Answer:
17.75x + 5.25 165
x 9
Step-by-step explanation:
The total cost can be represented by 17.75x + 5.25, where x is the number of people.
They can only spend a maximum of $165, so a less than or equal sign has to be used.
The inequality will be 17.75x + 5.25 165
Now, solve for x:
17.75x + 5.25 165
17.75x 159.75
x 9
So, x 9 is the answer, meaning 9 people or less can go to the amusement park.
Answer:
y = 2(x - 3)² - 2
Step-by-step explanation:
Given the quadratic equation with a y-intercept of (0, 16), and has a vertex occurring at point (3, -2):
We can substitute these values into the following vertex form of the quadratic equation:
y = a(x - h)² + k
where:
(h, k) = vertex
a = determines the wideness or narrowness of the graph, and the direction of where the parabola opens.
Now that we established the definitions for the variables in the vertex form, we can finally substitute the vertex, (3, -2) and y-intercept, (0, 16) into the vertex form and solve for the value of <em><u>a</u></em>:
y = a(x - h)² + k
16 = a(0 - 3)² - 2
16 = a(-3)² - 2
16 = 9a - 2
Add 2 to both sides:
16 + 2 = 9a - 2 + 2
18 = 9a
Divide both sides by 9 to solve for <em>a</em>:
2 = a
Therefore, the quadratic equation in vertex form is:
y = 2(x - 3)² - 2
Attached is a screenshot of the graphed equation, where it shows the y-intercept and the vertex.
Answer:
Step-by-step explanation:
Alright, lets get started.
The line is perpendicular to
The slope of this equation is -2.
The slope of the line, perpendicular to this line will be :
line equation is passing through the point (-4,15) will be :
............. Answer
Hpe it will help :)