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Klio2033 [76]
3 years ago
13

a car manufacturer claims that their car can get 32 miles per gallon minus the speed factor. thus caj be modeled by linear equat

ioj f (×) =33 -015x where f(×) represents the miles per gallon and x is the mph . what would be the predicted miles per gallon for a car going 60 mph using this equation?
Mathematics
1 answer:
andriy [413]3 years ago
5 0

Answer:

f(x) = 24 miles per gallon

Step-by-step explanation:

car manufacturer claims that their car can get 33 miles per gallon minus the speed factor

f (×) =33 -0.15x

For a car going 60 mph

f (×) =33 -0.15x

X=60 mph

f (×) =33 -0.15x

f(x) = 33-0.15(60)

f(x) = 33-9

f(x) = 24 miles per gallon

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Lubov Fominskaja [6]

Distance between two points (-3, 4) and (5, -2) is 10 units.

Mid-point of the line segment joining (-1, -5) and (7, 1) is  (3, -2).

Degree of the given polynomial is 7.

6) Distance between two points (x_1, y_1) and (x_2, y_2) is:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

So, distance between two points (-3, 4) and (5, -2) is:

=\sqrt{(5-(-3))^2+(-2-4)^2}

=\sqrt{(8)^2+(-6)^2}

=\sqrt{64+36}

=\sqrt{100}

=10

So, option D is correct.

7) Mid-point of the line segment joining (x_1, y_1) and (x_2, y_2) is:

(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Mid-point of the line segment joining (-1, -5) and (7, 1) is:

(\frac{-1+7}{2}, \frac{-5+1}{2})

= (\frac{6}{2}, \frac{-4}{2})

= (3, -2)

So, option A is correct.

8) Degree of a polynomial is the highest power of the variable in the polynomial.

f(x)=3x^2-7x^4+9x^7+2x^3

Here, the highest power of the variable is 7.

So, option B is correct.

Learn more about distance formula, mid point formula, and degree of polynomial.

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2 years ago
What is the factored form of r^27-s^30
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(r^9 - s^10) (r^18 + r^9 s^10 + s^20) 
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yKpoI14uk [10]

Answer:

64

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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Maria invested $4,000 at 3.5% simple interest. She left the principal invested for 57 months. Robert invested $3,500 at 8.5% sim
Alex_Xolod [135]

Answer:

Maria have $123,75 more total money than Robert at the end of their investments.

Step-by-step explanation:

To calculate the simple interest we should multiply the Initial invest, with the interest without percentage and the time in years.

As the time is in months we have to divide it by 12 so we have the mesure of time in years, then the interest for each of the investments will be:

Maria

Invest = $4,000 Interest = 3.5/100=0.035  Time = 57/12 = 4.75

Simple Interest = 4,000 x 0.035 x 4.75 = $665

Total money at the end of the invest = $4,000 + $665 = $4,665

Robert

Invest = $3,500 Interest = 8.5/100=0.085  Time = 42/12 = 3.5

Simple Interest = 3,500 x 0.085 x 3.5 = $1,041.25

Total money at the end of the invest = $3,500 + $1,041.25 = $4,541.25

Now we have to subtract the total money of Robert from the total money of Maria to know how much money did she got over Robert after their invests

$4,665 - $4,541.25 = $123.75

At the end of the invest, Maria got $123,75 more than Robert

8 0
3 years ago
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