Answer:
It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4
Step-by-step explanation:
X/58 (is roughly) 30
x/58 = 30
Multiply 58 on both sides.
x = 1,740
So it has to be c. 1,843
Answer:
D. F(x) = 2(x-3)^2 + 3
Step-by-step explanation:
We are told that the graph of G(x) = x^2, which is a parabola centered at (0, 0)
We are also told that the graph of the function F(x) resembles the graph of the function G(x) but has been shifted and stretched.
The graph of F(x) shown is facing up, so we know that it is multiplied by a <em>positive</em> number. This means we can eliminate A and C because they are both multiplied by -2.
Our two equations left are:
B. F(x) = 2(x+3)^2 + 3
D. F(x) = 2(x-3)^2 + 3
Well, we can see that the base of our parabola is (3, 3), so let's plug in the x value, 3, and see which equation gives us a y-value of 3.
y = 2(3+3)^2 + 3 =
2(6)^2 + 3 =
2·36 + 3 =
72 + 3 =
75
That one didn't give us a y value of 3.
y = 2(3-3)^2 + 3 =
2(0)^2 + 3 =
2·0 + 3 =
0 + 3 =
3
This equation gives us an x-value of 3 and a y-value of 3, which is what we wanted, so our answer is:
D. F(x) = 2(x-3)^2 + 3
Hopefully this helps you to understand parabolas better.
Answer:
Together they will complete the order in 6/5 hours.
Step-by-step explanation:
Lisa an experience shipping clerk can fill a certain order in 2 hours.
Jim a new clerk needs 3 hours to do the same job working.
For 1 hours Lisa can fill 1/2 a order.
For 1 hours Jim can fill 1/3 a order.
For 1 hours togethers can fill 1/2+ 1/3=5/6 a order.
We have the following proportion:
Together they will complete the order in 6/5 hours.
Answer:
x⋅(2x+1)⋅(2x+3)⋅(3x−2)
Step-by-step explanation:
Equation at the end of step 1
(((12•(x4))+(16•(x3)))-7x2)-6x
STEP
2
:
Equation at the end of step
2
:
(((12 • (x4)) + 24x3) - 7x2) - 6x
STEP
3
:
Equation at the end of step
3
:
(((22•3x4) + 24x3) - 7x2) - 6x
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
12x4 + 16x3 - 7x2 - 6x =
x • (12x3 + 16x2 - 7x - 6)
Checking for a perfect cube :
5.2 12x3 + 16x2 - 7x - 6 is not a perfect cube
