All categories

3 years ago

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

1 answer:

5 0

2(x - 1) > = -12
2x - 2 > = -12
2x > = -12 + 2
2x > = -10
x > = -10/2
x > = -5 or -5 < = x

wrong solution would be B. x less then or equal to -5....because x is greater then or equal to -5

You might be interested in

(X-3) (2x-3)= (x-3) (x+1) solve for x

yanalaym [24]

$(x - 3)(2x - 3) = (x - 3)(x + 1)$

Do the multiplication both sides,

$2 {x}^{2} - 9x + 9 = {x}^{2} - 2x - 3$

Arrange the terms to LHS according to their variables,

$2 {x}^{2} - {x}^{2} - 9x + 2x + 9 - 3 = 0 \\ {x}^{2} - 7x + 6 = 0$

Factorise this polynomial

${x}^{2} - 6x - 6x + 6 = 0 \\ x(x - 6) - (x - 6) = 0 \\ (x - 1)(x - 6) = 0$

So what we notice here is when you're multiplying two numbers you're getting 0 as answer.

So one of them must be 0.

If (x-1) is 0
then x = 1

similarly,

x-6=0

then, x= 6.

So the possible values of x are 1 and 6.

7 0

3 years ago

Read 2 more answers

Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756

horsena [70]

Answer:

Plane = 441 mi/h; wind = 63 mi/h

Step-by-step explanation:

distance = rate × time

Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

p - w = speed against wind

We have two conditions:

(1) 756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants (3) 756 = 2p - 2w

(4) 756 = 1.5p + 1.5 w

Multiply Equation (3) by 3 (5) 2268 = 6p - 6w

Multiply Equation (4) by 4 (6) 3024 = 6p + 6w

Add Equations (5) and (6) 5292 = 12p

Divide each side by 12 (7) p = 441 mi/h

Substitute (7) into Equation(3) 756 = 882 - 2w

Add 2w to each side 2w + 756 = 882

Subtract 756 from each side 2w = 126

Divide each side by 2 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2 (2) 756 = (441 + 63) × 1.5

756 = 378 × 2 756 = 504 × 1.5

756 = 756 756 = 756

8 0

3 years ago

ASAP PLEASE

MatroZZZ [7]

Answer:

I can't really see the whole question, but for a cone the volume formula is πr2h

Step-by-step explanation:

8 0

3 years ago

Simplify each expression

katrin2010 [14]

Answer:

${x}^{ \frac{1}{2} } \times {x}^{ \frac{2}{3} }$

${x}^{ \frac{3 + 4}{6} }$

${x}^{ \frac{7}{6} }$

6 0

3 years ago

Answer by today!!! x^2 + (2y) ÷ (2w) + 3z w = 2, x = 5, y = 8, z = 3

inysia [295]

Answer:

4.1

Step-by-step explanation:

5^2 + (2*8) / (2*2) + 3*3

25 + 16 / 4 + 6

41 / 10

4.1

3 0

2 years ago

Read 2 more answers