Answer:
x>5
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
4x−15>−2x+15
Step 2: Add 2x to both sides.
4x−15+2x>−2x+15+2x
6x−15>15
Step 3: Add 15 to both sides.
6x−15+15>15+15
6x>30
Step 4: Divide both sides by 6.
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 4 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
y = x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y = x + 3 ← equation of parallel line
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
8p, -70, and 4 z are the terms and 4z and 8p are coefficient.