The length of the carpet is 2a2 and width is 3a. Find the area of the carpet.
HELP ME PLEASE

The value of 3f(x) + 2g(x) = -5x - 2

Given f(x) = -3x, g(x) = 2x-1 are the two functions

then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)

Now find

3f(x) = 3(-3x) = -9x            -----------(i)

2g(x) = 2(2x-1)

        = 2(2x)-2(1)                        

2g(x) = 4x-2                     ----------(ii)

Now, add the above two equation (i) and (ii)

3f(x) + 2g(x) = -9x + 4x - 2  

                   = -5x-2  

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Answer:

b. C and D are independent

c. A and D are independent

e. B and D are independent.

Step-by-step explanation:

The mutually exclusive events are one which cannot happen together. The event A and B are mutually exclusive events. These two cannot happen together . The independent events are those which can happen solely and their existence is not based on any other event.

Answer:

79

Step-by-step explanation:

So we have the function:

[tex]g(t)=t^2-2[/tex]

To find g(9), substitute 9 for t. Thus:

[tex]g(9)=9^2-2[/tex]

Square:

[tex]g(9)=81-2[/tex]

Subtract:

[tex]g(9)=79[/tex]

So, our answer is 79.

And we're done!

Answer:

300

Step-by-step explanation:

every time you're multiplying ten just add a zero at the end of the number your multiplying.

Answer:

30x10=300

sorry if im wrong-

Answer:

The Eagles: 18.75

Step-by-step explanation:

The Mean of the wildcats: 15

The Mean of the Knights: 16.25

The Mean of the Eagles: 18.75

Answer: 17:20

Step-by-step explanation:

7 is 3 away from 10, 17 is 3 away from 20, hope this helps

Answer:

B

Step-by-step explanation:

The length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple is 29.

Pythagorean triples are represented as the triple (a, b, c) where a represents the perpendicular side, b represents the base and c represents the hypotenuse.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

c² = a² + b²

Here a = 20, b = 21 and c = x.

x² = 20² + 21²

x² = 841

x = √841 = 29

Hence the length of the hypotenuse, x, is 29.

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Answer:

He received $6.40 in change.

Explanation:

Since he bought 2.25 pounds, you multiply that by 1.6 to get a sum of 3.6. Since he paid with a ten dollar bill, and he only has to pay 3.60, they will give him back 6.40 in change.

Hope this helped :)

Answer:

963.584 is the answer.

Step-by-step explanation:

Check the image above dear....

Answer:

[tex]1.8844674407\times 10^1^9[/tex]

Step-by-step explanation:

[tex]\mathrm{Refine\:to\:a\:decimal\:form}\\=1.84467\dots E19[/tex]

Answer:

12π cubic inches

Step-by-step explanation:

Volume  = (4/3)πr^3

V = (4/3)π9

V = (36/3)π

V = 12π

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{m+2}{(m-4)^2}[/tex] - [tex]\frac{m-2}{(m-4)^2}[/tex]

Since the denominators are common then express as a single fraction

= [tex]\frac{m+2-(m-2)}{(m-4)^2}[/tex]

= [tex]\frac{m+2-m+2}{(m-4)^2}[/tex]

= [tex]\frac{4}{(m-4)^2}[/tex] → A

Answer:

15 ounce bag is cheaper per ounce than 9.75 ounce bag.

Step-by-step explanation:

For this problem, you should simply take the cost divide by the size for each to find the price per ounce.

$3.98 / 15oz == $0.265 per ounce

$2.98 / 9.75oz == $0.306 per ounce

Note that the 15 oz bag is a better price per ounce than the 9.75 oz bag.

As to what bag you should buy, that really should depend on more factors than just what's best per ounce.  For instance, are you really hungry enough for 15 ounces of doritos, or will 9.75 do just fine?  Also, do you even have the extra dollar it would cost to buy the bigger bag?  Just some stuff to think about.

Cheers.

Answer:

No answer. See below.

Step-by-step explanation:

This number is in the ten-thousands, so it has 5 digits.

Let the number have the form

abcde, where

a = ten-thousands digit

b = thousands digit

c = hundreds digit

d = tens digit

e = ones digit

"my ones digit is 2 more than my thousand digit."

e = b + 2

"the sum of my ones and thousand is my hundreds digit."

e + b = c

"3 less that my hundreds digit is my tens digit."

c - 3 = d

"my Hundreds thousand and ten thousand are the same."

c = b = a

We have 4 equations:

e = b + 2

e + b = c

c - 3 = d

c = b = a

Using the last equation, replace every c and b with a in the first 3 equations.

e = a + 2

e + a = a

a - 3 = d

Using the second equation, subtract a from both sides.

e = 0

Substitute e = 0 in the first equation.

0 = a + 2

a = -2; b = -2; c = -2; d = -5

Since a digit cannot be negative, there is a problem with this question.

Please check your question and correct the post.

Answer:

Answer:

x=3/5

Step-by-step explanation: first you collect like terms and move the constant to the right and then calculate and divide both sides

Answer:

B(7,10)

Step-by-step explanation:

[tex]M(5,7)=(x ,y)\\A(3,4)=(x_1,y_1)\\B(x_2,y_2)\\\\Endpoint ;\\x = \frac{x_1+x_2}{2}\\ \\5 = \frac{3+x_2}{2}\\ Cross\:Multiply\\5\times 2 =3+x_2\\10=3+x_2\\10-3 =x_2\\7=x_2\\\\\\y = \frac{y_1+y_2}{2} \\\\7 = \frac{4+y_2}{2}\\ Cross\:Multiply\\7\times 2 =4+y_2\\14 =4+y_2\\14-4 =y_2\\10 =y_2\\\\\\B(7,10)[/tex]

Answer:

p divided by five plus two times ten

Step-by-step explanation:

p divided by five plus two times ten

YOur question has been heard loud and clear.

p/5 + 210 =  p + 1050 / 5

Thank you

Answer:

B) f(x) = -1 if x ≤ 0

             2 if x > 0

Step-by-step explanation:

B) f(x) = -1 if x ≤ 0

             2 if x > 0

The answer is 410°

You have to multiply 17x20 and then add 70 because that’s the initial temp.

Answer

Temp after 17 minutes: 340

Temp after t minutes: 20t+70

Step-by-step explanation:

=======================================================

Explanation:

Ignore the "45" and "59" as they aren't used in this problem. The year numbers don't matter either.  These numbers are either thrown in as filler or distraction.

We're basically being asked "we started with 21,495 and increased by 82%, what is the new value?"

Take 82% of this to get 0.82*21495 = 17,625.9 which rounds to 17,626 since it doesn't make sense to have a decimal or fractional portion of a person. So the number of workers has increased by about 17,626 people.

Add this to the original amount to get 21,495 + 17,626 = 39,121 which is the answer

--------------

As a shortcut, you could multiply 21495 by 1.82 to indicate an 82% increase

1.82*21495 = 39,120.9 which rounds to 39,121

Answer:

40,000+300×

Step-by-step explanation:

300× × + the 40,000

2 1/4 miles => 1 week

1 mile => 1 ÷ 9/4

( 9/4 is an improper fraction of 2 1/4 )

12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2

= 50/9

= 5 5/9 weeks

( 25/2 is an improper fraction of 12 1/2 )

Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.

( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )

Answer:

Step-by-step explanation:

6(2x - 3)

GCF: 6

Answer:

The amount deposited in the savings account is $11,494.12

The amount deposited in the CD account is $13,505.88

Step-by-step explanation:

Firstly, let’s calculate the amount of interest;

Interest = Amount at end of 10 years - amount deposited= 31,648 -25,000 = 6,648

Let the amount deposited in the savings account be $x while the amount deposited in the CD account be $y

Mathematically;

x + y = 25,000 ••••••••••(i)

Now the formula for simple interest is;

PRT/100

where P is the amount deposited, r is the rate and T is the time

On the savings account, amount of interest generated will be;

(x * 2.2 * 10)/100 = 22x/100

On the CD act, amount of interest generated will be;

(y * 3.05 * 10)/100 = 30.5y/100

The addition of both give the total interest;

22x/100 + 30.5y/100 = 6648

Multiply through by 100

22x + 30.5y = 664800 •••••••(ii)

From i, x = 25,000 - y

Substitute this into ii

22(25000-y) + 30.5y = 664800

550,000 -22y + 30.5y = 664,800

8.5y = 664,800-550,000

8.5y = 114,800

y = 114,800/8.5

y = $13,505.88

x = 25,000 -y

x = 25,000 - 13,505.88

x = $11,494.12

Answer:

First consider the term of highest degree, that is the First term in standard form so now

the term of highest degree in

f(x) is 8x³

So which is of odd degree with positive leading coefficient

∙so as. X-->- ∞ f,(x) ---> -∞

Still the same

X--> ∞ f,(x) ---> +∞

And the graph will be as below after substituting

graph{8x^3-3x^2-5x+8 [-20, 20, -10, 10]}