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Liono4ka [1.6K]

3 years ago

6

Which is the definition of x-intercept? the value where the line crosses the x-axis the value where the line crosses the y-axis

1 answer:

Naily [24]3 years ago

5 0

The answer is the value where the line crosses the x-axis.
or simply you can put y= 0 to find x-intercept. or if you want to find y-intercept put x=0 to find its intercepts

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Gordon types 43 3/4 pages in 3 1/2 hours. What is his rate in pages per hour

Olegator [25]

Answer:

His rate is 12 1/2 pages per hour.

Step-by-step explanation:

Given that,

Gordon types 43 3/4 pages in 3 1/2 hours or Gordon types 175/4 pages in 7/2 hours./ We need to find its rate in pages per hour. So,

$R=\dfrac{\dfrac{175}{4}\ \text{pages}}{\dfrac{7}{2}\ \text{hour}}\\\\R=\dfrac{175}{4}\times \dfrac{2}{7}\\\\R=12.5\ \text{pages per hour}\\\\R=12\dfrac{1}{2}\ \text{pages per hour}$

Hence, his rate is 12 1/2 pages per hour.

8 0

3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

ludmilkaskok [199]

Answer:

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

Step-by-step explanation:

Given:

$y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}$

using the properties of log we can take the power 1/2 and multiply it.

$y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)$

now we can differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)$

$\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)$

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

this is our answer!

8 0

3 years ago

a cone with a radius 3 units is shown below. it’s volume is 57 cubic units. find the height of the cone

ipn [44]

<u>Given</u>:

Given that the radius of the cone is 3 units.

The volume of the cone is 57 cubic units.

We need to determine the height of the cone.

<u>Height of the cone:</u>

The height of the cone can be determined using the formula,

$V=\frac{1}{3} \pi r^2 h$

Substituting the values, r = 3 and V = 57, we get;

$57=\frac{1}{3} (3.14) (3)^2 h$

Simplifying the terms, we get;

$57=\frac{1}{3} (3.14) (9) h$

Multiplying both sides of the equation by 3, we get;

$171= (3.14) (9) h$

$171=28.26 h$

Dividing both sides of the equation by 28.26, we get;

$6.05=h$

Thus, the height of the cone is 6.05 units.

8 0

3 years ago

What are the lowest comon multiples of the following? ( significant figures is not required for these answers)

Alinara [238K]

A) 34
B) 35
C) 36
D)72f

5 0

3 years ago

Use the distributive property to remove the parenthesis <br><br> (x+7)8

dimaraw [331]

8x+56

8(x)+8(7)= 8x+56

5 0

2 years ago

Read 2 more answers