1 because it touches the y axis at point (0,1)
Answer:
The x intercept is (-5,0)
Step-by-step explanation:
1. First, it would be helpful to rewrite the equation to be in y=mx+b form.
5y=4x+20
y=(4/5)x+4
2. Then, plug in 0 for y.
0=(4/5)x+4
3. Then, solve.
-4=(4/5)x
-20=4x
x=-5
Answer:
Option (2). Increasing x > 0; decreasing x < 0
Step-by-step explanation:
Equation of the parabola having vertex (0, 3) will be,
y = (x - 0)² + 3
y = x² + 3
To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,
y' = 2x
For x < 0 Or x = -1
y' = 2(-1)
= -2 < 0
Therefore, function is decreasing in x < 0
For x > 0 Or x = 1
y' = 2(1) + 3
= 5 > 0
Therefore, function is increasing in x > 0
Option (2) is the answer.
Answer:
addition property of equality
Step-by-step explanation:
Given the equation 4(x-5) = -12
Expand
4x - 20 = -12
Add 20 to both sides (addition property of equality)
4x-20+20 = -12+20
4x = 8
x = 8/4
x = 2
Hence the value of x is 2
The justification for step 2 is addition property of equality