A greatest common factor is the largest number that goes into two or more numbers (in this case two). To find the GCF of two numbers, we have to find the prime factorization (how to express a number as a product of prime numbers) and then see which numbers are common in both of the prime factorizations.
13. The prime factorization of 8 is 2 * 2 * 2. The prime factorization of 26 is 2 * 13. Looking at the prime factorizations, we can see that both of them have 2. That means that the GCF is 1 * 2 which is 2.
12. The prime factorization of 105 is 3 * 5 * 7. The prime factorization of -30 is -5 * 6. We see that the number shared 5. That means that the GCF is 5 * 1 or 5.
Answer:
e. 2x - 7y = 31.
Step-by-step explanation:
If you want a line parallel to the equation, the line must have the same slope.
2x - 7y = 9
-7y = -2x + 9
y = 2/7x - 9/7
You are looking for a line where the slope is 2/7.
a. Slope is 7/2.
b. Slope is -7/2.
c. Slope is 7/2.
d. Slope is...
y + 2 = 3/4x + 3
y = 3/4x + 1
Slope is 3/4.
e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.
2 * 5 - 7 * -3 = 31
10 --21 = 31
10 + 21 = 31
And there's your answer: e.
Hope this helps!
Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
Required
Determine the maximum profit
This is calculated by calculating the maximum of the function.
A quadratic function is of the form
and its maximum is:
So:
We have that
<em>Hence, the maximum amount of profit is 32</em>
We have that
y=6^x
we know
to find the inverse
replace x with y and y with x,
x=6^y
we know that
y=logb(x)----------> x=b^y
therefore
x=6^y---------------> y=log6(x)
the answer is the option A.) Y=log 6x
Answer:
It would have 6 protons
Step-by-step explanation:
If you have carbon-14 you would have 6 protons and 8 neutrons. When you add the 6 and 8 you get 14
