X, X+2, X+4 ARE THE 3 POSITIVE CONSECUTIVE INTEGERS.
X(X+2)=8+38(X+4)
X^2+2X=8+38X+152
X^2+2X-38X-8-152=0
X^2-36X-160=0
(X-40)(X+4)=0
X-40=0
X=40 ANSWER FOR THE FIRST INTEGER.
40+2=42 FOR THE SECOND INTEGER.
-6x^3y + 9x^2y^2 - 12xy^3
-3xy(2x^2) - 3xy(-3xy) - 3xy(4y^2)
-3xy(2x^2 - 3xy + 4y^2)
The answer is C.
Answer:
y-intercept: (0, 75) ⇒ y = 75
x-intercepts: (3, 0) and (5, 0) ⇒ x = 3 and x = 5
vertex: (4, -5)
Step-by-step explanation:
Let the x-axis be the ground (when y = 0). Therefore underground when y < 0 and overground when y > 0
The function is a quadratic: f(x) = ax² + bx + c
If the coaster enters the tunnel three seconds after the first descent starts and stays in the tunnel for a total of 2 seconds, then y = 0 when x = 3 and x = 5
Also, when x = 1, y = 40
- f(3) = 0
⇒ 9a + 3b + c = 0
- f(5) = 0
⇒ 25a + 5b + c = 0
- f(1) = 40
⇒ a + b + c = 40
Solve 2 equations simultaneously:
- 9a + 3b + c = 0
- 25a + 5b + c = 0
- a + b + c = 40
⇒ a = 5 b = -40 c = 75
⇒ f(x) = 5x² - 40x + 75
<u>y-intercept</u>
when x = 0
⇒ f(0) = 5(0²) - 40(0) + 75 = 75
⇒ y-intercept = (0, 75)
<u>x-intercepts</u>
x = 3 and x = 5
<u>Vertex</u>
If the x-intercepts are when x = 3 and x = 5, then vertex is when x = 4
⇒ f(4) = 5(4²) - 40(4) + 75 = -5
⇒ vertex = (4, -5)
Answer:
a=bh
Step-by-step explanation:
the answer is 70
im sorry if thats not right
Answer:
1 26/49
Step-by-step explanation=
2 1/7 ÷ 1 2/5
15/7 over 1 2/5
15/7 over 7/5
75/49
= 1 26/49
