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tatuchka [14]
3 years ago
5

The answers to this question

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0
A) f(x) = x - 4 , g(x) = x + 4 
⇒ f( g(x) ) = x + 4 - 4 = x
    g( f(x) ) = x - 4 + 4 = x
⇒ f and g are not inverses of each other
b) f(x) = -1/(3x) , x ≠ 0 ; g(x) = 1/(3x) , x ≠ 0
⇒ f( g(x) ) = -1/( 3*(1/(3x)) ) = -1/(1/x) = -x
    g (f(x) ) = 1/( 3*(-1/(3x)) ) = 1/( -1/x) = -x
 ⇒ f and g <span>are not inverses of each other</span>
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gwen and her brother max had 5 one-dollar bills 6 quarters and 8 dime what is the total of money had gwen and her brother earned
mr Goodwill [35]
7 dollars and 30 cents becuse 4 wuarters equals 1 dollar plus the 5 other equals 6 dollars and then you have 2 quarters left which equals 6 dollars and 50 cents plus the 8 dimes/80 cents and 6 dollars and 50 cents plus 80 cents equals 7 dollars and 30 cents
4 0
3 years ago
The length of a rectangular garden is 8 feet longer than the width. The garden is surrounded by a 4-foot sidewalk. The sidewalk
ladessa [460]
1. The information given in the problem is:

 - <span>The length of a rectangular garden is 8 feet longer than the width.
 - </span><span>The garden is surrounded by a 4-foot sidewalk.
 - The area of the sidewalk is 320 ft</span>².

 2. So, the length of the rectangular garden is:

 L1=8+W1

 3. The formula for calculate the area of the sidewalk, is:

 A2=L2xW2

 "A2" is the area of the sidewalk (A2=320 ft²).

 "L2" is the length of the sidewalk.

 "W2" is the widht of the sidewalk.

 4. The length of the sidewalk (L2) is:

 L2=L1+4+4    (4 feet on each side)
 L2=L1+8

 5. When you substitute L1=8+W1 into the equation L2=L1+8, you obtain:

 L2=8+W1+8
 L2=W1+16

 6. The widht of the sidewalk is:

 W2=W1+4+4
 W2=W1+8

 7. Now, you must substitute the length and the widht of the sidewalk into the formula A2=L2xW2:

 A2=L2xW2
 A2=(W1+16)(W1+8)
 320=W1²+16W1+8W1+128
 W1²+16W1+8W1+128-320=0
 W1²+16W1+8W1-192=0

 8. When you solve the quadratic equation, you obtain the value of W1:

 W1=16.97 ft

 9. Finally, you must substitute the value of W1 into the formula L1=8+W1:

 L1=8+W1
 L1=8+16.97 
 L1=24.97 ft

 10. Therefore, the dimensions of the garden are:

 L1=24.97 ft
 W1=16.97 ft
5 0
4 years ago
In the problems below, f(x) = log₂x and
kramer

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)

3 0
3 years ago
Dot plot help?<br> i need help dot plotting
Svetlanka [38]
I got you drop the promblem
3 0
4 years ago
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 2 more than 5 times the number o
ch4aika [34]

Mark and Don have 18  and 92 marbles respectively.

<h3>What is the solution of the equation?</h3>

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

Let the number of marbles Mark has be x.

According to the question,

Don has (5x+2) marbles.

Total number of marbles=110

Thus, the required equation is:

x+5x+2=110

6x=108

x=108/6

x=18

Mark has 18 marbles.

Don has (5*18+2)=92 marbles.

Learn more about equation here:

brainly.com/question/2972832

#SPJ4

4 0
2 years ago
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