All categories

3 years ago

Solve for x: 5x + one third(3x + 6) > 14

Mathematics

2 answers:

alekssr [168]3 years ago

5 0

Answer:

The correct option is B) x > 2.

Step-by-step explanation:

Consider the provided inequality.

$5x+\frac{1}{3}(3x+6)>14$

Distributive property:

$a(b+c)=ab+ac$

By the distributive property.

$5x+\frac{1}{3}\times 3x+\frac{1}{3}\times 6>14\\5x+x+2>14$

Add the like terms

$6x+2>14$

Subtract 2 from both sides.

$6x+2-2>14-2\\6x>12$

Divide both sides by 6.

$\frac{6x}{6}>\frac{12}{6}\\x>2$

Hence, the correct option is B) x > 2.

MA_775_DIABLO [31]3 years ago

4 0

Answer:

It should be x > 2

Step-by-step explanation:

You might be interested in

What is the square root of 24.

Tpy6a [65]

Answer:4.898979486

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

6. Line a: y - 3x = 4<br> Line b: y = 3x + 5<br> Line c: y - 4x = 3<br><br> Which lines are parallel

kramer

Answer:

Line a and b

Step-by-step explanation:

6 0

2 years ago

A=bx+cx+d solve for x

BigorU [14]

(a/bc) - d = x is the answer

8 0

3 years ago

Read 2 more answers

A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$