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3 years ago

Write and solve a proportion to answer the question. Round the answer to the nearest tenth.

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

8 0

Answer:

7.2

Step-by-step explanation:

36 divided by 5 = 7.2

7.2 times 5 = 36.

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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

3 years ago

The table shows the price of apples in the local market. What is the cost of 12 pounds of apples? Apples (pounds) Price (dollars

MAXImum [283]

Lbs : 4, 8, 12, 16
cost : 6, 12, ?, 24

12 lbs would cost u $ 18 because the apples cost (6/4) = 1.50 per lb

5 0

3 years ago

Read 2 more answers

a painter can paint 20 windows in one day. If he has to paint 50 pairs of windows how much time will he take to paint

vazorg [7]

Answer:

50*2=100

100/20=5

The answer is 5 days!

5 0

3 years ago

Which equation is equivalent to (1/3)x=27x+2?

erma4kov [3.2K]

I hope this helps you

x=3. (27x+2)

x=81x+6

80x=-6

x=-3/40

7 0

3 years ago

Read 2 more answers

The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

Neko [114]

The value of f⁻¹(f(58)) is 58 and the value of the function f(f(5)) is 11

<h3>How to solve the function values?</h3>

As a general rule, we have:

f⁻¹(f(x)) = x

Substitute 58 for x

So, we have:

f⁻¹(f(58)) = 58

Hence, the value of f⁻¹(f(58)) is 58

Also, we have:

f(f(5))

From the table, we have:

f(5) = 9

So, we have:

f(f(5)) = f(9)

From the table, we have:

f(9) = 11

So, we have:

f(f(5)) = 11

Hence, the value of the function f(f(5)) is 11

Read more about invertible function at:

brainly.com/question/14391067

#SPJ1

7 0

2 years ago