All categories

3 years ago

3 (x+2)+9<6(x-3) solve the inequality and write the solution using interval notation

Mathematics

1 answer:

Darya [45]3 years ago

6 0

Answer:

(11, ∞).

Step-by-step explanation:

3 (x+2)+9<6(x-3)

3x + 6 + 9 < 6x - 18

-3x < -18 - 6 - 9

-3x < -33

x > 11 (Note the inequality flips as we are dividing by a negative value).

You might be interested in

Paco has $300. June has 1/10 as much as Paco. She has 10 times as much money as Marie. How much money does June have? How much m

Bond [772]

1/10 of 300 is 30 so June has $30. If June has 10 times as much as Marie then Maria has 1/10 of what June has and 1/10 of 30 is 3 so Marie has $3.

6 0

3 years ago

Read 2 more answers

HELP ASAP!! Adding Linear Expressions. (Add.)

Blababa [14]

Don't let the parenthesis fool you. Since there is a plus in the middle, you can just combine like terms. Let's do number 1:

$5x+7+x+2$

Combine like terms.

$6x+9$

This is as simple as you can get it. Now, let's do number 2:

$-6x+3+x-7$

Combine like terms.

$-5x-4$

This is as simple as you can get it.

Final Answers:

1.) $6x+9$

2.) $-5x-4$

5 0

3 years ago

One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s

siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

$S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}$

on substituting the given respective values, we get

$S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}$

$S^{2}_{p}$ = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0

3 years ago

Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and

maxonik [38]

Answer:

$10cm^2$

Step-by-step explanation:

We are given that

Two parallel sides of trapezoid are

$a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm$

$b=3\frac{1}{2}=3+0.5=3.5 cm$

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

Area of trapezoid= $\frac{1}{2}(a+b)h$

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid= $\frac{1}{2}(1.5+3.5)\times 2$

Area of trapezoid= $10cm^2$

4 0

3 years ago

80 marked up by 37.5 percent

Mariana [72]

Make 37.5% into decimal form : Since it is being marked up, add 100% = 1.375
1.375 x 80
1.375
x 80
_________
0000
+11000
_________
110.000

80 marked up by 37.5% is 110.

7 0

3 years ago

3 (x+2)+9<6(x-3) solve the inequality and write the solution using interval notation​

3 (x+2)+9<6(x-3) solve the inequality and write the solution using interval notation