Answer:
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
Step-by-step explanation:
We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.
We're given the slope, (1/2) which we can use for m:
y = (1/2)x + b
We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:
x = 5, and y= -1
y = (1/2)x + b
-1 = (1/2)*5 + b
-1 = (2.5) + b
- 3.5 = b
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
See the attached image.
Days in a week n(S)=7
DAYS to not getting monday n(M)=6
probability P(M)=n(M)/n(S)
=6/7(ans)
The value of k will be 3 if the function is transformed by compression factor of 3
Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.
As it is given in the question that he function is transformed by a compression factor of 3.
Given function

The value of k will be 3 if the function is transformed by compression factor of 3
Keywords: Functions, Transformation
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Answer:
x =68
Step-by-step explanation:
The sum of the angles of a triangle are 180
37+75+x = 180
Combine like terms
112+x = 180
Subtract 112 from each side
112+x-112=180-112
x =68
Answer:
14
Step-by-step explanation:
f(x)=-1/3x+13
f(-3)=-1/3(-3)+13
f(-3)=3/3+13
f(-3)=1+13
f(-3)=14