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lesya [120]
3 years ago
13

Which of the following values of x make the following functions equal?

Mathematics
2 answers:
Ivenika [448]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

y = 2x – 1 y = -5x + 13

2x – 1 = -5x + 13

2x + 5x = 13 + 1

7x = 14

x = 14/7

x = 2

MrRissso [65]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

y=2(2)-1

=4-1

=3

y=-5(2)+13

=-10+13

=3

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Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co
laila [671]
For the answer to the two questions above,
3x + 2y = 36.50 (I)
2x + 5y = 50 (II)
Eliminating x from the two equations by subtraction:
first we multiply equation I by 2 and equation II by 3
6x + 4y = 73
6x + 15y = 150
Subtracting the two,
-11y = -77
y = 7
He earns $7 at the coffee cart
Substituting y into equation I,
3x + 14 = 36.5
x = $7.50

So we can conclude that, he earns a greater wage of $7.50 at the library,
6 0
3 years ago
Read 2 more answers
Find the output for each input of y = -2x.
Bezzdna [24]
Its the first one because -3(-2)=6, 1(-2)=-2, 2(-2)=4 are all correct 

3 0
3 years ago
Read 2 more answers
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
Whats (2x-3y+4z)+(9x-8y+7z)
eduard

Answer:

=(2x-3y+4z)+(9x-8y+7z)

=2x+9x-3y-8y+4z+7z

=11x-11y+11z

hope like the answer

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4 0
3 years ago
A pilot approaching a 3000-meter runway finds that the angles of depression of the ends of the runway are 14° and 20°. How far i
Amanda [17]
Answer:  The plane is 6,547 feet from the closer edge of the runway.

This is a trigonometry problem that will involve setting up 2 different triangles. One going to the closer edge of the runway and the other going to the far end of the runway.

The constant between the 2 triangles is the height of the plane. You can solve for this is both triangles and set them equal to each other. 

Do that will give you the equation:

x/tan(70) = (x+3000)/tan(76) where x is the distance to the closer end of the runway. 

If you solve that equation, you will get x = 6547 feet.

7 0
3 years ago
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