Answer:
<h2>The answer is option A</h2>
Step-by-step explanation:
f(x) = x - 2
g(x) = x²
In order to find (fog)(-1) we must first find (fog)(x)
To find (fog)(x) substitute the g(x) into f(x) that's for every x in f (x) replace it with
g (x).
That's
(fog)(x) = x² - 2
To find (fog)(-1) substitute the value of x that's - 1 into (fog)(x)
We have
(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1
Hope this helps you
Answer:
24 and 66degrees
Step-by-step explanation:
Given the equation
cos(8x+18)=sin(−2x+36)
In trigonometry identity, cos theta = sin (90- theta)
The given expression becomes;
sin (90 - (8x+18)) = sin(−2x+36)
sin will cancel out to have;
90 - (8x+18) = (−2x+36)
90-8x-18 = -2x+36
-8x +72 = -2x+36
-8x + 2x = 36 - 72
-6x = -36
x = 36/6
x = 6
Hence the value of x is 6
cos(8x+18) = cos(8(6)+18)
= cos 66
Also
sin(−2x+36)
= sin(−2(6)+36)
= sin(−12+36)
= sin 24
Hence both angles are 24 and 66degrees
Answer:
27 miles in the morning and 85 miles in the afternoon.
Explanation:
Let m be the number of miles they rode in the morning. They rode 4 more than 3 times this many in the afternoon; this gives us the expression
3m+4
to represent the miles ridden in the afternoon.
Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:
m+3m+4 = 112
Combine like terms:
4m+4 = 112
Subtract 4 from each side:
4m+4-4= 112-4
4m = 108
Divide both sides by 4:
4m/4 = 108/4
m = 27
They rode 27 miles in the morning.
That means in the afternoon, they rode
3m+4 = 3(27)+4 = 81+4 = 85 miles.
B
Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 45.
