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3 years ago

What are the domain and range of the function h(x) = - + (x - 4)2 + 3?

Mathematics

1 answer:

lisov135 [29]3 years ago

3 0

Answer:

(- infinite, infinite) , {x| x sum r}

range ) (-infinite. infinite) .{y|sumR}

Step-by-step explanation:

graphic picture

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Ira can use the greatest common factor to rewrite 75+30 as <br> (5+<br> ).

Sonja [21]

Answer:

Step-by-step explanation:

15(5+2) is the Answer

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3 years ago

The volume (in cubic meters), vvv, of a rectangular prism is given by the expression: v = a^4-2a^2b^2+b^4v=a 4 −2a 2 b 2 +b 4 v,

zhannawk [14.2K]

Answer:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

Step-by-step explanation:

The given expression that represents the volume of the rectangular prism is:

$v = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4}$

We can rewrite this to reveal a perfect square pattern.

$v =( { {a}^{2}) }^{2} - 2 {a}^{2} {b}^{2} + ( {b}^{2})^{2}$

We factor using perfect squares to obtain:

$v = ( {a}^{2} - {b}^{2} )^{2}$

$v = ( {a}^{2} - {b}^{2} )( {a}^{2} - {b}^{2} )$

Volume is three dimensional so we need a third factor different from 1.

We further factor one of the difference of two squares to get:

$v = ( {a}^{2} - {b}^{2})(a - b)(a + b)$

So pick the following unique dimensions from the possible answers:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

6 0

3 years ago

The graph represents the piecewise function:

Anna [14]

Answer:

in the attachment

Step-by-step explanation:

Given: Piece-wise function graph.

We need to find the function.

In the graph, we can see a two-piece

For -3≤x≤0

Endpoints on graph (-3,-6) and (0,0)

It is the horizontal line. The equation of the horizontal line is y=k.

Equation: y=3

Now, we write as a piecewise function.

First blank = 2x

Second Blank = 3

hope this helps:)

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2 years ago

A football is kicked into the air. Its height above the ground is approximated by the equation h=20t-5<img src="https://tex.z-dn

Anastaziya [24]

Answer:

Zeroes - x=0 and x=4

Football hits the ground at x=4 (4 seconds)

Step-by-step explanation:

1) Plug equation in graphing calculator and graph function.

2) Find zeroes

3) The second zero is when the football hits the ground

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2 years ago

What is the GCF of 40 and 21

trasher [3.6K]

40 and 21 do not have common factors, except for one. So the answer is 1.

5 0

3 years ago

Read 2 more answers