Answer:
the equation fits the situation, but the table doesn’t.
Step-by-step explanation:
For both functions, the lead roller coaster car starts at an initial height of 32 feet. This is the point (0,32), directly above Landon.
The car races past Landon’s field of vision (y = 0) after it moves a horizontal distance of 4 feet and then 8 feet with respect to the starting point. So, the correct function will have x-intercepts of 4 and 8.
Begin by checking the equation. Rewrite the equation in factored form:
f(x) =
− 11
+ 20x + 32
= (x + 1)(
− 12x + 32)
= (x + 1)(x − 4)(x − 8)
The equation has x-intercepts of 4 and 8.
But the table only has one x-intercept, located at (4,0). The point (8,160) is well out of Landon’s line of sight.
So, the equation fits the situation, but the table doesn’t.
25 because you would just get rid of the 2/3
step-by-step explanation:
every time we see "a number" or "the same number," we can add a variable (we'll use x here). rewriting the problem, we get: 8 less than 2 times x is gr8er than the sum of x and 9.
next, we can work backwards to write an inequality. we know from the word problem above that the number on the left side of the equation is 8 less than 2x, so we can rewrite that part like this: 2x-8.
for the right side of the equation, all we have to do is simplify "the sum of x and 9" to x + 9. so now the inequality should look like this: 2x - 8 > x + 9.
now we'll solve the inequality just like an equation: subtract x from both sides of the inequality, so now we have: x - 8 > 9.
then, we can add 8 to both sides to get the x by itself, and we get the answer: x > 15
hope this helps! <em>:)</em>
The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.
Step-by-step explanation:
The given is,
A small pizza has an 8-inches in diameter
A large pizza has a 15-inches in Diameter
The small pizza cost $7
Step:1
Area of smaller pizza,
...................................(1)
Where, r - Radius of small pizza
From given, 

r = 4 inches
Equation (1),

( ∵
=3.14 )
Square inches
Step:2
Area of smaller pizza,
...................................(1)
Where, r - Radius of small pizza
From given, 

r = 7.5 inches
Equation (1),

( ∵
=3.14 )
Square inches
Step:3
Cost of pizza per square meter,


= $ 0.1393 per square meter
× 

= $24.62
Result:
The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.