30pts! im currently in the middle of taking the test :(
2 answers:
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Answer: 1000 hot dogs and and 1600 sodas were sold.
Step-by-step explanation:
Let x be the number of hot dogs and y be the number of sodas.
Given : The concession stand at an ice hockey rink had receipts of $6200 from selling a total of 2600 sodas and hot dogs.
Each soda sold for $2 and each hot dog sold for $3 .
Then, we have the following system of two linear equations:-
Multiplying 2 on both sides of (1), we get
Now, Eliminate equation (3) from equation (2), we get
Put x=1000 in (1), we get
Hence, 1000 hot dogs and and 1600 sodas were sold.
1) Finding the zeros of this function f(x) =x² +3x -18
f(x) = x²+3x-18 <em>Factoring this equation, and rewriting it</em>
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<em>Which two numbers whose sum is equal to 3 and their product is equal to 18?</em>
<em>6 -3 = 3 and 6 *-3 = -18</em>
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<em>So we can rewrite as (x +6) (x-3)</em>
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(x+6)(x-3)=0 <em>Applying the Zero product rule, to find the roots</em>
x+6=0,
x=-6
x-3=0,
x=3
S={3,-6}
2) Setting a table, plugging in the values of x into the factored form: (x-6)(x-3)
x | y |
1 | -14 (1 +6)(1-3) =-14
2 | -8 (2 +6)(2-3) =-8
3 | 0
4 | 10
-5 | -8
-6 | 0
3) Plotting the function:
