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3 years ago

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Determine weather the rule represents an exponential function. EASY 40 POINTS

1 answer:

joja [24]3 years ago

5 0

<h3>Answer: Since the independent variable x is not the exponent, y = 3x^3 is <u>not</u> an exponential function (choice D)</h3>

Exponential functions are something like y = 2^x where the variable is in the exponent (ie the exponent isnt a fixed number). What is given here, y = 3x^3, is a cubic function. You can also call this a power function. Power functions are of the form a*x^b, where a & b are constants.

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Which side lengths form a right triangle?

vampirchik [111]

Answer:

A and C

Step-by-step explanation:

<h3>A</h3>

$= \sqrt{ {5}^{2} + ( \sqrt{6})^{2} } \\ = \sqrt{25 + 6} \\ = \sqrt{31}$

<h3>C</h3>

$= \sqrt{ {9}^{2} + {12}^{2} } \\ = \sqrt{81 + 144} \\ = \sqrt{225} \\ = 15$

5 0

3 years ago

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The prism shown in the diagram has a volume of 39 units^3. What is the volume of the pyramid? Explain your reasoning. I WILL GIV

jolli1 [7]

The volume of the pyramid is 13 units³.

<h3>What is the volume of the pyramid?</h3>

A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.

Volume of a pyramid = 1/3 x prism

1/3 x 39 = 13

To learn more about rectangle pyramid, please check: brainly.com/question/9222686

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7 0

2 years ago

PLEASE HELP, THIS IS A BENCHMARK. WILL GIVE BRAINLIEST!

Ksivusya [100]

You need a picture of the shape.

7 0

3 years ago

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HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

tangare [24]

Answer:

$y=-(x-7)(x+3)$

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

$y=-(x+3)(x-7)$ but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is $y=a(x-h)^2+k$ .

This is called vertex form because it gives you the vertex is $(h,k)$ .

We are given that $(h,k)=(2,25)$ which makes our equation:

$y=a(x-2)^2+25$ .

We can find the value of $a$ by plugging in the x-intercept (7,0) for $(x,y)$ into:

$y=a(x-2)^2+25$

$0=a(7-2)^2+25$

$0=a(5)^2+25$

Subtract 25 on both sides:

$-25=a(5)^2$

$-25=a(25)$

Divide both sides by 25:

$\frac{-25}{25}=a$

$-1=a$ .

So the equation for the quadratic is:

$y=-1(x-2)^2+25$

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

$y=-1(x-2)(x-2)+25$

$y=-1(x^2-2x-2x+4)+25$

$y=-1(x^2-4x+4)+25$

$y=-x^2+4x-4+25$

$y=-x^2+4x+21$

Factor out -1:

$y=-(x^2-4x-21)$

WE need to find two numbers that multiply to be -21 and add to be -4:

$y=-(x-7)(x+3)$

8 0

3 years ago

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Find the slope of each line.

Jlenok [28]

Answer:

5/7

Step-by-step explanation:

8 0

3 years ago