All categories

2 years ago

Solve the inequality 2 ( 4x + 1 ) < 3 ( 2x - 3 )

Mathematics

2 answers:

LenKa [72]2 years ago

3 0

Answer: x < -5 1/2 or x < -11/2

Step-by-step explanation:

2 ( 4x + 1 ) < 3 ( 2x - 3 )

8x + 2 < 6x - 9

8x - 6x < -9 -2

2x < -11

x < -11/2

x < -5 1/2

Gala2k [10]2 years ago

3 0

Process:

First, we are going to distribute in the parentheses.

2(4x+1) < 3(2x-3)

8x+2 < 6x-9

Now we are going to combine the like terms. (It is easier to move smaller terms to the bigger ones)

8x+2 < 6x-9

-6x+2 < -6x-9

= 2x+2 < -9

(There are more like terms!)

2x+2 < -9

2x+9 < +9

= 2x+11 < 0

2x+11 < 0

2x-11 < -11

= 2x < -11

Lastly, divide to get 'x' by itself

2x < -11

---- < ----

2 < 2

= x < -5.5

So, 'x' is less than -5.5.

Hope this helped:)

☆anvipatel77☆

•Expert•

Brainly Community Contributor.

You might be interested in

HHHHHEEEEEELLLLLPPPPP Parker drove a total distance of 4 and 1 over 2 miles during the months of June and July. If Parker only d

goldenfox [79]

Answer:

use cymath for answer

Step-by-step explanation:

it will explain better

8 0

3 years ago

Read 2 more answers

Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

3 0

3 years ago

Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o

ehidna [41]

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 - √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

6 0

3 years ago

What is the value of d to the nearest tenth

Gelneren [198K]

The answer is 72.1.you should dot infront sizes and then equals them

6 0

3 years ago

Please help thanks!

Kryger [21]

Answer:

All except irrational-

Step-by-step explanation:

100/100 is 1. This makes it real, an integer, whole,natural, and rational.

4 0

3 years ago