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butalik [34]
2 years ago
15

Helen’s father’s car can travel an average of 18.5 miles on 1 gallon of gasoline. Gas at the local station costs $3.79 per gallo

n.
a) Helen’s mom took the car to the gas station and hand the cashier a $10 bill. How much gas could she buy? Round your answer to the nearest hundredth of a gallon.
Mathematics
1 answer:
AlexFokin [52]2 years ago
5 0

9514 1404 393

Answer:

  2.64 gallons

Step-by-step explanation:

Each gallon costs $3.79, so the number of gallons that can be bought with $10 is ...

  $10/($3.79/gal) = (10/3.79) gal ≈ 2.6385 gal ≈ 2.64 gallons

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Find the area of the shape below.
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Area = (14 x 20) - ( 5 x 9)

Area = 280 - 45

Area = 235 square cm

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2 years ago
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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

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6 0
3 years ago
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Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?
Degger [83]

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Step-by-step explanation:

Recursive formula is the formula that is used to generate the next term of a sequence using previous term.

The general form of arithmetic sequence's recursive formula is:

a_n = a_{n-1}+d

Given

5,-1,-7,-13,-19

Here

a_1 = 5\\a_2 = -1\\a_3 = -7

First of all we have to find the common difference of the sequence.

So,

d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6

Putting the value of d in the general recursive formula

a_n = a_{n-1}-6

Hence,

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Keywords: Sequence, arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

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kirza4 [7]
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What is the greatest common factor for 9x^2 6x and show work
VMariaS [17]

Answer:

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9x^2 ?6x

9x? 6x

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highest number is 3x

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2 years ago
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