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Vlada [557]
2 years ago
14

Choose the most convenient method to graph the line x - y = 5.

Mathematics
2 answers:
givi [52]2 years ago
7 0
The most convenient method I would choose is slope-intercept form, which is y=mx+b. So, make this equation equal in terms of y.

x-y=5
subtract x from both sides
-y = 5 - x
multiply both sides by -1 so y isn't negative
y = 5 + x
5 +x is the same thing as x+5, so
y = x+5

Now, you can easily sub in any number for x and you can easily get y. Here are some points you can plot:

(0, 5), (1, 6), (2, 7), (3, 8) and the list goes on. I hope this helped!
dmitriy555 [2]2 years ago
7 0

Answer:

Step-by-step explanation:

x - y = 5

Write in slope-intercept form: y = mx +b

-y = -x + 5

Multiply the entire equation by(-1)

y = x - 5

When x = 0 ; y = 0 - 5 = -5    ;              (0,-5)

When x = 1  ; y = 1 - 5 = - 4     ;              (1 , -4)

When x = 4 ; y =  4 - 5 = -1      ;              (4 , -1)

When x = -1 ; y = -1 - 5 = - 6      ;           (-1,-6)

Plot the points and join the points

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At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
Serhud [2]

Answer:

The value of the test statistic is t = 1.97

Step-by-step explanation:

The null hypothesis is:

H_{0} = 250

The alternate hypotesis is:

H_{1} \neq 250

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the null hypothesis value, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 251.6, \mu = 250, \sigma = 5.4, n = 44

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}

t = 1.97

The value of the test statistic is t = 1.97

4 0
3 years ago
Hep I’m bout to fail if I don’t get this right will give brainless if correct
nalin [4]

Answer:

x = 4

ac = 56

Step-by-step explanation:

6x + 3 = 7x - 1

7x - 6x = 3+ 1

6x + 3  + 7x + 1 = 56

x = 4

3 0
3 years ago
Two angles are supplementary the first angle measures 40 degrees what is the second angle
nydimaria [60]
The second angle would be 140⁰. When two angles are supplementary, they add up to 180⁰.
180⁰-40⁰=140⁰
4 0
3 years ago
Help pleaseeeeeeeeeeeeeeeeeeeeeee
bixtya [17]

Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

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

(1)           (12, 18, 27, ...)

The common ratio is:

r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\  r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}

3 0
3 years ago
What goes into 9 12 6 3 and 4
Leokris [45]
It could possibly be one.
3 0
3 years ago
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