Ecessary. Bamples3. What number is 15% of 60?
1 answer:
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Answer:
x-intercepts exist in the 3 functions
y-intercepts exist in the 3 functions
The function h(x) has the lowest minimum.
The function f(x) has the greatest maximum.
Step-by-step explanation:
Given
The attached table
Solving (a): x-intercepts
A function has x intercept if its y value equals 0.
From the table, we have:
<em>All functions have x intercept</em>
Solving (b): y-intercepts
A function has y intercept if its x value equals 0.
From the table, we have:
This applies to all functions in the table;
Hence, all functions have y intercept
Solving (c): Lowest minimum
The minimum of each function is:
The lowest minimum is: h(x) because:
i.e.
Solving (d): Greatest maximum
The maximum of each function is:
The greatest maximum is: f(x) because:
i.e.
Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.
