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2 years ago

line jk passes through points j(–4, –5) and k(–6, 3). if the equation of the line is written in slope-intercept form, y

Mathematics

1 answer:

likoan [24]2 years ago

4 0

The y - intercept of the line is -21 .

Slope - inercept form of equation of line :

y = m x + c

where m is the slope and c is the y - intercept of the line .

Writing equation in slope - intercept form :

( - 5 - 3 ) / ( - 4 + 6 ) = ( y - 3 ) /( x + 6 )

( -8 ) / ( 2 ) = ( y - 3 ) /( x + 6 )

- 4 ( x + 6 ) = y - 3

- 4 x - 24 = y - 3

y = - 4 x - 21

Hence , the y - intercept of the line is -21 .

To learn more on equation of line follow link :

brainly.com/question/19417700

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Zack wants a new skateboard that costs $98. He has a coupon for 20% off the original price. The sales tax is 6%, what is the fin

svet-max [94.6K]

The final cost of skateboard will be $83.10

Step-by-step explanation:

Given,

Cost of skateboard = $98

Coupon = 20% off

Amount of discount = 20% of cost of skateboard

$Amount\ of\ discount=\frac{20}{100}*98\\\\Amount\ of\ discount=\frac{1960}{100}\\\\Amount\ of\ discount=\$19.6$

Cost of skateboard after discount = Cost of skateboard - Amount of discount

Cost of skateboard after discount = 98 - 19.6 = $78.4

Sales tax = 6%

Sales tax amount = 6% of discounted price

$Sales\ tax\ amount=\frac{6}{100}*78.4\\\\Sales\ tax\ amount=\frac{470.4}{100}\\\\Sales\ tax\ amount=\$4.70$

Final cost of skateboard = Discounted price + Sales tax

Final cost of skateboard = 78.40+4.70 = $83.10

The final cost of skateboard will be $83.10

Keywords: sales tax, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago

Please help with these, will give brainliest of all correct

insens350 [35]

Y=44x+290
y=-28x+290
those are the first two

4 0

3 years ago

If John can mow the lawn in 2/3 of an hour and George can mow the lawn in 1 hour, how long will they take to mow the lawn togeth

snow_tiger [21]

This is esay to do when you realize the the speed of mowing is addtive. This is if John mows at 1 lawn / (2/3) hour and Gerge mows at 1 lawn / 1hour, the total speed of mowing is:

1 / (2/3) + 1 = 3/2 + 1 = 5/2

=> 5/2 of lawn per hour

Now, the time is calcualted as the amount of lawn divided by the speed:

1 lawn / (5/2 lawn/hour) = 2/5 hour.

Answer: 2/5 of an hour.

8 0

3 years ago

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Write a true proportion from each set of four numbers. Is it possible to make another proportion using the same set of numbers?

Feliz [49]

6;9 = 2;3
thats one only hope it help a little

3 0

3 years ago

Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market

xenn [34]

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

3 0

3 years ago

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