<h3>
Answer: A) 1/4</h3>
Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.
Answer:
Step-by-step explanation:
If we are finding a line parallel to the given one, we need to use the same slope. That is, our new line should have a form like:
We can determine the value of "b" by using the condition that we want the line to go through the point (-4,5), therefore when x=-4, the y value for that line should be 5. In mathematical terms:
Therefore our new line parallel to the given one is:
Answer:
43
Step-by-step explanation:
Substitute x = 3 into the expression, that is
5(3)² - 2 = 5(9) - 2 = 45 - 2 = 43
Answer:
The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8
Step-by-step explanation:
Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.
18 - 10 = 8 dollars.
Now that we have the m and b values, we can create our equation.
The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.
Answer:
Speed of slower plane = 400 mph
Speed of the faster plane = 440 mph
Step-by-step explanation:
Let x be the speed of the slower plane, in mph.
Thus; the speed of the other plane is x +40 mph.
The distance between two planes decreases at the rate;
x + (x+40) = 2x + 40 mph.
We get the equation
1680/(2X + 40) = 2.
Solve the equation;
We multiply both sides by (2x + 40), to get
1680 = 2*(2x + 40),
1680 = 4x + 80,
4x = 1600.
Hence,
x = 1600/4
= 400 mph.
Therefore; the speed of the slower airplane is 400 mph, while
The speed of the faster is 400 + 40 = 440 mph.