Answer:
9/10
Step-by-step explanation:
=
7
10
+
20
100
=
7
10
+
1
5
=
7
10
+
2
10
=
7+2
10
=
9
10
(Decimal: 0.9)
3x × 40+ x × 70 = 285
120x + 70x = 285
190x = 285
x = 285/190
x = 1.5
Theodory traveled at the interstate for 1.5 hours
Answer: the known variable; the to-be-predicted variable
Step-by-step explanation:
In statistics, linear regression is a technique to model the relationship between two variables ( one independent and other dependent).
It requires some previous data to plot a best fit line.
It is used to predict the values for dependent variable for each independent variable.
Here, independent variable = known variable and dependent variable = is to be predicted
Hence, Linear regression describes the extent to which <u>the known variable</u> predicts <u>the to-be-predicted variable</u>.
Differentiate implicitly using the power rule:
<span>12x^2 + 15y^2y' = 0 </span>
<span>Make y' the subject: </span>
<span>15y^2y' = -12x^2 </span>
<span>y' = -(4x^2) / 3y^2 </span>
<span>Differentiate again using the quotient rule: </span>
<span>y'' = [-8x(3y^2) - 6yy'(-4x^2)] / 9y^4 </span>
<span>y'' = (-24xy^2 + 24x^2yy') / 9y^4 </span>
<span>Simplify: </span>
<span>y'' = (-8xy + 8x^2y') / 3y^3 </span>
<span>Substitute (4x^2) / 3y^2 back for y': </span>
<span>y'' = (-8xy + 8x^2 * 4x^2 / 3y^2) / 3y^3 </span>
<span>y'' = (-24xy^3 + 32x^4) / 9y^5</span>
Answer:
isosceles obtuse triangle
Step-by-step explanation:
The attached graph shows a plot of the three lines.
The triangle is an isosceles obtuse triangle in the 2nd quadrant.
_____
It is convenient to let a graphing calculator plot these lines. If you're going to plot them by hand, it usually works best to choose values of the variables for the variable that has the largest coefficient (3 in two of the equations). That way, you're not trying to plot coordinates that contain fractions.