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belka [17]
3 years ago
5

Y = x + 32y = 2x + 6​

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

Answer:

x=0

y=3

Step-by-step explanation:

2(x+3)=2x+6, substituting the first equation in the second

2x+6=2x+6, rearranging the equations

2x-2x=6-6

0=0

y=0+3

y=3

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If the demand function for a commodity is given by the equation
Jet001 [13]

Answer:

q=26.92 p=31.13

Step-by-step explanation:

p^{2} +16q=1400\\\\q=\frac{1400-p^{2} }{16} ;\\\\700-p^{2} +10q=0\\\\q=\frac{p^{2}-700 }{10} ;\\\\

q=q\\\\\frac{1400-p^{2} }{16} =\frac{p^{2}-700 }{10} \\\\10(1400-p^{2})=16(p^{2}-700)\\\\14000-10p^{2}=16p^{2}-11200\\\\14000+11200=16p^{2}+10p^{2}\\\\25200=26p^{2}\\\\p^{2}=\frac{25200}{26} \\\\p=+\sqrt{\frac{25200}{26}} \\\\p=31.13

replace p in any equation and

q=\frac{1400-p^{2} }{16} \\\\q=\frac{1400-(31.13)^{2} }{16}\\\\q=26.92

3 0
3 years ago
Fiften increased by a number​
tiny-mole [99]

Answer:

15+n

Step-by-step explanation:

Let the number be 'n'

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increased by= +

a number= n

Hope this helps ;) ❤❤❤

7 0
3 years ago
Read 2 more answers
What is the equation in standard form of the line y = 1/9x + 5?
patriot [66]

Answer:

the standard form of equation is in the form of

x - 9y = -45 , so the answer is B

7 0
3 years ago
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Use the t-distribution and the sample results to complete the test of the hypotheses. Use a significance level. Assume the resul
Ksenya-84 [330]

Answer:

Test statistic = 1.3471

P-value = 0.1993

Accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 4

Sample mean, \bar{x} = 4.8

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 2.3

First, we design the null and the alternate hypothesis

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We use two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{4.8 - 4}{\frac{2.3}{\sqrt{15}} } = 1.3471

Now, we calculate the p-value.

P-value = 0.1993

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.

3 0
3 years ago
Explain why 2n+1 must be an odd number
Lorico [155]
If is an integer (a whole number), then the expression represents an even number, because even numbers are the multiples of 2. The expressions 2 n − 1 and 2 n + 1 can represent odd numbers, as an odd number is one less, or one more than an even number.
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3 years ago
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