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LenaWriter [7]
2 years ago
11

Graph the linear inequality. 3x-y<6

Mathematics
1 answer:
Sphinxa [80]2 years ago
6 0

Answer:

Step-by-step explanation:

3 x - y < 6

dividing whole equation by 6 equation comes out to be

\frac{3x}{6}-\frac{y}{6}

\frac{x}{2}+\frac{y}{-6}

from the above equation we can clearly see that the x and y co-ordinate

x co-ordinate will be (2,0) where y coordinate will be(0,-6)

and the plot is given in the attachment given below.

where as the shaded portion gives the desired  region.

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Suppose h(t)=-0.2t squared +2t models the height in feet of ball that is kicked into the air where t is given as time in seconds
xz_007 [3.2K]
To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero. 
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Differentiating,
                               dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
                                   h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds. 

Answers: maximum height = 5 ft 
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4 0
3 years ago
Read 2 more answers
kaye has $2.80 in nickels and dimes. she has three timesas many dimes as nickels. how many nickels and how many dimes does she h
Vitek1552 [10]
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4 0
3 years ago
A 9-yard roll of string costs $3.42. What is the unit price?
Karolina [17]

<em>Answer:</em>

<em>$0.38 per yard</em>

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

<em>Step 1:</em>

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

<em>  Step 2:</em>

Convert $3.42 to cents

1 ~dollar=100~cents ~\\therefore,\\$3.42=3.42~x~100=342~cents~

<em>Step 3:</em>

<em>Find the unit price</em>

\frac{9 yard}{1 yard} =\frac{342 ~cents}{x~cents}

9x=342

\frac{9x}{9} =\frac{342}{9}

x=38~cents

<em>Convert to dollars</em>

x=\frac{38}{100}

x=0.38~per~yard

Hence the unit price is $0.38 per yard.

5 0
2 years ago
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<span>$21 times .06 = $1.26 in taxes and $21 times .15 = $3.15 in tip so you add $21+ 1.26 + 3.15 = $25.41

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Answer:

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Step-by-step explanation:

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