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Oxana [17]
2 years ago
11

X-5y=21 and-6x=24 solve by substitution

Mathematics
1 answer:
Zepler [3.9K]2 years ago
8 0

Answer:

The value of x is (-4) and y is (-5)

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • x – 5y = 21
  • -6x = 24
<h3><u>To Find</u>;</h3>
  • Value of x
  • Value of y

Now,

-6x = 24

-6x/(-6) = 24/(-6)

x = -4

So, Substitute the value of x in x – 5y = 21

x – 5y = 21

-4 – 5y = 21

-4 + 4 – 5y = 21 + 4

-5y = 25/

-5y/(-5) = 25/(-5)

y = -5

Thus, The value of x is (-4) and y is (-5)

<h3><u>For </u><u>Verification</u>;</h3>

x – 5y = 21

-4 – 5(-5) = 21

-4 + 25 = 21

21 = 21

-6x = 24

-6(-4) = 24

24 = 24

L.H.S = R.H.S

Hence Verified!

<u>-TheUnknownScientist 72</u>

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A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let
kondaur [170]

Answer:

Null hypothesis: p_1 -p_2 =0,

Alternative hypothesis:p_1 -p_2 > 0  

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

Some Notation

p_1 represent the proportion of the news media that is Democrat

p_2 represent the proportion of the public that is Democrat

On this case the claim that they want to test is: "That a larger proportion of members of the news media are Democrats when compared to the general public". So we want to check if the population proportion p1 is higher than p2, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Null hypothesis:p_1 \leq p_2

Or p_1 -p_2 \leq 0

The null hypothesis can be on this way: p_1 -p_2 =0, but is better put the complement of the alternative hypothesis.    

Alternative hypothesis:p_1 -p_2 > 0  

5 0
3 years ago
Is negative 1/4 rational or irrational or not a real number
telo118 [61]
Rational because it is an integers and integers are negitive numbers
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3 years ago
Line XY bisects and is perpendicular to AB and CD. CD = 10 and XY = 24. What is the length of AP?
myrzilka [38]

Answer:

<u>AP = 13</u>

Step-by-step explanation:

See the attached figure.

CD = 10 and XY = 24

Line XY bisects and is perpendicular to AB and CD

∴ XY bisects at Y

∴ CY = 0.5 CD = 0.5 * 10 = 5

And from the geometry of the shape

P is the midpoint of XY

∴ XP = YP = 0.5 XY = 0.5 * 24 = 12

XY is perpendicular to CD

∴ ΔPYC is a right triangle at Y

∴ PC (hypotenuse) = \sqrt{PY^2+YC^2} =\sqrt{12^2+5^2}=\sqrt{144+25} =\sqrt{169} =13

From the figure AP = PC = 13

8 0
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ololo11 [35]

Answer:

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Step-by-step explanation:

3 0
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A company estimates that its cost and revenue can be modeled by the functions C)-0.75x+20,000
lisabon 2012 [21]

Let C(x) = -0.75x + 20,000 and R(x)= -1.50x then the profit function exists noted as P(x) = R(x) - C(x)

P(x) = -1.50x - (-0.75)x + 20,000

P(x)  = -0.75x + 20000

Therefore, the profit function exists -0.75x + 20000.

<h3>How to find profit function?</h3>

The profit function can be estimated by subtracting the cost function from the revenue function. Let profit be expressed as P(x), the revenue as R(x), the cost as C(x), and x as the number of items traded. Then the profit function exists noted as P(x) = R(x) - C(x).

Given:

C(x) = -0.75x+20,000 and R(x)= -1.50x

P(x) = R(x) - C(x)

= -1.50x - (-0.75)x + 20,000

= -1.50x + 0.75x + 20,000

Apply rule -(-a) = a

= -1.5x + 0.75x + 20000

Add similar elements:

-1.5 x + 0.75x = -0.75x

P(x)  = -0.75x + 20000

Therefore, the profit function exists -0.75x + 20000.

To learn more about profit function refer to:

brainly.com/question/16866047

#SPJ9

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