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adell [148]
3 years ago
7

X + y = 2

Mathematics
1 answer:
liraira [26]3 years ago
8 0

Answer:

D. (3,-1)

Step-by-step explanation:

x + y = 2  \:  \:  \:  \:  \:  \: ..(1) \\ 2x - y = 7 \:  \:  \:  \: ..(2)

from equation 1 we get,

x = 2 - y

now,

put \:  \:  \:  \: x = 2 - y \:  \:  \: in \: (2)

we get,

2(2 - y) - y = 7 \\ 4 - 2y - y = 7 \\ 4 - 3y = 7 \\  - 3y = 7 - 4 \\  - 3y = 3  \\  \\ y =  \frac{3}{( - 3)}  \\  \\ y =  - 1

now,

put \:  \:  \:  \: y =  - 1 \:  \:  \:  \: in \: (1)

we get,

x + ( - 1) = 2 \\ x - 1 = 2 \\ x = 2  + 1 \\ x = 3

hence, the value of x = 3 and y = (-1)

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On Sunday, Antonio spent a total of 3 1/4 hours driving and 1 3/4 hours gardening. How much longer did he spend driving than gar
sergeinik [125]

3 1/4 = 13/4

1 3/4 = 7/4

13/4-7/4= 6/4

6/4= 1 1/2 hours more

7 0
3 years ago
3x +y = -2x+8
soldier1979 [14.2K]

Answer: c) -4

Step-by-step explanation:

Get the variables on one side of 3x+y=-2x+8 and the constants on another side:

3x+y=-2x+8

(3x+y)+2x=(-2x+8)+2x

5x+y=8

Now, multiply 5x+y=8 by -2:

-2(5x+y=8)

-10x-2y=-16

Add this equation to -3x+2y=-10:

(-10x-2y=-16)+(-3x+2y=-10)

-13x=-26

x=2

Plug x=2 into -3x+2y=-10:

-3(2)+2y=-10

-6+2y=-10

2y=-4

y=-2

Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4

5 0
3 years ago
40 pts PLEASE HELP ILL GIVE BRAINLIESTS <br> A. -3 <br> B. -1/3<br> C. 1/3<br> D. 3
Licemer1 [7]
<h3>A is the answer EEEE</h3>

5 0
3 years ago
Results of a survey conducted in 15 large cities within the U.S. finds that the average commute time one way to/from work is 25.
irina1246 [14]

Answer:

We conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 25.4 minutes

Sample mean, \bar{x} = 22.1 minutes

Sample size, n = 15

Alpha, α = 0.10

Sample standard deviation, s = 5.3 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 25.4\text{ minutes}\\H_A: \mu < 25.4\text{ minutes}

We use one-tailed t(left) 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{22.1 - 25.4}{\frac{5.3}{\sqrt{15}} } = -2.411

Now, t_{critical} \text{ at 0.10 level of significance, 14 degree of freedom } = -1.345

Since,                    

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there is enough evidence to conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.

7 0
4 years ago
What is the difference between start fraction 3 over 7 end fraction and Start Fraction 1 over 14 End Fraction?
Vinvika [58]

Answer:

5/14 option number c...

3 0
3 years ago
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