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
Answer:
(- 3, - 6 ) , (1, 2 )
Step-by-step explanation:
2y = 4x ( divide both sides by 2 )
y = 2x → (1)
x² + y = 3 → (2)
Substitute y = 2x into (2)
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute theses values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
The answer would be: 13^3.
This is because 2-4= -2
Then you add -2 to 5 and you would get 3. So the exponent is 3.
I hope this helps :)
If solving for p, it is 239.98 bc when 284.97+194.99, 2p=479.96
Unclear of the question, but the value is already as a mixed fraction. The value of absolute value is just the distance from zero. So, |-4|=4 or |6|=6
