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3241004551 [841]
3 years ago
5

Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals

negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction.x + shown on the graph? (–2.7, 2.1) (–2.1, 2.7) (2.1, 2.7) (2.7, 2.1)

Mathematics
2 answers:
almond37 [142]3 years ago
6 0

Answer:

<h2>Its A.</h2>

(–2.7, 2.1)

Elena L [17]3 years ago
4 0

Answer:

The approximate solution of the system of equations is the point (-2.7,2.1)

Step-by-step explanation:

we have

y=0.5x+3.5 -----> equation A

y=-\frac{2}{3}x+\frac{1}{3} -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (-2.714,2.143)

see the attached figure

therefore

The approximate solution of the system of equations is the point (-2.7,2.1)

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity
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Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

h(t)=-16t^{2}+64t+180

Where h(t) is the height of the rock at a time t.

Now, if  h(t)=48 ft we can find t and then the velocity of the rock at that height:

48=-16t^{2}+64t+180

Rearranging the equation:

-16t^{2}+64t+132=0

Multiplying the equation by -1:

16t^{2}-64t-132=0

Solving with the quadratic formula t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}  , where a=16, b=-64, c=-132 .

t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}

Choosing the positive result of the equation:

t=5.5 s  

Since velocity V is defined as the traveled distance h(t) in a given time t, we have:

V=\frac{h(t)}{t}

V=\frac{48 ft}{5.5 s}

V=8.727 ft/s \approx 8.73 ft/s This is the velocity of the rock at the height of 48 feet

7 0
2 years ago
A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long,
artcher [175]
8ft is the length of the rope on the outside of the tent. I hope its right!
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A rectangle has perimeter 182 in. and length 52 in. What is the width
Degger [83]

Answer:

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Step-by-step explanation:

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Let the sample be 11, 3, 4, 3, 5, 7, 8, 12. What is the range of the sample?
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Step-by-step explanation:

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