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dusya [7]
3 years ago
8

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

Mathematics
1 answer:
jeka943 years ago
5 0
Well, we need to solve the inequality in terms of x...

-3(6-2x)≥4x+12  carry out indicated multiplication on left side

-18+6x≥4x+12  subtract 4x from both sides

-18+2x≥12  add 18 to both sides

2x≥30  divide both sides by 2

x≥15, in interval notation:

x=[15, +oo)
You might be interested in
Simplify the following expression:<br> 4x - 3y + 2z - 3x - y + 3z = ?
nordsb [41]
Add all the like terms together so 4x-3x is x or 1x -3y-y is -4y 2z+3z is 5z so put them all together it's x-4y+5z
7 0
3 years ago
answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.
Lyrx [107]
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.

Examples:

1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.

2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.

3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.

4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)

Now for your problems.

10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.

13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.

The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.

[0, ∞)

Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
8 0
3 years ago
1/6m=5/8<br> i can't slove this question<br> 8th Grade Math
murzikaleks [220]

we are given

\frac{1}{6} m=\frac{5}{8}

Since, we have to solve for m

so, we will try to isolate m on anyone side

so, firstly , we will get rid of 1/6

so, we can multiply both sides by 6

6*\frac{1}{6} m=6*\frac{5}{8}

m=6*\frac{5}{8}

now, we can simplify right side

m=3*\frac{5}{4}

now, we can multiply them

and we get

m=\frac{15}{4}...........Answer

4 0
3 years ago
Read 2 more answers
Help me with this pls​
Akimi4 [234]

Answer:

is that math????????????????

3 0
2 years ago
the perimeter of a rectangle is 70m. What are the dimensions that will produce the maximum area of such a rectangle
rusak2 [61]

Answer:

17.5, divide 70 by 4

Step-by-step explanation:

what i said above

3 0
3 years ago
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