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Brilliant_brown [7]
3 years ago
7

Find the particular equation of quadratic function containing (-2,-11) (4,13) and (6,29)

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
F(x) = a*x^2 + b*x + c; where a is not 0;
f(-2) = -11 => 4a -2b + c = -11;
f(4) = 13 => 16a +4b + c = 13;
f(6) = 29 => 36a + 6b + c = 29;
You must find a, b, c;
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Construct an isosceles right-angled triangle ∆PQR where ∠ =90° and QR=4cm.
stepan [7]

Answer:

Isosceles right-angled triangle ∆PQR in the picture

6 0
3 years ago
Big Enos loves Coors beer but he lives in Georgia and nobody sells Coors east of Texas. So he offers to pay Cletus "The Snowman"
Alik [6]

Answer:

Snowman Expenses:

a) Income Tax deductible expenses:

Payment for 400 cases of beer = $10,000

Payment for fuel = $650

Total = $10,650

b) The expenses above are allowable because they are "ordinary and necessary expenses incurred in carrying on any trade or business."  IRS Code 162.

c) The bribe paid to the Sheriff of $1,000 is not allowable under the same code.

d)  Such payments are not allowable because, according to IRS Code 162  section C: 1 and 2, they are described as "Illegal bribes, kickbacks, and other payments" and "other illegal payments."

Step-by-step explanation:

a) According to the Internal Revenue Code 162 which details trade or business expenses, section A specifically state that "There shall be allowed as a deduction all the ordinary and necessary expenses paid or incurred during the taxable year in carrying on any trade or business, including—

(1)a reasonable allowance for salaries or other compensation for personal services actually rendered;

(2)traveling expenses (including amounts expended for meals and lodging other than amounts which are lavish or extravagant under the circumstances) while away from home in the pursuit of a trade or business; and ..."

b) Bribes are illegal payments prohibited by states law.  Snowman paid the payment in order not to get his vehicle impounded and himself imprisoned, according to the Sheriff's threats.  That he was over-speeding in order to meet his business appointment does not guarantee him the right to bribe a government official.

7 0
4 years ago
Earl is ordering supplies. Yellow paper costs $4.00 per ream while white paper costs $7.50 per ream. He would like to order 100
Eddi Din [679]

Answer:

Earl should order 76 yellow paper reams and 24 white paper reams.

Step-by-step explanation:

This problem can be computed as system of equations.

I will say that x is the number of yellow paper reams and that y is the number of white paper reams.

Earl will order 100 reams in total, so

x + y = 100

He has a budget of $484, so this is what he is going to spend. Each yellow paper ream(x) costs $4.00 and each white paper ream costs $7.50, so we know that

4x + 7.5y = 484

To know how many reams of each color should he order, we need to solve the following system of equations

1) x + y = 100

2) 4x + 7.5y = 484

I am going to write x as a function of y in equation 1), and then replace it in equation 2).

x = 100-y

Now replacing in equation 2)

4(100-y) + 7.5y = 484

400 - 4y + 7.5y = 484

3.5y = 84

y = 24.

Returning to equation 1)

x = 100-y = 100-24 = 76

So, Earl should order 76 yellow paper reams and 24 white paper reams.

5 0
3 years ago
Which expression is equivalent to 144 Superscript three-halves? 216 1,728 RootIndex 3 StartRoot 12 EndRoot RootIndex 3 StartRoot
Afina-wow [57]

Question:

Which expression is equivalent to 144^(3/2)

Answer:

1728

Step-by-step explanation:

The options are not well presented. However, this is the solution to the question.

Given:

144^(3/2)

Required:

Find Equivalent.

We start my making use of the following law of logarithm.

A^(m/n) = (A^m)^1/n

So,

144^(3/2) = (144³)^½

Another law of indices is that

A^½ = √A

So,

144^(3/2) = (144³)^½ = √(144³)

144³ can be expanded as 144 * 144 * 144.

This gives

144^(3/2) = √(144 * 144 * 144)

The square root can then be splitted to

144^(3/2) = √144 * √144 * √144

144^(3/2) = 12 * 12 * 12

144^(3/2) = 1728.

Hence, the equivalent of 144^(3/2) is 1728

8 0
3 years ago
Read 2 more answers
Someone please explain this to me
victus00 [196]
Ok sum everything she buys to get the total
24.99 + 14.99 + 7.49 = 47.47
Now she gave 50$ bill but she only bought the total for 47.47$ that means she will get some money back because she overpaid.
50 - 47.47 = 2.53$
7 0
3 years ago
Read 2 more answers
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