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kolbaska11 [484]
2 years ago
13

Write the equation in the standard linear equation form (Ax+By=C) if possible. Is the equation linear? y/3+x=5

Mathematics
1 answer:
mojhsa [17]2 years ago
8 0

Answer:

3x + y = 15

Step-by-step explanation:

y/3 + x = 5

You can first move the x and y variable around so it fits the standard linear equation format.

x + y/3 = 5

In order to make it look more like the standard format, you can multiply both sides of the equation by 3 to get rid of the 3 in the denominator of the y variable.  It would look like this:

3 ( x +y/3) = 3 ( 5 )

When you multiply this out, you get this:

3x + y = 15

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A bicycle wheel has a diameter of 63centermeter.the wheel.during a journey the wheel makes a 510revolation turn.how many meter d
olga55 [171]
63 × 510 = 32130

anything to ask please pm me
3 0
2 years ago
The standard form of the equation for a quadratic function is, with he vertex of the graph of the function at the point (p,q). t
ludmilkaskok [199]

Answer:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

Step-by-step explanation:

y = a (x − x₁) (x − x₂)

Expand:

y = a (x² − x₁x − x₂x + x₁x₂)

y = a (x² − (x₁ + x₂)x + x₁x₂)

Distribute a to the first two terms:

y = a (x² − (x₁ + x₂)x) + ax₁x₂

Complete the square:

y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²

y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)

Therefore:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

3 0
2 years ago
Find the area of the figure.<br> help asap!
Alborosie
165

5x5= 25
12x12=144
25+144= 165
4 0
3 years ago
Read 2 more answers
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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3 years ago
Which numbers round to 3,100 when rounded to the nearest hundred
Furkat [3]

one number that could round to 3 100 when rounded is 3 120

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3 years ago
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