The answer is:
B) The solution is (4, 200). This means that it will cost me $200 to go to either gym 4 times.
the equations given to you were:
(C = 100 + 25x) and (C = 50x)
well, if you plug in 200 for C and 4 for x you get these equations,
200 = 100 + 25(4), and 200 = 50(x)
I solved both step-by-step below.
1. C = 100 + 25x plug in points
200 = 100 + 25(4) solve the parenthesis's
200 = 100 + 100 combine like terms
200 = 200 both sides are equal
2. C = 50x plug in points
200 = 50(4) solve the parenthesis's
200 = 200 both sides are equal
Because we have been given the slope and y-intercept, we can create an equation in slope-intercept form.
y = mx + b
m = the slope
b = y-intercept.
In the first problem,
m = -4
b = 10
So, our equation looks like: y = -4x + 10
In the second problem,
m = 1/3
b = -6
So, our equation looks like: y = 1/3x - 6
Answer:
P > 9
Step-by-step explanation:
first, you add 3 to both sides,
2p > P + 9
then subtracts P from both sides,
P > 9
your final answer is P > 9
Hope this helps! :)
Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:
Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
Answer
D. `(y+4) = (5)/(3)(x+ 1)`
Step by step explanation
The given points are (-1, -4) and (2, 1)
Slope = (y2 - y1)/(x2 - x1)
= (1 - (-4)) / (2 - (-1))
= (1 + 4) / (2 +1)
m = 5/3
When two points are given, the equation of the line is
(y - y1) = m (x - x1)
y -(-4) = 5/3 (x - (-1))
y + 4 = 5/3 (x + 1)
The answer is (y+4) = (5)/(3)(x+ 1)
Thank you.