Find an expression for the number of colored border tiles needed for any N x N square center.

Answer: x= -2

Step-by-step explanation: 1.) use PEMDAS

2.) distribute the 1 and -1 to (x+4) and (3x+6) --> 1+x+4 = -3x-6+1

3.) Put common terms on the same side (so x's together and the numbers together) so you will add 3 to the right side and add 3x to the left side

4.) that will get you 4x = -8 so then you will divide 4 to both sides to get x by itself

5.) Answer: x=-2

5.)

Answer:c

Step-by-step explanation:

7x - 5 is the factor of 21x²+13x-2.Option B is correct.

An equation is a statement indicating the equality of two expressions that contain variables and/or numbers. In essence, equations are questions, and the pursuit of methodically resolving these questions has been the impetus for the development of mathematics.

It is given that, the expression is 21x²+13x-2.

We have to find the factor of the expression.

Algebraic expression factorization is the process of identifying two or more expressions whose product equals the given expression. Algebraic expression factorization is hence the multiplication procedure in reverse.

[tex]=21x^2+13x-20 \\\\ =\left(21x^2-15x\right)+\left(28x-20\right) \\\\ =3x\left(7x-5\right)+4\left(7x-5\right) \\\\ =\left(7x-5\right)\left(3x+4\right)[/tex]

The factors of the expression are (7x-5) and (3x-4).

Thu option B is correct.

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Answer:

0.08 pounds per pint.

Step-by-step explanation:

Given: The density of a certain material is such that it weighs 10 ounces per gallon.

We are to express this density in pounds per pint.

1 gallon ⇒ 10 ounces

1 pound = 16 ounces

How many pounds? = 10 ounces.

Cross-multiplying gives;

[tex]\frac{10 * 1}{16} = 0.625[/tex] pounds

1 gallon = 8 pints

The density in pounds per pint is;

0.625 pounds ÷ 8 pints = 0.078125 pounds per pint = 0.08 pounds per pint (answer rounded up to the nearest hundredth).

Answer:

Hey there!

a.

50=28.10+0.15m

Subtract 28.10

21.90=0.15m

Divide by 0.15

m=146

Jacob can send 146 messages.

b.

50=36.50+0.10m

Subtract 36.50

13.5=0.10m

Divide by 0.10

m=135

Roberto can send 135 messages.

Let me know  if this helps :)

Answer:

  A- When they are inverse functions

  C- when they are equal for all values of x

Step-by-step explanation:

The order of function application in a composition can be reversed if ...

_____

In the first case, the composition gives an output equal to its input for the functions in either order.

In the second case, you cannot tell the functions apart, since they produce the same output for the same input. Hence, you can't tell if they are reordered or not.

Answer:

5/4, just sub in x

Step-by-step explanation:

Answer: All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. So its Rational.

:)

Answer:

17 is an irrational number.

Step-by-step explanation:

17 is a prime number with no factors other than itself and 1 therefore minus square root of 17 is an irrational number.

Answer:

the greatest common factor is 5^2 * 7^3

(I think!!!)

Answer:

Step-by-step explanation:

graph cannot be drawed

Answer:

• First attachment's graph is correct

• Second attachment, the area is approximately 8.6

Step-by-step explanation:

Remember that the area between two curves is defined as the following:

[tex]\mathrm{The\:area\:between\:curves\:is\:the\:area\:between\:curve\:f(x)\:and\:curve\:g(x)\:on\:interval\:[a,b]} :\\A=\int _a^b|f\left(x\right)-g\left(x\right)|dx[/tex]

We are given the curves y = 7cos(2x), and y = 7 - 7cos(2x) on interval [0, π/2]. Therefore, applying the area formula, we have the solve the following integral:

[tex]\int _0^{\frac{\pi }{2}}\left|7\cos \left(2x\right)-\left(7-7\cos \left(2x\right)\right)\right|dx[/tex]

From now on take a look at the attachment. It shows how to solve the integral, and it's exact value. The area is not 9.727 as you entered, it is approximately 8.6. Your graph however was accurate, but there can be no work shown for that as it's much easier to use a graphing calculator.

Answer:

n=8

Step-by-step explanation:

[tex]-8=-16+n\\\\-8+16=-16+16+n\\\\8=0+n\\\\n=8[/tex]

Answer:

Step-by-step explanation:

-8=-16+n            

-8(+16)=-16(+16)+n    get "n" by itself by adding 16 to both sides.

      negative eight plus sixteen is positive eight. on the right side the sixteens cancel eachother out, so you are left with just "n".  

Therefore...,

8=n

Answer:

p = -2/67

Step-by-step explanation:

We divide 67 on both sides.

-2 / 67 = -2/67

67p / 67 = p

We got p = -2/67

Hope this helps.

Answer:

Coplanar

Step-by-step explanation:

The car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

Your car can drive 300 miles on a tank of 15 gallons

300 miles → 15 gallons

Let x be the number of miles or distance a car travel in 40 gallons

x → 40 gallons

300/x = 15/40

x = (300×40)/15

x = 800 miles

Thus, the car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

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Answer:

[tex] d = 9.4 units [/tex] (nearest tenth)

Step-by-step explanation:

Given the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], distance between (-4, 5) and (4, 0) is calculated as follows:

Let [tex] (-4, 5) = (x_1, y_1) [/tex]

[tex] (4, 0) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(4 - (-4))^2 + (0 - 5)^2} [/tex]

[tex] d = \sqrt{(8)^2 + (- 5)^2} [/tex]

[tex] d = \sqrt{64 + 25} [/tex]

[tex] d = \sqrt{89} [/tex]

[tex] d = 9.4 units [/tex] (nearest tenth)

Answer:

g = 0.83

Step-by-step explanation:

11(15g-13) =-6

165g - 143 = -6

165g = 137

165      165

g = 0.83

The solution of the given equation 11(15g-13) = -6 is g = 0.83

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

11(15g-13) = -6

To solve the above equation following steps are taken,

Divide both the side of the equation by 11

11(15g-13)/11 = -6/11

Solving them we get,

15g - 13 = -6/11

Adding 13 both the sides,

15g - 13 + 13 = -6/11 + 13

So we obtain,
15g  = -6/11 + 13

Solving the numbers right hand side,we get

15g = 137/11

Dividing both the sides by 15 we get,

g = 137/165

or, g = 0.83

Hence,The solution of the given equation 11(15g-13) = -6 is g = 0.83

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If 5 's multiplied many times then always unit digit will be 5.

If power of 2 is divide by 4 then , if remainder is zero then unit digit will be 6 and if remainder is 1 then unit digit will be 2 , if remainder is 2 then unit digit will be 4 and if remainder is 3 then unit digit will be 8.

First here we analyse when many of 2's is multiplied.

[tex]2^{1} =2\\2^{2} =4\\2^{3}=8\\2^{4} =16\\2^{5} =32\\2^{6}=64[/tex]

Here , we observed that after [tex]2^{4} =16[/tex] , unit digit will be repeat.

So, If power of 2 is divide by 4 then , if remainder is zero then unit digit will be 6 and if remainder is 1 then unit digit will be 2 , if remainder is 2 then unit digit will be 4 and if remainder is 3 then unit digit will be 8.

Now, analyse when many of 5's multiplied.

[tex]5^{1}=5 \\5^{2}=25\\5^{3}=125[/tex]

So, When  5 's multiplied many times then always unit digit will be 5.

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Answer:

Step-by-step explanation:

You can  calculate the length of side a using the Cosine Rule:

a^2 = 32.6^2 + 41.4^2 - 2.32.6.42.4 cos pi/6

a^2 = 456.01

a = √456.01

a = 21.35

By the Sine Rule:

32.6 / sin B = 21.35 / sin pi/6

sin B =  (32.6 * sin pi/6) / 21.35

sin B = 0.76347

B = 0.869 radians.

C = pi - pi/6 - 0.869 = 1.749 radians.

the result of this problem is 1009.479

Answer:

  y = 1/2x -4

Step-by-step explanation:

Subtract 1 from both sides of the equation and simplify.

  y = 1/2(x -6) -1

  y = 1/2x -3 -1

  y = 1/2x -4

Answer:

y=1/2x-4

Step-by-step explanation:

y+1=1/2(x-6)

y=1/2(x-6)-1

y=1/2x-6/2-1

y=1/2x-3-1

y=1/2x-4

Answer:

Step-by-step explanation:

12x - 20 = 2x  -16 - 6x

12x - 20 = -4x - 16

16x - 20 = -4x

20x = 20

x = 1

Answer:

7(45)=7(40)+7(5)

Step-by-step explanation:

We need to represent 7(45) using the distributive property to simplify.

We can write 45 as 40+5

So it becomes,

7(45) = 7(40+5)

Distributive property is : a(b+c)=ab+ac

a=7, b = 40 and c = 5

7(40+5)=7(40)+7(5)

So, the correct option is (4).

Answer:

240 ft

Step-by-step explanation:

When she stops, her velocity is 0.  The first time that happens is at t = 3 minutes.  Her position at that time is equal to the area under the curve.

You can use area of a trapezoid, or you can split the shape into two triangles and a rectangle.  Watch your units!  Speed is given in ft/s, and time is given in minutes.

Using trapezoid area:

A = ½ (1 min + 3 min) (2 ft/s)

A = ½ (60 s + 180 s) (2 ft/s)

A = 240 ft

Answer:-3

-3

Step-by-step explanation:

Answer:

the first blank is 9 and the second is 8. when you switch the numbers in the equation the answer will still be the same. hope this was helpful!

Answer:72 is 8 times as many as 9 and 9 times as many as 8

Step-by-step explanation:

Answer:

The answer is 0

Step-by-step explanation:

It's between -1 and 1 and it's not positive only and it's not negative only

Answer:

C: -3/7

Step-by-step explanation:

Put an extended line over each direct point you see and then count the graph it takes to reach the nearest point.

Here is a picture to better explain it!

Answer:

Step-by-step explanation:

9g - 7g + 18 = 8

2g + 18 = 8

2g = -10

g = -5

Answer:

First backpacker should receive $4 and the second one $2

Step-by-step explanation:

notice that the total amount of rice for the three is 600 g.

Then, the first one that gave 400 g contributed 400 out of 600, that is 400/600 = 2/3

The second one contributed 200 out of 600, that is 200/600 = 1/3

then the first one should receive 2/3 of the $6 = (2/3) x 6 = $4

and the second one should receive 1/3 of the %6 = (1/3) x 6 = $2

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is:

[tex]M=(\frac{x_1+x_1}{2},\frac{y_1+y_2}{2})[/tex]

Let (5,6) be x₁ and y₁ and let's let (9,2) be x₂ and y₂. Thus, the midpoint is:

[tex]M=(\frac{5+9}{2},\frac{6+2}{2})[/tex]

Add:

[tex]M=(\frac{14}{2},\frac{8}{2})[/tex]

Divide by 2:

[tex]M=(7,4)[/tex]

So, our midpoint is (7,4).

And we're done!