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3 years ago

Factor completely. y2+6y+8

Mathematics

2 answers:

zloy xaker [14]3 years ago

4 0

If you can't see the picture the answer is: (y+4)(y+2).

Hope this helps, and May the Force Be With You!
-Jabba

Stolb23 [73]3 years ago

4 0

Answer: The answer is $(y+4)(y+2).$

Step-by-step explanation: The given polynomial expression is

$E=y^2+6y+8.$

We are given to factor the above polynomial expression completely. For that we need to find two numbers with sum 6 and product 8.

The factorisation is as follows:

$E\\\\=y^2+6y+8\\\\=y^2+2y+4y+8\\\\=y(y+2)+4(y+2)\\\\=(y+4)(y+2).$ .

Hence, factorised.

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Find the average of these numbers. 23, 24, 27, 25, 26, 23, 21, 32, 29, 30

Pavel [41]

Answer:

Step-by-step explanation:

First, add all the numbers together

23 + 24 + 27 + 25 + 26 + 23 + 21+ 32 + 29 + 30= 260

Then divide by the number of terms there are, in this case 10

260/10= 26

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Is -6/0 as a fraction = -6 orrrrrr undefined

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Halla la tasa de variación de cada funcion en el intervalo [-4,3] e indica si es positiva , negativa o nula A) f(x)=x2-2x+4 B) f

masya89 [10]

Answer:

$A) \hspace{3}Rate\hspace{3}of\hspace{3}change=-5\hspace{3}Negative\\\\B)\hspace{3}Rate\hspace{3}of\hspace{3}change=-21\hspace{3}Negative$

Step-by-step explanation:

Given a function $f(x)$ , we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value " $x_1$ " to another " $x_2$ ".

The rate of change of $f(x)$ between $x_1$ and $x_2$ can be calculated as follows:

$Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)$

For:

$f(x)=x^2-2x+4$

Let's find $f(x_1)$ and $f(x_2)$ , where:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7$

So:

$Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative$

And for:

$f(x)-3x+2$

Let's find $f(x_1)$ and $f(x_2)$ , where:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7$

So:

$Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative$

<em>Translation:</em>

Dada una función $f(x)$ , llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor " $x_1$ " a otro " $x_2$ ".

La tasa de variación de $f(x)$ entre $x_1$ y $x_2$ , puede ser calculada de la siguiente forma:

$Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)$

Para:

$f(x)=x^2-2x+4$

Encontremos $f(x_1)$ y $f(x_2)$ , donde:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7$

Entonces:

$Tasa\hspace{3}de\hspace{3}variacion =7-12=-5\hspace{3}Negativa$

Y para:

$f(x)-3x+2$

Encontremos $f(x_1)$ y $f(x_2)$ , donde:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7$

Entonces:

$Tasa\hspace{3}de\hspace{3}variacion=-7-14=-21\hspace{3}Negativa$

8 0

3 years ago

What is the volume of a right trianular prism with the dimesions of 15 11 17

Harlamova29_29 [7]

Answer:

1402.5 Cubic Units

Step-by-step explanation:

Volume of a Triangular Prism: V = $\frac{1}{2}bhl$

b - base

h - height

l - length

15 is the height, 17 is the length, and 11 is the width (assuming which is the base).

$V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5$

The volume of the prism should be 1402.5 cubic units.

3 0

3 years ago