<u>Answer:</u>
The value of f(x) = 
when x=3 is 19, hence the correct option is ‘d’.
<u>Solution:</u>
A two degree polynomial equation is given in the question.
The equation is:
We need <em>to find the value of f(x) when the value of x is 3.
</em>
To solve a question like this we have to substitute the given value of x in the given equation and then simplify it.
Now let's substitute the value of x in the given equation.
First we square the number 3 and then multiply it with 2 and then add 1.
This is done because of the BODMAS rule, in which multiplication is given higher preference as compared to addition.
On solving the equation we get,
F(x)=2×9+1
F(x)=18+1
F(x)=19.
Therefore the value of f(x) when x=3 is 19.
Hence the correct option is ‘d’.
Answer:
- sin(4a) = -24/25
- cos(4a) = 7/25
Step-by-step explanation:
Your calculator can tell you these values:
sin(4a) = sin(4·arctan(3)) = -0.96 = -24/25
cos(4a) = cos(4·arctan(3)) = 0.28 = 7/25
_____
Some useful trig identities are ...
sin(2a) = 2tan(a)/(1 +tan(a)^2)
cos(2a) = (1 -tan(a)^2)/(1 +tan(a)^2)
Filling in the given value for tan(a), we find ...
sin(2a) = 2(3)/(1+3^2) = 6/10 = 3/5
cos(2a) = (1 -3^2)/(1 +3^2) = -8/10 = -4/5
Now, double-angle formulas are useful:
sin(4a) = 2sin(2a)cos(2a) = 2(3/5)(-4/5) = -24/25
cos(4a) = 1 -2sin(2a)^2 = 1 -2(3/5)^2 = 7/25
The desired trig function values are sin(4a) = -24/25; cos(4a) = 7/25.
Answer: a.) -1 2/3
explanation: -2 1/6 - 1 1/4= -13/6 - 5/4= -41/12 ; 1 3/4= 7/4 ; -41/12 + 7/4= -5/3 ; -5/3= -1 2/3
Answer:
so the travled 20 miles upstream and altogether the travled 60 miles
Step-by-step explanation:
