Answer:
Step-by-step explanation:
First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.
6x + 10 - 2x = 7 + 23
4x + 10 = 7 + 23
4x + 10 = 30
Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.
4x + 10 = 30
4x = 20
x = 5 is the final answer.
<u>Given</u>:
Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.
The money that he has saved so far is 30% of the cost of the bike.
We need to determine the total cost of the bike.
<u>Total cost of the bike:</u>
Let x denote the total cost of the bike.
The total cost of the bike is given by
The value of 30% can be written as
Thus, we get;
Multiplying both sides by , we have;
Simplifying, we have;
Thus, the value of x is 500.
Hence, the total cost of the bike is $500.
Looking at the graph, we can say that:
- It opens downward and has a maximum of 0.
- The axis of symmetry passes through the vertex (the maximum value in this case). So, the x-coordinate of the vertex is 4, and the axis of symmetry is:
- We conclude that the coordinates of the vertex are:
- The x-intercepts are defined as those points whose y-coordinate is 0. Similarly, the y-intercepts are those points of x-coordinate equal to 0. Looking at the graph, the vertex itself is the x-intercept, and y = -8 is the y-intercept.