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loris [4]
2 years ago
5

Yesterday Jack drove 33 1/2 miles he used 1 1/4 gallons of gasoline what is the unit rate for miles per gallon

Mathematics
1 answer:
Ksivusya [100]2 years ago
8 0

Answer: 26 4/5 miles pee gallon

Step-by-step explanation:

From the question, we are informed that Jack drove 33 1/2 miles and that he used 1 1/4 gallons of gasoline. The unit rate for miles per gallon will be calculated by dividing 33 1/2 by 1 1/4. This will be:

= 33 1/2 ÷ 1 1/4

= 26 4/5 miles per gallon

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Wewaii [24]

Answer: #1. yes it's a function #6. the graph is increasing at (-oo , 2) , #7.  the graph is decreasing at (2,oo) ,

Step-by-step explanation:

hope it helps

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3 years ago
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Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1
ivolga24 [154]

Answer:

a^{3y} + 1  = (a^{y}+1 )^{3}  - 3a^y(a^{y}+1)\\\\

Step-by-step explanation:

We are to factorize the expression a^{3y} + 1 completely. To do this, we will apply the expression below;

The expression can be rewritten as a^{3y} + 1^{3}

To factorize the expression, we need to first factorize (a^{y}+1 )^{3} first

(a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2}  } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3}  = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3}  = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\

The we will make a^{3y} + 1^{3} the subject of the formula as shown;

(a^y)^{3} + 1 = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3}  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

(a^y)^{3} + 1  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

a^{3y} + 1  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

a^{3y} + 1  = (a^{y}+1 )^{3}  - 3a^y(a^{y}+1)\\\\

This last result gives the expansion of the expression

7 0
3 years ago
Need answer please ASAP
rusak2 [61]

Answer:

1)

Step-by-step explanation:

First you need to do your equation to..... =0 first

So you just minus 13 from 22 and get 9

Then you just do your completing the square

8 0
3 years ago
Find the equation of the line shown. y 4 3 2 1 Х -2 -3 4​
MakcuM [25]

Answer:

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or

y = 1/2x + 1/2

Step-by-step explanation:

y = mx + b

b is y-intercept:

when x = 0, y = 0.5 (when the line cross the vertical (y) axis of the graph)

the point is (0, 0.5) so b = 0.5

m is slope:

slope = rise / run

rise = 1

run = 2

for every 2 x values, y increase by 1

slope (m) = 1/2

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2 years ago
There are 98 international units of vitamin d in 1 cup of milk. The function V(c)=98c represents the amount V(c) of vitamin d, i
Dimas [21]

the answer is 0≤ c ≤16, 0≤ V(c) ≤1568

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3 years ago
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