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Varvara68 [4.7K]
3 years ago
5

Determina en cada caso, si la función corresponde a una función lineal o a una función afín. a. Y = -5x b. Y = -3x – 2 c. Y = 2x

+ 4 d. Y = 1x/4 – 2
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

Sabemos que una función lineal es de la forma:

f(x) = m*x

Mientras que una funcion afin es de la forma:

g(x) = m*x + n

Entonces para reconocer si una función es lineal o afín, simplemente debemos ver si tenemos un término constante o no (un término constante es un término que no está siendo multiplicado por la variable x).

a) y = -5*x

No tenemos término constante, entonces es una función lineal.

b) y = -3*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

c) y = 2*x + 4

Acá tenemos un término constante igual a 4, entonces esto es una función afín.

d) y = (1/4)*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

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the frame of a picture is 28 cm by 32 cm outside and is of uniform width.What is the width of the frame if 192 cm2 of the pictur
natita [175]

Answer:

The width of the frame is equal to 8\ cm  

Step-by-step explanation:

Let

x-------> the width of the frame picture

we know that

(28-2x)(32-2x)=192    

896-56x-64x+4x^{2} =192

4x^{2}-120x+704=0  

Simplify

x^{2}-30x+176=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-30x+176=0

so

a=1\\b=-30\\c=176

substitute in the formula

x=\frac{30(+/-)\sqrt{(-30)^{2}-4(1)(176)}} {2(1)}

x=\frac{30(+/-)\sqrt{196}} {2}

x=\frac{30(+/-)14} {2}

x=\frac{30+14} {2}=22\ cm  ----> this solution is not logic

x=\frac{30-14} {2}=8\ cm  

The width of the frame is equal to 8\ cm  

8 0
3 years ago
The driving distance from Alex's house to the museum is 6 7/10 miles. What is the round-trip distance?
lions [1.4K]
Round trip is going there and back so it is 2*(6 7/10)=12 14/10=13 4/10=14 2/5
7 0
3 years ago
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N is an integer.<br> Write the values of n such that -15 &lt; 3 ≤ 6<br><br> Help please ❤️❤️
Alex17521 [72]

Answer:

-4,-3,-2,-1,0,1

Step-by-step explanation:

First, doublepound and simplify it.

-15<3n

3n<6

Solve:

-5<n

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Compound:

-5<n<2.

So the values are -4,-3,-2,-1,0,1

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8 0
3 years ago
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kompoz [17]

Answer:

x = 90°

Step-by-step explanation:

The diagonals of the kite AC and BD are perpendicular to each other

Hence x = 90°

6 0
3 years ago
Find the tangent of both angle A and angle B. Ignore what the picture says the numbers are the same.
Elena-2011 [213]
For the angle A we have:
 tan (A) = C.O / C.A
 tan (A) = 10/24
 Simplifying we have:
 tan (A) = 5/12
 For angle B we have:
 tan (B) = C.O / C.A
 tan (B) = 24/10
 Simplifying we have:
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 Answer:
 
The tangent of angles A and B is given by:
 
tan (A) = 5/12
 
tan (B) = 12/5
4 0
3 years ago
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