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2 years ago

Write the equation of the line in point slope form. (10 Points)

Mathematics

1 answer:

Katena32 [7]2 years ago

8 0

Answer:

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

Step-by-step explanation:

work is in the picture

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For f (x) = 3x+1 and g(x) = x? -6,find (7.8)(x).

Vitek1552 [10]

I believe the answer is C

5 0

2 years ago

Simplify each expression using the distributive property <br><br>9(-7q-6)

hammer [34]

Answer:

-63q-54

Step-by-step explanation:

When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.

9(-7q-6)

-63q-54

Hope this helps, and have a great day o(*￣▽￣*)ブ

5 0

2 years ago

Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

5 0

3 years ago

I don’t know..........

SOVA2 [1]

Answer:

$\frac{3}{2 }$

5 0

3 years ago

Read 2 more answers

A water tank in the shape of a rectangular prism has a length of 525 feet, width of 423 feet, and height of 449 feet.

TEA [102]

Answer:

84 cubic feet

Step-by-step explanation:

First, multiply the numbers to get the volume.

5 2/5 * 4 2/3= 25 1/5

25 1/5 * 4 4/9= 112

Then, we can find 3/4 of that.

112*3/4=84.

6 0

3 years ago

Read 2 more answers