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WARRIOR [948]
3 years ago
14

Can someone please explain why this is incorrect? Isn’t (2x+5)(x+1) the same as (x+1)(2x+5)?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0

Answer:

2(2x+5) (x+1) = 2(x+1)(2x+5)

Step-by-step explanation:

4x^2 +14x+10

Factor out the 2

2(2x^2 +7x+5)

2(2x+5) (x+1)


You need to keep the 2 that you factored out

2(2x+5) (x+1) = 2(x+1)(2x+5)  by the  Commutative Property of Multiplication

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Which graph shows the solution to the system of linear inequalities?
tangare [24]

Answer:

  • See below

Step-by-step explanation:

<u>Given system:</u>

  • y ≥ 2x + 1
  • y ≤ 2x – 2

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

8 0
2 years ago
Read 2 more answers
Describe the pattern, write the next term, and write a rule for the nth term of the sequence,
vagabundo [1.1K]

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

7 0
3 years ago
A snail moved 5 feet in 2 hours. How many feet will the snail move in 5 hours?
mamaluj [8]
The best way to do this is to set up a proportion

2       5
--- = ----
5       x

then cross multiply and divide

5 times 5=25/2=12.5

he would move 12.5 feet in 5 hours

I hope I've helped!
4 0
3 years ago
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme
kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

 = 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ A=P(1+\frac{r}{100} )^n

On substituting the values, we get

⇒ 100000=76000(1+\frac{6.2}{100} )^n

⇒ (1+0.062)^n=\frac{100}{76}

On taking log both sides, we get

⇒ n \ log_e(1.062)=log_e(\frac{100}{76} )

⇒                   n=\frac{ln(\frac{100}{76} )}{ln(1.062)}

By putting the values of log, we get

⇒                      =4.5622

or,

⇒                      =4.6

5 0
2 years ago
Z1 =3+4i and z2=4+3i then what is the relation of z1 and z2?​
harkovskaia [24]

Answer:

ANSWER

z  

1

​  

=3+4i

z  

2

​  

=−4+3i

z=z  

1

​  

+z  

2

​  

 

∴z=(3+4i)+(−4+3i)

∴z=(−1+7i)

 

∴∣z∣=5  

2

​

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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