All categories

3 years ago

Simplify 6x−8y−5x+3y

Mathematics

2 answers:

Serga [27]3 years ago

6 0

X-5y!!!!!!! Good luck

timurjin [86]3 years ago

4 0

Answer:

x-5y

Step-by-step explanation:

6x−8y−5x+3y

(collect like terms)

6x and -5x

x-8y+3y

=x-5y

You might be interested in

Michael has finished 25% of an art project that has taken

Nostrana [21]

It will take him 16 hours. Hope it helps

7 0

3 years ago

Mary bowled six games this week. Her scores were 138,151,198,147,156, and 173. What was her average for those

erica [24]

The average of scores is 160.5

Step-by-step explanation:

Mean is the sum of all values divided by the number of values.

Given scores are:

138,151,198,147,156, and 173

The formula for average score is given by:

$Avg = \frac{Sum}{items}$

Putting values

$Avg = \frac{138+151+198+147+156+173}{6}\\Avg = \frac{963}{6}\\= 160.5$

The average of scores is 160.5

Keywords: Mean, Average

Learn more about mean at:

#LearnwithBrainly

4 0

3 years ago

A rancher wishes to build a fence to enclose a 2250 square yard rectangular field. Along one side the fence is to be made of hea

Bess [88]

Answer:

The least cost of fencing for the rancher is $1200

Step-by-step explanation:

Let x be the width and y the length of the rectangular field.

Let C the total cost of the rectangular field.

The side made of heavy duty material of length of x costs 16 dollars a yard. The three sides not made of heavy duty material cost $4 per yard, their side lengths are x, y, y. Thus

$C=4x+4y+4y+16x\\C=20x+8y$

We know that the total area of rectangular field should be 2250 square yards,

$x\cdot y=2250$

We can say that $y=\frac{2250}{x}$

Substituting into the total cost of the rectangular field, we get

$C=20x+8(\frac{2250}{x})\\\\C=20x+\frac{18000}{x}$

We have to figure out where the function is increasing and decreasing. Differentiating,

$\frac{d}{dx}C=\frac{d}{dx}\left(20x+\frac{18000}{x}\right)\\\\C'=20-\frac{18000}{x^2}$

Next, we find the critical points of the derivative

$20-\frac{18000}{x^2}=0\\\\20x^2-\frac{18000}{x^2}x^2=0\cdot \:x^2\\\\20x^2-18000=0\\\\20x^2-18000+18000=0+18000\\\\20x^2=18000\\\\\frac{20x^2}{20}=\frac{18000}{20}\\\\x^2=900\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{900},\:x=-\sqrt{900}\\\\x=30,\:x=-30$

Because the length is always positive the only point we take is $x=30$ . We thus test the intervals $(0, 30)$ and $(30, \infty)$

$C'(20)=20-\frac{18000}{20^2} = -25 < 0\\\\C'(40)= 20-\frac{18000}{20^2} = 8.75 >0$

we see that total cost function is decreasing on $(0, 30)$ and increasing on $(30, \infty)$ . Therefore, the minimum is attained at $x=30$ , so the minimal cost is

$C(30)=20(30)+\frac{18000}{30}\\C(30)=1200$

The least cost of fencing for the rancher is $1200

Here’s the diagram:

3 0

3 years ago

Please help me! I need this answered fast!

ArbitrLikvidat [17]

Answer:

Question 1: A

Question 2: C

Step-by-step explanation:

The answer to question 1 is A. I know this is correct because Max needs to earn 108 dollars for the headphones he wants so the amount of money he earns per hour which is 15, times the amount of hours he needs to work which is x has to be greater than 108. So, the inequality equation has to be 15x > 108 which is answer A.

The answer to question 2 is C. I know this is correct because Felicia has 2 sisters which make 3 sisters in total to pay for the gift. They all pay evenly, so the first part of the equation would be 3x. The cost for the gift is less than 80 dollars, so we write the inequality equation like 3x < 80 which is answer C.

7 0

3 years ago

Express the series using sigma notation 5 - 10 + 20 - 40 + 80 - ...

Ilia_Sergeevich [38]

Step-by-step explanation:

I think 160! I don't know it true or not

8 0

3 years ago