Find the equation for the line that passes through the points ( 1 , 1 ) and ( − 5 , 6 ) . Give your answer in point-slope form. You do not need to simplify.

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Answer 1
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Answer:

Step-by-step explanation:

Answer 2
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Final answer:

The equation of the line passing through (1,1) and (-5,6) is y - 1 = -5/6(x - 1).

Explanation:

To find the equation for the line passing through the points (1, 1) and (-5, 6) in point-slope form, we need to calculate the slope and use one of the given points. The slope, denoted by 'm', can be calculated as the change in y divided by the change in x. Substituting the values (1, 1) and (-5, 6) into the slope formula, we get m = (6 - 1) / (-5 - 1) = 5 / -6 = -5/6. Using the point-slope form, y - y1 = m(x - x1), we can substitute the slope and one of the given points to obtain the equation of the line.

Using the point (1, 1), we substitute x1 = 1 and y1 = 1 into the equation. This gives us y - 1 = -5/6(x - 1).

Therefore, the equation of the line that passes through the points (1, 1) and (-5, 6) in point-slope form is y - 1 = -5/6(x - 1).

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Ivan bought a $1000 bond with a 4.5% coupon that matures in 30 years. Whatare Ivan's annual earnings for this bond?
A. $45.00
B. $25.00
C. $4.50
D. $22.50

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Ivan's annual earnings for this bond is $45.00

What is a bond?

A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.

Ivan's annual interest earning would be :

= $1,000 x 4.5 %

= $45 per year

Hence, Ivan's annual earnings for this bond is $45.00

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Evaluate the expression if b = 5 and c = -4.
3c - 2b

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Answer:

3(-4) - 2(5) = -12 - 10 = -22

which statement correctly defines the interquartile range for the set of data represented by the box plot A 14-1=13 , B 11-6=5, c 11-1=10, d 6-1=5​

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Answer:

B

Step-by-step explanation:

Answer:

The answer is B, 11-6=5

Step-by-step explanation.

Since the range of both quartiles is 11 and 6. You would subtract both of these to get the answer. Which in this case, is 5.

Help help please I dont know how to do this

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Answer:

50

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

78 + 124 + 75 = 277

360 - 277 = 83

A newspaper carrier has ​$7.10 in change. He has nine more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he​ have?

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Let q represent the number of quarters he has. Then q-9 is the number of dimes, and 3q is the number of nickels. His total change is ...

0.25q + 0.10(q-9) + 0.05(3q) = 7.10

0.50q - 0.90 = 7.10

q = (7.10 +0.90)/0.50 = 16

The carrier has 16 quarters, 7 dimes, and 48 nickels.

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 296 people entered the park, and the admission fees collected totaled 844.00 dollars. How many children and how many adults were admitted?

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Answer:8

Step-by-step explanation: