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3 years ago

F(x) = 2x^2 – 3x – 9 g(x) = 4x^2 - 9 Find ( f/g)(x).

Mathematics

1 answer:

Tomtit [17]3 years ago

3 0

Answer:

(f/g)x = (x - 3)/(2x - 3)

Step-by-step explanation:

Try and see if f(x) can be factored.

g(x) = (2x - 3) (2x + 3)

That means that perhaps f(x) has one of these two factors.

(2x 3)(x 3)

You want the 2x and 3 to multiply. The middle term has to be -, so when 2x and 3 multiply likely it is 3 that gives you the minus answer.

(2x + 3)(x - 3) should be the way f(x) factors, and it is.

f(x) / g(x) = (2x + 3) (x - 3)

(2x + 3)(2x - 3)

2x + 3 cancels. The answer is

(f/g)x = (x - 3)/(2x - 3)

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Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)

Natasha_Volkova [10]

Answers:

A: 11(2x-1)

B: 121 cupcakes

Step-by-step explanation:

Part A:

We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

$5(2x -4) + 3(3 + 4x)$

Applying distributive property:

$10x-20+9+12x$

Grouping similar terms:

$22x-11$

Applying common factor $11$ :

$11(2x-1)$ This is the simplified expression

Part B:

Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if $x=6$ :

$11(2(6)-1)$

$11(12-1)=11(11)=121$ Hence, Mrs. Jones baked 121 cupcakes last week

7 0

3 years ago

Data: the range, mean, median, and 46 22 46 49 45 39 40 42 41 39 40 36 4. 5. Range: _______________ Median: ______________ Data:

oksian1 [2.3K]

Answer:

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3 years ago

An urn contains 6 red balls, 8 green balls, and 10 white balls. If balls are selected one by one (without replacing them after t

PIT_PIT [208]

Answer:

0.43478

Step-by-step explanation:

From the information given:

$The \ required \ probability = P(1st ball = red) \times P(2nd ball = red) + P(1st ball = red) \times P(2nd ball = white) + P(2nd ball = red) \times P(1st ball = white) + P(1st ball = white) \times P(2nd ball = white)$

$= \dfrac{6}{6+8+10}\times \dfrac{5}{5+8+10} + \dfrac{6}{6+8+10} \times \dfrac{10}{5+8+10} + \dfrac{10}{6+8+10} \times \dfrac{6}{5+8+10} \times \dfrac{10}{6+8+10} \times \dfrac{9}{5+8+9}$

$=(\dfrac{6}{24}\times \dfrac{5}{23})+ (\dfrac{6}{24}\times \dfrac{10}{23}) +( \dfrac{10}{24}\times \dfrac{6}{23} ) + (\dfrac{10}{24}\times \dfrac{9}{23})$

= 0.05434782609 + 0.1086956522 + 0.1086956522 + 0.1630434783

= 0.4347826088

≅ 0.43478

8 0

3 years ago

Colin invests £4000 into his bank account. He receives 5% per year simple interest. How much will Colin have after 3 years? Give

MakcuM [25]

Answer:

2750

Step-by-step explanation:

7 0

3 years ago

HELP ASAP!!!!!

Sergeu [11.5K]

Answer: Y= - 1/2x - 8
If you move y to one side by itself that’s what you’ll get and you can check this answer by multiplying each side by 2 and moving the x ti the left side and you’ll get your beginning equation

If it not right feel free to comment and tell me

6 0

3 years ago