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UkoKoshka [18]
2 years ago
14

QUESTION 20

Mathematics
1 answer:
Elodia [21]2 years ago
8 0

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.

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What is the exact radian measure of an angle of 132
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Since we know that in π radians there are 180°, thus how many radians in 132°?

\bf \begin{array}{ccll}
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6 0
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Read 2 more answers
Write the coordinate of the intercept
Basile [38]

Answer:

m = 2/3

y-intercept: 2

Explanation:

First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.

This equation should be in the form: Ax + By = C (Standard form)

y = -Ax/B + C/B : y = mx + b (Slope intercept form)

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→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>

<u>8</u>x <u>- 12</u>y = <u>-24</u>

| | |

A B C

Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.

8x - 12y = -24

-8x -8x

(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)

-12y = -8x - 24

×-1 ×-1 ×-1

(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)

12y = 8x + 24

(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)

8 0
2 years ago
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