Step-by-step explanation:
The first term is 6x3
Because he subtracted like terms 8x3 and 2x3
Length (L): L
width (w): (2/3)L
Perimeter (P) = 2L + 2w
290 = 2(L) + 2(2/3)(L)
870 = 6L + 4L
870 = 10L
87 = L
width (w): (2/3)L = (2/3)(87) = 2(29) = 58
Answer: width = 58 ft, length = 87 ft
Answer:
option B is correct, i.e. (f+g)(x) = x² + 3x - 5.
Step-by-step explanation:
Given f(x) = 3x + 1.
Given g(x) = x² - 6.
To find (f+g)(x).
The rule of Arithmetic of functions is:- (f+g)(x) = f(x) + g(x).
(f+g)(x) = (3x+1) + (x²-6).
(f+g)(x) = x² + 3x + 1 - 6.
(f+g)(x) = x² + 3x - 5.
Hence, option B is correct, i.e. (f+g)(x) = x² + 3x - 5.
Answer:
35 square units.
Step-by-step explanation:
To find the area of a parallelogram, the formula is the exact same as finding the area of a rectangle. So 7 x 5 is 35.
<u>Answer:</u>
The range of the function y = 2cos x is -2 <y < 2 .
<u>Step-by-step explanation:</u>
We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,
since ,
cos (x + 2π) = cos x
So, the range of the function y = 2cos x is -2 <y < 2 .
