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3 years ago

Complete the point-slope equation of the line through (1,0) and (6,-3). Use exact numbers. y-(-3)=

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

y=-3/5x+6.6

Step-by-step explanation:

formula y2-y1/x2-x1, y-y2=m(x-x2)

-3-0/6-1

-3/5

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

-3/5*x = -3/5x

-3/5*6 = 3.6 (18/5)

3.6 +3

y=-3/5x+6.6

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4.5w = 5.1w - 30<br><br> Please help!!!

Lelu [443]

4.5w = 5.1w - 30

4.5w - 5.1w = -30

-0.6w =-30

Divide both sides by -0.6

-0.6w/-0.6 = -30/-0.6

<span>w = 50

</span>I hope this helps.

6 0

3 years ago

The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

Take $x+1=u$

Differentiate with respect to $x$

$dx=du$

So,

$R(x)=$ ∫ $u\ln(u)\,du$

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

4 0

3 years ago

Find the area of the shape below

djverab [1.8K]

Break it down into a rectangle and triangle.
Area of rectangle is lw
One side of the rectangle is 8 (MA)
The other side is 6
Area is 8x6 = 48

Area of a triangle is 1/2 bh
h is 8
b is 10(AZ) - 6 (ME) = 4
Area of triangle is 1/2 (4 x 8) = 12

Add 48 and 12 to get 60
The area is 60

7 0

3 years ago

How do u divide 100 by 625 to get.16

jolli1 [7]

I get 6.25 I don't see that

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3 years ago

What is the interior angle sum of 31-gon

Vadim26 [7]

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles = 29 * 180

Sum of Interior Angles = 5,220

4 0

3 years ago