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nekit [7.7K]
3 years ago
10

The equation yˆ=24.387x + 328.182 models Math SAT scores, y, where x is the number of hours spent studying.

Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

Without any studying, the score would be about 328

Step-by-step explanation:

The y-intercept of an equation represents the point where its graph crosses the y-axis. At this point the value of x is always equal to 0.

The y-intercept of the equation in this context would represent the Math SAT score of a student who did not do any studying, that is the number of hours spent studying, x = 0.

Substitute x = 0 in the given equation and solve for y;

y = 24.387(0) + 328.182

y = 328.182

Therefore, Without any studying, the score would be about 328

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3 years ago
Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )
irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0
3 years ago
Express as a single fraction a/b+b/b - b/a-a/a​
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ab

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2. Given: mZABD = rº and mZACB = yo
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Step-by-step explanation:

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but because we also know that the sum of all angles in a triangle is 180 degrees too, we can say

180 = ACB + ABC + CAB

180 = y + 180 - x + CAB

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2 years ago
Solve the simultaneous equations:<br> 3x + 2y = 35 <br> 2x + 3y = 30
lesya [120]

Answer:

nuber 1

Simplifying

3x + 2y = 35

Solving

3x + 2y = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 35 + -2y

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Divide each side by '3'.

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Simplifying

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