YOU WILL GET BRAINIEST PLEASE ANSWER 20 POINTS!!!!!
1 answer:
Answer:
Both A and B . . . . . and 2 more answers
Step-by-step explanation:
Completing the square, you get
tan²(x) -tan(x) +0.25 = 2.25 . . . . . add 0.25
(tan(x) -0.5)² = 1.5²
tan(x) = 0.5 ± 1.5 = {-1, 2}
For tan(x) = -1, the solutions are ...
x = arctan(-1) = 135°, 315°
For x = 2, the solutions are ...
x = arctan(2) ≈ 63.435°, 243.435°
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Y = total amount of money spent
x = cost of one drink
So our expression is:
4x + 12.75
4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.
The problem also asks us to find the total price, so we write an equation:
We insert what x is which in this case is $3
Order of Operations tells us to multiply first:
Now add your values:
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.
Let's check our problem just in case:
Since we now know what y is equal to, we can plug that into our original equation and check just to verify
We should subtract 12. on both sides of the equation because of inverse operations:
We are left with:
We divide:
Our result is:
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.
x = cost of one drink
So our expression is:
4x + 12.75
4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.
The problem also asks us to find the total price, so we write an equation:
We insert what x is which in this case is $3
Order of Operations tells us to multiply first:
Now add your values:
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.
Let's check our problem just in case:
Since we now know what y is equal to, we can plug that into our original equation and check just to verify
We should subtract 12. on both sides of the equation because of inverse operations:
We are left with:
We divide:
Our result is:
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.