2 years ago

Solve the inequality.

Mathematics

1 answer:

Phoenix [80]2 years ago

3 0

N > -9 is what I got

You might be interested in

"Code" the things that match then simplify each expression 75g + 34 - 17c - 80g + 22c

Karolina [17]

The answer is -5g+5c+34

7 0

3 years ago

Read 2 more answers

Find the common difference of the arithmetic sequence, the next three terms, the equation, and the term given for 8, 10, 12, 14

fredd [130]

Answer:

see explanation

Step-by-step explanation:

In an arithmetic sequence the common difference d is

d = a₂ - a₁ = 10 - 8 = 2

To obtain the next term in the sequence add d to the previous term, that is

a₅ = 14 + 2 = 16

a₆ = 16 + 2 = 18

a₇ = 18 + 2 = 20

The next 3 terms in the sequence are 16, 18, 20

The n th term equation for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 2, thus

$a_{n}$ = 8 + 2(n - 1) = 8 + 2n - 2 = 2n + 6

5 0

3 years ago

Can someone explain this to me? I'm not entirely sure this question has enough information to be solved. Thanks!

dedylja [7]

Question 1

$DC=AC-AD=20-16=4$

Question 2

By the geometric mean theorem,

$BD^2 = (4)(16)=64 \\ \\ BD=8$

Question 3

By the Pythagorean theorem,

$AB^2 = 8^2 + 16^2 \\ \\ AB^2 = 320 \\ \\ AB=8\sqrt{5}$

Question 4

By the Pythagorean theorem,

$BC^2 = 8^2 +4^2 \\ \\ BC^2 = 80 \\ \\ BC=4\sqrt{5}$

8 0

1 year ago

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.

Brilliant_brown [7]

$\text{Use:}(*)\ (a+b)^2=a^2+2ab+b^2\\\\2x^2+2x+1=0\ \ \ \ |:2\\\\x^2+x+0.5=0\\\\x^2+2\cdot x\cdot0.5+0.5=0\\\\\underbrace{x^2+2\cdot x\cdot0.5+0.5^2}_{(*)}-0.5^2+0.5=0\\\\(x+0.5)^2-0.25+0.5=0\\\\(x+0.5)^2+0.25=0\ \ \ \ |-0.25\\\\(x+0.5)^2=-0.25\to D)$

Answer: D) (x + 0.5)2 = -0.25

5 0

3 years ago

Apply the distributive property and the greatest common factor to write an equivalent expression.

Pavel [41]

Using the distributive property to write an equivalent expression,
60x-24=12(5x-2)

4 0

2 years ago