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drek231 [11]
3 years ago
15

2(7x+5)=5x-8 Prove: X= -2

Mathematics
1 answer:
german3 years ago
3 0

2(7x+5)=5x-8 \\\\
14x+10=5x-8\\\\
9x=-18\\\\
x=-2

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If <img src="https://tex.z-dn.net/?f=x-12%5Csqrt%7Bx%7D%20%2B36%3D0" id="TexFormula1" title="x-12\sqrt{x} +36=0" alt="x-12\sqrt{
Elis [28]

Answer:

x = 36

Step-by-step explanation:

x - 12\sqrt{x} + 36 = 0

Subtract x and 36 from both sides.

-12\sqrt{x} = -x - 36

Divide both sides by -1.

12\sqrt{x} = x + 36

Square both sides.

144x = x^2 + 72x + 1296

Subtract 144x from both sides.

0 = x^2 - 72x + 1296

Factor the right side.

0 = (x - 36)^2

x - 36 = 0

x = 36

Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.

Check x = 36:

x - 12\sqrt{x} + 36 = 0

36 - 12\sqrt{36} + 36 = 0

36 - 12\times 6 + 36 = 0

36 - 72 + 36 = 0

0 = 0

Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.

6 0
3 years ago
The product of 5 and a number n is at least 25.
Afina-wow [57]
5x2+15=25 is the answer
3 0
3 years ago
Papa john is 50 years old. His age is 2 years more than 3 times the age of jimmy John
kakasveta [241]
Jimmy John is sixteen
7 0
3 years ago
Read 2 more answers
A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How
il63 [147K]
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.

The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1

So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50

Replace y with f(x) to get f(x) = 30x+50

The linear function for the cost is f(x) = 30x+50

Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same

Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.

f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185

It will cost 185 dollars to have the painter work for 4.5 hours
7 0
3 years ago
2. Which of the following statements is true?
Vesnalui [34]
The first and last choices are true.
4 0
3 years ago
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