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tester [92]
3 years ago
10

Can somebody help with this problem?

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

x=-5 or -5

Step-by-step explanation:

x - 4 = 2x + 1

Subtract x from both sides canceling out the x on the left, getting...

-4 = x + 1

Then subtract the 1 from both sides canceling out the 1 on the right, getting...

-5 = x

Subtracting x from 2x gets you 1x which you just write as x because there is only one x. Doing the equation from the other side will still get you the same answer and I will show you.

x - 4 = 2x + 1

-x - 4 = 1

-x = 5

x = -5

Hope this helps!

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It would take about 2 1/2 to make six dozens
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A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. The length of the deck
leva [86]
Let the width be W, then the length is 4W (since the width is 1/4 the length)

The area of the original deck is W*4W=4W^{2}

The dimensions of the new deck are :

length = 4W+6
width=W+2

so the area of the new deck is :

(4W+6)(W+2)= 4W^{2}+8W+6W+12= 4W^{2}+14W+12

"<span>the area of the new rectangular deck is 68 ft2 larger than the area of the original deck</span>" means that we write the equation:

4W^{2}+14W+12=68+4W^{2}

14W+12=68

14W=68-12=56

W= \frac{56}{14}= 4

the length is 4W=4*4=16    ft


Answer: width: 4, length: 16
3 0
3 years ago
Given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)​
denis-greek [22]

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ \frac{2[g(x)]}{2} = \frac{10x}{2} + \frac{4}{2}

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

7 0
3 years ago
6. What is the Greatest Common Factor of 45<br> and 60?<br> 14560
bazaltina [42]

Answer:

15  15 goes into 45 5 times and 60 5 times. highest number that goes into both numbers evenly

5 0
3 years ago
Read 2 more answers
Complete the equation of the line through (-9,-9) and (-6,0)
Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

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m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

Thus, the equation is of the form:

y = 3x + b

We substitute one of the points and find b:

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Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

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