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snow_tiger [21]
3 years ago
14

Expand and simplify 5(2x-1) -2(3x+2) First person to answer gets brainliest !!

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0
Expanded: 4x-9
Simplified: 4x-9
alexandr1967 [171]3 years ago
3 0

Answer:

<h3>\boxed{ \mathsf{ \bold{ \purple{ 4x - 9}}}}</h3>

Step-by-step explanation:

\mathsf{5(2x - 1) - 2(3x + 2)}

Distribute 5 through the parentheses

\mathsf{10x - 5 - 2(3x + 2)}

Distribute 2 through the parentheses

\mathsf{10x - 5 -  6x - 4}

Collect like terms

\mathsf{4x - 5 - 4}

Calculate

\mathsf{4x - 9}

Hope I helped!

Best regards!

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In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
Bob and his friend bill have the same birthday,but bob is 3 years older than bill.let the variable x represent bobs age and y re
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Y + x=
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6 0
3 years ago
Ella swims four times a week at her clubs pool. She swims the same number of laps on Monday,Wednesday,Friday,and 15 laps on Satu
Reika [66]

She swims 12 laps on Monday.

Step-by-step explanation:

Total laps = 51 laps

Laps on Saturday = 15 laps

Let,

x be the number of laps on Monday, Wednesday and Friday each.

According to given statement;

Monday+Wednesday+Friday+Saturday = 51

x+x+x+15=51\\3x=51-15\\3x=36

Dividing both sides by 3

\frac{3x}{3}=\frac{36}{3}\\x=12

She swims 12 laps on Monday.

Keywords: addition, division

Learn more about division at:

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  • brainly.com/question/10772025

#LearnwithBrainly

7 0
3 years ago
If i spend $ 101.65 at kohls,but have 30% off how much is my total show work please
Juliette [100K]
101.65 x .30= 30.50 saving
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6 0
3 years ago
OPEN ENDED QUESTION
posledela

Answer: I hope this helps :)

Substitution:  45+15(6-1)

Simplify:  120

Step-by-step explanation:

Calculate within parenthases (6-1) =5    =45+15(5)

Multiply left to right 15(5)=75      =45+75

Add leftg to right 45+75=120

Answer = 120

4 0
3 years ago
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