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Alexus [3.1K]
3 years ago
10

What is the range of the function in this table?

Mathematics
2 answers:
marin [14]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:

Choice B:  {1,2,4}

Discussion:

The range of the function is the set of "y" values shown in the table, which is  1,4,4,2. As sets do not contain duplicate elements, the range is {1,2,4). This is Choice B

Thank you,

MrB

lyudmila [28]3 years ago
5 0

Answer:

Range ( 1, 2, 4).

Step-by-step explanation:

Given  : Table of x and y.

To find : What is the range of the function in this table.

Solution : We have given table of x and y.

Range : range is the set of dependent values ( usually) of function on which the function is define.

Then , values of x are input values and values of y is depend on value of x.

So, Values of y are dependent values is the range.

Range ( 1, 2, 4).

Therefore, Range ( 1, 2, 4).

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Is 3 a factor of 73? ( Yes ) or ( No )
Mkey [24]

Answer:

The correct answer is no.

Step-by-step explanation:

If a number is a factor of another number, that means that it can be equally divided into it <em>evenly</em>.

I know that 3 x 20 = 60, and 73 - 60 = 13.

Since 3 is <em>not</em> a factor of 13, it is also <em>not</em> a factor of 73.

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6 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
I need help on this 2 problems please help​
Digiron [165]

Answer:

3. 294 m²

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SA = 6s², where 's' represents the measure of a side.

SA = 6(176)² = 185,856 mm²

6 0
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