Answer:
g(f(x)) = -x - 18
Step-by-step explanation:
2x - 6( (x + 6) / (2) )
2x - 3( x + 6)
2x - 3x - 18
-x - 18
Answer:
y = x + 5
Step-by-step explanation:
The graph of the ramp function y = x is a straight line with slope +1 and passing through the origin. If the whole graph is shifted up 5 units, the equation/function becomes
y = x + 5. The resulting graph is parallel to y = x.
Answer:
0.86
Step-by-step explanation:
The z-score we need to make the comparison is given by
where
= the standard deviation established in the study
n = the sample size
and for the Normal distribution N(0,1) we want to find
<em>P(X > -1.0801)
</em>
By using a spreadsheet or the table attached, we find that
P(X > -1.0801) = 0.86
(See picture attached)
Answer:
c. 10
Step-by-step explanation:
Eliminate parentheses using the distributive property.
3(b+4) -2(2b+3) = -4 . . . . given
3b +12 -4b -6 = -4 . . . . . parentheses eliminated
-b +6 = -4 . . . . . . . . . . . . collect terms
-b = -10 . . . . . . . . . . . . . . subtract 6
b = 10 . . . . . . . . . . . . . . . . multiply by -1
_____
The rules of equality require that any operation you perform on one side of the equal sign must also be done on the other side. So when we say "subtract 6", we assume you know that means "subtract 6 from both sides of the equation", for example.
Answer:
110÷360×π×4.6^(2)= 20.312
Step-by-step explanation:
Area of sector = angle / 360 x π x r^(2)
