Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Answer:
lines are perpendicular
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
Where c is the value of the x- coordinates the line passes through
x = - 1 ← is the equation of a vertical line
The equation of a horizontal line parallel to the x- axis is
y = c
Where c is the value of the y- coordinates the line passes through
y = - 1 ← is a horizontal line
Since lines are vertical and horizontal they are perpendicular to each other.
D. 9pi square inches
The formula for the area of a circle is <span>π x r^2
Since the diameter is 6, the radius (r) is 3
3^2 = 9
This times pi will give you the area of the plate
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The answer is ten if I'm correct
