According to exponent rules, when we divide the expressions we<br> exponents.

Select the expression that represents the simplified difference.

Setler79 [48]

The simplified expression for the given function is 2x + 4 - ( 1 / x-1). The correct option is A.

<h3>What is an expression?</h3>

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the functions are f(x) = x + 2 and h(x) = 1 / x-1. The value of the function 2f(x) – h(x) will be calculated as,

E = 2f(x) – h(x)

E = 2( x + 2 ) - ( 1 / x-1)

E = 2x + 4 - (1/x-1)

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8 0

1 year ago

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Kwans The Kenningy account balance was $20 his ending balance is zero dollars what integer represents the changing in his accoun

77julia77 [94]

The integer number that represents the changing in his account balance from beginning to end is of -20.

<h3>Which numbers belong to the set of integer numbers?</h3>

Non-decimal numbers, either positive or negative numbers, also zero, belong to the set, which can be represented by:

Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}

A change can be represented by the <u>final value subtracted by the initial value</u>. For this problem, we have that:

The initial balance is of $20.

The final balance is of $0.

Hence the change in the balance is:

0 - 20 = -20.

And the integer is -20.

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6 0

1 year ago

Each of the 25 balls in a certain box is either red, blue, or white and has a number from 1 to 10 painted on it. If one ball is

LekaFEV [45]

Answer: Insufficient Information

The probability of selecting a red ball, a blue ball or a white ball is unknown.

Step-by-step explanation:

The probability of selecting a red ball, a blue ball or a white ball is unknown.

There could be 13 red balls, 1 blue ball and 11 white balls in the bag. There could be 3 red balls, 2 blue balls and 20 white balls in the bag. It is impossible to say with the information given have even numbers on them. The same thing applies to the number of balls with numbers or even numbers on them. The question does not specify how many white balls have each number on them.

8 0

3 years ago

Solve the equation:<br> 5|2x-7|=20

MA_775_DIABLO [31]

Answer:

x = $\frac{11}{2}$ , $\frac{3}{2}$

Step-by-step explanation:

First, isolate the absolute value:

5|2x - 7| = 20

divide both sides by 5:

|2x - 7| = 4

break into 2 equations:

2x - 7 = 4, 2x - 7 = -4

solve both equations and collect solutions:

2x = 11, 2x = 3

x = $\frac{11}{2}$ , $\frac{3}{2}$

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3 years ago

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Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (

Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

(b) 69 gms

(c) 209 gms

Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138 (1)

The second equation in the unknowns is

3B + 5N = 71 (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===> 40B + 30N = 690 (3)

Multiplying (2) by 6 ===> 18B + 30N = 426 (4)

(3) - (4) eliminates the N variables and yields

22B = 264 ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==> 36 + 5N = 71 ==> 5N = 71-36 = 35 ==> N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
However, an alternate way is to perceive that 4B + 3N is exactly half of 8B + 6N so the value of that must be 138/2 = 69

(c) If we add both equations (1) and (2), we get

11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

5 0

1 year ago

According to exponent rules, when we divide the expressions we exponents.