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Law Incorporation [45]
3 years ago
11

Please help I’m being timed

Mathematics
1 answer:
olasank [31]3 years ago
4 0

Answer: D: x ∈ [0, 4)

Step-by-step explanation:

For a function:

y = f(x)

The range is the set of the outputs, the possible "y" values

The domain is the set of the inputs, the possible "x" values.

Now, we want to see the domain in which the function increases.

First, we can see that the whole domain of the graph is the interval:

[0, 9]

And a function is increasing if, reading from left to righ, the graph goes upwards.

In the image, we can see that the graph increases in the segment:

[0, 4)

Where we have an open segment because in the point x = 4 the graph stops increasing.

Then the domain where the function increases is:

D: x ∈ [0, 4)

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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
What's three different ways to write a negative 1/2
Irina-Kira [14]
- 0.5

\frac{-1}{2}

\frac{1}{-2}

Hope this helps
7 0
3 years ago
Read 2 more answers
If y=mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?A. 1/3B. 3C. 8D. 16
Anna007 [38]
\begin{gathered} y=mx\text{  when  x=4 and y=12} \\ 12=m(4) \\ 4m\text{ =12} \\ m=\frac{12}{4}=3 \end{gathered}

The constant of proportionality,m, is 3 (option B)

5 0
11 months ago
What is the perimeter of this triangle HELP!!<br><br><br><br> A-4<br> B-20<br> C-40<br> D-60
Sophie [7]

Answer:

60 and

x=4

Step-by-step explanation:

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2 years ago
The equation of the line f is y =4/9x+3/2.Line g is perpendicular to f. What is the slope of line g?
tangare [24]

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

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