2.<br><br> What is the slope for both

Solve 6x^2 - 42 = 0 for the exact values of x

GREYUIT [131]

Answer:

The values of x are

$x=-\sqrt{7} , x=\sqrt{7}$

Step-by-step explanation:

we have

$6x^{2}-42=0$

Solve for x

Adds 42 both sides

$6x^{2}-42+42=0+42$

$6x^{2}=42$

Divide by 6 both sides

$6x^{2}/6=42/6$

simplify

$x^2=7$

square root both sides

$x=\pm\sqrt{7}$

therefore

The values of x are

$x=-\sqrt{7} , x=\sqrt{7}$

6 0

3 years ago

Using the formula in model 1, choose the correct answers for the new balance and the amount of interest earned in the following

poizon [28]

Total = Principal * (1 + rate)^years
Total = 650 * (1.08)^14
<span>Total = 1,909.1</span>8

5 0

2 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

2 years ago

| 5t-1 |=6 <br><br> Show all work

kipiarov [429]

Answer:

t = 1.4

Step-by-step explanation:

If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.

The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.

5 0

2 years ago

Read 2 more answers

Please help, due today

patriot [66]

Answer:

I am a little late but here is the answer

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

Non-proportional linear relationships can be expressed in the form y = m x + b

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

Step-by-step explanation:

From Graph :

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

From Equation :

Non-proportional linear relationships can be expressed in the form y = m x + b, where , m is the slope of the line, and b represents the y-intercept.

From Table:

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

4 0

2 years ago

2. What is the slope for both