I need to know how to solve these using the box method

Hey there!

5x + 30

5(x + 6)

= 5(x) + 5(6)

= 5x + 30

5x + 30 = 5x + 30

Therefore, the answer should be:

5(x + 6)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).

Simplified form of a term is the simplest way of expression the term, which is obtained  by applying the required operations of mathematics.

Factorial is the way to write the product of the numbers from its phase value to 1 in decreasing order. Suppose, the number is 3!. Then it can be written as,

3!=3×2×1

The expression which has to be simplified is,

6! - 3!

It can be written as,

6! - 3!

(6×5×4×3!)-3!

3!((6×5×4)-1)

Thus, the simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6! - 3!}\\\mathsf{\approx 6(5)(4)(3)(2)(1) - 3(2)(1)}\\\mathsf{\approx 30(4)(3)(2)(1)- 6(1)}\\\mathsf{\approx 120(3)(2)(1) - 6}\\\mathsf{\approx 360(2)(1) - 6}\\\mathsf{\approx 720(1) - 6}\\\mathsf{\approx 720 - 6}\\\mathsf{\approx 714}\\\mathsf{\approx 3!((6\times5\times4) - 1)}[/tex]

[tex]\huge\text{Answer: \boxed{\mathsf{3!((6\times5\times4) - 1)}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

90

Step-by-step explanation:

I say 90 because 24 is just a little higher than 1/4 of 80 and since 1/4 of 300 is 75, 90 is the best estimate based off the sample survey. Hope this helps!

Step-by-step explanation:

remember the rules of exponents.

a "minus" sign means 1/...

like 2^-1 = 1/2

and 2^-3 = 2^(3(-1))

so, it is 1/2³ = 1/8.

so, now here in our case

y = 3×(1/2)^-2 = 3×(1/2)^(2(-1)) = 3×((1/2)²)^-1 = 3×(1/4)^-1 =

= 3× 1 / 1/4 = 3×4 = 12

Answer:

Startup Capital

Step-by-step explanation:

The startup capital is the money raised by a new company in order to meet its initial costs. Entrepreneurs would need to form a solid business plan or create a prototype in an attempt to sell their concept, which would help them gain startup capital.

Answer:

im passing this concept trust me the anser is airplane B

Step-by-step explanation:

Answer:

16 i think

Step-by-step explanation:

Answer:

104 square inches .............

Answer:

a.90 b.54

Step-by-step explanation:

40%=0.4 number of t-shirt in her dresser

Total number of t-shirt is 100%

=1.0

let x be the total number of t-shirt

0.4=36

1.0= x

0.4x=36

dividing both sides by 0.4

x=90

b. 90-36=54 t-shirts

Answer:

Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8

Step-by-step explanation:

1. Sort the numbers in numerical order (like 1, 2, 3, etc.)2. Find the number that is in the middle3. Find all the quartiles by finding the median of the lower and upper halves of the list4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR

The axis of symmetry of the quadratic equation is [tex]x = \sqrt 6[/tex]

One of the root is given as:

[tex]x = -2 - \sqrt 6[/tex]

As a general rule, the solution to a quadratic equation is represented by:

[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

This means that the actual root of the given root is:

[tex]x = -2 \pm \sqrt 6[/tex]

So, the other root is:

[tex]x = -2 + \sqrt 6[/tex]

Subtract both roots and divide it by 2 to determine the axis of symmetry

[tex]x = \frac{|-2 - \sqrt 6 + 2 - \sqrt 6|}{2}[/tex]

Evaluate

[tex]x = \frac{|-2\sqrt 6|}{2}[/tex]

Remove the absolute sign

[tex]x = \frac{2\sqrt 6}{2}[/tex]

Divide

[tex]x = \sqrt 6[/tex]

Hence, the axis of symmetry of the equation is [tex]x = \sqrt 6[/tex]

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Answer:

24 and 25

Step-by-step explanation:

From given, we have,

7 square = 49

Let the first positive number be = x

And the second consecutive positive number is = x+1

x + (x + 1) = 49

2x + 1 = 49

2x = 49 - 1

2x = 48

x = 24

the first number x = 24

the second consecutive number x+1  = 24 + 1 = 25

Thus, 7 square = 24 + 25 (the sum of two consecutive positive numbers.)

The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3

A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.

Now, we have;

Prime factors of 36; 2 × 2 × 3 × 3

Prime factors of 24; 2 × 2 × 2 × 3

The prime factors that they have in common will be; 2 × 2 × 3

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Answer:

C.   (x, y) → (x, -y)

Step-by-step explanation:

The algebraic representation that correctly describes a reflection over the x-axis is (x, y) → (x, -y)

Here's an example to show understanding

Plot A is (4,6) and the reflection over the x-axis would be (4,-6)    

Answer:

0.50 or 50%

Step-by-step explanation:

40 x 125 = X

1.25 as a decimal or 125%

40 x 1.25 = 0.50

0.50 --->50%

40 x 125% = 50%

Answer:

50

Step-by-step explanation:

180-105=75

180-(75+55)=50

Answer:

x^2-10x+24

Step-by-step explanation:

We need to factor the equation

(x-4)(x-6)

-4x+-6x=-10x

Set it equal to 0

x-4=0

x=4

x-6=0

x=6

Answer: 0.227

Step-by-step explanation:

Answer:

B. 0.227

Step-by-step explanation:

Have a great day!

Answer:



Fraction:     5400/5625
Decimal Number:     0.96
Percentage:     96%                                

Explantion: There are a total of 5625 elks in the park. 225 of those are marked.

5625 - 225 = 5400

So, 5400 elks are not marked yet.

5400/5626 = 0.96 = 96%

0.96 is close to 1 so we could say that it is very likely that the next elk caught will be unmarked.

Answer:

Fraction:     5400/5625

Decimal Number:     0.96

Percentage:     96%        

Step-by-step explanation:

Answer:

r≈4.65

Step-by-step explanation:

Answer:

purple

Step-by-step explanation:

if you take red and blue u get purple. the apple is red then add blue and boom.

Answer:

it is red,

Step-by-step explanation:

there are many types of apples, not all apples are red, some are red and green some have a mix of different colors on them

The inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.

Minimum distance=(50×2)

Minimum distance=100 miles

Time (T) required to cover the distance (D)

Time=D/50 hours

Inequality is 2+D/50≤6

Hence:

Let solve for Distance (D)

D/55≤6-2

D≤4×50

≤200

Therefore the inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.

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The slope of the line tangent to the polar curve [tex]\rm r =3sin\theta[/tex] is 1.79.

A surface on which one end or side is at a higher level than another; a rising or falling surface.

The slope of the line tangent to the polar curve;

[tex]\rm r =3sin\theta[/tex]

The slope of the tangent is given by the following formula;

[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (\dfrac{dr}{d\theta}sin\theta + cos\theta)}{(\dfrac{dr}{d\theta}cos\theta-rsin\theta)}[/tex]

Differentiate the given polar curve

[tex]\rm r =3sin\theta\\\\\dfrac{dr}{d\theta}=3cos\theta\\\\[/tex]

Substitute all the values in the formula

[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (\dfrac{dr}{d\theta}sin\theta + rcos\theta)}{(\dfrac{dr}{d\theta}cos\theta-rsin\theta)}\\\\\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (3cos\theta \times sin\theta +3 sin \theta \times cos\theta)}{(3cos\theta \times cos\theta-3 sin \theta \times sin\theta)}\\\\\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{3 (cos\theta sin\theta + sin \theta cos\theta)}{3(cos\theta cos\theta- sin \theta sin\theta)}\\\\[/tex][tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ 2sin\theta cos\theta}{(cos^2\theta -sin^2 \theta)}[/tex]

Substitute the value of [tex]\theta[/tex] in the equation

[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ 2sin \dfrac{\pi }{6} cos\dfrac{\pi }{6} }{(cos^2\dfrac{\pi }{6} -sin^2 \dfrac{\pi }{6} )}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{2 \times 0.5 \times 0.86}{0.86^2 -0.5^2}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{0.86}{0.73- 0.25}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{0.86}{0.48}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =1.79[/tex]

Hence, the slope of the line tangent to the polar curve [tex]\rm r =3sin\theta[/tex] is 1.79.

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Answer: The smallest zero is -3.

Step-by-step explanation: Zeros of a function are the values of input for which the function gives 0 output.

Here, the given function is,

p(x) = x(x-5)(x-2)(x+3)

For finding the zeroes of p(x),

p(x) = 0

⇒ x(x-5)(x-2)(x+3) = 0,

⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0

⇒ x = 0 or x = 5 or x = 2 or x = -3

Thus, the zeros of the given function are 0, 5, 2, -3

In which -3 is smallest.

Answer:

x = -3

Step-by-step explanation:

x(x-5)(x-2)(x+3) = 0    means at least one of these terms = 0

so  

                        x = 0       or

x-5 = 0     then x = 5        or

x-2 = 0     then x = 2       or

x+3 = 0     then x= -3

f(x) is our regular graph where the y value is determined by the x value that is plugged in.

f(x + 2) = horizontal shift to the left 2 units

---x, the horizontal axis, is what is being altered here because the change occurs within the parenthesis. We always do the opposite action/move the opposite way when the shift occurs within the parenthesis.

f(x) + 2 = vertical shift up 2 units

---y, the horizontal axis, is what is being altered here because the change occurs outside the parenthesis. We move the function as we would expect to when the shift occurs outside the parenthesis.

Hope this helps!