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4vir4ik [10]
3 years ago
5

Factor the denominator of the rational function y= 2x/x^2-16

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

x^2-16 factors to (x-4)(x+4)

You use the difference of squares rule here which is

a^2 - b^2 = (a-b)(a+b)

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Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu
svetoff [14.1K]

Answer:

  • after week 7: 4374 pennies
  • 486 pennies: after week 5

Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

  an = 6·3^(n-1)

This can be rearranged to ...

  an = 2·3^n

__

When n=7, the value is ...

  a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

__

To find when there are 486 pennies saved, we can solve the equation ...

  486 = 2·3^n

  243 = 3^n

  log(243) = n·log(3) . . . . . . . take the logarithm

  log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

7 0
3 years ago
What is two numbers whose difference is 25.6
Wewaii [24]
What is two numbers whose difference is 25.6 There are plenty of numbers and digits has a difference of 25.6. we shall illustrate these values using the following.
<span><span>1.       </span>50.0 – 24.4 = 25.6</span>
<span><span>2.       </span>100.1 – 74.5 = 25.6</span> <span><span>
3.       </span>150 – 124.4 = 25.6</span> <span><span>
4.       </span>78 – 52.4 = 25.6</span> <span><span>
5.       </span>90 – 64.4 = 25.6</span> <span><span>
6.       </span>88.5 -62.9 = 25.6</span>  



5 0
3 years ago
3y=2x+3<br><br> Solve for y<br> :D
In-s [12.5K]

Answer:

y = 2x/3 + 1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Alicia borrowed $15,000 to buy a car. She borrowed the money at 8% for 6 years
myrzilka [38]

Answer:

She have to pay the bank at the end of the 6 years = 222000$

Step-by-step explanation:

Formula applied in this case where price, interest rate and time duration is mentioned.

Interest = prt/100

Substituting all the given values in the formula.

interest = 15000 * 6 * 8/100

150 * 6 * 8 = 7200

Interest + 15000 = 15000 + 7200 = 222000$ has to pay the total.

In this question amount is 15000 multiply by 6 and by 8 then divide it by 100 so we get the interest then we add it in to amount so we get an answer that is total amount which he has to pay.                                                                           Hope this helps! :P PLZ GIVE ME BRAINLIST

7 0
3 years ago
Find the midpoint of AB for: A(7,0)|and B(0,3)​
liberstina [14]

Answer:

\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}

Step-by-step explanation:

The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.

The formula is:

(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).

Therefore,

x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3

Substitute the values into the formula.

(\frac {7+0}{2}, \frac{0+3}{2})

Solve the numerators first.

(\frac {7}{2}, \frac{3}{2})

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.

(3.5, 1.5)

3 0
3 years ago
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