All categories

3 years ago

4x ≤12 dimplify solve for x

Mathematics

2 answers:

juin [17]3 years ago

8 0

Answer:

$\boxed{x\leq 3}$

Step-by-step explanation:

$4x \leq 12$

$\sf Divide \ both \ parts \ by \ 4.$

$\displaystyle \frac{4x}{4} \leq \frac{12}{4}$

$x\leq 3$

EastWind [94]3 years ago

7 0

Answer:

x<3

Step-by-step explanation:

You might be interested in

What is the solution of log(3x − 2)125 = 3?

Reil [10]

$log_{3x - 2}125 = 3 \\ (3x - 2)^3 = 125 \\ \sqrt[3]{(3x - 2)^3} = \sqrt[3]{125} \\ 3x - 2 = 5 \\ 3x = 5 + 2 \\ 3x = 7 \\ x = 7/3$

8 0

3 years ago

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

Aleksandr [31]

Answer:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =60$

$\sum_{i=1}^n y_i =553$

$\sum_{i=1}^n x^2_i =582$

$\sum_{i=1}^n y^2_i =39653$

$\sum_{i=1}^n x_i y_i =4329$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91$

So the line would be given by:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

4 0

3 years ago

Ice Cream: A certain ice cream parlor offers 15 flavors of ice cream. you want an ice cream cone with three scoops of ice cream,

Olenka [21]

Answer:45?

Step-by-step explanation:

8 0

3 years ago

Could I have gotten this right or is this wrong

insens350 [35]

You are very correct

5 0

3 years ago

A recipe for sugar cookies calls for 2 1/2 cups of sugar. Carl wants to make 1/4 of the recipe. How much will he use?

Georgia [21]

Answer:

3 and 1/3

Step-by-step explanation:

48 * (2 and 1/2)/ 36

48 * (5/2) / 36

120/36

60/18

30/9

10/3

6 0

3 years ago