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Semenov [28]
2 years ago
13

What is an equation of the line that passes through the points (1, 2) and (2, -1)?

Mathematics
1 answer:
natita [175]2 years ago
4 0

Answer:

y = -x + 3

Step-by-step explanation:

The equation of a straight line is generally written as;

y = mx + b

where m is the slope and b is the intercept

To get the slope we use the slope formula

Mathematically, that is;

m = (y2-y1)/(x2-x1) = (-1-2)/2-1 = -3/1 = -1

To get the intercept we equate any of the points to the partial equation that we have;

From;

y = -x + b

2 = -1 + b

b = 1 + 2 = 3

So the equation is;

y = -x + 3

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Which of the following is the solution to the system of equations?
drek231 [11]

Answer:

B (3/4,5/4)

Step-by-step explanation:

y = 2- x

\frac{5}{4}  = 2 -  \frac{3}{4}

y = 3x - 1

\frac{5}{4}  = 3 \times  \frac{3}{4}  - 1

\frac{5}{4}  =  \frac{9}{4}  -  \frac{4}{4}

Hope this helps ^-^

6 0
3 years ago
If the average weight of sophomore boys in Arizona is 140 pounds with a standard
yKpoI14uk [10]

Answer:

Light

Step-by-step explanation:

He is below the standard deviation limits for average or normal.

5 0
3 years ago
g "They hired an analyst who collected a random sample of 40,361 Game of Thrones fans, and found that 8,337 of those fans said t
Viktor [21]

Answer:

The lower bound for a 90% confidence interval is 0.2033.

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 = 40361, \pi = \frac{8337}{40361} = 0.2066

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}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033.

6 0
3 years ago
a fruit basket contains oranges and grapefruits. one-third of the oranges and one-fourth of the grapefruits were spoiled. you th
Juli2301 [7.4K]
1/3 oranges were spoiled.....u threw away 4 oranges...
1/3 of what = 4....
1/3x = 4
x = 4 * 3
x = 12 oranges

1/4 grapefruits were spoiled....u threw away 7
1/4 of what = 7
1/4x = 7
x = 7 * 4
x = 28

so ur fruit basket contained 12 oranges and 28 grapefruits before u discarded the spoiled ones

6 0
3 years ago
What is the value of m in the equation?<br> 3(18+ 2) = 4m<br><br> A.15<br> B.14<br> C.6<br> D.60
Yuki888 [10]
The value of m is D.15
4 0
2 years ago
Read 2 more answers
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