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alexgriva [62]
3 years ago
13

Is the inequality always, sometimes or never true?

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0
In order to understand if the inequalities are always, never or sometimes true, you need to perform the calculations:

A) <span>9(x+2) > 9(x-3)
9x + 18 > 9x - 27
the two 9x cancel out and you get:
+18 > -27
which is always true.

B) <span>6x-13 < 6(x-2)
6x - 13 < 6x - 12</span> 
</span><span>the two 6x cancel out and you get:
- 13 < -12
which is always true

C) </span><span>-6(2x-10) + 12x ≤ 180
-12x +60 +12x </span>≤ 180
-12x and +<span>12x cancel out and you get:
60 </span><span>≤ 180
which is always true.

All three cases are always true.</span>
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A piece of string is 42 meters long. It is cut into three pieces so that one piece is 15 meters longer than the other two, which
Semmy [17]
To start this problem, we know that one of the three pieces that the string is cut into is 15 meters longer than the others. Subtract 15 from 42 to get 27.
Then, from there, you can cut that number (<em>divide</em>) by three to get the length of the two shorter strings. Simply add the 15 meters you didn't use yet to one of the pieces to find the longer string, and you have your lengths.

Hope this helps!
-refrac532
4 0
3 years ago
Please answer with explanation, I don't understand.<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-14x%2B49%7D%20%3Dx
Crank

Answer: x ≥ 7

Step-by-step explanation:

You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7

6 0
3 years ago
If five friends want to share 1.25 of a pizza evenly how much pizza would each person get
Amanda [17]

1.25 /5

12/5 = 2  with 2 left over

25/5 = 5

2 numbers

1.25 /5 = .25

Each person gets .25 of a pizza

4 0
3 years ago
Read 2 more answers
Digger the Dog Logan's dog, Digger, was constantly digging his way under the fence, escaping from the back yard, and following L
Lelechka [254]

Answer:

Is there a picture attached to this or how big the whole yard is?

Step-by-step explanation:

3 0
3 years ago
Which of these are mathematical laws that help us solve numerical problems? decimals graphs formulas percentages fractions
ladessa [460]
Formulas are mathematical laws that help us solve problems.

Decimals are a type of number; graphs are displays of data; percentages are comparisons of a number to 100; and fractions are a type of number.
6 0
3 years ago
Read 2 more answers
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