The amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
<h3>What is cos function?</h3>
It is defined as the function which is in the form of cosine waves in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have a cos function:
y = 3/2 cos(3x) + 1
We know,
f(x) = acos(bx - c) + d
The above function represents the cos function where:
a = amplitude
b = is the period of the function
c = phase shift
d = vertical shift
On comparing we get:
a = 3/2
Thus, the amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
Learn more about the cos function here:
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Answer:
Option (4) and Option (6)
Step-by-step explanation:
By the zero product property,
If (x - a)(x - b) = 0
Then, (x - a) = 0 ⇒ x = a
(x - b) = 0 ⇒ x = b
By following the zero product property,
From the given equation,
3(x - 4)(2x - 3) = 0
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ x = 
Therefore, options (4) and (6) will be the correct options.
C. 3:2 because that is 6/4 simplified
False
Step-by-step explanation:
3^2+5^2=9^2
9+25=81
34 doesn't equal 81 so its false
8(2x – 14)+13 = 4x – 27We first multiply what we can.
16x-112+13=4x-27
Then we sum
16x-99=4x-27
Then we move all the number and separated from x
16x-4x=-27+99
we simplify
12x=72
Then we divide
x=72/12
x= 6
To solve this we put 6 instend of x
8(2(6) – 14) +13 = 4(6) – 27<span>we</span> <span>aolve</span> <span>teh</span> things in parenthesis
8(12-14)+13=24-27
8(-2)+13= 24-27
We <span>just solve</span>
-16+13= -3
-3=-3
So our answer is 6 since -3 does equal to -3