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3 years ago

What is the range of the function f(x) = 2x+3

Mathematics

1 answer:

MrRissso [65]3 years ago

3 0

Answer: (-∞,∞)

Step-by-step explanation: The line extends forever in both directions meaning that the endpoints will be negative infinity and infinity.

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Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2

Aleksandr [31]

Answer:

a= $\frac{3}{x^{2} }$

b=5

Step-by-step explanation:

we are given

$\frac{3}{x} }$ + $\frac{5}{x^{2} }$ =ax+ $\frac{b}{x^{2} }$

we will compare both sides of equaion

$\frac{b}{x^{2} }$ = $\frac{5}{x^{2} }$

comparing both sides we get

b=5

and

$\frac{3}{x} }$ =ax

a= $\frac{3}{x^{2} }$

hence

a= $\frac{3}{x^{2} }$

and b=5

4 0

3 years ago

Al factorizar el trinomio cuadrado perfecto, obtenemos el siguiente resultado: (que no se como resolver) xd algun pro que sepa r

PolarNik [594]

Answer:

$\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8=\left(\frac{10}{9}m^4p^{6}q^{8}z-\frac{1}{7}mpz^4\right)^2$

Step-by-step explanation:

<u>Trinomio Cuadrado Perfecto</u>

El producto notable llamado cuadrado de un binomio se expresa como:

$(a-b)^2=a^2-2ab+b^2$

Si se tiene un trinomio, es posible convertirlo en un cuadrado perfecto si cumple con las condiciones impuestas en la fórmula:

* El primer término es un cuadrado perfecto

* El último término es un cuadrado perfecto

* El segundo término es el doble del proudcto de los dos términos del binomio.

Tenemos la expresión:

$\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8$

Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:

$\displaystyle a=\sqrt{\frac{100}{81}m^8p^{12}q^{16}z^2}$

$\displaystyle a=\frac{10}{9}m^4p^{6}q^{8}z$

Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:

$\displaystyle b=\sqrt{\frac{1}{49}m^2p^2z^8$

$\displaystyle b=\frac{1}{7}mpz^4$

Nos cercioramos de que el término central es 2ab:

$\displaystyle 2ab=2\frac{10}{9}m^4p^{6}q^{8}z\frac{1}{7}mpz^4$

Operando:

$\displaystyle 2ab=\frac{20}{63}m^5p^7q^8z^5$

Una vez verificado, ahora podemos decir que:

$\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8=\left(\frac{10}{9}m^4p^{6}q^{8}z-\frac{1}{7}mpz^4\right)^2$

5 0

2 years ago

Nina earns $15 for each yard she mows the table shows her earnings for 0, 1, 2 and 3 yards mowed how much will Nina earn if she

Paha777 [63]

Hello there!

According to the chart, you can see that for every lawn Nina mows, she earns $15. So it's increasing by 15 per yard.

Let's see if this will help:

1 yard= $15
6 yards = ???

I don't want to give you the answer right away, since I want you to learn how to do it. :)

I hope my hint helped!!

(If you're really stuck, take 6 times 15)!

Hope this helped!!

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8 0

3 years ago

1: 2(y+6)=?<br> 2: 6-(-6+2)=?<br> What is the property of equation?

Citrus2011 [14]

1: 2y+12

2: 6 +6 -2
+12 -2
= 10

5 0

3 years ago

Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2

castortr0y [4]

Answer: -x^2 + 15x

Step-by-step explanation: