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3 years ago

Sequence 120 300 750

Mathematics

1 answer:

likoan [24]3 years ago

7 0

Answer:

2.5

Step-by-step explanation:

This is a geometric sequence that increases by 2.5x.

120 x 2.5 = 300

300 x 2.5 = 750

Hope this helps!

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Which values are in the solution set of the compound inequality? Check all that apply. 4(x + 3) ≤ 0 or x + 1 > 3 –6 –3 0 3 8

Colt1911 [192]

we have

$4(x + 3) \leq 0$ -------> inequality 1

$x + 1 > 3$ -------> inequality 2

we know that

In this system of inequalities, for a value to be the solution of the system, it is enough that it satisfies at least one of the two inequalities.

let's check each of the values

case 1) x=-6

Substitute the value of x=-6 in the inequality 1

$4(-6 + 3) \leq 0$

$4(-3) \leq 0$

$-12 \leq 0$ -------> is ok

The value of x=-6 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

case 2) x=-3

Substitute the value of x=-3 in the inequality 1

$4(-3 + 3) \leq 0$

$4(0) \leq 0$

$0 \leq 0$ -------> is ok

The value of x=-3 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

case 3) x=0

Substitute the value of x=0 in the inequality 1

$4(0 + 3) \leq 0$

$4(3) \leq 0$

$12 \leq 0$ -------> is not ok

Substitute the value of x=0 in the inequality 2

$0 + 1 > 3$

$1 > 3$ --------> is not ok

The value of x=0 is not a solution of the compound inequality

case 4) x=3

Substitute the value of x=3 in the inequality 1

$4(3 + 3) \leq 0$

$4(6) \leq 0$

$24 \leq 0$ -------> is not ok

Substitute the value of x=3 in the inequality 2

$3 + 1 > 3$

$4 > 3$ --------> is ok

The value of x=3 is a solution of the compound inequality

case 5) x=8

Substitute the value of x=8 in the inequality 1

$4(8 + 3) \leq 0$

$4(11) \leq 0$

$44 \leq 0$ -------> is not ok

Substitute the value of x=8 in the inequality 2

$8 + 1 > 3$

$9 > 3$ --------> is ok

The value of x=8 is a solution of the compound inequality

case 6) x=10

Substitute the value of x=10 in the inequality 1

$4(10 + 3) \leq 0$

$4(13) \leq 0$

$52 \leq 0$ -------> is not ok

Substitute the value of x=10 in the inequality 2

$10+ 1 > 3$

$11 > 3$ --------> is ok

The value of x=10 is a solution of the compound inequality

therefore

the answer is

[-6,-3,3,8,10]

7 0

4 years ago

How do I solve? Show with steps.

Ede4ka [16]

Step-by-step explanation:

or,[(√-x-1)+(√x+9)]^2=4^2

or,(√-x-1)^2+2√(-x-1)(x+9)+(√x+9)^2=16

or,-x-1+2√-x^2-10x-9 +x+9=16

or,2√-x^2-10x-9=8

or,√-x^2-10x-9=4

squaring on both sides

or,-x^2-10x-9=16

or,-x^2-10x=25

or,-x(x+10)=25

Either,

x=-25 or, x=15.

8 0

4 years ago

HELP FAST

ddd [48]

Answer:

D. $5688

Step-by-step explanation:

good luck

4 0

3 years ago

Danny decided to invest his $500 tax refund rather than spending it. He found a bank that would pay him 4% interest, compounded

Blababa [14]

Present value, PV = $500
Future value, FV = 2*PV = 2*500 = $1,000
Rate, r = 4% = 0.04
Compounding times in a year, n = 4 (compounded quarterly)
Time, t = ??

The future value expression is stated as:
FV = PV (1+r/n)^nt

Substituting;
1000 = 500 (1+0.04/4)^4t
2 = (1.01)^4t
ln 2 = 4t ln 1.01
0.6931 = 4t* 0.00995
0.6931 = 0.0398t
t = 17.414 years

Time required for the amount to double is 17.41 years.

5 0

3 years ago

Solve for x. 2x + 16 = 3(x - 9) A) -43 B) -25 C) 0 D) 43

sergiy2304 [10]

Answer:

x = 43

Step-by-step explanation:

2x + 16 = 3(x - 9)

2x + 16 = 3x - 27

2x - 16 = 3x -27 (-16)

2x = 3x -43

2x (-3x) = -43

-1x or -x

-x = -43

-43/ -x = 43

4 0

3 years ago