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Troyanec [42]
3 years ago
9

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!!

-----------


DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
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:

8 0
3 years ago
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