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3 years ago

1. You have two playing cards with a sum of (−12) in your hand.

Mathematics

1 answer:

Verdich [7]3 years ago

3 0

Yes the person is right I was trying to type it but they beat me to it

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Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).

nasty-shy [4]

Answer:

$f(x) = \frac{x - 25}{5x - 5}$

Domain: $x \ne 1$

Step-by-step explanation:

Given

$f(5x) = \frac{x - 5}{5x - 1}$

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

$f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}$

$f(x) = \frac{\frac{x}{5} - 5}{x - 1}$

Take LCM

$f(x) = \frac{\frac{x - 25}{5}}{x - 1}$

$f(x) = \frac{x - 25}{5} * \frac{1}{x-1}$

$f(x) = \frac{x - 25}{5x - 5}$

To get the domain, we set the denominator as

$5x - 5 \ne 0$

$5x \ne 5$

$x \ne 1$

4 0

3 years ago

. The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1220 and a standard

rewona [7]

Answer:

0.78015

Step-by-step explanation:

Given that :

Mean, μ = 1220

Standard deviation, σ = 110

Probability that sales is less Than 1305 on a given day

P(x < 1305) :

Obtain the standardized score Z

Z = (x - μ) / σ

Z = (1305 - 1220) / 110

Z = 85 / 110

Z = 0.7727272 = 0.7727

P(Z < 0.7727) = 0.78015 (Z probability calculator)

6 0

3 years ago

I need help solving this question. A large company is considering installing charging stations for electric cars in their compan

Oduvanchick [21]

Answer:

C; right answer on Khan Academy

Step-by-step explanation:

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2 years ago

If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)

Elenna [48]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

3. Let sin 21 = 0.358. What is the value of x for cos x=0.358?

r-ruslan [8.4K]

Answer:

$\cos(69)$

Step-by-step explanation:

We will use the co-function identity for sine, where:

$\sin(x)=\cos(90-x)$

Since sin(21)=0.358=cos(x). This means that:

$21=90-x$

Solve for x. Add x to both sides:

$x+21=90$

Subtract 21 from both sides:

$x=69\textdegree$

Hence:

$\sin(21)=\cos(69)\approx0.358$

6 0

3 years ago