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Lilit [14]
3 years ago
14

5x-y=7

Mathematics
1 answer:
seropon [69]3 years ago
3 0

Answer:

see graph of y = 5x - 7

Step-by-step explanation:

If graphing is the task, you should rewrite the equation in a y = ax + b form. All straight lines can be described in this form, only the a and b determine which line it is.

Your equation 5x-y=7 has the 5x on the left side, so lets move it to the right. It will get a negative sign (this is the same as subtracting 5x like you did in your picture)

5x - y = 7

-y = 7 - 5x

Now we still have the -y which should be a +y. So we multiply left and right with -1 and get:

y = -7 + 5x

If we swap the -y and 5x (we can, because they are just an addition), we get:

y = 5x - 7

Now the equation is in its "normal" form. It's like the y = ax + b with a and b chosen as a=5 and b=-7.

The normal form is handy because you can immediately see the slope is 5 and the intersection with the y-axis is at y=-7.

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In the picture below, which lines are lines of symmetry for the figure?
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5 0
3 years ago
it took melanie 1/3 of an hour to ride her bike 2 3/4 of a mile how many miles per hour can melanie ride her bike
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7 0
3 years ago
Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numb
dezoksy [38]

Answer:

The calculated  value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

<u>Step-by-step explanation</u>:

<em>Given first sample size n₁ = 677</em>

<em>First sample proportion </em>

<em>                              </em>p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{172}{677} = 0.254<em></em>

Given second sample size n₂ = 3377

<em>second sample proportion </em>

<em>                              </em>p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{654}{3377} = 0.1936<em></em>

<u><em>Null Hypothesis : H₀ :</em></u><em>  p₁ = p₂.</em>

<u><em>Alternative Hypothesis : H₁</em></u><em> :  p₁ ≠ p₂.</em>

      Test statistic

                Z = \frac{p_{1} ^{-}-p^{-} _{2}  }{\sqrt{P Q(\frac{1}{n_{1} } +\frac{1}{n_{2} }) } }

where

        P = \frac{n_{1} p_{1} + n_{2} p_{2}  }{n_{1}+n_{2}  } = \frac{677 X 0.254+3377 X 0.1936}{677+3377}

       P =  0.2036

      Q = 1 - P = 1 - 0.2036 = 0.7964

       

         Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964(\frac{1}{677 } +\frac{1}{3377 }) } }

        Z =  3.775

<em>Critical value ∝=0.05</em>

<em>Z- value = 1.96</em>

<em>The calculated  value Z = 3.775 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The Two Population proportion are not equal</em>

<em></em>

3 0
3 years ago
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