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3 years ago

If a line crosses the y-axis at (0,1) and has a slope of 4/5, what is the equation of the line ?

1 answer:

6 0

The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:

y=4x/5+1 now to rearrange into standard form ax+by=c

y=(4x+5)/5

5y=4x+5

5y-4x=5

So the answer is D.

However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.

5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:

4x-5y=-5

Apparently whomever/whatever posed this question to you was unaware of this convention :P

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Priya bought x grams of flour. Clare bought 3/8 more than that.

iris [78.8K]

Answer:

Step-by-step explanation:

y=x+3/8x

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3 years ago

A florist must make 5 identical

Sonbull [250]

Answer:

A. 40x + 10y + 10z = $160

B. 8 Roses, 2 lilies and 2 irises

1. 20x + 5y + 5z = $80

2. 4x + y + z = $16

3. 8x + 2y + 2z = $32

Step-by-step explanation:

Cost for each flower = $160/5 = $32

So we have $32 for each bouquet consisting of 12 flowers each.

Roses = x = $2.50 each

lilies = y = $4 each

irises = z = $2 each

8x + 2y + 2z = $32

8($2.50) + 2($4) + 2($2) = $32

$20 + $8 + $4 = $32

$32 = $32

a. Maximum budget is $160

40x + 10y + 10z = $160

40($2.50) + 10($4) + 10($2) = $160

$100 + $40 + $20 = $160

$160 = $160

b. From above

8x + 2y + 2z = $32

8 Roses, 2 lilies and 2 irises

c. No. There are other solutions If total cost is not limited

1. 20x + 5y + 5z

20($2.50) + 5($4) + 5($2)

$50 + $20 + $10

= $80

2. 4x + y + z

4($2.50) + $4 + $2

$10 + $4 + $2

= $16

3. 8x + 2y + 2z

8($2.50) + 2($4) + 2($2)

$20 + $8 + $4

= $32

7 0

2 years ago

The weight of a box varies directly as the volume of the box. If a 138-pound box has a volume of 23 gallons, what is the weight

kolezko [41]

Answer:

D. 150 pounds

Step-by-step explanation:

For be directly proportional, it has to be that as one value increases the other does it equally, so

If 138 pound box has a volume of 23 gallons for 25 gallons ?. For being directly proportional tha value must be higest

138 → 23 $x=\frac{25*138}{23} = 150$

x → 25

5 0

2 years ago

PLEASE ANSWER THIS

saveliy_v [14]

B) If the line is parallel, that means the slope is the same.
The slope for the original line is $\frac{-1-0}{6-2}$ = $\frac{-1}{4}$ .
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.

c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.

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2 years ago

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Anton [14]

Answer:

Step-by-step explanation:

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2 years ago

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