Answer:
x = 2
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
13x - 2(8 + 5x) = 12 - 11x
<u>Step 2: Distribute</u>
13x - 2(8 + 5x) = 12 - 11x
13x - 16 - 10x = 12 - 11x
<u>Step 3: Solve for x</u>
13x - 16 - 10x + 11x + 16 = 12 - 11x + 11x + 16
14x / 14 = 28 / 14
x = 2
Answer: x = 2
The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).
Correct Answer:
First Option
Let the first integer be n.
Since the integers are consecutive, the integer next to n will be n+1
and so the third integer will be n+2
Therefore, the three integers are:
n , n +1, n+2
Their sum is 75. So we can write the equation as:
n + (n+1) + (n+2) = 75
This equation can be used to find n. After finding n, we can find the next two integers by finding (n+1) and (n+2)
