Answer:
Step-by-step explanation:
The x-intercepts exist where y is equal to 0...which is ON the x-axis. Hence, the name "x-intercept". These are caled zeros, solutions, and roots. This parabola goes through the x-axis at x = 0 and x = 4. It is at both of these locations where the y-coordinate is 0.
Answer:
y = -|x +2| +4
Step-by-step explanation:
The parent function y=|x| is shifted to the left 2 units, so x is replaced by x+2. It is reflected across the x-axis, so is multiplied by -1: -|x+2|. It is shifted up 4 units, so has 4 added to it:
y = -|x+2| + 4
Answer:
x>4
Step-by-step explanation:
Solving an inequality is very similar to solving an equation:
Given: 7x-6>22
Add 6 to both sides: 7x>28
Divide both side by 7: x>4
x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.
-5/9 - 2/9 = -0.777778
-11/12 - (-5/12) = -0.5
Answer:
B. y = x + 3
Step-by-step explanation:
Let m represent the slope of the line.
Let c represent the y-intercept of the line.
Then the equation of the line with slope m and y-intercept c is given by ![\[y=mx+c\] ](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D%0A)
In this case, the value of m is 1 and the value of c is 3.
Substituting the given values in the equation:
![\[y=x+3\] ](https://tex.z-dn.net/?f=%5C%5By%3Dx%2B3%5C%5D%0A)
Among the given options, option B represents the correct equation of the line.
