Answer:
y = 6x - 2
Step-by-step explanation:
slope intercept form is y = mx + b
m = slope
b = y-intercept
They give us the slope (m) which is 6 and the y-intercept (b) which is -2. PLug it into the equation
y = mx + b
y = 6x - 2
Answer:
x = -15
Step-by-step explanation:
-24 + 15 - 6 = x
-9 - 6 = x
-15 = x
Answer:
3/8 cups
Step-by-step explanation:
Divide both sides by 2 to get the value for 1/3 cup of water:
1/3 cup water = 1/8 cup of oil
Now, multiply each side of the equation by 3 to get 1 cup of water:
1 cup water = 3/8 cup of oil
hope this helps!
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
Answer: First, add 3.99 + 7.17. Then take the sum of those two numbers and multiply it by .05 to get 0.55. Since we are dealing money, round to the nearest hundredth to get .56. Add the sum of 3.99 and 7.17 (11.16) and .55 to get a total of 11.71. Therefore the total cost of their dinner, including tax, was $11.71.
Step-by-step explanation:
