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harkovskaia [24]
2 years ago
6

-3(x+3)+5<-3 How do you solve this inequality

Mathematics
1 answer:
Illusion [34]2 years ago
6 0

Answer:

x<1/-3

Step-by-step explanation:

Distribute -3 to (x+3)

-3x-9+5<-3

add like terms (-9+5=-4)

-3x-4<-3

add 4 to both sides

-3x<1

divide both sides by -3

x<1/-3

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Starting with the standard form of an equation ax + by = c, solve this expression for y in terms of a, b, c, and x. then put the
Vika [28.1K]
Ax+by=c
a=(-by+c)/x
b=(-ax+c)/x
c=ax+by
x=(-by+c)/a
y=(-ax+c)/b. or y= -a/b x + c/b which is slope intercept form
4 0
3 years ago
Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

6 0
3 years ago
Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $
nikklg [1K]

The system of linear equations represents the situation is;

x + y = 125

x + y = 1255x + 8y = 775

<h3>Simultaneous equation</h3>

Simultaneous equation is an equation in two unknown values are being solved for at the same time.

let

  • number of quick washes = x
  • number of premium washes = y

x + y = 125

5x + 8y = 775

From equation (1)

x = 125 - y

5x + 8y = 775

5(125 - y) + 8y = 775

625 - 5y + 8y = 775

- 5y + 8y = 775 - 625

3y = 150

y = 150/3

y = 50

  • Substitute y = 50 into

x + y = 125

x + 50 = 125

x = 125 - 50

x = 75

Therefore, the number of quick washes and premium washes Monica’s school band had is 75 and 50 respectively.

Learn more about simultaneous equation:

brainly.com/question/16863577

#SPJ1

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1 year ago
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