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2 years ago

Write the function rule in function notation for three times a number plus 10.

Mathematics

1 answer:

Tpy6a [65]2 years ago

8 0

Answer:

f(x) 3x 10

Step-by-step explanation:

x = the number

the function = Three time a number plus 10.

f(x) = 3x + 10

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What is the value of x, when 5+x+(−2)=−8?

nasty-shy [4]

5+x+(−2)=−8
5 + x - 2 = -8
x + 3 = -8
x = -11

3 0

3 years ago

Read 2 more answers

Please help ASAP!!!!!!!!!!!

Effectus [21]

Answer:

x = 3.76 ft

Step-by-step explanation:

To find the missing side, "x", solve using proportions.

In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the scale factor, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).

Therefore, if you divided the pairs of corresponding sides, they would be equal.

From the diagram, you can tell that the following sides correspond:

CB ~ GF

AB ~ EF

Use the proportion

$\frac{EF}{AB} = \frac{GF}{CB}$

$\frac{x}{6ft} = \frac{3.3ft}{5ft}$ Substitute values from diagram

$6ft*\frac{x}{6ft} = 6ft*\frac{3.3ft}{5ft}$ Multiply both sides by 6 ft

$x = \frac{6ft*3.3ft}{5ft}$ "x" is isolated. Multiply fraction by combining into numerator

$x = \frac{19.8ft}{5ft}$ Solved numerator. Divide for decimal answer.

$x = 3.76ft$

The value of 'x' is 3.76 ft.

4 0

2 years ago

Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

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3 years ago

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Viktor [21]

Answer:

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Step-by-step explanation:

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