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Lorico [155]
3 years ago
15

The graph of the function f(x)=−|2x| is translated 4 units down.

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Answer:

g(x)=-\left | 2x \right |-4

Step-by-step explanation:

The parent function is given as

f(x)=-\left | 2x \right |

during transformation , the graph is pulled down by 4 units, hence the value of y is decreased by 4 units

Hence

For new function

g(x)=f(x)-4\\f(x)=-\left | 2x \right |

Hence

g(x)=-\left | 2x \right |-4

please refer to the image attached in this regard

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Solve the system of equations using the substitution method.
Delicious77 [7]

Answer:

x = 14

y = -3

Step-by-step explanation:

Given

2x + 8y =4

x = -3y + 5

Required

Solve

Substitute x = -3y + 5 in 2x + 8y =4

2(-3y + 5) + 8y =4

Open bracket

-6y + 10 + 8y =4

Collect like terms

-6y +  8y =4-10

2y =-6

Divide both sides by 2

y = -3

Substitute y = -3 in x = -3y + 5

x = -3 * -3 + 5

x = 9+ 5

x = 14

8 0
3 years ago
A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If w
sveticcg [70]

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

7 0
3 years ago
What is 23,009,040 in scientific notation
Crank
23,009,040 = 2.300904 x 107
4 0
4 years ago
Reduce this algebraic fraction. y^3 -3y^2+y-3 / y^2-9
blondinia [14]

Answer:

y³ - 3y² + 1/y+3

Step-by-step explanation:

y² - 9 = (y - 3) ( y + 3)

y-3/(y-3)(y+3) = 1/y+3

6 0
3 years ago
Read 2 more answers
What is 6/15-9/15 i need help plz
Xelga [282]

Answer:

-3/15 is the difference between 6/15-9/15

3 0
3 years ago
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