The Unit Rate is the start of the slope/the y-intercept of the slope.To find that we need to make the slope first.
(shown in the first picture)
We can see that the slope is a linear function/a straight line, and if we just follow the line down the slope we can see that it has a y-intercept/unit rate of 2/3 of 1 whole.
(the second picture)
First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39 /2
</span>⇒ 16x + 14y = 78
Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2
y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5
Answer:
Step-by-step explanation:
The parent function is given as:
We want to find a new function that results after shifting f(x), 2 units to the right.
Let that function be g(x), then
We replace x by x-2 in f(x) to get:
When we simplify, we obtain:
Answer:
The average rate of change from x=0 to x=1 for f(x) is 0.
Step-by-step explanation:
We are given the function .
Now, the rate average rate of change of a function from to is given by .
As, we need the rate of change from x = 0 to x = 1.
So, we will find the values of f(0) and f(1).
i.e. i.e. f(0) = 3
and i.e. i.e. f(1) = 3
Thus, the rate of change from x=0 to x=1 is i.e. i.e. 0
Hence, the average rate of change from x=0 to x=1 for f(x) is 0.
1) The probability of getting a queen is 187/10000 which is 0.0187 = 1.87%
2) The probability is 449 / 479 which is 0.937 = 93.7%
You may need to round the answers. It doesn't say if they need to be rounded or not.