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svetlana [45]
3 years ago
6

The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which s

tatement is true about this situation?
A.

The height of the ball is the same after 1 second and 3 seconds.

B.

The height of the ball is the same after 0 seconds and 4 seconds.

C.

The height of the ball is the same after 0.5 second and 5.5 seconds.

D.

The height of the ball is the same after 1.5 seconds and 3.5 seconds.
Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:

A. The height of the ball is the same after 1 second and 3 seconds.

Step-by-step explanation:

The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.

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The table of vaules represents a linear function g(x) where X is the number of days that have passed and g(x) is the blance in t
Step2247 [10]

Answer:

Step-by-step explanation:

The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}

Filling in this formula with 2 different points 2 times will ensure that this is fact a linear function. In other words, if the slope comes up the same between points 1 and 2 and then between points 2 and 3, this is linear.

Between (0, 600) and (3, 720) the slope formula is

m=\frac{720-600}{3-0}=\frac{120}{3}=40  and

m=\frac{840-720}{6-3}=\frac{120}{3}=40 So this is in fact linear because the slopes are the same.

Interpreting a slope is similar to interpreting a unit ratio. In our case, the slope means that after the initial investment in the account, $40 per day (there's the unit rate I was referring to) is deposited into the account.

Using that slope to write first the point-slope form of the line allows us to use any one of the 3 coordinates to write the equation. I use (0, 600). In point-slope form:

y-600=40(x-0)

That's point-slope form. Now for slope-intercept form, which is the same as solving for y.

y - 600 = 40x - 0 and

y = 40x + 600. That's slope-intercept, and now for standard form. Standard form follows the format of a. No fractions and b. Both the x and y terms go on the same side of the equals sign and the constant on the other.

We move the x term over to the y side:

-40x + y = 600. But a lot of textbooks don't like to lead with a negative, so the equivalent form of this with a positive leading coefficient is

40x - y = -600 (notice that all we did was change ALL the signs to the opposite of what they were, not just the sign on the x term. Very important!!)

8 0
3 years ago
given the function f(x) = 2^x, find the value of f−1(32). (1 point) f−1(32) = 0 f−1(32) = 1 f−1(32) = 5 f−1(32) = 16
EastWind [94]

Answer:

5

Step-by-step explanation:

The inverse of f(x)=2^x is g(x)=\log_2(x).

g(32)=\log_2(32)

\log_2(32)=5 since 2^5=32.

g(32)=\log_2(32)=5

Note: In general, the inverse of f(x)=a^x is g(x)=\log_a(x).

7 0
3 years ago
What is x-3=14 x-2=y
Umnica [9.8K]

Answer:

x=17

y=15

Step-by-step explanation:

First plug in the numbers:

x-3=14 x-2=y

What does 3+14=? Well it should equal 17 if added properly.

So then this would be true 17-3=14.

Then if x-2=y you could write 17-2=15. Then y=15

4 0
3 years ago
Can someone help me, please
Olegator [25]
The answer is C because it’s constant but starts further down
3 0
2 years ago
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Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?
Butoxors [25]
12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people
6 0
3 years ago
Read 2 more answers
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