Which of the following are monomials?
1 answer:
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Answer:
The height of the missile in the air after 11 seconds is 330 feet.
Step-by-step explanation:
The standard form for the quadratic function f(x)= , which is the function of the parabola model.
We are given two points.
(1, 130) and (2, 240)
Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.
Now plug these two coordinates and find the two equations.
(1, 130), the equation is
130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.
Therefore, we get
130 = a + b + 0
a + b = 130 -------(1)
Now let's form the second equation using the coordinate (2, 240)
240 =
240 = 4a + 2b -------------(2)
Now let's solve the equations (1) and (2) and find the value of "a" and "b"
a + b = 130 can be written as a = 130 - b
Here we can use the substitution method.
Now plug in a = 130 - b in the second equation, we get
240 = 4(130 - b) + 2b
240 = 520 - 4b + 2b
240 = 520 - 2b
2b = 520 - 240
2b = 280
Dividing both sides by 2, we get
b = 140
Now plug in b = 140 in a = 130 -b and find the value of a
a = 130 - 140
a = -10
Now we got a = -10 and b = 140.
We plug in a = -10 and b = 140 in the general form, we gety
h(x) =
Where c is the initial height, which is equal to 0.
h(x) =
Now plug in x = 11 seconds and find the height.
h(11) = -10(11)^2 + 140 (11)
= -10 (121) + 1540
= - 1210 + 1540
h(11) = 330 feet,
Therefore, the height of the missile in the air after 11 seconds is 330 feet.
We need to identify the equation of the graph given.
This graph corresponds to a translation of the graph described as:
Comparing the graph given with the one above, we can see it was shifted 4 units to the left.
When we translate the graph of a function f(x) d units to the left, it is transformed as:
