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svetlana [45]
3 years ago
6

Solve each inequality x+1>-5(7-2x)

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

x+1 > -5(7-2x)\ \ \ \ |\text{use distributive property}\\\\x+1 > (-5)(7)+(-5)(-2x)\\\\x+1 > -35+10x\ \ \ \ |-1\\\\x > -36+10x\ \ \ \ |-10x\\\\-9x > -36\ \ \ \ |\text{change the signs}\\\\9x < 36\ \ \ \ |:9\\\\\boxed{x < 9}\to x\in(-\infty,\ 9)

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What is 84/144 in simplest form fraction?
iris [78.8K]
7/12 ............................................
8 0
3 years ago
Which equation justifies why 93-3√9?
Simora [160]

Considering the conversion from exponent to radical, the equation that justifies why the expression 9^{\frac{1}{3}} = \sqrt[3]{9} is correct is.

(9^{\frac{1}{3}})^{3} = 9^{\frac{3}{3}} = 9

<h3>How is the conversion from exponent to radical realized?</h3>

The conversion of rational exponents to radical notation is modeled by:

a^{\frac{n}{m}} = \sqrt[m]{a^n}

In this problem, the expression is:

9^{\frac{1}{3}} = \sqrt[3]{9}

And the equation that shows that this is correct is:

(9^{\frac{1}{3}})^{3} = 9^{\frac{3}{3}} = 9

More can be learned about the conversion from exponent to radical at brainly.com/question/19627260

#SPJ1

5 0
2 years ago
If f(x) = 2x2 - 5 and g(x) = 3x + 3, find (f - g)(x).
Vera_Pavlovna [14]
Answer: A. 2x2 - 3x - 8

Just subtract the functions and combine like terms
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2x^2 - 5 -(3x + 3)
(f - g)(x) = 2x^2 - 5 - 3x - 3
(f - g)(x) = 2x^2 - 3x - 8
7 0
3 years ago
Belle bought 18 seeds in order to plant an herb garden for her grandma. Of the seeds she bought, 10 were parsley seeds.
Harrizon [31]

Answer:

  0.3431

Step-by-step explanation:

Here, it can work well to consider the seeds from the group of 18 that are NOT selected to be part of the group of 15 that are planted.

There are 18C3 = 816 ways to choose 3 seeds from 18 NOT to plant.

We are interested in the number of ways exactly one of the 10 parsley seeds can be chosen NOT to plant. For each of the 10C1 = 10 ways we can ignore exactly 1 parsley seed, there are also 8C2 = 28 ways to ignore two non-parsley seeds from the 8 that are non-parsley seeds.

That is, there are 10×28 = 280 ways to choose to ignore 1 parsley seed and 2 non-parsley seeds.

So, the probability of interest is 280/816 ≈ 0.3431.

___

The notation nCk is used to represent the expression n!/(k!(n-k)!), the number of ways k objects can be chosen from a group of n. It can be pronounced "n choose k".

6 0
3 years ago
Farmer tom has chickens and sheep he counts 48 heads and 134 legs how many sheep does he have
just olya [345]
Because each chicken has 2 legs you divide 134 by 2 which is 67 then 24 which basically means he has 36 sheep in total. Hope this helped
4 0
3 years ago
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