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2 years ago

Select the correct row in the table.

Mathematics

1 answer:

Dafna11 [192]2 years ago

4 0

Answer:

(-4, 0)

Step-by-step explanation:

The x-intercept is when y = 0

Since y = 0 at x = -4, that is the row which reveals the x - intercept of the function.

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You purchase a car in 2010 for $25,000. The value of the car decreases by 14% annually. What would the value of the car be in 20

Fed [463]

Answer: -$6,500

Step-by-step explanation:

Here we could , use the arithmetic progression where

T(2020 - 2010) = a + ( n - 1 )d

T10 = a + ( 10 - 1 )d --------------- 1

a = $25,000, n = 10 and d = 14% of $25,000 = $3,500 the common difference.

Note since it decreases the common difference d = -$3,500.

Now substitute for the values in the equation above.

T10 = 25,000 + 9 x -3,500

= $25,000 - $31,500

= -$6,500 (deficit )

4 0

2 years ago

Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}$

Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

Then we get

xy=C

$y=\frac{C}{x}$ .

Answer: $y=\frac{C}{x}$ .

8 0

3 years ago

Simplify x² + 3x + 2/X +1

kiruha [24]

Answer:

Step-by-step explanation:

It will be 7x+1

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2 years ago

What is the probability of rolling a 4 (four) on the 1st die.... and a 1 (one) on the 2nd die. Yes.. it matters which die is whi

disa [49]

If you're doing probabilities, there is a 1:6 chance on both (im guessing dont trust me i did probabilities a long time ago)

4 0

3 years ago

2. Write the equation of the line perpendicular to 3x-4y=7 and passing through (0,0).

Alenkinab [10]

Answer: y=-4/3x

Step-by-step explanation: opposite reciprocal

4 0

3 years ago