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Yuri [45]
3 years ago
13

Consider the following.

Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

Step-by-step explanation:

jack is correct

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Which of the following functions has an inverse that is not a function?
Rainbow [258]

Answer:

f(x) = x(x - 1)

Step-by-step explanation:

The inverse of a quadratic function is not a function.

4 0
2 years ago
A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40
malfutka [58]
PART A

The given equation is

h(t) = - 16 {t}^{2} + 40t + 4

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4

We add and subtract

- 16(- \frac{5}{4} )^{2}

to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4

We again factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4

This implies that,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4

The quadratic trinomial above is a perfect square.

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4

This finally simplifies to,

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29

The vertex of this function is

V( \frac{5}{4} ,29)

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

29

PART B

When the ball hits the ground,

h(t) = 0

This implies that,

- 16 ( t- \frac{5}{4}) ^{2} +29 = 0

We add -29 to both sides to get,

- 16 ( t- \frac{5}{4}) ^{2} = - 29

This implies that,

( t- \frac{5}{4}) ^{2} = \frac{29}{16}

t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }

t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}

t = \frac{ 5 + \sqrt{29} }{4} = 2.60

or

t = \frac{ 5 - \sqrt{29} }{4} = - 0.10

Since time cannot be negative, we discard the negative value and pick,

t = 2.60s
8 0
3 years ago
What is the greatest factor of 52 that is a prime number?
Sophie [7]
<em></em>Factors of 52 = 1, 2, 4, 13, 26, 52.

The greatest factor of 52 that is a prime number is 13.
6 0
3 years ago
I will mark brainlest
Anna71 [15]

Answer:

1 / 4 ( or ) 0.25

Step-by-step explanation:

Let the missing number be " x ".

12 . x = 3

x = 3 / 12

x = 1 / 4

( or )

x = 0.25

3 0
3 years ago
Read 2 more answers
9. $10.542 rounded to the nearest hundredths place is $ _______
andrew11 [14]

Answer:Answer:$10.54

<h2>( I need 20 characters)</h2><h2></h2>

5 0
3 years ago
Read 2 more answers
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