Answer:
Part 1) AJ drawn the parabola opening upwards, instead of drawing it opening downwards
Part 2) see the explanation
Step-by-step explanation:
Part 1) What mistake did AJ make in the graph?
we have
This is the equation of a vertical parabola written in vertex form
The parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
The vertex is the point (-2,-1)
therefore
AJ drawn the parabola opening upwards, instead of drawing it opening downwards
Part 2) Evaluate any two x-values (between -5 and 5) into AJ's function. Show your work. How does your work prove that AJ made a mistake in the graph?
take the values x=-4 and x=4
For x=-4
substitute the value of x in the quadratic equation
For x=4
substitute the value of x in the quadratic equation
According to AJ's graph for the value of x=-4 the function should be positive, however it is negative and for the value of x=4 the function should be positive and the function is negative
therefore
AJ made a mistake in the graph
(0,-1), (3,8) is the answer
9514 1404 393
Answer:
$2089
Step-by-step explanation:
One way to do this rounding is to add $0.50, then drop all of the fractional digits.
$2088.523125 + 0.50 = $2089.023125
Dropping all of the digits right of the decimal point gives $2089.
Answer:C. 3000 ft
Step-by-step explanation:
First, find the radius of the circumference.
By dividing 1000 ft by 2, which is 500, and that is the radius.
Then you multiply the radius by 3, which is 1500.
Finally, you want the circumference, to find the circumference you need to multiply the radius by 2, which is 3000 ft.
That’s it.
Answer:
EF = 8
Step-by-step explanation:
The following data were obtained from the question:
EF = 2x
FG = 8
EG = 4x
EF =?
To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:
EG = EF + FG
EF = 2x
FG = 8
EG = 4x
4x = 2x + 8
Collect like terms
4x – 2x = 8
2x = 8
Divide both side by 2
x = 8/2
x = 4
Therefore, the value of x is 4.
Finally, we shall determine the the value of EF as follow:
EF = 2x
x = 4
EF = 2x
EF = 2(4)
EF = 8
**** Check ****
EG = EF + FG
EF = 2x
EG = 4x
FG = 8
4x = 2x + 8
x = 4
4(4) = 2(4) + 8
16 = 8 + 8
16 = 16
