Hi!
First, let me explain that open circles mean that the answer starts after or before that number. So if the answer is c < 4, the answer would be D, and not B.
If the answer was c ≤ 4, the answer would be B, and not D.
I hope that makes sense. Now let's solve the inequality.
Remember that whatever we do to the inequality, we have to do it to both sides.
We need to isolate c on one side.
10c + 5 ≤ 45
Start by subtracting 5 from both sides.
10c + 5 - 5 ≤ 45 - 5
10c ≤ 40
Divide by 10 on both sides.
10c/10 ≤ 40/10
c ≤ 4
The answer is B.
Hope this helps! :)
View the attached photo.
<span>
The quadratic function, y = x2, has an x-intercept at the origin = TRUE</span>
<span>
The quadratic function, y = x2 + 3, has an x-intercept at the origin = FALSE</span>
<span>
From x = -2 to x = 0, the average rate of change for both functions is positive = FALSEWhen viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
</span><span>
From x = -2 to x = 0, the average rate of change for both functions is negative = TRUEBoth are declining if you read the graph from left to right.
</span><span>
For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. = FALSE</span><span>
y = x^2
If we insert 2 into y = x^2 we get y = 4 but our point (2,3) has y = 3
</span>
For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function. = TRUE
If we insert 2 for x, we see that y = x^2 + 3 = y = 2^2 + 3 = y = 7 and our y value in the point (2,7) is 7.
(A) The probability of choosing a bottle of diet soda is 14/27, since there are 27 bottles in total and 14 of them are diet soda.
(B) The probability of choosing a bottle of regular soda is 5/27, since there are 27 bottles in total and 5 of them are regular soda.
(C) The probability of choosing a bottle of water is 8/27, since there are 27 bottles in total and 8 of them are bottles of water.
Hope that helped.