Answer:
80%
Step-by-step explanation:
The percentage change between two numbers can be calculated as ...
percentage change = ((new value)/(old value) -1) × 100%
= (2700/1500 -1) × 100% = (1.80 -1) × 100% = 80%
Traffic volume increased 80%.
You can try by plugging each ordered pair and seeing if the equation comes out true.
(5, 1)
2 * 5 - 1 = 9
That's correct so C is the correct answer.
Answer:
See photo below
Add arrows to the two ends of the parabola.
Step-by-step explanation:
To sketch this quadratic function, we to connect three dots: the two roots and a vertex.
The given roots are -1 and 1.
Draw <u>two dots at the x-intercepts</u>, which are (-1, 0) and (1, 0).
Vertex dot: V (x, y)
The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.
V (0, y)
Since the function increases when x < 0, the parabola will <u>open up</u>.
We read from left to right. The greater numbers are towards the top of the page.
<u>You can put the vertex anywhere on the y-axis that is below the x-axis.</u>
Answer:
Refer to the picture above.
Answer:
(5, - 8 ) and (- 1, 4 )
Step-by-step explanation:
Given the 2 equations
y = - x² + 2x + 7 → (1)
y = - 2x + 2 → (2)
Substitute y = - 2x + 2 into (1)
- 2x + 2 = - x² + 2x + 7 ← subtract - x² + 2x + 7 from both sides
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 5 → y = - 2(5) + 2 = - 10 + 2 = - 8 ⇒ (5, - 8)
x = - 1 → y = - 2(- 1) + 2 = 2 + 2 = 4 ⇒ (- 1, 4)
