X^2 + y^2 = 5
y = 2x
The second equation is solved for y, so substitute it in the first equation.
x^2 + (2x)^2 = 5
x^2 + 4x^2 = 5
5x^2 = 5
x^2 = 1
x^2 - 1 = 0
(x + 1)(x - 1) = 0
x = -1 or x = 1
Now substitute both values of x in the second equation and solve for y.
y = 2x
For x = -1
y = 2(-1)
y = -2
For x = 1
y = 2(1)
y = 2
Solution: (-1, -2), (1, 2)
Answer:
(0,-2)
Step-by-step explanation:
The y-intercept is simply when the function touches or crosses the y-axis.
We're told that the graph crosses the y-axis at -2. In other words, the y-intercept is at -2.
The ordered pair would be (0,-2)
Answer:
C. 109x
Step-by-step explanation:
We know that there are 109 students in the fourth grade, who each have x cupcakes. In order to find the total amount of cupcakes, we could add all of the cupcakes together to get:
x + x + x + x + .... x
109 times because there are 109 students.
This can be simplified to become 109x.
It would be -2.449489743 or 2 and 11 25th in fraction
Our inequality is 3(x-1) - 4x ≥-3. We can solve this like we solve for x in a regular equation. If I multiply 3(x-1), our new inequality is 3x -3 - 4x ≥ -3. If we add 3 to both sides and subtract 4x from 3x we have -x ≥ 0. But we want the value of x to be positive, not negative. So we multiply both sides by -1 and change the sign from greater than to less than. We get x<span> ≤ </span>0.
