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IgorLugansk [536]

3 years ago

11

Where do you find the solution on a graph, when you graph a system of equations

1 answer:

blagie [28]3 years ago

4 0

Answer and Step-by-step explanation:

<em>Rearrange the equation so "y" is on the left and everything else on the right.</em>

<em>Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)</em>

<em>Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).</em>

<em>Solve systems of equations by graphing. A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. </em>

Have a Awesome day!

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Ierofanga [76]

Answer:

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3 years ago

the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?

Soloha48 [4]

<u>Given</u>:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

<u>General term:</u>

The general term of the geometric sequence is given by

$a_n=a(r)^{n-1}$

where a is the first term and r is the common ratio.

The 11th term is given is

$a_{11}=a(4)^{11-1}$

$48=a(4)^{10}$ ------- (1)

The 12th term is given by

$192=a(4)^{11}$ ------- (2)

<u>Value of a:</u>

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

$48=a(1048576)$

Dividing both sides by 1048576, we get;

$\frac{3}{65536}=a$

Thus, the value of a is $\frac{3}{65536}$

<u>Value of the 10th term:</u>

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term $a_n=a(r)^{n-1}$ , we get;

$a_{10}=\frac{3}{65536}(4)^{10-1}$

$a_{10}=\frac{3}{65536}(4)^{9}$

$a_{10}=\frac{3}{65536}(262144)$

$a_{10}=\frac{786432}{65536}$

$a_{10}=12$

Thus, the 10th term of the sequence is 12.

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3 years ago

Kenneth rode his skateboard 3 miles to the park and it took him 30 minutes. What was his speed

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Answer:

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Answer:

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solniwko [45]

3/7

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2 years ago