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3 years ago

Find the slope (2/10,-3/2)(3/5,1/2)

1 answer:

3 0

Slope is equal to the change in y over the change in x, or 'rise over run'.
m=change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=y^2−y^1/x^2−x^1

Substitute in the values of x and y into the equation to find the slope.
m= 1/2 −(− 3/2 )/ 3/5 −( 2/10 )

Simplify.
m=5

The slope is 5

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Item 3

NikAS [45]

Answer:

I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.

5 0

2 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

2 years ago

How are problems like these solved

Flura [38]

the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees

so,

(21x-2) + (38x +5) = 180

21x+38x −2+5=180

59x+3=180

59x=177

x=3

4 0

2 years ago

A store employee conducted a survey of 390 randomly selected customers. According to the survey, 180 of the customers often use

shusha [124]

You do 390/100 = 180/x then 390×X=390X
180×100=18000
390X=18000
390X÷390=X
18000÷390=46.15384615=46%

7 0

3 years ago

Read 2 more answers

The image of the point (2, 1) under a translation is (5, -3). Find

Yanka [14]

Answer:

The coordinates of the image of the point (6,6) under the same translation is: (9, 2)

Hence, option C is correct.

Step-by-step explanation:

The image of the point (2, 1) under a translation is (5, -3).

It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).

Thus,

The rule of translation can be formulated such as:

(x, y) → (x + 3, y - 4)

(2, 1) → (2 + 3, 1 - 4) → (5, -3)

Thus,

Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):

(x, y) → (x + 3, y - 4)

(6, 6) → (6 + 3, 6 - 4) → (9, 2)

Therefore, the coordinates of the image of the point (6,6) under the same translation is: (9, 2)

Hence, option C is correct.

4 0

2 years ago