Answer:
Step-by-step explanation:
The range of f(x) = cos(x) is [-1, 1].
That of f(x) = A cos(x) is [-A, A], and
That of f(x) = A cos(x) + 2 is [ b-A, b+A ].
The function g(x) = A sin(x)+b has the same range.
Step-by-step explanation:
We are given the co-ordinates,
x : -2, -1, 0, 1, 2
y : 8, 5, 2, -1, -4
According to the graph, we see that this function represents a straight line.
The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
So, taking any two points we will find the equation of the straight line.
Consider, (0,2) and (1, -1). Now, slope is given by,
m = 
i.e. m = -3
Now, we will find the y-intercept of this equation using (0,2) and m = -3,
i.e. y = -3x + c
i.e. 2 = c
Hence, the equation of the straight line is y = -3x + 2.
Answer:
c) 300.9 ft²
Step-by-step explanation:
He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft².
Hence:
1 bag of mulch = 70.8ft²
4 1/4 bags of mulch = x ft²
Cross Multiply
1 bag × x ft² = 4 1/4 × 70.8
x ft² = 4 1/4 × 70.8/1
x = 300.9 ft²
Option c is correct.
Answer:
The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30
Step-by-step explanation:
Apparently, we're trying to see if ...
-3(x)(5 -4) + 3(x -6) = -12(x) -6
by evaluating the expressions for x=2:
-3(2)(5-4) +3(2 -6) ?= -12(2) -6
-6 -12 ?= -24 -6
-18 ≠ -30 . . . . . . . . . shows expressions are not equivalent
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This demonstration matches the one in the first choice:
The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30
Answer:
I think it's the associative property of multiplication
Step-by-step explanation:
