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levacccp [35]
3 years ago
12

If f(x) and g(x) are quadratic functions but (f+g)(x) produces true graph below, hutch statement must be true ?

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:

A. the leading coefficients of f (x) and g (x) are opposites

Step-by-step explanation:

A. the leading coefficients of f (x) and g (x) are opposites

A quadratic function in its generic form is:

 f (x) = ax2 + bx + c

 g (x) = dx2 + ex + f

 The sum of the functions is:

 (f + g) (x) = (a + d) x2 + (b + e) x + (c + f)

 For the function to be linear necessarily:

 a = -d

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Lyla is shopping for school supplies. She has $20.00 to spend. She plans to buy a package of pens for $4.98. She also wants to b
Ket [755]
<h3><em><u>Question:</u></em></h3>

Lyla is shopping for school supplies. She has $20.00 to spend. She

plans to buy a package of pens for $4.98. She also wants to buy a

calculator. All calculators are being sold for 30 percent less than the

original price. write an inequality that can be used to find the original price, x, of a calculator lyla can buy.

<h3><em><u>Answer:</u></em></h3>

4.98+0.7x\leq 20 inequality that can be used to find the original price, x, of a calculator lyla can buy

<h3><em><u>Solution:</u></em></h3>

Given that,

Lyla has $ 20 to spend

So she can spend entire $ 20 or less than $ 20

Total amount she has = $ 20

She  plans to buy a package of pens for $4.98

Cost of package of pens = $ 4.98

She also wants to buy a  calculator

Let "x" be the original price of calculator

All calculators are being sold for 30 percent less than the  original price

Selling price of calculator = original price - 30 % of original price

Selling price of calculator = x - 30 % of x = x - 0.3x = 0.7x

Selling price of calculator = 0.7x

<em><u>Thus a inequality can be framed as:</u></em>

Cost of package of pens + Selling price of calculator \leq 20

4.98+0.7x\leq 20

This means that, combined cost of package of pen and selling price of calculator must be less than or equal to the amount with Lyla ( 20 $ )

Thus the inequality is found

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