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ch4aika [34]
2 years ago
5

-6x -6y = 66 2x + 4y = -32​

Mathematics
1 answer:
RoseWind [281]2 years ago
7 0

Answer:

(23/2, 1/2)

Step-by-step explanation:

Let's solve this system through elimination by addition/subtraction:

Divide all three terms of the first equation by 3.  This results in the equivalent system

-2x - 2y = 33

2x + 4y = -32

Combining like terms results in:

2y = 1, and so y = 1/2.

Let's use the first equation and y = 1/2 to find x:

-6x - 6(1/2) = 66

This becomes -6x - 3 = 66, or -6x = 69, or x = -69/6 , or x = 23/2

The solution is thus (23/2, 1/2)

-

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4. Write an equation for the line that is parallel to the given line and that passes
pentagon [3]

Answer:

y=\frac{5}{2}x-14

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

y=\frac{5}{2}x-10

In the given equation, \frac{5}{2} is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of \frac{5}{2}. Plug this into y=mx+b:

y=\frac{5}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{5}{2}x+b

Plug in the given point (-6,-29) and solve for b

-29=\frac{5}{2}(-6)+b

Simplify -6 and 2

-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b

Add 15 to both sides to isolate b

-29+15=-15+b+15\\-14=b

Therefore, the y-intercept is -14. Plug this back into y=\frac{5}{2}x+b:

y=\frac{5}{2}x-14

I hope this helps!

4 0
2 years ago
Write the product using exponents.
nalin [4]
6.4^4 (b^3) or as shown in photo

3 0
2 years ago
It don’t make no sense
Soloha48 [4]
Yes it does not, i want my free points
6 0
3 years ago
What is the reference angle for 295 degrees?
Kay [80]
A reference angle is always between 0-90. so 360-295=65deg.
<span>Hints:  </span>
<span>Quadrant I angle: reference angle is same as given angle. </span>
<span>Quad II: subtract angle from 180 </span>
<span>Quadrant III: subtract 180 from angle </span>
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4 0
3 years ago
Read 2 more answers
A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la
vodka [1.7K]

Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

p=X/n=640/800=0.8

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83

The 96% confidence interval for the population proportion is (0.77, 0.83).

4 0
3 years ago
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