For this you need to find the lcm of 36 and 60 = 180
therefore :
Mel needs to buy 5 packets of cups

(36*5=180cups)
and 3 packets of plates (60*3=180 plates)

8 0

3 years ago

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What is the range of the function y=e^4x? y<0 y>0 y<4 y>4

Oliga [24]

We have been given the function $y=e^{4x}$

We know that the range is set of y values for which the function is defined. Therefore, we will find the value for x and then observe the restriction is y's values.

$y=e^{4x}\\\ln y = \ln (e^{4x})\\\ln y =4x\\x=\frac{1}{4}\ln y$

Now, we know that logarithm function is not defined for negative values. Hence, the value for y is always greater than zero.

Therefore, the range of the function is given by y>0

B is the correct option.

7 0

3 years ago

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Solve the following system of equations by substitution

den301095 [7]

Answer:

c. (2, -18)

Step-by-step explanation:

y = -5x - 8

y = 3x - 24

3x - 24 = -5x - 8

8x = 16

x = 2

y = 3x - 24

y = 3(2) - 24

y = 6 - 24

y = -18

Answer: c. (2, -18)

5 0

2 years ago