Quadratic inequalities

Describe a real-world situation that can be modeled by the function y=2x-3.

lara [203]

Yes you have a good example.

x = number of cookies

2*x = total amount spent on cookies at $2 each

2x-3 = amount you pay after the $3 discount is applied one time for the entire order

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a more numeric example may be this

Lets say you bought 12 cookies, so x = 12

This means it costs 2*x = 2*12 = 24 dollars total if the discount doesnt apply

However, the 3 dollar discount is there, so the grand total is 24-3 = 21 dollars.

3 0

3 years ago

The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container

pochemuha

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

$V=\frac{3}{4}(r^{3}\pi)$

Where $r$ is the radius.

2. The diameter is:

$D=2r$

3. So, you must solve for the radius in the first equation:

$r=\sqrt[3]{\frac{4V}{3\pi}}$

$r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft$

4. Then, the diameter is:

$D=2(6.94ft)\\D=13.88ft$

8 0

3 years ago

Simplify the expression given below: (18x^3-7)-(14x^3-36)

vovangra [49]

Answer:

2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4

Step-by-step explanation:

6 0

2 years ago

How do you write the equation of a line (in slope intercept form) with three given points?

Mrrafil [7]

With even just two points, you can find the equation of a line in slope-intercept form.

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept

1) Solve for the slope ( $m$ )

The equation to solve for the slope is $m=\frac{y_2-y_1}{x_2-x_1}$ when the two points are $(x_1,y_1)$ and $(x_2,y_2)$ . Plug the coordinates of these points into the equation and solve for $m$ .

Then, plug $m$ into $y=mx+b$ .

1) Solve for the y-intercept ( $b$ )

Then, take any of the given points and plug it into $y=mx+b$ along with the slope. Isolate $b$ to get the y-intercept. Then, plug both m and b back into $y=mx+b$ to get your final equation.

I hope this helps!

3 0

2 years ago

Read 2 more answers

Estes Park Corp. pays a constant $6.95 dividend on its stock. The company will maintain this dividend for the next 12 years and

Brrunno [24]

The present value of an annuity of n periodic payments of P at r% where payment is made annually is given by:

$PV=P \left[\frac{1-(1+r)^{-n}}{r} \right]$

Given that Estes Park Corp. pays a constant dividend of P = $6.95 on its stock. The company will maintain this dividend for the next n = 12 years and will then cease paying dividends forever. If the required return on this stock is r = 10 % = 0.1.

Thus, the current share price is given by:

$Current \ share \ price=6.95 \left[\frac{1-(1+0.1)^{-12}}{0.1} \right] \\ \\ =6.95\left[\frac{1-(1.1)^{-12}}{0.1} \right] =6.95\left(\frac{1-0.3186}{0.1} \right)=6.95\left(\frac{0.6814}{0.1} \right) \\ \\ =6.95(6.813)=\bold{\$47.36}$

Therefore, the current share price is $47.36

5 0

3 years ago