3 years ago

Find the range of the function. f(x) = 3x - 15

1 answer:

4 0

The range of this function is all real numbers because f(x) can be anything. This is because x can be any number you want it to be.

answer: all real numbers

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Wich is a better buy?4 cans for $6 or 8 cans for $10

Oliga [24]

Answer:

Step-by-step explanation:

6/4=1.5 (price per can)

10/8=1.25 (price per can)

1.25 is cheaper than 1.5

the second one is the better buy

8 0

2 years ago

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Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0

2 years ago

If 20 is one third of a number the result is the double of the number. what is the number?

PSYCHO15rus [73]

Answer: $12$

Step-by-step explanation:

3 0

2 years ago

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There are 18 sweets in a packet. 8 of the sweets are mint what fraction of the sweets are not mint

Tcecarenko [31]

10/18 because 18-8=10 and the total amount is 18 so the fraction is 10/18

6 0

2 years ago

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-77x - 78x = -155x

FromTheMoon [43]

Answer:

I don't understand

Step-by-step explanation:

You answer it.

6 0

2 years ago