2 years ago

Why is - x < 3 equivalent to x > - 3? Provide a convincing argument.

1 answer:

8 0

Answer:

-x<3 is the same as x>-3 because when you divide -x<3 by -1 on both sides it ends up as x>-3. (They're the same thing just one isn't simplified.)

Step-by-step explanation:

You might be interested in

Kayla received a 25% discount on the purchase of a $170 bicycle. What was the amount of the discount that Kyle received?

galben [10]

Total price 127.50 the discount was 42.50

3 0

3 years ago

Hannah has 3 boxes of rice. One box contains 3 kilograms, the second box contains 150 grams, and the third box contains 500 gram

kaheart [24]

(3kg(1000g/kg)+150+500)/5=730g/bag

3 0

3 years ago

Read 2 more answers

Which function has a range of y < 3?<br> y=3(2)*<br> y=2(3)<br> y=-(2)*+ 3<br> O y=(2]*_3

jasenka [17]

Answer:

The function given by $y = - (2)^{x} + 3$ will have a range of y < 3.

Step-by-step explanation:

The function given by $y = - (2)^{x} + 3$ will have a range of y < 3.

This is because, for any real values of x, the term $- (2)^{x}$ will have a negative value. If we put x = 1, then, $- (2)^{x}$ = - 2, and for x = -1, then $- (2)^{x}$ = - 0.5.

That means $- (2)^{x} < 0$ for all real x.

Hence, $- (2)^{x} + 3$ < 0 + 3

⇒ y < 3 for all real x. (Answer)

7 0

3 years ago

A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.

Angelina_Jolie [31]

Answer:

Part 1) The lateral area is $LA=88\ units^2$

Part 2) The area of the two bases together is $2B=60\ units^2$

Part 3) The surface area is $SA=148\ units^2$

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

$LA=Ph$

where

P is the perimeter of the base

h is the height of the prism

$P=2(6+5)=22\ units$ ----> perimeter of rectangle

$h=4\ units$ ---> given

substitute

$LA=22(4)=88\ units^2$

Part 2) The area of the two bases together is?

The area of the rectangular base B is equal to

$B=(6)(5)=30\ units^2$

therefore

The area of the two bases together is

$2B=2(30)=60\ units^2$

Part 3) The total surface area is

we know that

The surface area is equal to

$SA=2B+LA$

substitute

$SA=60+88=148\ units^2$

4 0

3 years ago

Read 2 more answers

14.)A baseball team play 34 games in their season. If they won 55% of the

katrin2010 [14]

They won 18.7 or 19 games if rounded up

3 0

3 years ago