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3 years ago

How do u solve this step by step and also pls don’t answer unnecessarily

Mathematics

2 answers:

frutty [35]3 years ago

7 0

Answer:

Step-by-step explanation:

D) a) 2x = x +4

Subtract 'x' form both sides

2x - x = x - x + 4

x = 4

b) 3x = 2x + 3

Subtract '2x form both sides

3x - 2x = 2x - 2x +3

x = 3

c) 6x = 2x + 8

Subtract '2x' from both sides

6x - 2x = 8

4x = 8

Divide both sides by 4

4x/4x =8/4

x = 2

e) 5x = 12 - x

Add 'x' to both sides

5x +x = 12 - x + x

6x = 12

Divide both sides by x

6x/6 =12/6

x = 2

E) k) 15x + 4 = 10x + 19

Subtract 10x from both sides

15x - 10x + 4 = 10x - 10x + 19

5x + 4 = 19

Subtract 4 form both sides

5x + 4 - 4 = 19 - 4

5x = 15

Divide both sides by 5

5x/5= 15/5

x = 3

kari74 [83]3 years ago

6 0

You have to have one side equal x so I’ll solve one from each section

e) x = 2

5x = 12 - x
add x to both sides
6x = 12
divide both sides by 6
x = 2

k) x = 3

15x + 4 = 10x + 19
move the 4 to the other side by subtracting on both sides
15x = 10x + 15
subtract 10x from both sides
5x = 15
divide by sides by 5
x = 3

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The graph of the function g(x) contains the point (4,1/5). What point must be on the graph of y=5g(x+1)?

stich3 [128]

<em>The point that must be on the graph of:</em>

$y=5g(x+1)$

$(3,1)$

<h2>Explanation:</h2>

In this case, we have the following function:

$g(x)$

This function contains the point:

$(4,\frac{1}{5})$

In other words:

$For \ the \ point \ (4,\frac{1}{5}) \rightarrow x=4 \ and \ y=\frac{1}{5} \\ \\ So: \\ \\ y=g(x) \ and \ g(4)=\frac{1}{5} \\ \\ \\ For \ y=5g(x+1) \\ \\ We \ know \ g(4) \ So: \\ \\ x+1=4 \ \therefore x=3 \\ \\ Then: \\ \\ y=5g(3+1) \\ \\ y=5g(4) \\ \\ y=5(\frac{1}{5}) \\ \\ y=1$