Answer:
See below ~
Step-by-step explanation:
(a) To find y-intercept :
- y = -x² + 2x + 15
- y = -(0)² + 2(0) + 15
- y = 15
- M is : (0, 15)
(b) Finding x-intercepts :
- 0 = -x² + 2x + 15
- -x² + 5x - 3x + 15 = 0
- x(-x + 5) + 3(-x + 5) = 0
- (x + 3)(-x + 5) = 0
- x + 3 = 0 ⇒ x = -3
- -x + 5 = 0 ⇒ x = 5
- P and Q are : (-3, 0) and (5, 0)
(C) Finding vertex :
- Vertex is (h, k)
- h = -b/2a = -2/2(-1) = 1
- k = -(1)² + 2(1) + 15
- k = -1 + 2 + 15
- k = 16
- The maximum point is : (1, 16)
Answer:
Step-by-step explanation:
the instruction say put it in this form Ax +Bx = C , but i'm sure they were meant to say this Ax +By = C note the X and Y differences. I'll use the latter form, b/c that's the "standard" form
find the slope:
m = -11 - (-5) / -10-5
m = -11 + 5 / -15
m = -6 / -15
m = 2/5
y-(-5) = 2/5(x-5)
y + 5 = 2x/5 -2
y = x - 7
- x +y = -7
There you go, the right answer :P
Let's simplify step-by-step.<span><span><span><span>5<span>x2</span></span>−<span>3x</span></span>−2</span>−<span>(<span><span><span>−<span>2<span>x2</span></span></span>−x</span>+10</span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span><span>5<span>x2</span></span>−<span>3x</span></span>−2</span>+<span><span>−1</span><span>(<span><span><span>−<span>2<span>x2</span></span></span>−x</span>+10</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span>5<span>x2</span></span>+</span>−<span>3x</span></span>+</span>−2</span>+<span><span>−1</span><span>(<span>−<span>2<span>x2</span></span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(10)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span>5<span>x2</span></span>+</span>−<span>3x</span></span>+</span>−2</span>+<span>2<span>x2</span></span></span>+x</span>+</span>−10</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span>5<span>x2</span></span>+<span>−<span>3x</span></span></span>+<span>−2</span></span>+<span>2<span>x2</span></span></span>+x</span>+<span>−10</span></span></span><span>=<span><span><span>(<span><span>5<span>x2</span></span>+<span>2<span>x2</span></span></span>)</span>+<span>(<span><span>−<span>3x</span></span>+x</span>)</span></span>+<span>(<span><span>−2</span>+<span>−10</span></span>)</span></span></span><span>=<span><span><span>7<span>x2</span></span>+<span>−<span>2x</span></span></span>+<span>−12</span></span></span>Answer:<span>=<span><span><span>7<span>x2</span></span>−<span>2x</span></span>−<span>12</span></span></span>
Let's start with 17 seats and just bikes. That is 34 wheeles. Now, each bike we replace with a go-kart will add 2(because we take away 2 and add 4). We need to add 14 wheels. This means we will replace 7 bikes with go-karts. 7 go-karts (28 wheels) and 10 bikes (20 wheels) is the answer.