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anyanavicka [17]

2 years ago

5

How to graph inequalities

1 answer:

marusya05 [52]2 years ago

4 0

Step-by-step explanation:

First solve for y

given equation is 3x-2y ≥ 12

subtract 3x on both sides of the equation which would result with: -2y ≥ 12-3x

divide by -2 on both sides of the equation, flip the sign to ≤ because you are dividing by a negative, then you should get the result y<u> </u><u>≤</u><u> </u>-6 + 3x/2 (should look like a fraction)

y-intercept is at -6

slope is 3/2 (or three halves)

start at -6 on the y-axis, go up 3 across 2 and plot your point, keep repeating when going up and down the graph

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A Campus Republicans fundraiser offers raffle tickets for $10 each. The prize for the raffle is a $425 television set, which mu

Anon25 [30]

Answer:

The profit equation would be: Profit = 10t - 425. To break even, 43 tickets must be sold, rounded up to the nearest whole number.

Step-by-step explanation:

Tickets = 10 * t, or $10 dollars per ticket

Prize = $425

Profit = (10 * t) - 425

Break-even is when the Function value would be Zero. This can be found by dividing the dollar amount by 10 to get 42.5 tickets or 43 tickets. After 43 tickets sold, the rest is profit.

The equation would be:

Profit = 10t - 425

A negative value would represent a net loss.

8 0

2 years ago

Please answer please

deff fn [24]

Answer:

x=16°

Step-by-step explanation:

Soh-Kah-Toa

you will use Toa

that's tangent = $\frac{opposite}{adjacent}$

tan-1( $\frac{10}{36}$ )=15.524111

*it's negative because you're solving for an angle

*round to the nearest degree

so, x=16°

6 0

2 years ago

The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2

Otrada [13]

Width=20.108 yrd and Length=43.216 yrd

Step-by-step explanation:

Let width = w

Length =3+2w

Area = 869 yrd^2

We need to find length and width of rectangle.

The formula used is:

$Area= length*width$

Putting values:

$Area= length*width$

$869= (3+2w)*(w)$

$869= 3w+2w^2$

$2w^2+3w-869=0$

Using quadratic equation to find value of width w:

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a=2, b=3 and c=-869

$w=\frac{-3\pm\sqrt{(3)^2-4(2)(-869)}}{2(2)}$

$w=\frac{-3\pm\sqrt{6961}}{4}$

$w=\frac{-3\pm 83.4}{4}$

$w=\frac{-3+83.4}{4}\,\,and\,\,w=\frac{-3-83.4}{4}$

$w=20.108\,\,and\,\,w=-21.6$

Since width can't be negative so, width w=20.108

Length will be: L=3+2w = 3+2(20.108)=3+40.216=43.216

So, Width=20.108 yrd and Length=43.216 yrd

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

4 0

2 years ago

In 1992, South Dakota's population was 10 million. Since then, the population has grown by 1.4% each year. Based on this, when w

ella [17]

Answer:

49.9 years or 50 years later.

At year : 2042

Explanation:

use compound interest formula: $\sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}$

$\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20$

$\rightarrow \sf ( 1.014) ^n = 2$

$\rightarrow \sf n( ln( 1.014) ) = ln(2)$

$\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}$

$\rightarrow\sf n = 49.8563 \ years$

8 0

1 year ago

Read 2 more answers

Christian can paint a car in 6 hours. Carter can paint the same car in 3 hours. If they work together, how long will it take to

just olya [345]

It would take them 2 hours to paint the whole car

5 0

2 years ago

Read 2 more answers