Answer:
130lbs
Step-by-step explanation:
1) 52 ÷ 4≈ 13
2) 13×10=130
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: " x = 9 " .
____________________________________
Explanation:
____________________________________
To calculate the mean:
____________________________________
The mean =
{the sum of all the values in the number set} ÷
{the number of values in the data set} ;
____________________________________
To solve for "x" ;
____________________________________
Given that the "mean" is: "8" ;
____________________________________
8 = { 3 + 7 + 9 + 12 + x } / 5 ;
____________________________________
↔ { 3 + 7 + 9 + 12 + x } / 5 = 8 ;
____________________________________
→ { 3 + 7 + 9 + 12 + x } = 8 * 5 ;
____________________________________
→ { 31 + x } = 40 ;
____________________________________
↔ x + 31 = 40 ;
____________________________________
Subtract "31" from EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
____________________________________
→ x + 31 − 31 = 40 − 31 ;
→ x = 9 .
____________________________________
Answer:
do u have answer choices or did u come up with anything that can help me out a lil bit
Step-by-step explanation:
mrk me brainliest plz
Rational between 5.2 and 5.5
5.2 × 10/10 = 52/10
5.5 × 10/10 = 55/10
rational no. b/w them is 53/10 = 5.3
rational because it is in p/q form where q is not zero and p and q are integers.
irrational.no. b/w 5.2 and 5.5
5.20102030405060708090.......
irrational.no because it is non terminating and non recurring
