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3 years ago

(Inequalities) what do you have to do when multiplying or dividing by a negative number?

Mathematics

2 answers:

Rashid [163]3 years ago

4 0

Answer:

When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative <u>YOU MUST FLIP THE INEQUALITY SIGN.</u>

Step-by-step explanation:

You are welcome.

And I hope this helps. :)

ipn [44]3 years ago

4 0

Answer:

Step-by-step explanation:

If you begin with an inequality and wish to solve for one of the variables, you must isolate that variable on the right side of a new inequality. Now supposing that that variable is negative in the given inequality, and that you must change that sign to positive. Generally you can either multiply every term in the given inequality by -1 or divide every term by -1. In both cases you must change the direction of the inequality sign.

Example: Given -3x > 2 + 5y, solve for x. To do this, multiply all three terms in the inequality by (-1/3), which yields x on the left and -2/3 - (5/3)y on the right. <em>We must reverse the direction of the inequality sign</em>, so the final answer is x < -2/3 - (5/3)y.

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Sweatshirts were on sale at the local gift shop. The cost to produce the shirts was C=0.4n^2- 32n + 650 where C is cost in dolla

Anna71 [15]

The cost to produce n shirts is given as:

$C=0.4 n^{2} -32n+650$

The cost function is a quadratic function with a positive leading coefficient, so the minimum value will be at the vertex of the function.

The vertex of a quadratic function can be calculated as:

$( \frac{-b}{2a},f( \frac{-b}{2a}))$

a = coefficient of squared term = 0.4
b = coefficient of n term = -32

Using these values, we get:

$- \frac{b}{2a}= - \frac{-32}{0.8}= 40$

This means, the cost will be minimized if 40 t shirts are produced.

The minimum cost can be found by calculating C at n=40

So, the minimum cost will be:

C(40) = 0.4(40)² - 32(40) + 650

C(40) = 10

Therefore, the minimum cost to produce a t shirt will be $10

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3 years ago

Of the 4 people who have signed up for a genetics lecture, 2 have green eyes. Considering this data, how many of the next 10 peo

Feliz [49]

Answer: 5

Step-by-step explanation:

2 of the first 4 people had green eyes which gives us a percentage of 50% so if we apply the same percentage to the next 10 people 5 of them should have green eyes.

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3 years ago

How many complete rotations does the minute hand of a clock make as it moves from 12:00 noon to 4:00 p.m.?

Elenna [48]

Answer:

$4\ rotations$

Step-by-step explanation:

we know that

The minute hand of a clock will make one rotation in one hour

$12:00$ noon to $4:00$ p.m is equal to $4\ hours$

by proportion

Find how many rotations will make in $4$ hours

$\frac{1}{1} \frac{rotation}{hour}=\frac{x}{4} \frac{rotation}{hours} \\ \\ x=4\ rotations$

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3 years ago

Read 2 more answers

An horse gallops 200ft turns and trots 350ft turns again and travels 410ft

bija089 [108]

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

<h3>What is the Heron's formula?</h3>

The Heron's formula is given as;

√s(s-a)(s-b)(s-c)

where s is half the perimeter of the triangle

WE have been given that horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.

Perimeter of the triangle is given as = 200 + 350 + 410 = 960 ft

Semi perimeter = 960 ft/ 2 = 480 ft

Area = √s(s-a)(s-b)(s-c)

Area = √480 (480 -200)(480 -350)(480 -410)

Area = √480 (280)(130)(70)

Area = √480 (2548000)

Area = 34971.98

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

Learn more about the Heron's formula;

brainly.com/question/20934807

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The complete question is

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.

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1 year ago

14. This week, Anita spent 3 1/2 h practicing the piano. She also spent 6 1/4 h at soccer practice and 4 1/3 h on the telephone.

bixtya [17]

A is 9 3/4 hours. 2/4 equals a half so 1/2 +1/4 equals 3/4

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4 years ago