Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
x^2 + 17x − 12 = −84
Adding -84 to the left hand side and the right hand side of the equation, it becomes
x^2 + 17x − 12 + 84 = −84 + 84.
x^2 + 17x + 72 = 0
We would find two numbers such that their sum or difference is 17x and their product is 72x^2. The two numbers are 8x and 9x. Therefore
x^2 + 8x + 9x + 72 = 0
x( x + 8) + 9(x + 8) = 0
x + 9 = 0 or x + 8 = 0
x - 9 or x = 8
Answer:
x = 3
y = 1
Step-by-step explanation:
The equations are:
and
Putting second equation in the first one:
=>
Subtracting 27 to both sides
=>
=>
Taking power 7 to both sides
=> y = 1
Now,
Taking cube root on the both sides
x = 3
Answer: (3,1)
Step-by-step explanation:
First, to find x, simply take the cube root of 27, or 3. Thus, x = 3.
Then, simply plug it in:
Thus, y = 1
Hope it helps <3
p.s. for some reason, in a graphing calculator, it shows no solutions
Hope it helps <3
2 in a row!
Answer:
Domain: [-4, 4]
Range: [-3, 5]
Function? No
Step-by-step explanation:
Domain is all x-values that can be inputted in the graph that returns an output.
Range is all y-values that are outputted when x is inputted.
A function has to pass the Vertical Line Test.
b. percentage, probability, proportion
c. critical value, percentage, proportion
d. critical value, percentage, probability
Answer:
0.11
Step-by-step explanation:
The events are independent, so:
P(A and B) = P(A) × P(B)
P = 0.5 × 0.22
P = 0.11