The factors are 3x, 4x^2-3 and 5x+2
So, Option B, C and F are correct.
Step-by-step explanation:
We need to find factors of the expression 
Solving the expression:
Taking 3x common:
Now, factor by grouping, the terms inside the bracket.
So, the factors are 3x, 4x^2-3 and 5x+2
So, Option B, C and F are correct.
Keywords: Finding Factors
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The triangle angle-sum theorem says that all those angles added together equal 180. Therefore, 120+x+x+16=180 and 2x+136=180 and 2x=44. Therefore, x = 22, which is angle B.
Answer:
a subset of integers
Step-by-step explanation:
You have to look at the definition of the variable and the meaning of the function value in order to determine suitable domain values.
Here, the variable is defined as a number of dimes. It must be a non-negative integer, a subset of the integers. (We cannot count fractional dimes or negative dimes.)
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Since the variable represents "a handful of dimes", there must be an upper limit on its value. We expect that it will be something less than 1000 (20 rolls of dimes), but it might be slightly more.
A; the coordinates in that point make M equidistant from H and F.
Let
x = first integer
y = second integer
z = third integer
First equation: x + y + z = 194
Second equation: x + y = z + 80
Third equation: z = x - 45
Let's find the values of x, y and z.
Substitute 3rd eq to 1st eq:
x + y + x - 45 = 194
2x + y = 45 + 194
y = -2x + 239
Plug in both we have solved for y and the 3rd eq to the 2nd eq to find x
x + (-2x + 239) = (x - 45) + 80
x - 2x - x = -45 + 80 - 239
-2x = -204
x = -204/-2
x = 102
Solving for y,
y = -2(102) + 239
y = 35
Solving for z,
z = 102 - 45
z = 57
