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prisoha [69]
2 years ago
14

The nth term of a sequence is (n + 1) (n + 2).

Mathematics
1 answer:
lions [1.4K]2 years ago
8 0

Answer:

  every term has an even factor

Step-by-step explanation:

One of the two factors of the n-th term will be even.

  • for n odd, n+1 is even
  • for n even, n+2 is even

If the number has an even factor, it is an even number. Every term of the sequence has an even factor, so every term will be even.

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If in an equation the variables cancel out while solving and u are left with a true statement how many solutions are there and i
Deffense [45]

Answer: infinitely many and none

Step-by-step explanation:

if all variables cancel and you are left with zero, there are infinitely many solutions. if it is false there are no solutions.

4 0
2 years ago
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Solve using square roots 3x^2+25=73
seropon [69]
Heya !

Given expression -

3 {x}^{2} + 25 = 73

Subtracting 25 both sides ,

3 {x}^{2} + 25 - 25 = 73 - 25 \\ \\ 3 {x}^{2} = 48

Dividing by 3 on both sides ,

\frac{3 {x}^{2} }{3} = \frac{48}{3} \\ \\ {x}^{2} = 16

Therefore ,
x = + \: 4 \: \: \: \: or \: \: - 4 \: \: \: \: \: \: \: Ans.
4 0
3 years ago
The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0
3 years ago
HELP ASAP WILL MARK BRAINLIEST:)
Genrish500 [490]

Answer:

B

Step-by-step explanation:

The ratio of the larger figure to the smaller figure is simplfying 30/12 to 5/2

Honest the 7/4 is just an educated guess because...yeah

8 0
3 years ago
Dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales. Verdadero o falso?
iren2701 [21]

Answer: verdadero.

Step-by-step explanation:

En geometría se dice que dos figuras son semejantes si tienen la misma forma pero no necesariamente el mismo tamaño.

Ahora, lo que define la forma de un triángulo son sus ángulos, entonces si dos triángulos tienen los mismos ángulos, estos triángulos van a tener la misma forma.

Y los lados siendo proporcionales entre ellos (recordar que una relación proporcional es y = k*x) habla de la relación entre los tamaños de los dos triángulos.

Entonces si, "dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales" es verdadero.

5 0
2 years ago
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