Answer:
see explanation
Step-by-step explanation:
To find the y- intercept let x = 0 in the function
g(0) = 0 - 0 - 84 = - 84 ← y- intercept
To find the x- intercepts let y = 0, that is
x² - 5x - 84 = 0
To factor the quadratic
Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term
The factors are - 12 and + 7, since
- 12 × 7 = - 84 and - 12 + 7 = - 5, thus
(x - 12)(x + 7) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 7 = 0 ⇒ x = - 7
x- intercepts are x = - 7 and x = 12
Answer:
The number is 48
Step-by-step explanation:
First, let's call the number we are looking for n.
We can then write "two-thirds of the number" as 2/3n
We can also write "one-half of a number" as 1/2n
Finally, we are told 1/2n is the same as 2/3n −8 or: 1/2n = 23n −8
We can now solve for n: 1/2n − 2/3n = 2/3n −8 − 2/3n 1/2n − 2/3n = −8We next need to get the fractions over common denominators, in this case, 6 by multiplying each fraction by the necessary for of 1: (3/3) 1/2n − (2/2) 2/3n = −8 3/6n − 4/6n = −8 − 1/6n = −8.
We can finally solve for n by multiplying by -6 to isolate n −6 ⋅(−1/6)n = −8⋅ − 6
1n = 48
n =48
Answer:
C. -2x+y=1
Step-by-step explanation:
If we move 2x to the other side of the equation, its sign will change from positive to negative.
X = 3
6x + 4 = 22
6x = 18 (subtract 4 from both sides)
x = 3 (divide 6 from both sides)
