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3 years ago

If f(x) =4x-3 and g(x) =x+4, find (f-g)(x)

Mathematics

1 answer:

LekaFEV [45]3 years ago

4 0

Answer:

3x - 7

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 4x - 3 - (x + 4)

= 4x - 3 - x - 4 ← collect like terms

= 3x - 7

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

3 years ago

The volume of a cylinder is 980pi in ^3 The height of the cylinder is 20 in. What is the radius of the cylinder?

siniylev [52]

Answer:

The radius of the cylinder is 7 in

Step-by-step explanation:

To calculate the radius of a cylinder we have to use the following formula:

v = volume = 980π in³

h = height = 20in

π = pi

r = radius

v = (π * r²) * h

we replace with the known values

980π in³ = (π * (r)²) * 20in

980π in³ / 20in = π * (r)²

49 in² = (r)²

√(49 in²) = r

7 in = r

The radius of the cylinder is 7 in

7 0

3 years ago

What is five squared

prisoha [69]

Answer:

if you mean cubed its 125 but if you mean squared its 25

Step-by-step explanation:

6 0

3 years ago

18p ÷ q + 4 (r - 5) =

faust18 [17]

I think it will equal 1

8 0

3 years ago

A card is drawn from a pack of 52 cards. Find the probability of drawing an ace given that it is diamond.4/521/132/134/13

ICE Princess25 [194]

Solution:

The probability of an event is expressed as

$P(event)=\frac{number\text{ of desired outcome}}{number\text{ of possible outcome}}$

In a pack of 52 cards, we have

$\begin{gathered} number\text{ of diamonds=13} \\ number\text{ of ace= 1} \end{gathered}$

Thus, we have the probability to be evaluated as

$P(ace)=\frac{1}{13}$

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1 year ago