Answer: the length of the base is 290ft
The width of the base is 175 ft
Step-by-step explanation:
The base of the building is rectangular in shape.
Let L represent the length of the base of the building.
Let W represent the width of the base of the building.
The length of the base measures 60 ft less than twice the width. This means that
L = 2W - 60 - - - - - - - - -1
The perimeter of a rectangle is expressed as 2(length + width).
The perimeter of this base is 930ft. It means that
2(L + W) = 930
L + W = 930/2 = 465- - - - - - 2
Substituting equation 1 into equation 2 , it becomes
2W - 60 + W = 465
3W = 465 + 60 = 525
W = 525/3 = 175
L = 465 - W = 465 - 175
L = 290
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3
Let's check all functions.
1. The function f(x)=x²<span>+2x when evaluated with 3 gives you the value of 3:
Evaluated with x means that</span> x = 3.
f(3) = 3² + 2 * 3 = 9 + 6 = 15
15 ≠ 3, so, this is not correct.
2. f(x)=x²<span>-3x when evaulated with -3 give you the value of 3
Evaluated with -3 means that x = -3.
(f-3) = (-3)</span>² - 3 * (-3) = 9 + 9 = 18
18 ≠ 3, so, this is not correct.
3. f(x)=x²<span>+2x when evaluated with -3 gives you the value of 3
</span> Evaluated with -3 means that x = -3.
f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
3 = 3, so this is correct.
4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
Evaluated with 3 means that x = 3.
f(3) = (3)² - 3 * 3 = 9 - 9 = 0
0 ≠ 3, so this is not correct.
<h3>Given</h3>
... f(x) = x² -4x +1
<h3>Find</h3>
... a) f(-8)
... b) f(x+9)
... c) f(-x)
<h3>Solution</h3>
In each case, put the function argument where x is, then simplify.
a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97
b) f(x+9) = (x+9)² -4(x+9) +1
... = x² +18x +81 -4x -36 +1
... f(x+9) = x² +14x +46
c) f(-x) = (-x)² -4(-x) +1
... f(-x) = x² +4x +1
Answer:
Answer: -3/2
Step-by-step explanation:
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