Answer:
y = -2x + 2
Step-by-step explanation:
8 + 4/ -6
= -2
y = -2x + b
8 = -2(-3) + b
8 = 6 + b
2 = b
check work
-4 = -2(3) + 2
-4 = -6 + 2
-4 = -4
it is correct
Number of x intercepts in this equation is 2 because max power in the function is 2. number of x intercepts is determined by "highest power".
let x1 represent first x intercept and
let x2 represent second x intercept
Formula for finding average of x intercepts is logicaly:
Avg = (x1 + x2)/2
we want to find x1 and x2
4x^2 - 24x + 20 = 0
x^2 - 6x + 5 = 0
x1 = 5
x2 = 1
Avg = 3
Based on the fact that Kayden is the youngest and their ages are consecutive and add up to 90, the Kayden is 21.
<h3>How old is Kayden?</h3>
To find Kayden's age, assume that it is x and use the formula:
90 = x + (x + 1) + (x +2) + (x +3)
Solving for x gives:
90 = 4x + 6
4x = 90 - 6
x = 84 / 4
x = 21
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Answer:
the answer is 3
15/(2+3)
=15/5
=3
Step-by-step explanation:
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.