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Factorial Expressions

Consider the first blank is the green box.

Given:

The equations are

[tex]3x+2y=9[/tex]

[tex]-x-2y=4[/tex]

To find:

The value belongs in the green box

Solution:

We have,

[tex]3x+2y=9[/tex]        ...(i)

[tex]-x-2y=4[/tex]        ...(ii)

Adding (i) and (ii), we get

[tex]3x+2y-x-2y=9+4[/tex]

[tex](3x-x)+(2y-2y)=13[/tex]

[tex]2x+0=13[/tex]

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

Answer:

2x + 0 = 13

Step-by-step explanation:

To add the equations, we add the corresponding terms on both sides of the equal sign.

The given equations:

3x + 2y = 9

-x - 2y = 4

Adding the equations term by term:

(3x + (-x)) + (2y + (-2y)) = 9 + 4

Simplifying the equation:

2x + 0 = 13

The term "0" in the equation indicates that the terms (2y and -2y) cancel each other out when added.

Answer:

Step-by-step explanation:

In order for Forest to decide how many cans of paint to buy he first needs to know how many square feet make up the wall that he wants to paint. He can calculate this by multiplying the length of the wall by the height of the wall. That will give him the square footage of the wall which can be represented as x in the following formula. Now that he has that, he needs to divide this value by 150 which is what each can of paint covers. The answer will be the number of cans that Forest should buy.

x / 150 = number of cans

The numbers of cans of paint he should buy can be calculated as follows :

x / 150.

where

x = Area of the wall needed to be painted in square feet.

Forest needs to paint the right side of his house because of sunlight and

rain.

According to his analysis each can of paint will cover an area of 150 ft².

This simply means for every 150 square feet of his wall, he will require 1

can of paint.

The number of paint he should buy can be determined as follows:

let

x = area of the right side of his wall needed to be painted

The number of can required = x / 150

learn more; https://brainly.com/question/11560953?referrer=searchResults

Answer:

a²

c¹

Step-by-step explanation:

a^5/a^3 = a^(5-3) = a²

c^4/c^3 = c^(4-3) = c¹

Answer:

I think the answer is m= -91

Answer:

-8<8

1,3>-1,2

-5<0

0<4

0>-0,1

3<5

3,2>3,12

zero es mas grande que los numeros negativos

Answer:

3 is equvalent...........

The expressions which are equivalent are; 1/3 - 2/1 and -1 2/3

According to the question;

The equivalent expressions are; 1/3 - 2/1 and -1 2/3.

Upon evaluation; 1/3 - 2/1;

Read more on equivalent expressions;

https://brainly.com/question/11258067

Answer: 3. Infinitely many solutions

Step-by-step explanation:

If you simplify the first equation you get the same equation of y=-2 which is infinitely many solutions

Answer:

[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]

Step-by-step explanation:

Distance between the two trains is 125 miles.

So, when they will collide they would have covered a distance of 125 miles together.

The time that will pass for both the trains will be same but the distances covered will be different as their speeds are different.

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

[tex]25t+20t=125\\\Rightarrow t=\dfrac{125}{45}\\\Rightarrow t=\dfrac{25}{9}\ \text{hours}=\dfrac{25}{9}\times 60\times 60=10000\ \text{s}=166.67\ \text{minutes}\\\approx 167\ \text{minutes}\\=166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]

[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]

Answer:

G

Step-by-step explanation:

I hope this helps, have a great day:) God bless you!

Answer:

g

Step-by-step explanation:

bc you go from -2 then up the Y axis 3 times and its g

Answer:

y=-3x

Step-by-step explanation:

THe equation formula is y=mx+b, with m being the slope and b being the y-intercept. Because the y intercept is 0, you don't need to include it.

Answer:

The answer is 65.75

Step-by-step explanation:

Since tq is perpendicular to PR then qtsr becomes square

Then

[tex]qr = 30 \: \: \: \: \: and \: qt = 30 \\ [/tex]

Since the triangle pqt is right angled

Then

[tex]pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75[/tex]

Then the height of the pole is equal to

[tex]pq + qr = 35.75 + 30 = 65.75[/tex]

Answer: someone told me its 35 so...

Step-by-step explanation:

Answer:

Step-by-step explanation: Since there are 7 people who shake hands with everybody including the people who know each other, we can add 11+10+9+8+7+6+5, because each handshake counts once, but the other five can't be counted because they are the people who already know each other and if you add 11+10+9+8+7+6+5, you will also get 16*3 +8 which equals to 56.

Answer:

277.778 m/s

Step-by-step explanation:

just divide by 3.6

Answer: 2/15

Step-by-step explanation:

firstly divide lcm by denominator 1 = 15/5 = 3

then multiply by 3 nominator = 4*3 = 12

then divide lcm by denominator 2 = 15/3= 5

Multiply by 5 nominator = 5*2 = 10

lastly 12-10/15 ( both answer upon lcm)

2/15

Answer:

4/3 or 1 1/3

Step-by-step explanation:

2/3 x 2/1 gets you 4/3

That's an improper fraction, so you can simplify it to 1 1/3 if necessary.

Answer:

x= 20

AD= 23

DC= 23

AC= 46

Step-by-step explanation:

because it's a median that means that x+3=2x-17 solve for x and get x=20 which (I think) means that AD, DC= 23 and that AC= 46

Answer:

84 divided by 7 is 12 + 6 = 18

Answer:

C. 4,900 = m times 5,000

Step-by-step explanation:

Total books = 5,000

Fiction = 4,900

Calculations:

[tex]5,000. \frac{x}{100} =4,900[/tex]

[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]

[tex]\frac{x}{100} =0.98[/tex]

[tex]x=98[/tex]

Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%

Therefore, 4,900 is 98% of 5,000.

So 5,000 x 98% = 4,900

And the equation that matches that is C.

2÷100=0.02

1500×0.02=30

30×3=90

Answer:

£90

Step-by-step explanation:

Simple interest (I ) is calculated as

I = [tex]\frac{PRT}{100}[/tex] ( P is principal, R is rate of interest and T time in years )

Here P = 1500, R = 2 and T = 3 , then

I = [tex]\frac{1500(2)(3)}{100}[/tex] = 15 × 2 × 3 = 30 × 3 = £90

Answer:

peeeeeepppppssssss

Step-by-step explanation:

wussup

Answer:

[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4*3^x[/tex]

Required

Write as a recursive function

Substitute 1 for x.

[tex]f(1) = 4*3^1 = 4 * 3 = 12[/tex]

[tex]f(2) = 4*3^2 = 4 * 9 = 36 = 12 * 3[/tex]

[tex]f(3) = 4*3^3 = 4 * 27 = 108 = 36 * 3[/tex]

Following the above pattern:

[tex]f(n) = T_{n-1} * 3[/tex]

[tex]f(n) = 3T_{n-1}[/tex]

Hence, the recursive function is:

[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]

Answer:

y = -1

Step-by-step explanation:

-4 (y - 2) = 12

1. Multiply: -4y + 8 = 12

2. Subtract: -4y = 4

3. Divide: y = -1

Answer:

80

Step-by-step explanation:

360 - (110+80+90) = 80

Answer:

80°

Step-by-step explanation:

360-110-90-80

Angles outside a circle add up to 360°

Answer:

3. <0, <BOA, <ABO

45

4. <E, <NED,<DEN

80

here you guess and judge by your basic knowledge of angles and guess the angle measurement. and as far as the angle names with three points there should be three names and so the angle you are measuring must always be in the middle and ya :))

Circumference

[tex]\\ \tt\hookrightarrow 2\pi r[/tex]

[tex]\\ \tt\hookrightarrow 2(3.14)(4)[/tex]

[tex]\\ \tt\hookrightarrow 6.28(4)[/tex]

[tex]\\ \tt\hookrightarrow 25.12in[/tex]

Answer:

Radius of the circle=4 in

Circumference=?

We know that,

[tex] \purple{Circumference_{(circle)}=2πr}[/tex]

[tex] \displaystyle\purple{Circumference_{(circle)}=2 \times 3.14 \times 4}[/tex]

[tex]\purple{Circumference_{(circle)}=6.28 \times 4}[/tex]

[tex]\purple{Circumference_{(circle)}=25.12 \: in.}[/tex]

Answer:

Step-by-step explanation:

1 in = 2.54 cm

Part (a)

Answer: 8.268 in

Part (b)

Answer: 11.693 in

Part (c)

In SI units standard-sized paper is 21.0 cm by  29.7 cm, which is equivalent to 8.268 in by 11.693 in.

Answer: 8.268 in by 11.693 in.

Part (d)

The U.S sized standard paper is 8.0 in by  11.0 in. Therefore the SI (internationally) sized paper is longer.

Part (e)

If the U.S> adopts the SI standard for letter-sized paper, both the width and length of standard paper will have to be increased. Therefore letter-sized paper will occupy a larger area and will be heavier if the thickness and density do not change.