X = 13
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Answer:
2
Step-by-step explanation:
Factors for 14: 1, 2, 7, and 14. Factors for 16: 1, 2, 4, 8, and 16.
The greatest common factor being 2, as they both have it.
Answer:the company bought 12 computers and 4 printers.
Step-by-step explanation:
Let x represent the number of computers that the company bought.
Let y represent the number of printers that the company bought.
The company buys a total of 16 machines. It means that
x + y = 16
Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that
550x + 390y = 8160 - - - - - - - - - - 1
Substituting x = 16 - y into equation 1, it becomes
550(16 - y) + 390y = 8160
8800 - 550y + 390y = 8160
- 550y + 390y = 8160 - 8800
- 160y = - 640
y = - 640/ - 160
y = 4
Substituting y = 4 into x = 16 - y, it becomes
x = 16 - 4
x = 12
We are given the following function:
This function is equivalent to the function:
Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:
or in interval notation:
Answer:
Step-by-step explanation:
Rigid transformation:
Translation, reflection and rotation are the example rigid transformation, in which size and shape of a figure doesn't change after the transformation.
Image A'B'C'D' will be exactly same as original trapezoid ABCD shown in the figure attached.
∠B ≅ ∠B'
∠A ≅ ∠A'
AB = A'B' = 6 units
CD = C'D' = 4 units
