All categories

3 years ago

Solve 3(x - 2) < 18.

Mathematics

1 answer:

Artyom0805 [142]3 years ago

8 0

For this case we must resolve the following inequality:

$3 (x-2)$

We apply distributive property on the left side of inequality:

$3x-3 * 2$

We add 6 to both sides of the inequality:

$3x$

We divide between 3 on both sides of the inequality:

$x$

Thus, the solution is given by all the values of "x" less than 8.

ANswer:

Option A

You might be interested in

David bought 3 dvds and 4 books for $40 at a yard sale. Anna bought 1 dvd and 6 books for $18. How much did each dvd and book co

Ber [7]

Answer:

A book is worth $1 and a DVD is worth $12.

Step-by-step explanation:

The equations (2 unknowns and two equations, d is for a DVD and b is for a book):

For David: 3d+4b=40

For Anna: d+6b=18

Now multiply the second equation with -3 and add to the first equation:

3d+4b=40

−3d−18b=−54

Combined equation: −14b=−14 and b=1 (means that each book is worth $1).

Now for DVD price, use the second equation:

d=18−6 or d=12 (means that each DVD is worth $12).

A book is worth $1 and a DVD is worth $12.

8 0

3 years ago

Calculate the difference between the two times.<br> 8: 15 am. or pm <br><br> 3: 30 am or pm.

Vlad1618 [11]

Answer:

5:15 pm is the answer for the question

8 0

3 years ago

Laura’s printer takes 5 minutes to print 85 pages.

evablogger [386]

Answer:

17.

Step-by-step explanation:

<u>Divide 85 by 5 to find the unit rate:</u>

<u /> $\frac{85}{5} =17$

17 represents the amount of pages printed for 1 minute.

5 0

2 years ago

Read 2 more answers

PLEASE HELP DONT JUST GUESS JUST TO GET POINTS LOL Plot any four points on the coordinate plane and connect them to form a quadr

sveticcg [70]

The quadrilateral formed by this process will always be a parallelogram

<h3>Quadrilaterals</h3>

A quadrilateral is simply any polygon that has four sides and four corners.

Common examples are:

Square
Rectangle
Rhombus
Kite
Trapezoid
Rhombus
Parallelogram

<h3>Figure 1</h3>

A square is drawn at the coordinates:

(0,0), (6,0), (0,6) and (6,6)

The midpoints of the square sides are at the following coordinates:

(0,3), (3,6), (6,3) and (3,0)

When the points of the midpoints are joined together, they form a parallelogram

<h3>Figure 2</h3>

A trapezoid is drawn at the coordinates:

(0,0), (2,6), (8,6) and (10,0)

The midpoints of the square sides are at the following coordinates:

(5,0), (5,6), (1,3) and (9,3)

When the points of the midpoints are joined together, they form a parallelogram

Hence, the quadrilateral formed by this process will always be a parallelogram

Read more about quadrilaterals and parallelograms at:

brainly.com/question/1190071

5 0

2 years ago

Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and

pochemuha

Answer:

y = 2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

f(x) = A*(x - 4)*(x + 3)

Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

-12/-6 = A

2 = A

Then the equation is:

y = f(x) = 2*(x - 4)*(x + 3)

Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

y = f(x) = 2*x^2 - 2*x - 24

Then the relation is:

y = 2*x^2 - 2*x - 24

4 0

3 years ago