Answer:
x = -5
Step-by-step explanation:
To find the equation of a line, use the formula y = mx + b, where m is the slope of the line and b is the y intercept.
To find the slope, use your ordered pairs: m = (y2 - y1)/(x2 - x1). Substituting in your values, m = (8-6)/(-5 - -5), or m = 2/0. Since you cannot divide by 0, the slope is undefined; you have a vertical line.
If you plot the points on a graph, (-5, 6) and (-5, 8) both pass through -5 on the x axis. Since this is a vertical line, it will never cross the y axis, so you will not have a y intercept.
Your equation is x = -5.
A graph shows a non linear curve that joins the ordered pairs 0, 5, and 1, 2, and 5, 0.
>; < - dot line
≥; ≤ - solid line
>; ≥ - shading above the line
<; ≤ - shading below the line
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y = 2x + 3 - it's a linear function. We only need two points to plot the graph. Select two any x values and calculate the y values:
for x = 0 → y = 2(0) + 3 = 0 + 3 = 3 → (0, 3)
for x = -2 → y = 2(-2) + 3 = -4 + 3 = -1 → (-2, -1)
y > 2x + 3
Dot line an shading above the line (look at the picture).
Answer: b.) 40
Given that:
f(x) = 5 × 2ˣ
To find f(3), simplify insert [x = 3] in the given equation:
f(3) = 5 × 2³
f(3) = 5 × 2 × 2 × 2
f(3) = 40
Answer:
4567
Step-by-step explanation: