child admission is $5.90 and adult admission is $9.10 . 175 tickets were sold for a total sales of $1282.10 . How many child tickets were sold that day?

Child tickets sold: 97

Step-by-step explanation:

Step 1: Write out system of equations

5.90x + 9.10y = 1282.10

x + y = 175

Step 2: Rewrite 2nd equation

y = 175 - x

Step 3: Substitution

5.90x + 9.10(175 - x) = 1282.10

Step 4: Distribute

5.90x + 1592.5 - 9.10x = 1282.10

Step 5: Combine like terms

-3.2x + 1592.5 = 1282.10

Step 6: Isolate x

-3.2x = -310.4

x = 97

And we have our final answer!

x = -6, 2

Step-by-step explanation:

A zero is the x-value of a point on the x-axis that the graph intersects. Knowing this, we can set the function itself to 0 to find the zeros.

1) Set the function to 0.

2) Factor out the polynomial. Ask yourself, what are two numbers that have a product of -12 and add up to 4? (In this case, it's 6 and -2.)

3) Look at the answer from the last step. What do the x's have to equal in order for equation to equal 0? They have to be -6 and 2. Therefore, those are the zeros.