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2 years ago

A system of linear equations is graphed below. What is the solution to the system?

Mathematics

2 answers:

zysi [14]2 years ago

3 0

(-3,2)

Explanation: u just have to find the point where the two line intersects to each other

telo118 [61]2 years ago

3 0

Answer:

Looking at the graph, the point at which the 2 lines cross is

x = -3 and y = 2

That is the solution.

Step-by-step explanation:

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Convert 0.55555 into a fraction

DiKsa [7]

Answer:1/5

Step-by-step explanation:

Round the . And get the answer

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2 years ago

Read 2 more answers

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

iris [78.8K]

Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

$y=-16x^2+242x+73$

We ned to find the time when the rocket will the ground. For this, y = 0

$-16x^2+242x+73=0$

It is a quadratic equation whose solution is given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = -16, b = 242 and c = 73

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s$

Neglecting negative value.

So, it will hit the ground in 15.42 s.

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2 years ago

Write -3x^2-18-31 in vertex form.

chubhunter [2.5K]

Get into form a(x-h)²+k

complete the square

-3x²-18x-31
group x terms
(-3x²-18x)-31
undistribute the -3
-3(x²+6x)-31
take 1/2 of the linear coefient (6) and squaer it
6/2=3, 3²=9
add positive and negative of it inside parenthasees
-3(x²+6x+9-9)-31
complete the square
-3((x+3)²-9)-31
expand
-3(x+3)²+27-31
-3(x+3)²-4 is vertex form

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2 years ago

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a_sh-v [17]

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3 years ago

What is an expression that equals 24 but includes an exponet

quester [9]

3 x (2)³ is an expression that's equal to 24 .

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