Prime factorization: 77=7*11
Answer:
Average rate of change = 2
Step-by-step explanation:
Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.
f(-5) = (-5)^2 − 3(-5) − 10 = 25 + 15 - 10 = 30
f(10) = 10^2 − 3(10) − 10 = 100 - 30 - 10 = 60
Average rate of change:
f(10) - f(-5) 60 - 30 30
-------------------- = ------------------------------- = ----------------------- = 2
10 - (-5) 15 15
Answer:
That means the missing side length is 15
Step-by-step explanation:
We use the Pythagorean theorem to find the hypotenuse. The hypotenuse for this triangle is 17. The equation for the Pythagorean theorem is a^2 + b^2 = c^2. Our equation is x^2+64 = 289. We can now subtract 64 from both sides and get 225. The square root of 225 will be 15.
Answer:
13 quarters must be tails.
Step-by-step explanation:
Number of quarters = 40% of 50 coins
Number of quarters = 40/100 * 50 = 20 coins which are quarters.
35% of these 20 quarters on heads. We can proceed in 2 ways from here.
We can actually find the number of quarters that are on heads.
35/100 * 20 = 7 quarters are showing heads.
Since the other quarters must be tails 20 - 7 = 13 quarters must be tails.
The other way to do it is to realize that if 35% of the coins are heads, 65% of the coins must be tails 20 * 65/100 = 13 which is a bit more direct.
