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AURORKA [14]
3 years ago
8

Worth 50 points and I will mark brainliest.

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

x= -13 , y=11

Step-by-step explanation:

Using elimination method, make the x variable equal to eliminate the variable

-3x - y = -28

2x+ 3y=7

2(-3x-y =28)

3(2x+3y=7)

-6x - 2y =56

6x +9y=21

Apply addition

7y = 77

y=77/7 = 11

Use the value of y=11 in  

2x+ 3y=7

2x +3(11) =7

2x +33 =7

2x=7-33

2x= -26

x= -26/2 = -13

Learn More

Solving simultaneous equations :brainly.com/question/12318095

Keywords ; linear combination method,equations, justify,steps

#LearnwithBrainly

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8 0
3 years ago
A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time
galben [10]

Answer:

The height at time of 12.1 seconds is approximately 729.2562 feet

Step-by-step explanation:

The general form of the quadratic regression equation is y = A + Bx + Cx²

The quadratic regression formula is given as follows;

B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}

C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}

A = \bar y - B \bar x - C \bar {x^2}

S_{xx} = \Sigma (x_i - \bar x)^2

S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)

S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})

S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2

S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})

Solving using an online quadratic regression calculator, gives;

A = 2.5643259

B = 246.6374865

C = -15.41986006

Substituting gives;

y = 2.5643259 + 246.6374865·x -15.41986006·x²

When time, x = 12.1, we have;

y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet

The height at time of 12.1 seconds ≈ 729.2562 feet.

8 0
2 years ago
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