Answer:
Step-by-step explanation:
5x^2 - 2y.....x = 2 and y = 3
5(2^2) - 2(3) =
5(4) - 6 =
20 - 6 =
14 <===
Answer:
5.235 (Simplifies as $5.24)
Step-by-step explanation:
1 gal = 20 miles
1.5 gal = 30 miles
1 gal = $3.49
1.5 gal = $5.235
Answer: last option
Step-by-step explanation:
You know that the weight of his pumpkin 4.9 pounds and that, if he guesses its weight within 0.3 pounds, he will get the pumpkin for free.
Then, to find the minimum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:
Rewriting it:
To find the maximum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:
Rewriting it:
Answer:
cos(2x) = 2cos²(x)-1
Step-by-step explanation:
We know the trigonometry identity as follows :
cos(2x) = cos²(x) – sin²(x) ....(1)
Also, sin²(x)+cos²(x) = 1
or
sin²(x) = 1-cos²(x)
Put the value of sin²(x) in equation (1)
cos(2x) = cos²(x) – (1-cos²(x))
= cos²(x) –1+cos²(x)
cos(2x) = 2cos²(x)-1
Hence, 2cos²(x)-1 is equal to cos(2x).