Answer:
266
Step-by-step explanation:
Let no. of main floor tickets = x
Balcony tickets = x + 100
4(x+100) + 12(x) = 3056
4x + 400 + 12x = 3056
16x = 3056-400
16x = 2656
x = 2656/16
x = 166
No. of Balcony tickets = x + 100 = 166 + 100 = 266
Answer:
B
Step-by-step explanation:
The first step of any problem solution is <em>look at the given information</em>. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
<u>x-intercept</u>
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
<u>y-intercept</u>
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
<em>Additional comment</em>
Part of "look at the given information" is "look at the answer choices." What you look for is <em>what makes one choice different from the others</em>. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
Well, it might not be important for most problems but..
If you're dividing, and the answer is a repeat..
You can estimate.
Example - 2.678 | You can estimate it to 2.68 and use that as an answer instead of a very long answer that's repeated.
I hope this helps.
Answer:
Ddddddddddddddddddddddddd
The vertex form of the Quadratic equation is y = 
+5. The vertex is (3, 5), which is a maximum point.
<h3>what is a quadratic equation?</h3>
A quadratic equation is an algebraic equation with the power of its variable 2.
it can be written in standard form which is called vertex form or in the general form.
Analysis:
y = 
-6x +14
y = -6x +9 +5
Simplifying this perfect square expression y = -6x +9
y = -3x -3x +9
y = x(x-3) -3(x-3) + 5
y = (x-3)(x-3) +5
y = + 5
In conclusion, the Vertex form of the equation is y = + 5
Learn more about quadratic equation: brainly.com/question/1214333
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