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2 years ago

Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.

1 answer:

3 0

We have that

<span>f(x) = 3x + 2
</span><span>g(x) = x - 3

[</span>g(x) - f(x)]=(x-3)-(3x+2)--------> (x-3-3x-2)-----> -2x-5

the domain is all real numbers

the answer is
<span>–2x – 5; all real numbers</span>

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The area of a circle is 616cm find the radius

Leokris [45]

<h3>Given :-</h3>

Area of Circle = 616 cm²

Radius of a circle = ?

<h3>Solution :-</h3>

☼︎ <u>Radius of the Circle</u>;

<h3>Using Formula:</h3>

$\\ \red\bigstar {\underline{\boxed{\color{springgreen}{\textsf{ \textbf{ \: Area \: of \: circle= \: \: π \: r \: ² \: }}}}}} \\\\$

<u>Putting values in the formula;</u>

$\\ \sf \implies \: Area \: = \: \pi \: r \: ^{2} \\$

$\\ \sf \implies \: 616 \: = \:\frac{22}{7} \times \: r \: ^{2} \\$

$\\ \sf \implies \: 616 \: \times \: \frac{7}{22} \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \frac{ \: \: 4312 \: \: }{22} \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \cancel{\frac{ \: \: 4312 \: \: }{22} }\: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \: 196 \: \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \:r \: ^{2} = \: 196 \: \: \: \: \\$

$\\ \sf \implies \: \:r \: = \sqrt{ \: 196 \: } \\$

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henceforth, the Radius of a circle is 14 cm ...!!

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1 year ago

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ANTONII [103]

The greatest possible number of club members is 7

<em><u>Solution:</u></em>

Given that, local readers’ club has a set of 49 hardback books and a set of 21 paperbacks

Each set can be divided equally among the club members

To find the greatest possible number of club members, we have to find the greatest common factor of 49 and 21

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 49 and 21:</u></em>

The factors of 21 are: 1, 3, 7, 21

The factors of 49 are: 1, 7, 49

Then the greatest common factor is 7

Thus, the greatest possible number of club members is 7

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2 years ago

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ipn [44]

It seems like you have the answer already. but heres how its calculated.
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$\frac{160}{100} = \frac{80}{?}$
so the missing number is 50
**cross multiply 100 and 80 to get 8000 then divide 160<span> into 8000 to get 50**</span>

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3 years ago

What type of angles are ECH and FCG?

Darina [25.2K]

ECH is an acute angle.

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3 years ago

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I don’t know how to do any of this

mojhsa [17]

Answer:

The length of x in #1 is 15.57

Step-by-step explanation:

Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.

Sinα = Opp/Hyp

Tanα = Opp/Adj

Cosα = Adj/Hyp

As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.

Tanα = Opp/Adj -----> Plug in known values

Tan(60) = x/9 ----->Calculate out the trig function

1.73 = x/9 -----> Multiply by the denominator to solve

15.57 = x

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2 years ago

﻿Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.

Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.