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11Alexandr11 [23.1K]
3 years ago
7

Problem Page A table of values of a linear function is shown below. x −1 0 1 2 3 y −6 −8 −10 −12 −14 Find the slope and y -inter

cept of the function's graph, and find the equation for the function.
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0
When x=0, y=-8, so that is the y-intercept.

When x increases by 1, y decreases by 2, so the slope is -2.

The equation of the function is
.. y = -2x -8
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The graph shows the function f(x).
Lerok [7]

The equation that represents the given data is  \RM \\f(x) = -\sqrt[3]{-x} , Option D is the correct answer.

<h3>What is a Function ?</h3>

It is a statement where two variables , one dependent and one independent are related.

It is given that

a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).

The equation given in the options are

\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}

The function goes through (8,2)

Substituting the values

f(x) = -2

f(x) = \sqrt[3]{7}

f(x) = -3

f(x) = 2

The equation that represents the given data is

\RM \\f(x) = -\sqrt[3]{-x} , Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

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6 0
2 years ago
A cylinder with a height of 12 cm has a volume of 1728 pi cm^ 3 What is the diameter of the cylinder?
blsea [12.9K]

Answer:

Step-by-step explanation:

let r be radius of the cylinder.

volume of cylinder=πr²h

1728π=πr²×12

r²=1728 π/12π=144

r=√144=12

diameter=2r=2×12=24 cm

3 0
3 years ago
Read 2 more answers
Which statement below is TRUE about |-2| and |-5|?
Lesechka [4]

Answer:

|-5| is greater than |-2|

Step-by-step explanation:

the absolute value of -5, is 5, which is greater than the absolute value of -2, which is 2. Have a wonderful rest of your day! I hope this helps!

8 0
3 years ago
Write your answer as an integer or as a decimal rounded to the nearest hundredth.
irina [24]

Answer:

<h3><X = 63</h3>

Step-by-step explanation:

USing SOH CAH TOA

sin theta = opposite/hypotenuse

sin <X = WV/VX

sin <X = 8/9

<X = arcsin(8/9)

<X = arcsin(0.8889)

<X = 62.7 degrees

Hence the value of x is approximately 63degrees

7 0
3 years ago
Scott and Ariel want to make as much as snack mix as possible, but no more than 25 cups of mix. I they can use only full cups of
photoshop1234 [79]

Answer:

hello your question has some missing parts attached below is the missing information

answer : Scott will make 5 snack mix without going over

Step-by-step explanation:

Given that:

Scott makes a snack  mix with ; 2 cups of Almonds and 3 cups of raisins

=  5cups per snacks mix

Ariel makes a snack mix with : 3 cups of almonds and 5 cups of sunflower seeds = 8 cups per snack mix

<u>Now back to your question above</u>

Given that : No more than 25  full cups is required to make a snack mix

For Scott

= 25 / 5 = 5 snack mix ( No make overs )

For Ariel

= 25 / 8 = 3.125 snack mix ( there is a makeover of 0.125 )

Hence it can be said that Scott will make the most mix without going over

8 0
3 years ago
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