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1 year ago

For all values of x, x² + 6x - 2 = (x+p)² + q Find the value of p and the value of q.

Mathematics

1 answer:

Vlad [161]1 year ago

3 0

Step-by-step explanation:

${x}^{2} + 6x - 2 = {x}^{2} + 2px + {p}^{2} + q$

$2p = 6$

${p}^{2} + q = - 2$

$p = 3$

${3}^{2} + q = - 2$

$q = - 11$

p=3, q=-11

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Liula [17]

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2 years ago

The answer is C, but I don't understand why- can anyone tell me?

finlep [7]

Answer:

It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.

Hope this helped and wasn't too confusing

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1 year ago

. The estimate regression equation for a model involving two independent variables and 10 observations follows.y = 29.1270 + 0.5

beks73 [17]

Answer:

b) y = 289.815 when $x_1 = 180 \text{ and } x_2 = 310$

Step-by-step explanation:

We are given the following information in the question:

$y = 29.1270 + 0.5906x_1 + 0.4980x_2$

where y is the dependent variable,

$x_1, x_2$ are the independent variable.

The multiple regression equation is of the form:

$y = b_0 + b_1x_1 + b_2x_2$

where,

$b_0$ : is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.

$b_1$ : It is the slope coefficient of the independent variable $x_1$ .

$b_2$ : It is the slope coefficient of the independent variable $x_2$ .

The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.

Comparing the equations, we get:

$b_1 = 0.5906\\b_2 = 0.4980$