Which equation represents a linear function?

Equation 1: y3 = 2x + 1
Equation 2: y = 3x + 1
Equation 3: y = 5x2 − 1
Equation 4: y = 4x4 − 1

a Equation 1
b Equation 2
c Equation 3
d Equation 4

the regular price of the sofa is $684.61.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, A sofa is on sale for $442, which is 35% less than the regular price.

Thus,

65% of the regular price  = 442

The regular price = 445*100/65

Thus, Regular price =  $684.61

Therefore, the regular price of the sofa is $684.61.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ1

Answer:

The product of 10 and the difference of 76 and 14 is 90

Step-by-step explanation:

90 - 14 = 76

76 + 14 = 90

90 - 10 = 80

I really tried to understand and came to this conclusion but I hope it helps I guess!

Answer: 20 hg

Step-by-step explanation:

Given: Alonzo's suitcase can weigh no more than 20 kilograms if he wants to take it on the airplane without paying a fee.

Let x denote the weight of suitcase, then

[tex]x\leq20kg[/tex]

We know that 1 kg =10 hg

Therefore, 20kg=[tex]20\times10=200hg[/tex]

⇒ [tex]x\leq200hg[/tex]

Since, the weight of his suitcase is 220 hg.

The amount of weight will Alanzo have to take out of his suitcase to meet the weight limit will be :-

[tex]D=220-200=20[/tex]

Hence, 20 hg of weight have to take out of his suitcase to meet the weight limit.

In the given equation y=4x+1, the independent variable is x, and the dependent variable is y. The independent variable is the cause, and the dependent variable is the effect. Therefore, any change in x will result in a change in y.

In the given equation y=4x+1, the independent variable is x and the dependent variable is y. This is because the value of x is not dependent on any other variable, while the value of y depends on x. The variable y is dependent because it changes in response to the value of x.

Conceptually, the independent variable is what you have control over or manipulate, and the dependent variable is what you observe or measure. For example, in the equation y = a + bx, a is the y-intercept, b is the slope, x is the independent variable, while y is the dependent variable that changes according to the value of x.

Simply put, the independent variable is the cause, and the dependent variable is the effect. In the context of this equation, any change in x (independent variable) will cause a change in y (dependent variable).

https://brainly.com/question/33409105

#SPJ12

Answer:

He need to sell atleast 10 car to make atleast $2000.

Step-by-step explanation:

Given : Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000.

To find :  How many cars does he need to sell, Write an equation and solve.

Solution : He makes a salary = $500 per week .

     He gets for every car sell =  $ 150.

Let us consider the number of cars he need to sell = x.

Total cost for x car = $150 * x.

According to question  he wants to make atleast = $2000.

We will use" greater than or equal to "sign for atleast then equation become:

150x + 500 [tex]\geq[/tex] 2000.

Now, we need to solve the inequality for x :

On subtracting by 500 both sides

150x  [tex]\geq[/tex] 2000 -500.

150x  [tex]\geq[/tex] 1500.

On dividing by 150 both sides ,

x  [tex]\geq[/tex] 10.

Therefore, he need to sell atleast 10 car to make atleast $2000.

Answer:

Greater than

Step-by-step explanation:

The function y=2x+5 is written in slope-intercept form, y=mx+b, where m is the slope (rate of change) and b is the y-intercept.  The slope in this function is 2.

The slope of the function in the table is given by the formula for slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the first two points, we have

m = (3-0)/(2--1) = 3/3 = 1

The rate of change is 1.  This is less than the first function, which means the rate of change of the function y=2x+5 is greater than the slope in the table.

The rate of change of  y=2x+5 is 2 which is greater than the rate of change in the table which is 1.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

As per the given function,

y = 2x + 5

The slope-intercept form is given as, y = mx + c here m is the slope.

By comparing, slope = 2

As per the given table,

Slope = (difference in y's coordinate)/(difference in x's coordinate)

Slope = (3 - 0)/(2 - (-1)) = 3/3 = 1

Thus, slope of function is greater then the table.

Hence "Y=2x+5's rate of change is 2, which is higher than the table's rate of change of 1".

To learn more about the rate of change here,

brainly.com/question/12786410

#SPJ2

The length of one side of the square rug is found by taking the square root of the area of the rug, which is 80 square feet. The best approximation for this is 8.9 feet.

This problem is about understanding the relationship between the area and the length of a side in a square. In a square, all sides are equal in length, and the area of a square is given by the equation Area = side*side. So, if the area is given, we can find the length of a side by taking the square root of the area.

Here, since the area of the square rug is 80 square ft., we find the length of one side by calculating the square root of 80. The square root of 80 is approximately 8.9ft

So, looking at the options given, the best approximation for the length of one side of the rug is option C) 8.9ft.

https://brainly.com/question/33930998

#SPJ2

Bayley can hit a single golf ball every 5 minutes

Now Bayley can hit 42 golf balls in 3 1/2 hours

Thus converting the 3 1/2 hours in minutes:

3 hours +  1/2 hours = 180 minutes + 30 minutes = 210 minutes

Bayley can hit 42 golf balls in 210 minutes

Thus let's say she takes 'x' minutes to hit one ball

Calculating the value of 'x'  using direct proportion theorem:

[tex]\frac{x}{210}=\frac{1}{42}[/tex]

[tex]x*42 = 210[/tex]

[tex]x= \frac{210}{42}[/tex]

[tex]x = 5[/tex]

Thus Bayley can hit 5 golf balls every 1 minute

Answer: a) Fraction of the total sales did each salesperson sell:-

[tex]\text{Lola}=\frac{203}{537}[/tex]

[tex]\text{Ahmed}=\frac{154}{537}[/tex]

[tex]\text{Tommy}=\frac{180}{537}[/tex]

b) Each person receive=$33

Step-by-step explanation:

Given: The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy.

Sales by Lola= $2030

Sales by Ahmed=$1540

Sales by Tommy=$1800

Thus, the total sales= $2030+$1540+$1800=$5370

Fraction of the total sales did each salesperson sell:-

[tex]\text{Lola}=\frac{\text{Sales by Lola}}{\text{total sales}}=\frac{2030}{5370}=\frac{203}{537}[/tex]

[tex]\text{Ahmed}=\frac{\text{Sales by Ahmed}}{\text{total sales}}=\frac{1540}{5370}=\frac{154}{537}[/tex]

[tex]\text{Tommy}=\frac{\text{Sales by Tommy}}{\text{total sales}}=\frac{1800}{5370}=\frac{180}{537}[/tex]

If $100 bonus was awarded to the three salespeople, then

Each person receive=[tex]\frac{\$100}{3}=33.33\approx\$33[/tex]

Answer:  -9

Step-by-step explanation: Distribute: 2x - 6 + 1= 3x + 4. Combine like terms on the left side: 2x - 5 = 3x + 4. Subtract 2x from both sides: -5 = x + 4. Subtract 4 from both sides: x = -9.