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3 years ago

Solve −2(2x + 5) − 3 = −3(x − 1)

Mathematics

2 answers:

GarryVolchara [31]3 years ago

8 0

Answer:

x = -16

Step-by-step explanation:

-2(2x + 5) - 3 = -3(x - 1)

-4x - 10 - 3 = -3x + 3

-4x - 13 = -3x + 3

-x = 16

x = -16 <--- This is the answer

Hope this helps!

svlad2 [7]3 years ago

5 0

Answer:

x= -16

Step-by-step explanation:

distribute -2

-2 * 2x =-4x

-2 * 5 = -10

-4x - 10 -3 = -3 (x-1)

distribute -3

-3 * x = -3x

-3 * -1 = 3

-4x - 10 -3 = -3x + 3

combine like terms

-4x -13 = -3x + 3

-4x + 3x = -x

3 + 13 = 16

-x = 16

divide by -1

x = -16

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I have been asking for assistance for an hour and a half now, I will greaty appreciate anyone that can help with this..Find the

blagie [28]

Answer:

1st graph: m = -1/2. (m is the slope)

2nd graph: m = 3/2.

3rd graph: Midpoint = (1/2, 1/2)

Step-by-step explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula $m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.

$m= \frac{-2-0}{1-(-3)}$

Simplify this, giving you: m = -1/2.

2nd graph:

Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)

$m = \frac{4-1}{1-(-1)}$

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula: $(\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )$

Plug in the end-points of the graph, or (-3, 2) and (4, -1).

You get:

$(\frac{-3+4}{2}, \frac{2-1}{2})$

Simplify:

Midpoint = (1/2, 1/2)

3 0

3 years ago

The volume of a beack ball is 905 square centimeters. Find the radius of the ball to the nearest whole number.

lubasha [3.4K]

<h3>given:</h3>

$v = 905 \: {cm}^{3}$

the radius of the given ball (sphere).

<h3>solution:</h3>

$r = \sqrt[3]{ \frac{3v}{4\pi} }$

$r = \sqrt[3]{ \frac{3 \times 905}{4\pi} }$

$r = 6 \: cm$

therefore, the radius of the ball is 6 cm.

note: refer to the picture I added on how you can change r as the subject of the formula.

8 0

2 years ago

Read 2 more answers

Solve the linear system below using the substitution method. y = 5x – 22 3x +2y=34

insens350 [35]

Answer:

Use photo math, it will explain all the steps

6 0

3 years ago

Read 2 more answers

The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square centimeters, find

mr Goodwill [35]

In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)

6 0

4 years ago

Maria is playing a video game. She earns 15 points when she completes level one. Each time she completes a level, she earns twic

andrey2020 [161]

Answer:

She will earn 1,920 points. PLEASE GIVE BRAINLIEST!!!

Step-by-step explanation:

Level 1 : 15 points x 2 = level 2

Level 2 : 30 points x 2 = level 3

Level 3: 60 points x2 = level 4

Level 4: 120 points x2 = level 5

Level 5: 240 points x2 = level 6

Level 6: 480 points x2 = level 7

Level 7: 960 points x2 = level 8

Level 8: 1,920 points

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4 years ago