12, Find the prime factorization of 60
60 = 2 × 2 × 3 × 5
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3
Equation is y = -1/6x
Step-by-step explanation:
- Step 1: Given that slope, m = -1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.
⇒ y = mx + b
⇒ -2 = -1/6 × 12 + b
⇒ -2 = -2 + b
∴ b = 0
- Step 2: Write the equation in slope intercept form.
⇒ y = -1/6x + 0
⇒ y = -1/6x
Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
t=1.40625~1.4 seconds
Thus the time taken to reach maximum height is 1.4 seconds
</span>
Answer:
The number c is 2.
Step-by-step explanation:
Mean Value Theorem:
If f is a continuous function in a bounded interval [0,4], there is at least one value of c in (a,b) for which:
In this problem, we have that:
So 
----------
The number c is 2.
