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Dmitry [639]
3 years ago
15

H=3+14t-5t^2 What is its maximum height

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

12.8

Step-by-step explanation:

Given a parabola in standard form , ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

h = 3 + 14t - 5t² ← is in standard form

with a = - 5 and b = 14, thus

x_{vertex} = - \frac{14}{-10} = 1.4

Substitute t = 1.4 into h for maximum height

h = 3 + 14(1.4) - 5(1.4)²

   = 3 + 19.6 - 9.8 = 12.8

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3 years ago
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Find the slope of the line given two points:
vesna_86 [32]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

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From the question the points are

(8, 10) and (-7, 14)

The slope is

m =  \frac{14 - 10}{ - 7 - 8}  =  \frac{4}{ - 15}  =  -  \frac{4}{15}  \\

We have the final answer as

-  \frac{4}{15}  \\

Hope this helps you

4 0
3 years ago
5. Adam drives his car with an average velocity of 85 km/h eastward. How long will it take him to drive
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Answer:

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Step-by-step explanation:

Adam drives at 85 km / h. Let's set up equivalent fractions to see how long if he drives 560 km.

\frac{85 km}{1  hr} = \frac{560 km}{x hr}

Cross-multiply:

85x = 560

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560/85 = x

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7 0
2 years ago
How to do composition of functions​
KengaRu [80]
<h2><u><em>If you rather have the link to get this info lmk!!</em></u></h2>

Example: f(x) = 2x+3 and g(x) = x2

"x" is just a placeholder. To avoid confusion let's just call it "input":

f(input) = 2(input)+3

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First we apply f, then apply g to that result:

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What if we reverse the order of f and g?

(f º g)(x) = f(g(x))

First we apply g, then apply f to that result:

Function Composition - (f º g)(x) = 2x2+3

We get a different result!  When we reverse the order the result is rarely the same.  So be careful which function comes first.

<h2 />
5 0
3 years ago
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bekas [8.4K]

Answer:

It's a line

Step-by-step explanation:

A line is not a three dimensional shape. I hope this helps :) also let me know if you got it right!

5 0
3 years ago
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