All categories

3 years ago

Solver the inequality -8<2x-4<4

Mathematics

1 answer:

abruzzese [7]3 years ago

4 0

Answer:

-2 < x < 4

Step-by-step explanation:

This inequality has 3 sides.

Lets ADD 4 to all sides:

-8 < 2x - 4 < 4

+4 +4 +4

-4 < 2x < 8

Now we divide all sides by 2, to get:

-4 < 2x < 8

-4/2 < 2x/2 < 8/2

-2 < x < 4

The inequality is solved. To the value of x ranges from x = -2 to x = 4. This is the answer.

You might be interested in

Parallelogram ABCD is dilated to form parallelogram WXYZ. What corresponding side is proportional to segment AD? Type the answer

Reika [66]

Answer: WZ

The sequence ABCD has AD as the first and last letters of that sequence, so this pattern applies to WXYZ as well to pull out WZ. Angle A pairs up with angle W because they are both the first letters of the sequences. These angles are congruent from the fact that the parallelograms are similar. The same can be said for angle D and angle Z.

note: WZ is the same as ZW. The order doesn't matter when it comes to labeling segments based on endpoints.

6 0

3 years ago

3 is subtracted from the square of a number.

frozen [14]

Answer:

$x^{2}$ -3

Step-by-step explanation:

Three subtracted by a square of a number. So, let's say the number is x. The square of it is $x^{2}$ . So $x^{2}$ -3 is three subtracted by a square of a number.

7 0

3 years ago

The point slope form of the equation of the line that passes through (-5,-1) and (10,-7) is y+7=-2/5(x-10). what is the standard

KIM [24]

Option C

The standard form of the equation for y + 7 = -2/5(x - 10) is 2x + 5y = -15.

<u>Solution:</u>

Need to determine standard form of equation of line passing through points (-5, -1) and (10, -7) and having slope form as $y+7=-\frac{2}{5}(x-10)$

Standard form of equation of line is such that terms having variables are on left hand side and constant terms on right hand side.

So let’s simplify given slope form.

$y+7=-\frac{2}{5}(x-10)$

On opening the brackets we get

$y+7=\frac{-2 x+20}{5}$

=> 5(y + 7) = -2x +20

=> 5y + 2x = 20 – 35

=> 2x +5y = -15

Hence the standard form is 2x + 5y = -15.

8 0

4 years ago

PLEASE HELP ME ASAP!!

s2008m [1.1K]

#1. Answer will be D: 36cm^3
#2. Answer will be A: they have equal volumes.

Couldn't really help with the last one, apologies.
Hope this helped you so far.

8 0

3 years ago

Factor out the common factor in -45 + 81n + 90n^2

IRISSAK [1]

A: I think it’s 9(−5+9n+10n2)

Step-by-step explanation:

6 0

3 years ago