SOLUTION: 1. the perimeter of a five sided figure with sides 2x-3 cm plus 2x-3 cm plus 12 cm plus 2x cm plus x square is 78 cm. what is the value of x? 2. which table shows the same rate

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Question 982866: 1. the perimeter of a five sided figure with sides 2x-3 cm plus 2x-3 cm plus 12 cm plus 2x cm plus x square is 78 cm. what is the value of x?
2. which table shows the same rate of change of y with respect to x as
y = 4 - 5/8x? how to find the rate of change with values of (-4, 6.5),
(2, 2.75), (4, 1.5), (8, -1).
3. which inequality is equivalent to -3x + 2y > 5y + 9?
4. solve the quadratic equation -4.5x squared + 72 = 0
5. if f(x) is 2/3x squared + 8x, what is the value of f(6)?
I got 56 which is the wrong answer.

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
Please limit to one question per post.
.
1. the perimeter of a five sided figure with sides 2x-3 cm plus 2x-3 cm plus 12 cm plus 2x cm plus x square is 78 cm. what is the value of x?
2x-3cm+2x-3cm+12cm+2xcm+x^2=x^2+6x+6=78cm
x^2+6x+6=78cm
x^2+6x-72=0
(x-6)(x+12)=0
x-6=0 OR x+12=0
x=6cm OR x=-12cm
.
2. No tables given to choose which.
.
3. Which inequality is equivalent to -3x + 2y > 5y + 9?
-3x-3y>9
x+y<-3
.
4. solve the quadratic equation -4.5x squared + 72 = 0
-4.5x^2+72=0 Multiply by -2
9x^2-144=0
(3x-12)(3x+12)=0
3x-12=0 OR 3x+12=0
3x=12 OR 3x=-12
x=4 OR x=-4
.
5. if f(x) is 2/3x squared + 8x, what is the value of f(6)?
I got 56 which is the wrong answer.
.
It depends on the intent of the equation. The problem is ambiguous.
Use parentheses to clarify:
.
f(6)=48 and 1/81
.
f(6)=72
.
f(6)=48 and 1/54

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