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horsena [70]
3 years ago
8

Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)

Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪

Given :

f(x) =  {x}^{3}  + 2 {x}^{2}  + 3x + 1

g(x) = 4x - 5

let's solve for f(x) × g(x) :

( {x}^{3}  + 2x {}^{2}  + 3x + 1)(4x - 5)

4x {}^{4}  - 5 {x}^{3}  + 8 {x}^{3  }  - 10 {x}^{2}  + 12 {x}^{2}  - 15x + 4x - 5

4 {x}^{4}  + 3 {x}^{3}  + 2 {x}^{2}   - 11x - 5

therefore, correct choice is : D

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3 years ago
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Customers who purchase museum tickets in advance receive 10% off the regular admission price. Anias paid a sale price of $54. He
alisha [4.7K]

Answer:

Regular price of a ticket = $60

Step-by-step explanation:

Given:

On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.

Anias paid the sale price of ticket = $54

To find the regular price of ticket.

Solution:

Let the regular price of ticket in dollars be =x

Discount offered for booking in advance = 10%

Discount amount in dollars = Discount\ percent \times Regular\ price=10% \times x =0.10 \times x =0.1x

Sale price of a ticket in dollars= Regular price - Discount amount= x-0.1x=0.9x

Sale price given for a ticket = $54

So, we have:

0.9x=54

Dividing both sides by 0.9

\frac{0.9x}{0.9}=\frac{54}{0.9}

∴ x=60

∴ Regular price of a ticket = $60

6 0
3 years ago
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A box of cereal weighs 0.48 kilograms. What is the weight in pounds to the nearest hundredth of the cereal box
bagirrra123 [75]

Answer:

1.06

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5 0
3 years ago
Please help fast! Line segment AB was dilated to create line segment A’B’ using the dilation rule DQ0.12•
tankabanditka [31]

<u>Answer:</u>

The correct answer option is C. 13.6 units.

<u>Step-by-step explanation:</u>

Line segment AB was dilated to create the line segment A'B' using the dilation rule D_{Q, 0.15}.

We are to find the value of x which is the distance between the twp points A and A'.

For this, we will divide the distance of A'Q by the dilation factor and then subtract the given length.

\frac{2.4}{0.15} = 16

x = 16-2.4 = 13.6 units

4 0
3 years ago
There were 24 children hiding. Sonya found 3/4 of them. How many children did she fine?
Rzqust [24]

Answer:

She found 18 of them

Step-by-step explanation:

3/4 of 24 is 18

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3 years ago
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