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Answer:
2x² +5x -12 = 0
Step-by-step explanation:
When p and q are roots of a quadratic, its factored form can be written as ...
(x -p)(x -q) = 0
Here, the roots are given as -4 and 3/2, so the factored form would be ...
(x -(-4))(x -(3/2) = 0
Multiplying by 2 gives us ...
(x +4)(2x -3) = 0
Expanding the product, we find the desired quadratic is ...
2x² +5x -12 = 0
First, change the two mixed numbers in the expression into an improper fraction: 25/6 + 5/3.
Then, find the Lowest Common Denominator of both fractions, which is 6, and set both denominators equal to that. Remember, whatever you do on one side you must do to the other: 25/6 + 10/6
Add the two together: 25/6 +10/6 = 35/6.
To make it a mixed number again, find how many times 6 goes into 35, which is 5 times, with a remainder of 5. Your answer is 5 5/6
Answer + Explanation:
5 Cupcakes = $7.5.
How: First you see that 1 cupcake is $1.50. Multiply 5 by 1.50 and you get 7.50
18 Dollars = 12 Cupcakes
How: First you see that 1 cupcake is $1.50. Multiply 1.50 by numbers until you see 18.
18 Cupcakes = $27
How: First you see that 1 cupcake is $1.50. Multiply 18 by 1.50 and you get 27.
I Hope This Helped :D
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