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3 years ago

How do I solve -24x+6y=18;-8+2y=6 by using the system of elimination?

1 answer:

7 0

$\left\{\begin{array}{ccc}-24x+6y=18\\-8x+2y=6&\text{multiply both sides by (-3)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-24x+6y=18\\24x-6y=-18\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad0=0\\\\Answer:\ \boxed{\text{The system is dependent }}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=4x+3\end{array}\right$

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9/25 of Polly's co-workers prefer tea over coffee.

snow_tiger [21]

Answer:

36%

Step-by-step explanation:

9/25 x 100

= 36%

3 0

3 years ago

Read 2 more answers

1 When the product of 4 and a number x is added to 12, the result is 16. What is the difference between x and 8?

Aleks [24]

Answer:

x = 1

Step-by-step explanation:

12 + 4 x = 16

Subtract 12 from both sides.

4x = 4

Divide 4 on both sides.

x = 1

3 0

3 years ago

What is the length of side BC? Round your answer to the nearest tenth.

Inessa [10]

Answer:

D = 2.0 units

Step-by-step explanation:

<u><em>We'll find the length using Distance Formula:</em></u>

Distance Formula = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

D = $\sqrt{(1-3)^2+(1-1)^2}$

D = $\sqrt{(-2)^2+(0)^2}$

D = $\sqrt{4}$

D = 2.0 units <em><u>(to nearest tenth)</u></em>

8 0

2 years ago

Read 2 more answers

The sequence {an) is defined by ao = 1 and

otez555 [7]

<h3>Answer: 31</h3>

=======================================

Work Shown:

Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.

$a_{n+1} = 2*(a_n) + 1\\\\a_{0+1} = 2*(a_0) + 1\\\\a_{1} = 2*(1) + 1\\\\a_{1} = 3\\\\$

Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).

$a_{n+1} = 2*(a_n) + 1\\\\a_{1+1} = 2*(a_1) + 1\\\\a_{2} = 2*(3) + 1\\\\a_{2} = 7\\\\$

This is used to find a3

$a_{n+1} = 2*(a_n) + 1\\\\a_{2+1} = 2*(a_2) + 1\\\\a_{3} = 2*(7) + 1\\\\a_{3} = 15\\\\$

Finally we can now find a4

$a_{n+1} = 2*(a_n) + 1\\\\a_{3+1} = 2*(a_3) + 1\\\\a_{4} = 2*(15) + 1\\\\a_{4} = 31\\\\$

Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.

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3 years ago

What is the square root of 5,000?

Helga [31]

The square root of 5,000 is 70.7106781187.

8 0

3 years ago