Answer:
2(x + 2)² - 5
Step-by-step explanation:
Given
2x² + 8x + 3
To obtain the required form use the method of completing the square.
The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x
= 2(x² + 4x) + 3
add/subtract ( half the coefficient of the x- term)² to x² + 4x
= 2(x² + 2(2)x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
with p = 2 and q = - 5
Answer:
- multiplying a multi-digit number by itself several times (finding the power of a number)
- finding a square root
- statistical calculations
Step-by-step explanation:
We don't know what your introduction tells you, but the above-listed operations are ones I choose to use a calculator for. I also use a calculator for ordinary arithmetic, such as division by numbers with 2 digits or more. (It is simply faster and requires no scratch paper.)
If statistical calculations are not done with a calculator, they at least require the availability of suitable tables.
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All of these operations can be done by hand without a calculator, and were in times passed. Lifetimes of effort were involved in generating some of the original math tables for statistics, trig, logarithms, and other functions readily evaluated using a modern calculator.
Answer:
help on what?
Step-by-step explanation:
Answer:
13 cups
Step-by-step explanation:
If the small box has 10 cups, then:
<u> (small) </u> <u> 10 cups </u> = <u> 100% </u>
(medium) x cups = 130%
Now, cross multiply:
10 (130) = x (100)
1300 = 100x
x = 13
Another way to solve this is by turning 30% into a decimal:
30/100 = 0.3
10 (0.3) = 3
Now you have 30% of the 10 cups, but you need <u>30% more</u><em> </em>than the small box, so:
10 + 3 = 13 cups
One.
Two sides are the same, the base is 1m.