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2 years ago

Calculate the rate of change for the following data:

Mathematics

1 answer:

Licemer1 [7]2 years ago

6 0

Given:

The table of values.

To find:

The rate of change.

Solution:

From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-4-5}{2-(-1)}$

$m=\dfrac{-9}{2+1}$

$m=\dfrac{-9}{3}$

$m=-3$

So, the rate of change is -3.

Therefore, the correct option is C.

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3 years ago

Simplify the expression: 2[(8−4)5÷8]

nignag [31]

Answer:

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2[(8−4)5/8]

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3 years ago

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

When calculating the effective rate of a loan, which statement or statements must be true if n is greater than 1? I. The length

Fed [463]

When calculating the loan's effective rate, the most accurate statement is that the effective rate will exceed the nominal rate.

<h3>Effective Annual Rate:</h3>

The interest rate for the entire year is known as the effective annual rate (EAR). Interest charges are incurred when a company uses debt or capital leases to fund its operations.

Interest is reported on the income statement, but it can also be generated on an investment or paid on a loan over time due to compounding interest.

It is frequently larger than the marginal rate and is used to compare various financial products with different compounding periods, such as weekly, monthly, and yearly.

The effective yearly interest rate rises over time as the number of compounding periods increases.

Therefore, the correct option is A.

Learn more about the loans here:

brainly.com/question/2405320

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2 years ago

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