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3 years ago

QUESTION 29 Write the equation of the function.

Mathematics

1 answer:

sweet [91]3 years ago

3 0

Answer:

y = 2 -√(x+1)

Step-by-step explanation:

The square root function is reflected across the x-axis and shifted 1 unit to the left and 2 units up.

y = -√x . . . . . reflects the function across the x-axis

y = -√(x+1) . . . shifts the reflected function 1 unit to the left

y = 2 -√(x +1) . . . shifts the above function 2 units up

The graph is of the equation y = 2 -√(x+1).

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3 years ago

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3 years ago

Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of

g100num [7]

STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm

STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48

STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm

CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250

ANSWER: Shelf two is 114 cm.

Hope this helps! :)

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3 years ago