Step-by-step explanation:
a)
For each value of x, we need to solve for y.
Our equation is x² -2. This means that we multiply x by itself ( x * x = x²), and then subtract that value by 2.
Here is a list of the unfilled answers:
x = -2:
-2²-2 = -2 * -2 -2 = 4-2 = 2. -2 * -2 = 4 because two negatives multiplied together makes a positive.
x=-1:
-1²-2 = 1 -2 = -1
x=1
1²-2 = 1-2= -1
x=3:
3²-2 = 9-2 = 7
b)
In this graph, the y represents the vertical part and x represents the horizontal. For each value of y, there is a horizontal line that can be drawn. For example, when y=0, the bolded horizontal line near the bottom of the graph represents that. We then need to find the points on the line representing x²-2 where it touches the horizontal line of y=0. This happens when x=-1.5 and x=1.5, as it is between the positive/negative 1 and 2 values of x
Step-by-step explanation:
Rearrange the terms by writing
3y = -2x + 6 ---> y = (-2/3)x + 2
The slope of this equation is m = -2/3
Answer:
2/15
Step-by-step explanation:
Step one:
given data
sample space
1 elephant,
4 bears,
3 cats, and
2 dogs.
sample size= 1+4+3+2= 10
Required:
By selecting without replacement, the probability that she chooses a bear both times
Step two:
the first event= Pr(bear)= 4/10= 2/5
the second event, the sample size is now 9 and the number of bears is now 3
Pr(bear)= 3/9= 1/3
Hence, the probability that she chooses a bear both times
= 2/5*1/3
=2/15
2/3 time 5
5×2 is 10 so the numerator is ten
1×3 is 3 so the denominator is three
the answer is 10/3
Answer:
30
Step-by-step explanation:
3 pieces each 1 dekameter long
1 dekameter = 10 meters
Convert dekameters to meters
3 pieces each 10 meters long
Multiply
Glenn has 30 meters of lanyard
Divide
He can cut 30 1-meter pieces
Hope this helps :)
