Answer:
3rd answer : 5
Step-by-step explanation:
the slope is the ratio "y coordinate change / x coordinate change".
so, we see that in the table. when going from one point to the next,
x changes by +2.
y changes by +10.
the slope is then
+10/+2 = 5
Standard Form : f (x) = a(x - h)2 + k
Where in this equation (H,K) is the vortex of the parabola
<u>and there are four other ways to solving these quadratic</u>
1. Factoring
2. Completing the square
3. Your quadratic formula ( f (x) = a(x - h)2 + k )
4. Graphing
Split the second term in
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)
Answer:
<em>(2, - 6, 3)</em><em> </em>
Step-by-step explanation:
2x - y - 3z = 1 ⇒ y = 2x - 3z - 1 .... <em>(1)</em>
4x + 3y + 2z = - 4 .... <em>(2)</em>
- 3x + 2y + 5z = - 3 .... <em>(3)</em>
(1) ---> (2) and (3)
4x + 3(2x - 3z - 1) + 2z = - 4 ⇔ 10x - 7z = - 1 ... <em>(4)</em>
- 3x + 2(2x - 3z - 1) + 5z = - 3 ⇔ x - z = - 1 ⇒ x = z - 1 ---> (4)
10(z - 1) - 7z = - 1 ⇒ <u><em>z = 3</em></u>
<u><em>x = 2</em></u>
2(2) - y - 3(3) = 1 ⇒ <u><em>y = - 6</em></u>
<em>(2, - 6, 3)</em>
You rented 12 movies ( 68.88 - 45.00 = 23.88 then divide 23.88 by 1.99 to get 12)