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Sloan [31]
3 years ago
6

What is -3y+5x=12 in slope intercept form

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

y= \frac{3}{5}x-4

Step-by-step explanation:

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The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th
12345 [234]

Answer:

the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = \dfrac{2400 \ cm^2}{p}

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be \dfrac{2400 \ cm^2}{p} + 20

The area of the printed material can now be:  A = (p+30)(\dfrac{2400 }{p} + 20)

=2400 +20 p +\dfrac{72000}{p}+600

Let differentiate with respect to p; we have

\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}

Also;

\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}

For the smallest area \dfrac{dA}{dp }=0

20 - \dfrac{72000}{p^2}=0

p^2 = \dfrac{72000}{20}

p² = 3600

p =√3600

p = 60

Since p = 60 ; replace p = 60 in the expression  q = \dfrac{2400 \ cm^2}{p}   to solve for q;

q = \dfrac{2400 \ cm^2}{p}

q = \dfrac{2400 \ cm^2}{60}

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = \dfrac{2400 \ cm^2}{p} + 20 = \dfrac{2400 \ cm^2}{60} + 20  = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

4 0
3 years ago
Carly uses the shipping box in the shape of a rectangular prism as shown in the diagram to mail a present to her grandmother. Wh
Diano4ka-milaya [45]
This is the concept of volumes of solid figures;
volume=length*width*height
the dimensions of our figure is:
length=15 1/2 in=31/2 in
width=10 1/4 in=41/4 in
height= 12 in
thus the volume will be:
volume=(31/2*41/4*12)
volume=1906 1/2 in^3
the answer is 1906 1/2 in^3
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3 years ago
Find the equation of the line that is perpendicular to the line 4x+2y=1 and passes through the point (-4,3)
serious [3.7K]

First find the slope of the given line:

4x +2y = 1

Subtract 4x from each side:

2y = -4x + 1

Divide both sides by 2:

y = -2x +1/2

The slope is -2.

Now use the slope to find the y-intercept. Because  the line is perpendicular, you need to use the negative inverse of the slope.

The negative inverse of -2 is 1/2

Now using the point-slope form y - y1 = m(x-x1)

Use the inverse slope for m, and the given point(-4,3) to get:

y - 3 = 1/2(x+4)

Simplify:

y - 3 = x/2 +2

Add 3 to each side:

y = x/2 + 5

Reorder the terms to get y = 1/2x +5

The answer is D.

5 0
3 years ago
Solve the inequality:<br><br> x^2(x+2)(x-7) is greater than or equal to 0
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Answer:

greater

Step-by-step explanation:

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3 years ago
Credit cards are _____________.
zheka24 [161]

Answer: revolving open end credit

Open end credit is when you you're allowed to borrow however much under a certain limit and you must repay that amount within a certain amount of time

3 0
3 years ago
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