Answer:
x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2
Step-by-step explanation:
Solve for x:
y = -x^2 - 4 x + 7
y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:
-x^2 - 4 x + 7 = y
Multiply both sides by -1:
x^2 + 4 x - 7 = -y
Add 7 to both sides:
x^2 + 4 x = 7 - y
Add 4 to both sides:
x^2 + 4 x + 4 = 11 - y
Write the left hand side as a square:
(x + 2)^2 = 11 - y
Take the square root of both sides:
x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)
Subtract 2 from both sides:
x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)
Subtract 2 from both sides:
Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2
Answer:
Prime Numbers 2, 3, 5
Divisible by 2 - 2, 4, 6
One is NOT a prime number.
So, there are 5 out of 6 numbers that are even or are prime.
This leaves only 1 number that isn't.
So, the probability is 5/6 that the number rolled will be prime or even.
Step-by-step explanation:
Answer:
It is A.
Step-by-step explanation:
f(x) is exponential and increases at a faster rate as x increases.
g(x) is a linear function and increases at a constant rate of 5.
g(x) increases at a faster rate than f(x) in the interval x = 0 to 1 so D is false.
Yes because if you divide 4 by 67 you get about 0.0597 and if you divide 5 by 777 then you get about 0.0064 and 0.0597 is greater than 0.0064
