Solve the system of equations below.
2 answers:
Answer:
Option B is correct
(9, 3)
Step-by-step explanation:
Given the system of equations:
.....[1]
......[2]
Multiply equation [1] by 2 both sides we have;
.....[3]
Subtract [3] from [2] to eliminate x we get;
Combine like terms;
or
y = 3
Substitute in [1] we have;
x-2(3) = 3
x -6 =3
Add 6 to both sides we have;
x = 9
Therefore, the solution for the given system of equations is, (9, 3)
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Answer:
The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is .
The domain of the function is all real numbers and its range is between -4 and 5.
The graph is enclosed below as attachment.
Step-by-step explanation:
Let be the base formula, where
is measured in sexagesimal degrees. This expression must be transformed by using the following data:
(Period)
(Minimum)
(Maximum)
The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of radians. In addition, the following considerations must be taken into account for transformations:
1) must be replaced by
. (Horizontal scaling)
2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:
3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)
The new function is:
Given that ,
and
, the outcome is:
The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.
we know the x-intercept of the line is 1, recall that an x-intercept is when the graph intercepts or touches the x-axis, and when that happens, y = 0, so the point is really x = 1, y = 0, namely (1,0). We also know another point on the line, is (-2, 9).
Answer:
Graph attached.
Step-by-step explanation:
In the question the given parameters are as followed.
1). Amplitude a = 7
2). Period =
3). Vertical shift = 1 means mid line of the graph will be y =1 and maximum of the graph is 8 and minimum is -6.
