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riadik2000 [5.3K]
3 years ago
8

!!30 POINTS!!

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0
For this case we have the following functions:
 f (x) = 3x + 4
 g (x) = 2 ^ x - 1
 The intersection with the y axis of the original functions is:
 f (0) = 3 (0) + 4 = 0 + 4 = 4
 g (0) = 2 ^ 0 - 1 = 1 - 1 = 0
 The transformations that must be applied so that they have the same intersection with the y axis are:
 f (x) - 3
 g (x) + 1
 Answer:
 
f (x) - 3
 
g (x) + 1
 
option 1
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When a line is perpendicular to another line, its slope is the negative reciprocal to that slope.

From this information, we already know that the slope of our new line is -1/2, because -1/2 is the negative reciprocal to 2 (which is the slope of the original line).

y = -1/2x + b

Because the point (-5,3) is given, we can simply plug the x and y coordinates into our incomplete equation.

3 = -1/2(-5) + b

3=2.5 + b

b = 0.5

ANSWER: y = -1/2x + 0.5

THE GRAPH IS LINKED; RED LINE IS y=2x-3 AND BLUE LINE IS y=-1/2x + 0.5

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3 years ago
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Assoli18 [71]

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C: The diameter of the cylinder is about 3 ft.

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Step-by-step explanation:

5 0
3 years ago
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Tom [10]

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x=21

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Divide using long division. HELP ASAP!!
pav-90 [236]

Answer:

The answer to your question is the first option

Step-by-step explanation:

Write the division

                               7x³  - 7x²   + 6x   +4                        Result

                  x + 1     7x⁴  -  0x³  - 1x²  +  10x  + 15

                             -7x⁴   -  7x³

                               0     -  7x³  - 1x²      

                                       + 7x³ +7x²

                                          0    + 6x² +  10x

                                                - 6x²  -    6x

                                                    0    +   4x  + 15

                                                          -    4x  -   4

                                                                0   + 11            Remainder

Result =  7x³ - 7x² + 6x + 4 + 11 / x + 1

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