Answer:
there are 4 boys for every 5 girls.
Step-by-step explanation:
The line which rises to the left has slope of -1/3 and y intercept of 2 so we have
y = -1/3x + 2
3y = -x + 6
x + 3y = 6
Shading is below and the line is solid so the inequality is
x + 3y ≤ 6
The other line has equation
y = 3x - 1
and inequality is
y ≥ 3x - 1
The answer is B
Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Answer:
f^-1(x) = x - 2
Step-by-step explanation:
To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.
x = y + 2
-2 both sides.
x - 2 = y
y = x - 2
The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).
f^-1(x) = x - 2
I hope you find this helpful. :)
Answer:
453.7 in^2 for each color
Step-by-step explanation:
Answer this by finding the area of the whole circle and then dividing that by 2:
(3.14)(17 in)^2 / 2
or:
453.7 in^2 for each color
PS: It's ' pi ' not "pie"
