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Pachacha [2.7K]
3 years ago
11

Write an equation of the line whose x-intercept and y-intercept are each twice the corresponding intercepts of the graph of the

equation 5x - 2y = 10
Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0

Answer:

5x - 2y = 20

Step-by-step explanation:

Find x-intercept by substituting y for 0

5x - 2y = 10

5x - 2(0) = 10

Isolate x to get x-intercept.

5x = 10

x = 2

(2, 0)

Twice of this intercept is (4,0).

Find y-intercept by substituting x for 0

5x - 2y = 10

5(0) - 2y = 10

Isolate y to get y-intercept.

-2y = 10

y = -5

(0, -5)

Twice of this intercept is (0, -10).

A line should have the y-intercept -10 and x-intercept 4.

In original equation, double the 10.

Test for x and y intercepts.

5x - 2y = 20

-2y = 20

y = -10

5x - 2y = 20

5x = 20

x = 4

An equation is 5x - 2y = 20.

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A

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Factor out the following by taking out the GCF18cd^2+12c^2d+9cd
Arturiano [62]

The given polynomial is:

18cd^2+12c^2d+9cd

The first step to factor taking out the GCF is to write each term in prime factored form, so:

\begin{gathered} 18cd^2=2\times3\times3\times c\times d\times d \\ 12c^2d=2\times2\times3\times c\times c\times d \\ 9cd=3\times3\times c\times d \end{gathered}

The second step is to identify the factors common in all terms, they are: 3xcxd

Finally, factor out the GCF:

3cd(6d+4c+3)

The answer is above

5 0
1 year ago
The output of a process is stable and normally distributed. If the process mean equals 23.5, the percentage of output expected t
erastovalidia [21]

Answer:

Option a) 50% of output expected to be less than or equal to the mean.

Step-by-step explanation:

We are given the following in the question:

The output of a process is stable and normally distributed.

Mean = 23.5

We have to find the percentage of output expected to be less than or equal to the mean.

Mean of a normal distribution.

  • The mean of normal distribution divides the data into exactly two equal parts.
  • 50% of data lies to the right of the mean.
  • 50% of data lies to the right of the mean

Thus, by property of normal distribution 50% of output expected to be less than or equal to the mean.

6 0
4 years ago
Please help! Correct answer gets brainliest!
Blababa [14]

Answer:

7

Step-by-step explanation:

6 0
3 years ago
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Use factoring to solve <br> 3x^2-11x-6=0
Zielflug [23.3K]

Answer:

x = -0.62 and x = 4.29

These values are approximations !

Step-by-step explanation:

You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?

Anyway, to solve it, you can still use the ABC formula.

3x²-11x-6=0

a = 3

b =-11

c = -6

x = [11 + √{121 -4(3 *-6)} ]/ 2*3

x = [11 + √{121 -4(-24)} ]/ 6

x = [11 + √{121 + 96} ]/ 6

x = [11 + √{217} ]/ 6

x = 4.29 This is an approximation !

x = [11 - √{121 -4(3 *-6)} ]/ 2*3

x = [11 - √{121 -4(-24)} ]/ 6

x = [11 - √{121 + 96} ]/ 6

x = [11 - √{217} ]/ 6

x = -0.62 This is an approximation !

extra: see the graph.

4 0
3 years ago
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