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2 years ago

Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x)

Mathematics

1 answer:

tamaranim1 [39]2 years ago

6 0

Answer:

Step-by-step explanation:

3 $x^{2}$ +x-3= $x^{2}$ - 5x

combine like terms

3 $x^{2}$ + $x^{2}$ = 4 $x^{2}$

x -5x = -4x

then combine 4 $x^{2}$ and -4x

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QUESTION 20

Elodia [21]

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) $f(x) =-2\cdot x ^{2}-6$ Dado

2) $g(x) = x+4$ Dado

3) $(f-g)(x) = (-2\cdot x^{2}-6)-(x+4)$ Definición de resta de funciones.

4) $(f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)$ $(-1)\cdot a = -a$

5) $(f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)$ Propiedad distributiva/ $(-1)\cdot a = -a$

6) $(f-g)(x) = -2\cdot x^{2}-x+(-6-4)$ Propiedad conmutativa

7) $(f-g) (x) = -2\cdot x^{2}-x-10$ Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en $x = -5$ :

$(f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10$

$(f-g)(-5) =-55$

Por ende, la respuesta correcta es B.

8 0

2 years ago

What is equivalent to 1/40

Nimfa-mama [501]

2/80 is equivalent
you can also just multiply the numerator and denominator to find out what else is equivalent.

5 0

2 years ago

Read 2 more answers

Let ABCD and EFGH be two quadrilaterals such that ABCD ~ EFGH. If AB = 15 cm, EF = 18 cm and the perimeter of ABCD is 40 cm, fin

Andrews [41]

Step-by-step explanation:

this photo is correct answer of this question.

7 0

2 years ago

Can someone please help me:)

Naddika [18.5K]

For a translation 4 units down you would subtract 4 from each y value and 5 units right you would add 5 to each x value.
Your resulting points would be.
A'(-1,1), B'(-1,-2), C'(3,-2), D'(3,2)

4 0

2 years ago

In 2010 a family membership in a country club cost $18,000 if this cost increased $475 each year since 2010, then how much will

kvasek [131]

Answer:

21,800

Step-by-step explanation:

Because 475 x 8 equals 3800 you add 3800 to 18,000 and get 21,800

4 0

2 years ago