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Bond [772]
3 years ago
5

Identify the oblique asymptote of f(x) = quantity x squared minus 4 x plus 8 over quantity x plus 2.

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

y = x - 6.

Step-by-step explanation:

Do the division:

x + 2 ) x^2 - 4x + 8 (  x - 6 <------- Quotient.

          x^2 + 2x

                    -6x + 8

                    -6x - 12

                     ----------

                              20

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A window is designed as shown below. Find the value of x
Alex787 [66]

Answer:

x=20

Step-by-step explanation:

We know that a line is 180 degrees, and the base of the cemi-circle is a line. So,  we would have:

x+7x+x=180

9x=180

x=20

Hope this helps!!

6 0
3 years ago
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If the interior angle sum of a regular polygon is 5, 940 degrees, how many sides does it have?
Snezhnost [94]

An apple, potato, and onion all taste the same if you eat them with your nose plugged

8 0
2 years ago
The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
3 years ago
Solve the system by the elimination method.<br><br> 2a + 3b = 6<br> 5a + 2b - 4 = 0
mariarad [96]
2a + 3b = 6 --> Equation 1
5a + 2b = 4 --> Equation 2
Equation 1 * 5 --> 10a + 15b = 30
Equation 2 * 2 --> 10a + 4b = 8
Equation 1 - Equation 2 --> 11b = 22 --> b = 2
Sub b=2 in Equation 1 (or 2, either works):
2a + 3b = 6
2a + 3(2) = 6
2a + 6 = 6
2a = 0
a = 0

b = 2, a = 0

5 0
3 years ago
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The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W
mario62 [17]

Answer:

\$63,163.16

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

a=58,353\\r=2\%=2/100=0.02

substitute

y=58,353(1+0.02)^x

y=58,353(1.02)^x

For x=4 years

y=58,353(1.02)^4=\$63,163.16

4 0
3 years ago
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