The answer is 8
Happy studying!
Answer:
2³ x 3²
Step-by-step explanation:
The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:
72
2 x 36
2 x 2 x 18
2 x 2 x 2 x 9
2 x 2 x 2 x 3 x 3
So;
The prime factorization is 2³ x 3²
A. The
y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the
given table,
y - intercept
= 8
Since at
time zero the displacement is 8 ft, this means that the horse was already
outside the barn initially.
B. The
average rate of change of the function represents the slope of the linear
equation (m). This can be calculated using the formula:
average rate
of change = m = (y2 – y1) / (x2 – x1)
m = (158 –
58) / (3 – 1)
m = 50
<span>C. Since we have determine the y-intercept and
the slope, we can formulate the linear equation:</span>
y = m x + b
y = 50 x + 8
The domain
is the value of x. When y = 508, x is equivalent to
508 = 50 x +
8
<span>x = 10 hrs</span>
Answer:
76
Step-by-step explanation:
1. Replace n with 10. The equation will look like:
-5+9(10-1)
2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:
-5+9(9)
3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:
-5+81
4. Now we move on to addition and subtraction; add the two numbers!
-5+81=76
There's your answer!! Hope this helped :)
