All categories

1 year ago

Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

Mathematics

1 answer:

8_murik_8 [283]1 year ago

4 0

The inverse of the given function is y = √5x + 7/2 - 3

<h3>Inverse of a function</h3>

Given the function expressed below;

5y + 4 = (x+3)² +1/2

5y = (x+3)² - 7/2

y = 1/5(x+3)² - 7/10

Replace y as x

x = 1/5(y+3)² - 7/10

Make y the subject of the formula

5x = (y+3)²- 7/2

(y+3)² = 5x + 7/2

y+3 = √5x + 7/2

y = √5x + 7/2 - 3

Hence the inverse of the given function is y = √5x + 7/2 - 3

learn more on inverse of a function here: brainly.com/question/3831584

#SPJ1

You might be interested in

F(x) = x^2 if the graph is moved 3 spaces to the right for g(x). describe g(x)

daser333 [38]

G(x) = (x-3)^2
it’s vertex is at (3,0)

5 0

2 years ago

The time between calls made to Amazon's customer service is exponentially distributed with a mean of 10 minutes (taken between e

daser333 [38]

Answer:

The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.

Step-by-step explanation:

Let <em>X</em> = time between calls made to Amazon's customer service.

The average time between calls is, <em>β</em> = 10 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10$

The probability distribution function of <em>X</em> is:

$f_{X}(x)=\left \{ {{\lambda e^{-\lambda x};\ x>0}} \atop {0;\ otherwise}} \right.$

Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:

$P(3$

Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.

3 0

3 years ago

Read 2 more answers

21. Angela until the same restaurant four times. Each time she ordered a salad and left at $ 5 tip. She spent a total of $ 54. W

Natalka [10]

So if Angela entered the same restaurant 4 times, we have 4 "instances" of her entering the restaurant.

Each instance, she ordered a salad. The price of this salad is unknown, so we'll say the price is "S".

Each instance, she payed a $5 tip.

So we have 4 instances of spending S, and 4 instances of spending 5.

We know this totals 54.

Knowing all of this information, we can write our equation like this:

4(S + 5) = 54

Divide

S + 5 = 13.50

Subtract

S = 8.50

The cost of salad is $8.50

3 0

2 years ago

Read 2 more answers

Jenna earns $7.75 per hour working at the mall. If Jenna worked 24 1/5 hours last week, how much did she earn before taxes were

Katyanochek1 [597]

24 1/5 is equal to 24.2

Multiply 24.2 by 7.75

24.2* 7.75 = 187.55

So she made $187.55 before taxes

8 0

2 years ago

PLEASE HELP. I need DE AND EF!!!

AlekseyPX

Answer:

DE = about 41.843 (rounded to nearest thousandth)

EF= 34.276 (rounded)

Step-by-step explanation:

For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:

sin(35) = $\frac{24}{x}$

x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:

$\frac{24}{sin(35)}$ = x

You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)

For EF, we can just use Pythagorean theorem now that we know the other sides' values.

EF^2 + 24^2 = DE^2

*a calculator might also be useful for this part.

EF= 34.276 (rounded)

8 0

2 years ago