Answer:
f(x) = 3(x + 8)(x - 2)
Step-by-step explanation:
The intercept form of a quadratic function is y = a(x - r)(x - s), where r and s are the x-intercepts and a is the vertical stretch/compression factor.
If the intercepts are at (-8, 0) and (2, 0), and the vertical stretch is 3, just substitute these values into the intercept form formula, and you're done!
Please mark as Brainliest! :)
Cos(2x) = cos^2(x) - sin^2(x) - cos(x)
but sin^2(x) = 1 - cos^2(x)
cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)
cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)
cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)
cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)
I think this is what you have asked for.
Oh this question is kinda tricky. At first glance it’s 1 : 1.5 but notice the units. The model car is 10 inches long and the actual car is 15 feet long.
I think you know where to go from there, but 15 feet * 12 inches = 180 inches.
10 : 180 simplifies to 1 : 18 inches
<span>22 + (3^2 – 4^2)
= </span><span>22 + (9 – 16)
</span><span>= 22 -7
= 15</span>