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zhenek [66]
3 years ago
6

4. For each equation, determine if =-2 is a solution. Explain or show your reasoning.

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

a. 14 b. -2

Step-by-step explanation:

a. 10=2x-18

28=2x ; x=14

b. 3x+12=2x+6+4

3x+12=2x+10

x=-2

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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
3 years ago
Which of the following is the complete factorization of 3x2-6x-240?
AURORKA [14]
1.  Reduce  <span>3x2-6x-240   to    x^2 - 2x - 80

2.  Use " ^ " to indicate exponentiation

3.  Factor  </span>x^2 - 2x - 80 using completing the square:

     x^2 - 2x + 1^2 - 1^2 - 80

         (x+1)^2 - 1  - 80
          (x+1)^2 - 81
          (x+1)^2 - 9^2  = (x+1-9)(x+1 +9), or (x-8)(x+10)

Final answer, with all factors shown:      3(x-8)(x+10)
4 0
3 years ago
HELP PLEASE!! I need help​
chubhunter [2.5K]

Answer:

C=5.25+2.50x

Step-by-step explanation:

It starts with a base cost of $5.25 and increases by $2.50 for every ticket sold. Add 2.50(number of tickets) to the admission cost to get the total cost.

4 0
3 years ago
Read 2 more answers
Find the y intercept of 2x - 5y + 7 = 0
Tanya [424]
The answer is in the picture below have a good day :)

8 0
2 years ago
Does someone know how to do this?
amid [387]

3√x+2 = √x+4

divide both sides by 3

√x+2 = √x+4 / 3

remove radical by squaring both sides

x+2 = x+4/9

x+2 = x/9 + 4/9 =

8x/9 = -14/9

8x*9 = -14*9=

72x = -126

x = -7/4

8 0
3 years ago
Read 2 more answers
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