solve using the box method

Solve Using The Box Method

Answers

Answer 1

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

[tex]\large\text{Just SIMPLIFY the given EQUATION or find the DIFFERENCE}\\\large\text{OF the SQUARES... Here is the formula: }\mathsf{\bf a^2 - b^2 =(a+b)(a-b)}[/tex]

[tex]\large\text{Equation: }\mathsf{\dfrac{(4x^2-9)}{(2x + 3)}}[/tex]

[tex]\large\text{Rewrite }\mathsf{ 4x^9 - 9}\large\text{ in the formation of }\mathsf{a^2 - b^2}\large\text{ whereas}\mathsf{a = 2x \ \&\ b = 3.}[/tex]

[tex]\large\text{Equation: }\mathsf{\dfrac{(2x)^2-3^2}{2x + 3}}[/tex]

[tex]\large\text{This is where you try to do the DIFFERENCE OF its SQUARES}[/tex]

[tex]\mathsf{\dfrac{(2x + 3)(2x - 3)}{2x + 3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{(2x + 3)\ - (2x +3)}\large\text{ because it gives you 0}[/tex]

[tex]\large\text{This leaves us with }\mathsf{\bf 2x - 3}\large\text{ as your POSSIBLE ANSWER}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 2x - 3}}}\huge\checkmark[/tex]

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

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

[tex]\large\text{Note: There is/are many ways to solve for equations like this.... this was just}\\\large\text{the quickest and easiest way to understand it!}[/tex]


Related Questions

FIND THE VALUE OF X

Answers

Answer:

x = 9

Step-by-step explanation:

diagonals bisect each other so we can set up these equations:

x+8 = 2y+5

2x = 3y

in the top equation we can solve for 'x': x = 2y-3

in the second equation we can solve for 'x': x = 3y/2

2y-3 = 3y/2

multiply each side by 2 to eliminate fractions:

4y - 6 = 3y

4y = 3y + 6

y = 6

2x = 3(6)

2x = 18

x = 9

hello like almost everyone else on here, I'm probably gonna fail so uh help, please? In your own words explain how to multiply/divide radical expressions? How do you know if you can or cannot simplify them?

Answers

Answer: It does not matter whether you multiply the radicands or simplify each radical first. You multiply radical expressions that contain variables in the same manner. As long as the roots of the radical expressions are the same, you can use the Product Raised to a Power Rule to multiply and simplify.

Step-by-step explanation:

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocelyn the correct solution.

Answers

Complete Question:

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.

We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle

Answer/Step-by-step explanation:

Jocelyn used a wrong equation and statement.

Here's what she should have stated and done.

Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².

Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.

Therefore, in this case,

c = 45

b = 27

a = 36

Thus, what we need to check to be true would be:

36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)

Let's check if it's true.

2,025 = 2,025 (this is true)

Therefore, the triangle is a right triangle.

please help. i need help. i will adore u

Answers

AnswerThe first one the rabbit population would go down because the abundance on lynx

the sencond one would be the lynx population would increase because of the abundance of food

Step-by-step explanation:

I hope this helped :)

albert announces to his mother, he is hungry and asks what is there to eat? she responds, go look in the refrigerator. which factor has the greatest influence on albert's food choice?​

Answers

Answer:

Availability

Step-by-step explanation:

The cost of a 9 litter of petrol is $ 378. How much is 15 litres of petrol cost ?

Answers

Answer:

$630

Step-by-step explanation:

cost of each litter of petrol 378/9=42

cost of 15 liters of petrol 42x15=630

15 litters of petrol cost $630

Answer: $630

Step-by-step explanation:

[tex]9l[/tex] = $[tex]378[/tex]

[tex]\frac{378}{9}[/tex] to find [tex]xl[/tex] = $42

This means [tex]1l[/tex] = $42[tex]42[/tex] × [tex]15[/tex] = $[tex]630[/tex]

find x:
[tex] {9}^{2x + 1 = {81}^{3x + 1} [/tex]


Answers

Answer:

[tex] x = - \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]{9}^{2x + 1} = {81}^{3x + 1} \\ \\{3}^{2(2x + 1)} = {3}^{4(3x + 1)} \\ \\ {3}^{4x + 2} = {3}^{12x + 4} \\ bases \: are \: equal \: so \: exponents \: \\ will \: also \: be \: equal\\ \\ 4x + 2 = 12x + 4 \\ \\ 2 - 4 = 12x - 4x \\ \\ - 2 = 8x \\ \\ x = - \frac{2}{8}\\ \\ x = - \frac{1}{4} [/tex]

Danny has at least $15 more than his big brother. Danny's brother has 72. How much money does Danny have?

Answers

Answer:

at least 87

[tex] \geqslant 87[/tex]

Step-by-step explanation:

danny has at least $15 more than his brother and his brother has $72 that means Danny has at least 15 + 72(his brothers money) it can be 87 or more than 87

Danny's money is

[tex] \geqslant 87[/tex]

change 6 out of 100 to a percentage​

Answers

Answer:

6%

Step-by-step explanation:

[tex]\frac{6}{100}[/tex]

For fractions with 100 as the denominator, it will always have the numerator as its percent value. This is because percentages are essentially comparing a number to 100, which is what [tex]\frac{6}{100}[/tex] is doing. Therefore, [tex]\frac{6}{100}[/tex] as a percentage would be 6%.

I hope this helps!

help asap pls i’ll give brainlist!

Answers

Step-by-step explanation:

50

please can someone help me out ​

Answers

Answer:

The input is always represented on the x-axis.

The definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

We cannot have multiple of the same inputs or x-values for a relation to be a function.

Two numbers have these properties
- Both numbers are greater than 8
- HCF is 8
-LCM is 80
What are the two numbers?
Please add an explanation, thank you!

Answers

Step-by-step explanation:

yea the answer us 8dj but u jejrjfjfjdjdjjfjfjcj

Sketch a graph of the solutions to your equation.

Answers

What is the equation? What is the solution?

Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $3. Megan pays the cashier $40 and gets $4 in change. Which equation could be used to find the cost, n, of one necklace?

Answers

Answer:

8.3

Step-by-step explanation:

40-4=36

3x3=9

36-9=25

25/3 = 8.3

x=7

Step-by-step explanation:

Matchsticks are used to make a sequence of
patterns:
3 , 5 , 7 ...

Find the nth term rule for the number of
matchsticks in pattern n

Answers

Answer:

Tn = 1 + 2n

Step-by-step explanation:

Given the arithmetic sequence

3 , 5 , 7 ...

The nth term of an AP is expressed as;

Tn = a + (n-1)d

a is the first term = 3

d is the common difference = 5-3 = 7-5 = 2

n is the number of terms

Substitute

Tn = 3 + (n-1)(2)

Tn = 3 + 2n-2

Tn = 1 + 2n

Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n

Given APQR and ASTU, what is mZQ ?

Answers

Answer:

I'm pretty sure the answer is 64

Step-by-step explanation:

I'm assuming the triangles are transformations of each other, and looking at the side lengths, angles S and P should be congruent, which means they're both 70. Same thing for angles U and R, which are both 46.

46+70=116.

The unknown angles are Q and T, which are congruent. The angles in triangles always add up to 180 degrees, so this means that 180-116=64. Both angles T and Q are 64 degrees.

Q=64

There are 24 red flowers and 16 yellow flowers. What percent of the flowers are
yellow?

Answers

24+16=40
100/40=2.5
2.5 x 16 = 40
40% of the flowers are yellow

Hope this helps

Help please will mark

Answers

Answer: 6.7
Have a good day :D
Answer 6.7
Bye bye :)

Find the x and y intercepts

7x - y = 28

Answers

Answer:(0, -28) and (4,0)

Step-by-step explanation:

[tex]7(0)-y =28\\-y=28\\y=-28\\(0, -28)[/tex]

[tex]7x-0= 28\\x=4\\(4,0)[/tex]

What is w - 9 = 0 ; w = 9?

Answers

Answer:

um, your showing us an answer

Step-by-step explanation:

basically, they're saying that

w = 9. So 9-9=0

How do you find the slope of (14,-8) and (7,-6)

Answers

Use the formula: y^2 - y^1 divided by x^2 - x^1.
x^1= 14, y^1= -8, x^2= 7, y^2= -6
Plug it in: -6- -8 divided by 7-14
Answer: 2/-7

1. A cylinder and its dimensions are shown in the diagram. What is the
lateral surface area of the cylinder in square inches? Round to the
nearest hundredths. (TYPE YOUR ANSWER AS A NUMBER ONLY)
18 in
27 in

Answers

Answer:I’ll ask my my teacher

Step-by-step explanation:

Answer:

1123

Step-by-step explanation:

32 vfesjv  sfv bs nvsn fv

what is the volume??

Answers

Answer:

That would be 84.

Step-by-step explanation:

Here it is

What is -10m - 6m -8 -6m

Answers

-10m - 6m -8 -6m = −22m −8

Which expression shows four times eight to the fifth?

Answers

Answer:

C. Four times eight to the fifth.

Step-by-step explanation:

A. is four times TIMES 5 (Incorrect, NOT the answer)

B. Is 4 to the eight TIMES 5 (Incorrect, NOT the answer!)

C. Is 4 times eight to the fifth (CORRECT, is the answer.)

D. Is 4 to the eight TIMES 5 again! (Incorrect, NOT the answer!)

     I Hope This Helped! :)

PLEASE HELP

Connor and Angie helped take attendance during their school's practice
fire drill. Connor counted 470 in attendance and Angie counted 479. The
actual attendance was 470. What is the percent error? (ROUND TO THE
NEAREST TENTH.) *
0.019
1.2%
1.9%
12%

Answers

Answer: 1.9%

Step-by-step explanation:

The percent error formula is [tex]\frac{accepted-experimental}{accepted}[/tex] so input our values also keep in mind when we do percent error we use absolute error which means no negative percentages so 470-479/470= -9/470 or 9/470

as a decimal 9/470 is 0.019 or 1.9% so the answer is 1.9%

8. Find X
help i need this today

Answers

It’s 144

You do a^2 + b^2 = c^2

B is 42 and C is 150 since it’s the hypotenuse

You do it all out and get 22,500 - 1764

Then find the square root and end up with 144

Please help me I need to pass

Answers

Any value less than 16 or greater than 24 is an outlier.

This is because 16 is the smallest number in the data and 24 is the largest, any more different than this makes a number an outlier

Johnson wants to buy something for himself. He has a budget of $105 to spend on $25 t-shirts, $10 cd's, and $5 books. He wants to buy 10 items and wants to buy as many books as t-shirts and cd's combined. How many of each item should he buy?

Explain please!​

Answers

Answer:

2 t-shirts, 3 cd's, 5 books.

Step-by-step explanation: Johnson wants to spend $105 in total, get 10 items total, and get at least 1 t-shirt, 1 cd, and 1 book. If he did not want to buy 10 items then he could buy 21 books, 10 cd's and 1 book, or 4 t-shirts and 1 book. But because of all the conditions Johnson should buy 2 t-shirts ($50), 3 cd's ($30), and 5 books ($25). $105 total, and as much of each item as possible.

The probability of Jan's school bus running late is 38. In 168 days of riding the bus, how many times can Jan expect it to be late? Enter the correct answer in the box.

Answers

Jan can expect to be late 4 times in 168 days.

Hope this helps.
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