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Lesechka [4]
3 years ago
5

Simplify. y = (x + 1)2 −

Mathematics
2 answers:
aleksklad [387]3 years ago
8 0

Answer:

m=2

Step-by-step explanation:

(x+1).2

y=2x+2

m=2

xxTIMURxx [149]3 years ago
5 0

Answer:x=-1

Step-by-step explanation:0=2x=2

-2x=2

x=-1

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What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?
posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\

Since\  \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0

5 0
3 years ago
Write the following ratio using two other notations. 7 to 6
trasher [3.6K]
7:6 and 7/6. hope this helps.
3 0
3 years ago
The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard d
TEA [102]

Answer:

The probability that it would take more than four hours to construct a soapbox derby car = 0.1587 or 15.87\%

Step-by-step explanation:

Given -

Mean (\nu )  = 3 hours

Standard deviation (\sigma  ) = 1 hours

Let X be the no of hours to construct a soapbox derby car

the probability that it would take more than four hours to construct a soapbox derby car =

P(X > 4)  = P(\frac{X - \nu }{\sigma}> \frac{4 - 3 }{1})

                = P(Z > 1)                   Put (Z = \frac{X - \nu }{\sigma})

                 =  1 -  P(Z <  1)            

                 =  1 - .8413                    Using z table

                  = 0.1587

3 0
3 years ago
Matthew scored a total of 168 points in basketball this season. He scored 147 of those in the regular season, and and the rest w
MaRussiya [10]

Answer:

12.5%

Step-by-step explanation:

Step1. Determine the points Matthew had during playoff by subtracting points made during regular season from total points in season.

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-   <u>147 points regular season </u>

    21 points scored in playoff

Step 2. Get the percentage, by dividing playoff points over total points in season

21 ÷ 168 = 0.125

Step 3. Multiply it by 100 to get the percentage equivalent from decimal.

0.125 x 100% = 12.5%

7 0
3 years ago
Can someone please help me factor 3x^3-19x^2+33x-9
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Its (3x-1)(x-3)(x-3)

8 0
3 years ago
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