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Hatshy [7]
1 year ago
8

Solve the inequality x² + 2x + 1 < 0.

Mathematics
1 answer:
DaniilM [7]1 year ago
3 0

Hello

x² + 2x + 1 < 0 ⇔ (x + 1)² < 0

S = {∅} because a² ≥ 0

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Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths
nadya68 [22]
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
6 0
3 years ago
If you can run 3 miles in 20 minutes, how far can you run in one hour?
Irina-Kira [14]

Answer:

I think it would be 9 miles.

3 0
3 years ago
Plss answer!! <br>MERRY Christmas!!! <br>Critical Question. AAAAA​
liberstina [14]

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1

We take left hand side of the given equation and solve it,

\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}

Since, abc = 1,

\frac{1}{c}=ab and c = \frac{1}{ab}

By substituting these values in the expression,

\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}

                                       =\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}

                                       =\frac{1+b+ab}{1+b+ab}

                                       =1

Which equal to the right hand side of the equation.

Hence, \frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1

5 0
3 years ago
The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the
Art [367]
Let x = first number and y = second number.
The first statement is expressed as
x*y = 713
The second statement is expressed as
x = y + 9
To find x, use the second equation in terms of y, that is y = x - 9. Then substituting it to the first equation yields
x*(x - 9) = 713
7 0
3 years ago
Read 2 more answers
Parallel Lines cut by a transversal
Tresset [83]

Answer:

-4

Step-by-step explanation:

1. They are alternate exteriors meaning they are supposed to be the same so you sort the equation like 134+x=130

2. Then you pass 134 both side like ×=130

-134

3. Which will equal :-4

7 0
2 years ago
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