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OlgaM077 [116]
2 years ago
9

What is the domain of the function given below

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
8 0

Answer:

c. [-1, infinity)

Step-by-step explanation:

the domain the interval or set of valid x values (while the range is the same for the valid y values).

what is the smallest value of x we see for the graph ?

for x values we need to look left and right.

and the more left the value, the smaller it is.

so, in other words, what is the left-most x value e can find ?

x = -1

that is the "starting point" of the function. there is no functional value for any smaller x.

and then clearly, the function goes on and on to the right without any boundary in sight. so, it keeps going to the right in all eternity, that means it goes to infinity.

therefore the answer.

keep in mind that "infinity" is not a number, only a concept. so, when writing "infinity" at an interval end, it is not included (and we use a round bracket).

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Which of the following is a vertex of the figure shown below after a reflection in the y axis?
konstantin123 [22]

Answer:

A.

Step-by-step explanation:

( 5,0)

When x axises is a reflection in the y axis

5 0
2 years ago
If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​? If the co
Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has ​$1600​.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​?

We have to find t for which A(t) = 1600 when P = 1000, r = 0.07, n = 2

A(t) = P(1 + \frac{r}{n})^{nt}

1600 = 1000(1 + \frac{0.07}{2})^{2t}

(1.035)^{2t} = \frac{1600}{1000}

(1.035)^{2t} = 1.6

\log{1.035)^{2t}} = \log{1.6}

2t\log{1.035} = \log{1.6}

t = \frac{\log{1.6}}{2\log{1.035}}

t = 6.83

Using continuous interest 6.83 years before she has ​$1600​

If the compounding is​ continuous, how long will it​ be?

We have that P(0) = 1000, r = 0.07

Then

P(t) = P(0)e^{rt}

1600 = 1000e^{0.07t}

e^{0.07t} = 1.6

\ln{e^{0.07t}} = \ln{1.6}

0.07t = \ln{1.6}

t = \frac{\ln{1.6}}{0.07}

t = 6.71

Using continuous compounding, 6.71 years.

7 0
3 years ago
Admission to a local aquarium is $10 for adults and S7 for children. The aquarium collected $6,459 from the sale of 783 tickets.
Anarel [89]

Answer:

The answer is 457

Step-by-step explanation:

You set up an equation as

10a+7c=6459

a+c=783

c= child

a= adult

then you simplify to 3a=978 by taking out one of the values.  You get a - 326.

783-326=457 so there is your answer

3 0
3 years ago
If 37 represents an increase of 37, what does -37 represents
Genrish500 [490]
Probs a decrease of 37 boiiii
5 0
3 years ago
Read 2 more answers
Why is 1/2 greater than 1/4​
Mkey [24]

Answer:

its because 1/2 = 0.50  and 1/4 = 0.25

and 0.50 is greater than 0.25

~batmans wife

7 0
3 years ago
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