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skad [1K]
3 years ago
15

Is 5x+7=x-2 a one solution?

Mathematics
2 answers:
slega [8]3 years ago
7 0

Answer:

Yes, it only has 1 solution.

Step-by-step explanation:

The solution to 5x+7=x-2 is -2 1/2, therefore, there is only 1 solution.

If you want to know how to get  -2 1/2, keep reading.

First, we must isolate the variable 'x.' To do so, we need to move all the x's to one side and all the constants or other terms to the other. First, lets move our x from the right side of the equal side to the right, and then our 7 from the left side to the right.

Remember, if you want to move a number to the other side of an equation, the neg./pos. signs have to change. If we move a positive 'x' to the other side, it will become negative. The same principle applies to the 7.

Let's swap them.

5x -x = -2 -7

Now we can simplify.

4x = -9

We're not done yet! we till have to fully isolate the 'x.' Now, we divide 4x by 4 to get rid of the 4. If we do something to one side, we have to do the same thing to the other. So, we need to divide both sides by 4.

4x/4 = -9/4

x = -9/4

x = -2 1/2

Hope this was helpful! Let me know if you have any other questions. :)

il63 [147K]3 years ago
4 0
5x-x=-2-7
4x=-9
x=2/3 or x=-2/3
Since there are 2 answers, it is not one solution.
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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence
tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 100, \pi = \frac{36}{60} = 0.6

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0
3 years ago
B = 10 feet area = 35 feet 2 Find the height of the triangle.
Alexandra [31]

Answer:

Height is 7m

Step-by-step explanation:

B = 10 feet area = 35 feet 2 Find the height of the triangle.

Area of triangle = 1/2 b×h

35 = 1/2(10×h)

35 × 2 = 10h

70 = 10h

h = 70/10

h = 7m

8 0
3 years ago
Gerald drives 200 miles in 2 1/2 hours. what is gerald's average speed?
Dimas [21]

Answer:

80mph

Step-by-step explanation:

200 divided by 2 1/2 is 80.

3 0
3 years ago
The largest prime number that is a factor of 35 is multiplied by the smallest prime number
Lubov Fominskaja [6]

Answer:

the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70

Step-by-step explanation:

6 0
2 years ago
Please help i dont understand
Llana [10]

Answer:

imma say 45m

Step-by-step explanation:

im not sure but tell me if im wrong so i can fix it. thanks

4 0
3 years ago
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