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2 years ago

What are the solutions of the compound inequality?

Mathematics

1 answer:

Rina8888 [55]2 years ago

4 0

Answer:

x < -5 or x > 2 , and because or can be in either, doesn't and literally can't be in both

Step-by-step explanation:

When you simplify 2x-2>12, it's like an algebra problem where you just add 2 to both sides and then divide by 2. Same for 2x+3>7, except you subtract 3 and then divide by 2

You might be interested in

Write a rule to represent the sequence of numbers: 2, 8, 14, 20, 26

Yuki888 [10]

Answer:

Start at 2 and add 6 each time.

Example:

2+6= 8

8+6= 14

14+6= 20

20+6= 26

and you can keep on going if you want

4 0

3 years ago

Read 2 more answers

Find the sum: 216-36+6-1........+1/7776

NNADVOKAT [17]

185 is the sum of the first part if the question

7 0

3 years ago

the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help

yarga [219]

Answer:

The function rule is

$f: x\to \: {x}^{2} - 1$

Step-by-step explanation:

The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)

We can observe the following pattern.

$f(0) = {0}^{2} - 1 = - 1$

$f(1) = {1}^{2} - 1 = 0$

$f(2) = {2}^{2} - 1 = 3$

$f(3) = {3}^{2} - 1 = 8$

$f(4) = {4}^{2} - 1 = 15$

When we generalize this pattern, we obtain:

$f(x) = {x}^{2} - 1$

This is the function equation.

The function rule is

$f: x\to \: {x}^{2} - 1$

8 0

3 years ago

given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

3 years ago

The perimeter of a parallelogram is 72 meters.The width of the parallelogram is four meters less than its length. Find the lengt

Naya [18.7K]

Parallelogram have 4 sides.

Use the distributive property. 2 multiply the last and negative 4 in the parentheses.
2l + 2(l - 4) = 72 m

Combine Like terms
2l + 2l - 8 = 72 m
4l - 8 = 72 m
Get l all by itself by adding 8 to both sides
4l - 8 = 72 m
+8. +8

Divide both sides by 4
4l = 80
4. 4

l= 20

The width of the parallelogram is four meters less than its length.

4 sides
2 length = 20
2 width = 16

I got 16 by subtracting 4 from 20

Comment if you need any other help :)

4 0

3 years ago