Solve the quadratic equation by completing the square.x^2-14x+46=0First choose the appropriate form and fill in the blanks with
the correct numbers. Then solve the equation. If there’s more than one solution, separate them with commas.
1 answer:
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Answer:
1 point baskets = 19
2 point baskets = 22
3 point baskets = 5
Step-by-step explanation:
Given:
Number of points scored (P) = 78
Number of 1 point baskets = 19
Number of 2 and 3 points basket = 27
Let the number of 2 point baskets be 'x' and 3 point basket be 'y'.
Therefore,
Now, points scored per 2 point basket = 2
So, points scored for 'x' baskets =
Also, points scored for 'y' baskets =
Now, total points scored is equal to the sum of 1 point baskets, 2 point baskets and 3 point baskets. Therefore,
Therefore, number of 2 point baskets = 22
Now, number of 3 point baskets = 27 - 22 = 5
So, there were 19 one point baskets, 22 two point baskets and 5 three point baskets.
Answer:
Step-by-step explanation:
Given :Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew.
To Find: a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew.
Solution :
Let total number of tomatoe plants be T
Since we are given that Lauryn grew tomato plants = p
We are also given that Padma grew 5 fewer than 3 times the number Lauryn grew.
⇒
We are also given that Kent grew 6 more than 4 times the number Lauryn grew.
⇒
So, total number of tomato plants :
⇒
⇒
Hence a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew is