Step-by-step explanation:
y = -f(x)
so, everything is mirrored around the x-axis.
what was below the x-axis, is now above the x-axis, what was above is now below. and what was on the x-axis, is still on the x-axis.
pick the corner points of f(x), their x-values stay the same, their y-values flip the sign. the points on the x-axis (y = 0) stay the same of course.
and then connect the points, so that the curve is upside-down to the original.
There are 18 coins total in her bag:
7+3+8=18coins
3 of the 18 coins are dimes, so the odds of first drawing a dime are 3/18
P(dime)=3/18
Since the nickel was taken out and not replaced, there are now 17 coins in her purse.
18-1=17coins
8 of the 17 remaining coins are nickels, so the odds of drawing a nickel are 8/17.
P(nickel)=8/17
Now we multiply the two probabilities by eachother to find out the odds of both occurring...
P(dime)*P(nickel)=
3/18*8/17=24/306=8/103=0.078=8%
The probability of grabbing a dime and then a nickel are 8/103 or 0.078 or an 8% chance, whichever way you'd prefer to write it.
Set the x value to be -2, -1, 0, 1, and 2.
If x is -2, y is -5.
2 (-2) - 1 = -5
The coordinate pair would be (-2, -5).
If x is -1, y is -3.
2 (-1) - 1 = -3
The coordinate pair would be (-1, -3).
If x is 0, y is -1.
2 (0) - 1 = -1
The coordinate pair would be (0, -1).
If x is 1, y is 1.
2 (1) - 1 = -1
The coordinate pair would be (1, 1).
If x is 2, y is 3.
2 (2) - 1 = 3
The coordinate pair would be (2, 3).
Five ordered pairs could be (-2,-5), (-1,-3), (0,-1), (1,1), and (2,3).
Answer:
Step-by-step explanation:
we know that
The solution of the inequality of the dotted red line is the shaded area above the dotted line
The dotted red line is parallel to the solid gray line
The equation of the solid gray line is equal to ----> given line
The slope of the solid gray line is m=-2
Remember that
If two lines are parallel, then their slopes are the same
therefore
The slope of the dotted red line is m=-2
The y-intercept of the dotted red line is b=2
Find the equation of the dotted red line in slope intercept form
we have
substitute
Remember that the solution is the shaded area above the dotted red line
therefore
5+9+2+8+12+4=40(total rolls)
1:
2:
3:
4:
5:500×
=50
45+25+15+10=95 (total amount of people interviewed)
6:
There is no question 7/8 on the paper