2 years ago

Given: -3(2x + 7) = -29 – 4x; Prove: x = 4

Mathematics

1 answer:

sergey [27]2 years ago

8 0

Answer:

See steps below

Step-by-step explanation:

-3(2x+7)=-29-4x

Use the distributive property

-6x-21=-29-4x

Add 21 to each side

-6x=-8-4x

Add 4x to both sides

-2x=-8

Divide by -2

x=4

You might be interested in

When the temperature is 68°F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometer

Musya8 [376]

0.343 km in one second

5 0

2 years ago

Read 2 more answers

5 decenas de millón, 8 centenas de millar

Kay [80]

Answer:

sorry, i do not know

Step-by-step explanation:

8 0

2 years ago

What is the equation of the following line written in slope-intercept form -2/3 and -1/-4? y = -11x - 7 y = -7x + 11 y = -7x - 1

Snowcat [4.5K]

Answer:

$y=-7x-11$

Step-by-step explanation:

Given:

The two points on the line are $(-2,3)$ and $(-1,-4)$ .

The slope of the line joining two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

$Slope,m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here, $x_{1}=-2,y_{1}=3,x_{2}=-1,y_{2}=-4$

∴ $m=\frac{-3-4}{-1-(-2)}=\frac{-7}{-1+2}=\frac{-7}{1}=-7$

Equation of line with a point $(x_{1},y_{1})$ and slope $m$ is given as:

$y-y_{1}=m(x-x_{1})$

Plug in -2 for $x_{1}$ , 3 for $y_{1}$ and -7 for $m$ . This gives,

$y-3=-7(x-(-2))\\y-3=-7(x+2)\\y-3=-7x-(7\times 2)\\y-3=-7x-14\\y=-7x-14+3\\y=-7x-11$

Therefore, the equation of the line in vertex form is $y=-7x-11$ .

4 0

2 years ago

The SOLT missionaries are throwing a birthday party. There is obviously cake. Mr. Daniel only wants 1/2 of a piece. Mr. Richie e

marishachu [46]

Answer:

1/ 112

Step-by-step explanation:

1-½ = ½ ( Mr. Daniel's leftover)

½×½= ¼ ( Mr. Richie)

½×¼= 1/8 ( Ms Laura)

½×1/8 = 1/16 ( Ms. Kimberly)

1/7 × 1/16 = 1/ 112 (the last turn)

so, Ms. Sarah eats 1/ 112 of a piece.

3 0

2 years ago

A market sells 6 cans of food for every 7 boxes of food. The market sold a total of 26 cans and boxes today. How many

mamaluj [8]

Option 2 is the correct answer

3 0

2 years ago