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2 years ago

Which point is not a solution to this graphed inequality?

Mathematics

2 answers:

Leya [2.2K]2 years ago

7 0

Answer:

B. (-4, -3)

Step-by-step explanation:

If we graph the points onto the graph, you can see that (-4, -3) is not in the solution set shown in the graph. In order to be a solution in the set, the solution has to be graphed <em>above </em>the dotted line; it has to be in the shaded region.

AveGali [126]2 years ago

4 0

Answer:

(-4,-3)

Step-by-step explanation:

(-4,-3) is not the choice becuase it is is outside the shaded area.

Hopes this HElps!!!!

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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

2 years ago

How to solve subtracting rational coefficients

yuradex [85]

Step-by-step explanation:

There are a few steps to follow when you add or subtract rational expressions with unlike denominators.

To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. The LCM of the denominators of fraction or rational expressions is also called least common denominator , or LCD.

Write each expression using the LCD. Make sure each term has the LCD as its denominator.

Add or subtract the numerators.

Simplify as needed.

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2 years ago

Describe and correct the error below.

Sergeeva-Olga [200]

Cos ( 390)
- 4 cot (-45)
Csc (60)
Hope this helps

6 0

2 years ago

Evaluate the expression

andreev551 [17]

Step-by-step explanation:

this is correct answer thank you

3 0

2 years ago

Whats the difference of the two expression? (3/7x+9)-(2/7x-3)

Aleksandr-060686 [28]

$\left(\frac{3}{7}x+9\right)-\left(\frac{2}{7}x-3\right)\\\\=\frac{3}{7}x+9-\frac{2}{7}x-(-3)\\\\=\frac{3}{7}x+9-\frac{2}{7}x+3\\\\=(\frac{3}{7}x-\frac{2}{7}x)+(9+3)\\\\=\frac{3-2}{7}x+12\\\\=\boxed{\frac{1}{7}x+12}$

4 0

3 years ago