Answer:
Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of
Step-by-step explanation:
Function A:
Function B:
Required
Which has a greater rate of change
The rate of change of function A is calculated as thus:
Where:
So, we have:
For function B
The general function is:
Where
m is the rate of change
By comparing to
So, we have that:
Function A has a rate of -5; function B has a rate of -4.5.
By comparison: -4.5 is greater than 5
Hence, function B has a greater rate.
Answer:
Step-by-step explanation:
The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.
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<h3>Given relation</h3>
Let x represent the width of the shed. Then the length is (2x+3), and the area is ...
A = LW
20 = (2x+3)(x) . . . . . area of the shed
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<h3>Solution</h3>
Completing the square gives ...
2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides
2(x +0.75)² = 21.125 . . . . . . . write as a square
x +0.75 = √10.5625 . . . . . divide by 2, take the square root
x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution
The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.
If you would like to simplify the difference <span>(–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x), you can do this using the following steps:
</span><span>(–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x) = -7x - 5x^4 + 5 + 7x^4 + 5 + 9x = 2x^4 + 2x + 10
The correct result would be </span><span>a. 2x^4 + 2x + 10.</span>
(x2 +1) (x2-4) (mark as brainiest)
Answer:
a.$167.03
Step-by-step explanation:
