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Tpy6a [65]
3 years ago
13

What is the solution to this inequality: -4(3x-5)<2(3x+4)​

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

x > 2/3

Step-by-step explanation:

-4(3x - 5) < 2(3x + 4)​

Divide both sides by 2.

-2(3x - 5) < 3x + 4

Distribute on the left side.

-6x + 10 < 3x + 4

Subtract 3x from both sides.

-9x + 10 < 4

Subtract 10 from both sides.

-9x < - 6

Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.

x > (-6)/(-9)

x > 6/9

x > 2/3

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Simplify 2(x - 3) + 7(x + 2).<br><br> 9x - 8<br> 9x + 3<br> 9x + 8
Aleks04 [339]
The answer is 9x+8. if you distripute the 2, you get 2x-6. if you distribute the 7, you get 7x+14. then you combine like terms ans get 9x+8

7 0
3 years ago
Read 2 more answers
Mario says that the expression 4+3n² has four terms: 4, 3, n, and 2. Is he correct? explain.
stich3 [128]

Mario says that the expression 4+3n^2 has four terms: 4, 3, n, and 2. Mario is incorrect

<em><u>Solution:</u></em>

Given that the expression is:

4+3n^2

Given that, Mario says that the above expression has four terms

But Mraio is incorrect

Because the given expression has two terms only

4 is one of the term

3n^2 is another term

So there are totally 2 terms only

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

Here 3 is a constant multiplied by n^2

So, 3n^2 is one term

Each term in an algebraic expression is separated by a + sign or - sign

Thus there are two terms in mario expression

8 0
3 years ago
At the school play abby handed out 250 programs and kim handed out 300 what is the ratio of the number of programs abby handed o
photoshop1234 [79]

A ratio shows us the number of times a number contains another number. The ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

At the school play Abby handed out 250 programs and Kim handed out 300. Therefore, the ratio of the number of programs Abby handed out to the number programs Kim handed out is,

Ratio = (Number of programs Abby handed out)/(Number of programs Kim handed out)

Ratio = 250 / 300 = 5/6

Hence, the ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.

Learn more about Ratios:

brainly.com/question/1504221

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3 0
2 years ago
Describe the pattern in the numbers. Write the next number in the pattern. 1, 2/3, 1/3, 0
olga2289 [7]

Answer:

-1/3

Step-by-step explanation:

its subtracting 1/3 every time

6 0
3 years ago
Using the quadratic formula to solve 11x²-4x=1 What are The values of X?
Anvisha [2.4K]
11x^2 - 4x = 1
11x^{2} - 4x - 1 = 1 - 1
11x^{2} - 4x - 1 = 0
x = \frac{-(-4) \± \sqrt{(-4)^{2} - 4(11)(-1)}}{2(11)}
x = \frac{4 \± \sqrt{16 + 44}}{22}
x = \frac{4 \± \sqrt{60}}{22}
x = \frac{4 \± 2\sqrt{15}}{22}
x = \frac{2 \± \sqrt{15}}{11}
x = \frac{2 + \sqrt{15}}{11}\ \bold{or}\ x = \frac{2 - \sqrt{15}}{11}
8 0
3 years ago
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