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Dmitrij [34]
3 years ago
15

Simplify the following expressions. All answers should be in standard form.

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

The given expression in simplified form is: 15x^2+10x

Step-by-step explanation:

Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.

This may involve addition, subtraction and multiplication of variables.

Given expression is:

5x(3x+2)

Distributing 5x will give us:

= 5.3.x.x + 5.2.x\\=15x^2+10x

Hence,

The given expression in simplified form is: 15x^2+10x

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Solve the equation. 2(3x – 5) = 8
stiks02 [169]

You would distibute first distribute

6x-10=8

add 10 on both sides

6x=18

Then you divide 6 on both sides to get x by itself so

x=3

4 0
3 years ago
In one area, the lowest angle of elevation of the sun in winter is 27.5°. Find the minimum distance x that a plant needing full
Alex73 [517]

Answer:

The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft

Step-by-step explanation:

Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.

We will then find the position to place the plant where the suns rays can get to the base of the plant

Note that the fence is in between the sun and the plant, therefore we have

Height of fence = 5 ft.

Angle of location x from the fence = lowest angle of elevation of the sun, θ

This forms a right angled triangle with the fence as the height and the location of the plant as the base

Therefore, the length of the base is given as

Height × cos θ

= 5 ft × cos 27.5° = 4.435 ft

The plant should be placed at a location x = 4.435 ft from the fence.

8 0
4 years ago
At a surf shop in Malibu, California, a used blue surfboard is on sale for $100. According to the salesperson, the new price rep
Leokris [45]

Answer:

$125

Step-by-step explanation:

if there was a discount of 20%, the sales price is 100 - 20 = 80% of the original price

let a = original price

this equation can be used to represent the question

a x 0.8 = 100 ]]divide both sides by 0.8

a = 100 / 0.8 = 125

4 0
3 years ago
What is 23 1/3 as an improper fraction
katen-ka-za [31]

Answer:

70/3

Step-by-step explanation:

  1. Multiply: 23*3
  2. 23*3=69
  3. Add: 69+1
  4. 69+1=70
  5. 70/3

<em>Hope this helped!! :)</em>

<em>Brainliest?!?!</em>

<em>Stay safe and have a wonderful day/afternoon/night!!!</em>

4 0
3 years ago
Help asap 80 points!
Montano1993 [528]

Answer:

[-3, 3]

Step-by-step explanation:

The function/ graph is defined from -3 to 3, inclusive of those values

3 0
3 years ago
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