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3 years ago

Which function is equivalent to the inverse of y=sec(x)

1 answer:

6 0

From the identity:

$sec(x)= \frac{1}{cos(x)}$

$f(x)=sec(x)= \frac{1}{cos(x)}$

the inverse of f is g such that f(g(x))=x,

we must find g(x), such that $\frac{1}{cos[g(x)]}=x$

thus, $cos[g(x)]= \frac{1}{x}$

$g(x)=cos^{-1} (\frac{1}{x})$

Answer: b. g(x)=cos^-1(1/x)

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A company pays its employees a fixed base salary and a commission based on sales. The scatter plot below shows the total earning

Monica [59]

I'm assuming the question is

A company pays its employees a fixed base salary and a commission based on sales. The scatter plot shows the total earning of an employee of the company (y) based on sales (x):

Plot the ordered pairs 0, 10 and 100, 20 and 200, 30 and 300, 40 and 400, 50 and 500, 60

Which function best represents the data in the scatter plot? (1 point)

y = 0.1x + 10

y = 0.1x − 10

y = 0.1x + 1

y = 0.2x − 1

So thus your answer would be y = 0.1x + 10

5 0

2 years ago

Ginny’s favorite cookie recipe requires 1 1/2 cups of sugar to make 24 cookies. How much sugar does Ginny need to make 36 of the

Delicious77 [7]

Ginny needs $2\frac{1}{4}$ cups of sugar to make 36 cookies.

Step-by-step explanation:

Given,

Sugar cups required for 24 cookies = $1\frac{1}{2}=\frac{3}{2}\ cups$

Ratio of sugar cups to cookies = $\frac{3}{2}:24$

Let,

x be the number of cups needed for 36 cookies.

Ratio of sugar cups to cookies = $x:36\\$

Using proportion;

Ratio of sugar cups to cookies :: Ratio of sugar cups to cookies

$\frac{3}{2}:24::x:36$

Product of mean = Product of extreme

$24*x=\frac{3}{2}*36\\24x=54$

Dividing both sides by 24

$\frac{24x}{24}=\frac{54}{24}\\x=\frac{9}{4}\\x=2\frac{1}{4}$

Ginny needs $2\frac{1}{4}$ cups of sugar to make 36 cookies.

Keywords: fraction, proportion

Learn more about fractions at:

#LearnwithBrainly

7 0

3 years ago

What is the answer for R?

In-s [12.5K]

R would equal -189, there is step by step in the picture

4 0

3 years ago

Ggle is saying the wrong answer, anyone can help??

ddd [48]

Answer:

X=2

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Enunciado:Si una empresa determina que sus costos obedecen a un modelo lineal y además sabe que si produce $10$ unidades sus cos

const2013 [10]

Responder:

y = 200x + 2000

Explicación paso a paso:

Deje que la ecuación lineal se exprese como y = mx + c

m es la pendiente

c es la intersección

Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;

(10,4000) y (15,5000)

Conseguir la pendiente

m = 5000-4000 / 15-10

m = 1000/5

m = 200

Obtener la intersección c

Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c

4000 = 200 (10) + c

4000-2000 = c

c = 2000

Sustituya m = 200 y c = 2000 en la ecuación y = mx + c

y = 200x + 2000

Por tanto, la expresión lineal requerida es y = 200x + 2000

3 0

3 years ago