50 adult tickets and 20 children tickets were sold for the concert.
Step-by-step explanation:
Given,
Number of concert tickets sold = 70
Revenue generated = $550
Cost of each adult ticket = $9
Cost of each child ticket = $5
Let,
x be the number of adult tickets sold
y be the number of child tickets sold
According to given statement;
x+y=70 Eqn 1
9x+5y=550 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 4
Putting x=50 in Eqn 1
50 adult tickets and 20 children tickets were sold for the concert.
Keywords: linear equation, elimination method
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9514 1404 393
Answer:
(A) -4 and -2
Step-by-step explanation:
The constant in the function tells you f(0) = 5.
You know that the positive leading coefficient means the value of f(x) will be negative for x-values smaller than some number. The offered answer choices indicate the value x = -4 is a lower bound on the value of c. So, -4 < c < 0, for sure.
To further refine the interval, you would need to know f(-2) and/or f(-1).
f(-2) = (-2)³ -2(-2) +5 = -8 +4 +5 = 1
Then -4 < c < -2.
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I find a graphing calculator to be very helpful locating zeros of polynomials.
9514 1404 393
Answer:
y = -1
Step-by-step explanation:
The slope formula tells you the slope is ...
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-1))/(5 -3) = 0/2 = 0
We can find the y-intercept using the first point:
b = y -mx
b = -1 -0·3 = -1
Then the slope-intercept form is ...
y = mx + b
y = 0·x -1
y = -1 . . . . . simplified
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Of course, you can bypass all of that when you realize the two y-values are the same, so the line is a horizontal line with y equal to that value.
9514 1404 393
Answer:
y = -9x +49
Step-by-step explanation:
The slope of line b is the same as the slope of line a. That can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -8)/(2 -1) = -9
The y-intercept can be found from the given point using the formula ...
b = y - mx
b = 13 -(-9)(4) = 13 +36 = 49
Then the slope-intercept equation of line b is ...
y = -9x +49
