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hammer [34]
3 years ago
7

Write the equation of a line in slope-intercept form with a slope of -1/3 and a y intercept of 4

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0
Y = -1/3x + 4 . 4 is the intercept -1/3x is the slope
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Which of the following expressions are equivalent? Justify your reasoning,
marshall27 [118]

Answer:

B and D

Step-by-step explanation:

B:

Anything to a negative power means that it is 1/that to the positive power.

E.g. x^-1 = 1/x^1

In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)

1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.

D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).

x^1/3 * x^1/3 * x^1/3 is also equal to just x.

This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:

x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.

Therefore B and D are equivalent because they both equal x.

Hope this helped!

7 0
3 years ago
Write the standard form of the line that contains a slope of and y-intercept of 3. Include your work in your final answer.
Brut [27]
Standard form is y=mx+b, where m is the slope and b is the y intercept, substitute to find y=3x+3.
Hope this helps!
7 0
3 years ago
Help on both please ! Im a new student at this school and didn't learn this
larisa86 [58]
For the first one, you have to convert the fractions to an improper fraction. To do that you need to multiply the bottom denominator number (3) by the whole number (1) then you need to add the numinator, so 3x1+2= 5. You have to keep the denominator so 1 2/3 is equal to 5/3. Then do the same to 2 1/5, and you get 11/5. Now you have to find a common denominator, that's basically the smallest number that both numbers can go Into, the lowest common denominator for 3 and 5 is 15. So 3x5= 15, so we have to multiply the top number by 5 which is 25. So 5/3 is equal to 25/15, then 5x3= 15, so you need to multiply 11 by 3 which is 33. So 11/5 is equal to 33/15. Then you add them. Add the numinators (25+33=58. Then you keep the denominator 15. So when u add it it's 58/15 then you need to simplify that and you get 3 13/15.

The second one you turn them into improper fractions like I told you how to before (multiply the bottom number by the whole number then add he top number, then add he same denominator.) do that for both. Then you line them right next to each other and multiply across. (I just realized that they were the same number so they are equal to 5/3 and 11/5)
Then you do 5x11 and you get 55 then do 3x5 and you get 15. 55/15 is your answer, but you need to simplify it, you need to divide 55 by 15, (not all the way just the first number) so you do 15x3 and that's 45, then you subtract that from 55, and you get 10, so then you take your denominator (15) and you answer is 3 10/15. But when you simplify it it's 3 and 2/3


Hope I helped sorry it's so long and sorry for any typos it's so long I didn't go back and check
5 0
3 years ago
Josue's overtime pay is $6 an hour more than his regular pay. He worked 7 hours at his regular wage and 5 hours at his overtime
adell [148]
The answer is: 7x + 5 (x + 6) = 138 7x + 5x + 30 = 138 12x = 138 - 30 12x = 108 x = 9 $ = regular pay and overtime = 9 + 6 = 15 $... 
5 0
3 years ago
Which rate converts to a unit rate of 65 miles per hour
bulgar [2K]
(lol were both doing unit rate rn im just pausing to do some brainly questions)

We know that Unit Rate can be found by dividing. 
i think you want the answer right now so if you need an explanation then tell me in the comments
Its number A. Hope this helped!
3 0
3 years ago
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