Answer: 10 dimes
Solve using system of equations.
q=number of quarters and d=number of dimes
.25q+.10d=5.50 because the total of dimes and quarters is $5.50
8+d=q because there are 8 more quarters than dimes
substitute 8+d for q into the first equation to get .25(8+d)+.10d=5.50
then simplify
2+.35d=5.50
.35d=3.50
d=10 he has 10 dimes
Answer:
2
Step-by-step explanation:
(8-x)(8+x)
8×8=64
-x·+x=-x^2
64-x^2
Number of widgets needed to make one motor = 11
Number of motors made each day = 4
Number of widgets used per day :-
= 4 × 11
= 44 widgets
Number of widgets I need to order for the next five days of the upcoming week :-
= 44 × 5
= 220 widgets
Therefore , my team should order 220 widgets for the next week ( 5 working days ) .
Answer:
7^9
Step-by-step explanation:
When dealing with exponents inside and outside parenthesis with only one term in the parenthesis, you multiply the exponents. By doing this, you get 7^3x3, which is 7^9
Answer:
Step-by-step explanation:
Given:
The quadratic function is given as:
The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
![-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4](https://tex.z-dn.net/?f=-x%5E2%2B2x%3D-%28x%5E2-2x%29%3D-%5B%28x-2%29%5E2-2%5E2%5D%3D-%5B%28x-2%29%5E2-4%5D%3D-%28x-2%29%5E2%2B4)
Now, can be rewritten as:
Therefore, the standard form of the function is:
