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3 years ago

Which expressions are equivalent to the one below ? check all that apply :)

Mathematics

2 answers:

lys-0071 [83]3 years ago

8 0

Answer:

its b and e

Step-by-step explanation:

Stella [2.4K]3 years ago

5 0

Answer:

Option D and E are equivalent to the given expression.

Step-by-step explanation:

Given : $\frac{21^x}{3^x}$

Solution:

$\frac{21^x}{3^x}$

Using identity : $\frac{a^x}{b^x} = (\frac{a}{b})^x$

$(\frac{21}{3})^x$ -- Option E

Now this can be written as $21^x = 7^x \times 3^x$

Identity : $a^x \times b^x = (a \cdot b)^x$

$\frac{7^x \times 3^x}{3^x}$ -- Option D

$(7)^x$ -- Option D

Thus Option D and E are equivalent to the given expression.

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Please help me....people are just using my points and im running out.....please help me!!

storchak [24]

Answer

I think that c would equal 4

Step-by-step explanation:

If you need the explanation, here it is:

When looking at the y part of the answer, you can see it goes up by three and that it is missing a point. This means that if the equation is linear, it goes up by one. Hope that's right!!

5 0

3 years ago

Pliz solve this question

kotegsom [21]

Answer:

i) (-3,0)
ii) (0,5)

Step-by-step explanation:

<u>Coordinates of points</u>

i) lies on x- axis with abscissa - 3

If it lies on x- axis, it has zero y-coordinate
It is (-3, 0)

ii) lies on y-axis with ordinate 5

It lies on y-axis, it has zero x-coordinate
It is (0, 5)

4 0

3 years ago

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

Complete each statement from the information given and state the reasons and the triangle criterion you used.

TiliK225 [7]

Answer:

Triangle GAS = Triangle IOL by rule AAS

Step-by-step explanation:

The points must be ordered correctly so they correspond within the triangles. Point G = Point I, Point A = Point O, Point S = Point L.

A rule for determining Triangle Congruency is AAS. If two angles and a side of a triangle are equal to one of another triangle, the triangles are congruent.

5 0

3 years ago

Evaluate the following expression. 3^-2

Crazy boy [7]

Answer: The simplified form is $\frac{1}{9}$