Answer:
The number of tickets sold to the public was 375
Step-by-step explanation:
<u><em>The complete question is</em></u>
At a charity basketball game, 450 tickets were sold to students at a school. The remaining x tickets were sold to the public. The students paid $15 and public $25. When all the tickets were sold, $10,500 was collected. How many tickets were sold to the public?
Let
x ----> number of tickets sold to the students
y ----> number of tickets sold to the public
we know that
----> equation A
----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (75,375)
see the attached figure
therefore
The number of tickets sold to the public was 375
Answer:
Step-by-step explanation:
In the first part the given polynomial is 
, we have to divide this polynomial by (x-1) using synthetic division.
Here are the steps of synthetic division
Step 1: Set up the synthetic division table in which the coefficients are written in descending power of x.
Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
Step 3: Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. Here, a is 1(taken from divisor)
Step 4: Add the column made in step 3. Repeat these steps until the last column reached.
In the second part,
It is given that divisor polynomial is the factor of given polynomial then we have to tell the remainder which is 0 because if divisor polynomial is the factor the it will completely divide the given polynomial which gives remainder 0.
In the third part,
Given when one uses the synthetic division to divide by (x-3) then what number is used to multiply each term that is dropped down or added.
As explained the steps of synthetic division in first part
x-3=0 ⇒ x=3 which is a
In step 3, Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. So, 3 is multiplied.
As explained in Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
The columns which is formed by above steps are added.
He will give about 99 prizes to each student
And angle is formed by the union of two vertices or corners.
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