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4 years ago

8x + 3y +6 = 0 in standard form

Mathematics

2 answers:

tino4ka555 [31]4 years ago

8 0

Answer:

8x+3y+6=0

transfer 8x and 6 to the equal side which becomes

3y=-8×-6

Marina86 [1]4 years ago

5 0

Answer:

8x + 3y= -6

Step-by-step explanation:

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If f(x) = 2(x - 1) and g(x) =-2x^2 find (fºg)(-4)

vladimir1956 [14]

Answer:

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Step-by-step explanation:

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3 years ago

Ellie has a delivery van which she is going to deliver boxes each box is a cuboid brain.ly 45cm by 40cm by 35cm the space in the

jek_recluse [69]

Answer:

It will take Ellie 64 minutes to put as many boxes as possible.

Step-by-step explanation:

Let us work with meters.

The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( to convert from centimeters to meters we just divide by 100, because 1m =100cm). therefore the volume of each box is:

$V_{box}=0.45m*0.40m*0.35m=0.063m^3$

Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume $V_{van}$ is:

$V_{van}=3.6m*1.6m*2.1m=12.096m^3.$

So the amount of boxes that Ellie can put in the van is equal to the volume of the van $V_{van}$ divided by the volume $V_{box}$ of each box:

$\frac{V_{van}}{V_{box}} =\frac{12.096}{0.063}=\boxed{192\:boxes }$

So 192 boxes can be put into the van.

Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be:

$\frac{192boxes}{3boxes/minute} =\boxed{64\:minutes}$

So it takes Ellie 64 minutes to put as many boxes into the van as she can.

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3 years ago

The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 3 cm/s. when the length is

Nataly [62]

The rate of increase is found by differentiating with resepect to time. The product rule comes into play here.

A = LW

dA/dt ≈ (dL/dt)·W + L·(dW/dt)

... = (6 cm/s)·(5 cm) + (7 cm)·(3 cm/s)

... = 30 cm²/s + 21 cm²/s

... = 51 cm²/s . . . . rate of area increase

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4 years ago