(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2) Can someone simplify this
1 answer:
Answer:
Step-by-step explanation:
[NOTE]
I am assuming x2 is , if I am wrong about that then please notify me in the comments
[END NOTE]
The parenthesis are implications that we multiply the numbers within them.
Therefore, multiply.
(2x)(x2)
(2x)(x)
(2x)(-2)
-4x
(3)(x2)
(3)(x)
3x
(3)(-2)
-6
Now combine like terms, meaning the numbers with the same endings, you cannot add a number with different exponents and adding numbers with and without a variable.
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Answer:
a= 13.15 years
b= -0.62 years/$
Step-by-step explanation:
Hello!
Given the variables
Y: Age of a used car. (years)
X: Price of a sold used car. ($000)
The linear regression model is:
E(Y)= α + βXi
The estimated equation is:
^Y= a + bXi
a= 13.15 years
b= -0.62 years/$
Then ^Y= 13.15 - 0.62Xi
Mean Y= 8.92
Mean X= 6.91
∑Y= 107
∑Y²=1009
∑X=82.90
∑X²=615.29
∑XY=712.9
Hope it helps!
<u>Note: this answer assumes the equation of the line can be put in slope-intercept form. </u>
Answer:
Step-by-step explanation:
1) First, find the slope of y + 7 = -2 (x - 6). We can see that it's already in point-slope form, or format. Remember that the number in place of the
is the slope. Therefore, -2 is the slope of that equation.
What we need is the slope that is perpendicular to that, though. So, find the opposite reciprocal of -2. To do this, change its sign, convert it into a fraction (), and flip its numerators and denominators. Therefore, the perpendicular slope would be
.
2) Now that we have a slope and a point the line passes through, we can write an equation using the point-slope formula, . In order to write an equation, the
,
, and
have to be substitute for with real values.
The represents the slope. We already calculated that in the last step, so put
in place of the
. The
and
represent the x and y values of a point the line passes through. We know that the line has to pass through (6, -3), so substitute 6 for
and -3 for
:
Therefore, (again, assuming that the line can be put in point-slope form) the answer is .