4 + 3x = -28 + -7x + 7x

~ Combine like terms: -7x + 7x = 0

-4 + 3x = -28 + 0

-4 + 3x = -28

~ Add '4' to each side of the equation.

-4 + 4 + 3x = -28 + 4

~ Combine like terms: -4 + 4 = 0

0 + 3x = -28 + 4

3x = -28 + 4

~ Combine like terms: -28 + 4 = -24

3x = -24

~ Divide each side by '3'.

x = -8

~ Simplifying

x = -8

Schach [20]3 years ago
7 0
One solution (x=-8)

Work is posted below

Hope this helps comment below for more questions :)

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Answer:

Graph A.

Step-by-step explanation:

Given the inequality: y\leq \dfrac{1}{4}x-3

Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.

Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.

4 0
3 years ago
Anyone knows the answer for this question asap
morpeh [17]

Answer:

10.37

Step-by-step explanation:

find the area of the whole rectangle which is 30 then find the area of the circle which is 19.63 then subtract 30-19.63

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3 years ago
Write an absolute value inequality that
fiasKO [112]

Answer:

All real numbers greater than or equal to -1 and less than or equal to 2

Step-by-step explanation:

Let

A_1 ------> the area of rectangle

A_2 ----> the area of triangle

we know that

\left|A_1-A_2\right|\le 6

<em>Find out the area of rectangle</em>

A_1=4(x+2)=(4x+8)\ units^2

<em>Find out the area of triangle</em>

A_2=(1/2)(4)(5)=10\ units^2

substitute

\left|(4x+8)-10\right|\le 6

Simplify

\left|4x-2\right|\le 6

<em>First case (positive value)</em>

+(4x-2) \leq 6

4x \leq 6+2

4x \leq 8

x \leq 2

<em>Second case (negative value)</em>

-(4x-2) \leq 6

Multiply by -1 both sides

(4x-2) \geq -6

(4x \geq -6+2

4x \geq -4

x \geq -1

therefore

The solution for x is the interval -----> [-1,2]

All real numbers greater than or equal to -1 and less than or equal to 2

8 0
3 years ago
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AVprozaik [17]

Answer:

10

Step-by-step explanation:

Leave the 5 , change division to multiplication and turn the fraction upside down.

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6 0
3 years ago
A bag contains white marbles and yellow marbles, 24 in total. The number of white marbles is 9 less than 2 times the number of y
Zinaida [17]

There are 13 white marbles in the bag.

Step-by-step explanation:

Given,

Total number of marbles = 24

Let,

x represent the number of white marbles.

y represent the number of yellow marbles.

According to given statement;

x+y=24      Eqn 1

x = 2y-9    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(2y-9)+y=24\\2y-9+y=24\\3y=24+9\\3y=33

Dividing both sides by 3

\frac{3y}{3}=\frac{33}{3}\\y=11

Putting y=11 in Eqn 2

x=2(11)-9\\x=22-9\\x=13

There are 13 white marbles in the bag.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/9621364
  • brainly.com/question/9539036

#LearnwithBrainly

4 0
3 years ago
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