C2 = a2 + b2
c2 = 20^2 + 28^2
c2 = 400 + 784
c2 = 1184
c = 34.4
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
Answer:
Answer in the link below.
Step-by-step explanation:
http://studenthelp.cpm.org/m/ProblemSolvingVideos/l/569869-5d-writing-equations/show_image?image_id=3290930
Answer:
-0.05
Step-by-step explanation:
This will become much easier if we can get the ugly decimal into a nice fraction form.
Start by recognising 
. This is almost correct except the fraction is out by some number of factors of 10 (because the 125 part is correct but the number of 0s isn't).
And hence we see that 
and now the cube root becomes easy to compute:
![\sqrt[3]{-0.000125} = \sqrt[3]{\frac{-1}{8000}} = \frac{\sqrt[3]{-1}}{\sqrt[3]{8000}} = \frac{-1}{20} = -0.05](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-0.000125%7D%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B-1%7D%7B8000%7D%7D%20%3D%20%5Cfrac%7B%5Csqrt%5B3%5D%7B-1%7D%7D%7B%5Csqrt%5B3%5D%7B8000%7D%7D%20%3D%20%5Cfrac%7B-1%7D%7B20%7D%20%3D%20-0.05)
.
Advanced: You ask for <em>all </em>real cube roots. however the function ![y=\sqrt[3]{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%7D)
is described as <em>bijective</em>. This means for all x, there is only one y corresponding to it. (And also for all y there is only one x corresponding to that). This means there can only ever be one cube root of any real number.
Answer:
f(-2) =8
Step-by-step explanation:
f(x) = 3x^2+x-2
Let x = -2
f(-2) = 3 * (-2)^2 + (-2) -2
= 3(4) -2 -2
=12 -2-2
=10 -2
=8
