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alukav5142 [94]
2 years ago
15

What is the equation of the line that has a slope of 3 and a​ y-intercept of​ 2?

Mathematics
1 answer:
svetoff [14.1K]2 years ago
5 0

The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.

Using the slope and y intercept given the equation is:

Y = 3x + 2

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Question 8 (1 point)
AleksandrR [38]

Answer:

solution is x=3

Step-by-step explanation:

logx-log3=log(x-2)

apply log property

log a- log b= log a/b

logx-log3=log(x-2)\\log (\frac{x}{3} )=log(x-2)

we have log on both sides

so we remove the log and make the arguments equal

\frac{x}{3} = x-2

solve for x, multiply whole equation by 3

x=3(x-2)\\x=3x-6\\x-3x=-6\\-2x=-6\\x=3

now plug in 3 for x  and check

logx-log3=log(x-2)\\log3-log3=log(3-2)\\0=0

solution is x=3

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3 years ago
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Answer:

Before adding, we need to make sure the denominators are the same. We can do so by multiplying the fraction by a common multiple. In this case, 3 is a multiple of 6, so we can change 1/2 to 3/6. 3/6 is still equal to 1/2, so nothing changes.

Now we have 3/6+1/6, which is 4/6 (add the numerator).

4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.

So, therefore, the answer is 2/3.

4 0
2 years ago
Rosa earns $120 per week tutoring math. Each week, she puts $36 from her paycheck in her bank account to save for college. Rosa
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Answer:

36/120 x 100

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3 0
2 years ago
Suppose that salaries for recent graduates of one university have a mean of $25,700 with a standard deviation of $1350. Using Ch
sergeinik [125]

Answer:

75% of the data will reside in the range 23000 to 28400.

Step-by-step explanation :

To find the range of values :

We need to find the values that deviate from the mean. Since we want at least 75% of the data to reside between the range therefore we have,

1 - \frac{1}{k^2} =\frac{75}{100}

Solving this, we would get k = 2 which shows the value one needs to find lies outside the range.

Range is given by : mean +/- (z score) × (value of a standard deviation)  

⇒ Range : 25700 +/- 2 × 1350

⇒ Range : (25700 - 2700) to (25700 + 2700)

Hence, 75% of the data will reside in the range 23000 to 28400.

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3 years ago
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Answer:

Agreed

Step-by-step explanation:

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