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Vinvika [58]
3 years ago
11

How can you use the quadratic formula to complete a square?

Mathematics
2 answers:
Marina86 [1]3 years ago
6 0
It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.
notka56 [123]3 years ago
5 0
<span><span>Step 1 Divide all terms by a (the coefficient of x2).</span>Step 2 Move the number term (c/a) to the right side of the equation.<span>Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.</span></span>
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Complete the table. Use one of the approximate values for T discussed in class (for
gavmur [86]

Answer/Step-by-step Explanation:

Circumference of a circular object = πd

Where,

π = 3.14,

d = diameter

Circumference of hula pop with diameter of 35 in:

Circumference = πd = 3.14*35 = 109.9 in

Diameter of circular pond with a circumference of 556 ft:

556 = 3.14*d

Divide both sides by 3.14

556/3.14 = d

177.07 = d

d ≈ 117 in

Circumference of magnifying glass with a diameter of 5.2 in:

Circumference = πd = 3.14*5.2 = 16.328 ≈ 16.4 cm

Diameter of car tire with a circumference of 71.6 in:

71.6 = 3.14*d

Divide both sides by 3.14

71.6/3.14 = d

22.80 = d

d ≈ 22.8 in

7 0
4 years ago
A map of Brasilia has a scale of 1 inch to 5 miles. If the city is 2 7/16 inches across on the map, what is the distance across
Vinvika [58]
The answer is c because that is what the website said with the exact same question , I hope you don't need to show your work but the correct answer is c
7 0
3 years ago
Read 2 more answers
Which function could be shown in the graph below?
vodka [1.7K]
I am thinking is C but I am still not sure
6 0
4 years ago
Read 2 more answers
How do you use proofs to show that triangles are congruent
seropon [69]
Side Angle Side
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8 0
3 years ago
Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of​ sales, 16% on the next $7500 of​ sales, a
Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 ​= $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of​ sales, 16% on the next $ 7500 of​ sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

7 0
3 years ago
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