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const2013 [10]
3 years ago
9

Solve the system of linear equations by graphing. y=2x−3 y=x+2

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0

Step-by-step explanation:

y=2x−3

y=x+2

y=-3

x=3/2

for the second line

y=2

x=-2

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Make two questions based on this graph.
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Sandra throws an object straight up into the air with initial velocity of 38 ft per square from platform that is 30 ft above the
expeople1 [14]

Answer:

3 seconds.

Step-by-step explanation:

We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.

To find the time it will take for object to hit the ground, we will use formula:  

h(t)=-16t^2+v_0t+h_0, where, v_0 represents initial velocity and h_0 represents initial height.

Upon substituting our given initial velocity and initial height, we will get:

h(t)=-16t^2+38t+30

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

-16t^2+38t+30=0

Divide by 2:

-8t^2+19t+15=0

Upon using quadratic formula, we will get:

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-19\pm\sqrt{19^2-4(-8)(15)}}{2(-8)}

t=\frac{-19\pm\sqrt{361+480}}{-16}=\frac{-19\pm\sqrt{841}}{-16}

t=\frac{-19\pm29}{-16}

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7 0
3 years ago
a randon sample of 16 bookcases in one company have a mean height of 67.5 inches and a standard deviation of 2.1 inches. Constru
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Answer:

For 99% of confidence interval is 67.5±1.3524

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Given:

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Standard deviation:2.1 inches

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No of samples 16.

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confidence interval

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We have formula for confidence interval,

=mean ±Z*{standard deviation/sqrt(no.of observation)}

Now

Z=99%

has  standard  value as ,

Z=2.576

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=67.5±2.576(2.1/4)

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3 years ago
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Hunter-Best [27]

Answer:

The answer is 9

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