Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.
1 answer:
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Answer:
Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept
f(x)= -2x +4
Let's rewrite this function into an equation, in the slope-intercept form.
y= -2x +4
Slope= -2
The product of the slopes of perpendicular lines is -1.
Let the slope of the perpendicular line be m.
m(-2)= -1
m= ½
y= ½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -4, y= -1,
-1= ½(-4) +c
-1= -2 +c
c= -1 +2
c= 1
Thus, the equation of the line is y= ½x +1.
Answer:
The homework grade, to the nearest integer, for a student with a test grade of 68 is 69.
Step-by-step explanation:
The general form of the linear regression equation is:
Here,
<em>y</em> = dependent variable = test grade
<em>x</em> = independent variable = homework grade
<em>a</em> = intercept
<em>b</em> = slope
Compute the value of <em>a</em> and <em>b</em> as follows:
The linear regression equation that represents the set of data is:
Compute the value of <em>x</em> for <em>y</em> = 68 as follows:
Thus, the homework grade, to the nearest integer, for a student with a test grade of 68 is 69.
Answer:
90π cm²
Step-by-step explanation:
Given: Radius of circular base= 5 cm
height= 12 cm
Now finding the surface of cone.
Formula; Surface area of cone=
Where; r= radius
l= slant height
B is the area of base, which is circle.
Area of circle (B)= πr²
Area of circle (B)=
∴ Area of circle (B)=
Finding slant height (l)
Formula;
⇒l =
∴ l=
Next, using the formula for finding surface area of cone.
Surface area of cone=
⇒ Surface area of cone=
∴ Surface area of cone= 90π cm²