Answer:
x ∈ {-4, 2}
Step-by-step explanation:
The x-coefficient (+2) is the sum of the constants in the binomial factors of the equation, and the constant term (-8) is their product.
Since you're familiar with the divisors of 8, you know that the two factors of -8 that total +2 are -2 and +4. These are the constants in the binomial factors:
f(x) = x^2 +2x -8
f(x) = (x -2)(x +4)
The roots of f(x) are the values of x that make these factors be zero. They are x=2 and x=-4.
The roots of f(x) are -4 and 2.
_____
Above is the solution by factoring. We can also "complete the square" to find the roots. Anytime we're looking for roots, we want the values of x that make f(x) = 0.
x^2 +2x -8 = 0
x^2 +2x = 8 . . . . . add the opposite of the constant
x^2 +2x +1 = 8 +1 . . . . . add the square of half the x-coefficient: (2/2)² = 1
(x +1)² = 9 . . . . . . . . . . . write as squares
x +1 = ±√9 = ±3 . . . . . . take the square root
x = -1 ± 3 . . . . . . . . . . . subtract 1
The roots are x=-4, x=2.
Answer:
√112
Step-by-step explanation:
a^2+b^2=c^2
3^2+b^2=11^2
9+b^2=121
b^2=121-9
b^2=112
b=√112
Mark me as brainliest
To answer this item, we are instructed that the price of the ticket for the children is equal to x. Since, we are also given that this is 5.75 less than the price of tickets for the adults, we may express this as follows,
x = n - 5.75
n is the price of ticket for the adults. This can be calculated by transposing 5.75 to the other side of the equation,
n = x + 5.75
The answer is the third choice.
Answer:
d
Step-by-step explanation:
hchfjtjjgjhkgiyggb bbhhu
Answer:
Below.
Step-by-step explanation:
We have 6/6 the radius and 10/30 that means the height of b is 3 times greater then a therefore the answer is D.
