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3 years ago

Which inequality has -12 in its solution set?

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer:

D) $x+5\leq -4$

Step-by-step explanation:

We solve each of the inequalities

Option A

$x+6$

Option B

$x+4\geq -6$

$x\geq -6-4\\x\geq-10$

Option C

$x-3>-10\\x>-10+3\\x>-7$

Option D

$x+5\leq -4$

$x\leq -4-5\\x\leq -9$

Therefore, only option D has -12 in its solution set.

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(15 points!!) please help!! If you can answer the other questions on my page I will Venmo u!

Anon25 [30]

Answer:

y = (x - 3)² - 4 Vertex form

(3, -4) Vertex

Step-by-step explanation:

f(x) = x² - 6x + 5

Complete the square

y = (x - 3)² + 5 - (-3)²

y = (x - 3)² + 5 - 9

y = (x - 3)² - 4 Vertex form

(3, -4) Vertex

7 0

3 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

3 years ago

HELP PLS<br><br> The function of F is defined by f(x)=x+2<br> find F(n-4)

viktelen [127]

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x + 2

The value of f(n - 4) is given as:

f(n - 4) = n - 4 + 2 = n - 2

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

Find out more on equation at: brainly.com/question/2972832

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6 0

2 years ago

Sonja's credit card has an APR of 21%, calculated on the previous monthly

Leya [2.2K]

Answer: D 87%

Step-by-step explanation:

Ap-ex

8 0

3 years ago

7. Mr. Garcia bought 27 large boxes of chlorine tablets and 33 small boxes of chlorine tablets. Each

AVprozaik [17]

Answer:

$2,487.00

Step-by-step explanation:

27x53= 1431

33x32= 1056

1056 + 1431= 2487

4 0

4 years ago