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umka2103 [35]
3 years ago
12

Which of the equations below have one solution? Select all that apply. 8x–3x+5=5x–2 9=3(5x–2) 6x–(3x+8)=16 9x+4–x=4(2x+1)

Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

Answer:

The equations that have one solution are 9=3(5x–2) and 6x–(3x+8)=16

Step-by-step explanation:

To determine which equations have one solution, we will determine the solution(s) to all the equations (that is, find the value of the unknown, x).

1. 8x–3x+5=5x–2

This becomes

5x+5=5x-2

Subtract 5x from both sides

5x-5x+5 = 5x-5x-2

0+5 = 0-2

This equation has no solution

2. 9=3(5x–2)

First, open the bracket by distributing 3

∴ 9 = 15x - 6

Then, add 6 to both sides

9+6 = 15x -6 +6

15 = 15x

Divide both sides by 15

15/15 = 15x/15

1 = x

∴ x = 1

This has one solution.

3. 6x–(3x+8)=16

Open the bracket by distributing –1

6x -3x -8 = 16

3x - 8 = 16

Add 8 to both sides

3x -8 +8 = 16 + 8

3x = 24

Divide both sides by 3

3x/3 = 24/3

x = 8

This has one solution.

4. 9x+4–x=4(2x+1)

This becomes

9x -x +4 = 4(2x+1)

Then, 8x +4 = 4(2x+1)

Open the bracket by distributing 4

8x +4 = 8x +4

This is true for any value of x.

Hence, the equations that have one solution are 9=3(5x–2) and 6x–(3x+8)=16.

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When n = 3, which of the expressions below will be greater than 50? Select all that apply. A) (8n2÷9)⋅7 B) 2n2⋅3 –4n C) 4n2–6n+1
True [87]

Answer:

<u><em>A</em></u>

Step-by-step explanation:

<u>a)</u>

<u></u>(8(3)^{2} / 9) * 7<u></u>

<u>8(9) / 9 = 8 x 7 = 56</u>

b)

2(3)^{2} * 3 - 4(3)

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

c)

4(3)^{2} - 6(3) + 12

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

d)

7(3) + (3 * 8)

21 + 24 = 45

5 0
3 years ago
This is 70 points I will report anyone who answers wrong just for points! I will be asking TWO questions Please answer correctly
Ratling [72]




QUESTION 1: In these type of question, the easiest way to get the answer is try to plug in the x and y values from the options given in the equation given, So in the first question all the choice except C are more then 14 if you plug in x and y's, for eg, if you plug in x = 3 and y = 2 , you get (3+3)2 = 14 6 x 2 = 14 12 is not equal to 14, so this eliminates this choice but if you chose C you get, (11+3)1 = 14 14 = 14 so this makes C the solution for first question and for the second question do the same thing, and the answer will be D. Hope this helps




QUESTION 2: 5xy + 9 = 44

5xy = 35

xy = 7

solution pairs are:

C. (1, 7) and (7, 1)

not mentioned: (-1.-7) and (-7, -1)






Hope this helps



Plzz don't forget to rate and thanks me


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Are the lines 2y-10x=4 and y-2=5x parallel ??
aleksandrvk [35]
Well,

If the slope of the lines are the same, then the lines are parralel.

We need to manipulate 2y - 10x = 4 into y = mx + b form.

Add 10x to both sides
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Divide both sides by 2
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