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3 years ago

7

How do you graph the equation f(x)=10x+40??

1 answer:

irga5000 [103]3 years ago

8 0

Ok so linear equations come in the form
y = mx + b

B is the y-intercept. In this equation the y intercept is 40. A y- intercept is where the graph crosses the y axis so at the point (0,40) the graph crosses the y axis.

M is the slope which is rise over run so if the slope was 10 (which it is) 10 is equivalent to 10/1 so you move up 10 units for every 1 unit you move across.

So to graph this equation, you would draw your first point at (0,40). For your next point, you would move right one unit, and up 10 units. Draw a point there which would be (1, 50). Hopefully you understand. For going left from the y intercept point, you would move left 1 and down 10.

Actual graph above.

Hope this helps C:

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12 spheres of the same size are made from melting a solid cylinder of 1 cm diameter and 2 cm height. Find the diameter of each s

mars1129 [50]

The answer is: The diameter is 4 centimeters.

The explanation is shown below:

1. The volume of the cylinder is:

$Vc=r^{2}h \pi$

Where $r$ is the radius ( $r=\frac{16cm}{2}=8cm$ ) and $h$ is the height ( $h=2cm$ ).

Then:

$Vc=(8cm)^{2}}(2cm)\pi\\Vc=128\pi$

2. The total volume of the 12 spheres is:

$Vs=12(\frac{4}{3}r^{3}\pi)\\Vs=16r^{3}\pi$

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

$Vc=Vs\\128\pi=16r^{3}\pi$

4. Now, you must solve for the radius:

$r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm$

5. The diameter is:

$d=2r\\d=2(2cm)\\d=4cm$

5 0

3 years ago

-v + 5 + 6v = 1 + 5v + 3

Dima020 [189]

Answer:

v does not exist

Step-by-step explanation:

5v+5=4+5v

there is no v

5 0

3 years ago

HELP QUICK PLEASE!! WILL GIVE BRAINLIEST ANSWER

Alex

F(12)=-34(12)+2
f(12)=-408+2
f(12)=-406

7 0

3 years ago

A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33

sattari [20]

It would now cost $11. 45% of 20 is 9, therefore, you would subtract 9 from 20 (since it is getting marked down).

6 0

3 years ago

Read 2 more answers

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded

Whitepunk [10]

Answer:

<h3>The answer is 17.5 units</h3>

Step-by-step explanation:

Using the distance formula

<h3> $d = \sqrt{ ({x2 - x1})^{2} + ({y2 - y1})^{2} }$ </h3>

the distance between (-10, 12) and (5, 3) is

<h3> $d = \sqrt{ ({5 + 10})^{2} + ({3 - 12})^{2} }$ </h3><h3> $d = \sqrt{ {15}^{2} + ( { - 9})^{2} }$ </h3><h3> $d = \sqrt{225 + 81}$ </h3><h3> $d = \sqrt{306}$ </h3><h3> $d = 3 \sqrt{34}$ </h3>

d = 17.492855

We have the final answer as

<h3>d = 17.5 units to the nearest tenth</h3>

Hope this helps you

4 0

3 years ago

Read 2 more answers