Answer:
Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?
Step-by-step explanation:
In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.
Answer:
The point M(Mx, My) is mid-point of AB with A(Ax, Ay) and B(Bx, By).
=> 2*Mx = Ax + Bx => 2*2 = 0 + Bx => Bx = 4
=> 2*My = Ay + By => 2*(5) = -1 + By => By = 11
=> B(4, 11)
=> Option A is correct
Hope this helps!
:)
Answer:
32 + 72 = 104 9 +4 = 13
Step-by-step explanation:
104 x 13 = 1352
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
Answer:
Step-by-step explanation:
Given
Interval: (-2,4)
Required
Determine the average rate of change
This is calculated using:
Where:
So, we have:
Calculate g(4) and g(-2)
So:
<em>Hence, the average rate of change is 1</em>
