I need the work and answer for this

Answer:

(8x-9)(8x+9)

Step-by-step explanation:

64x^2 - 81

Rewriting

(8x)^2 - 9^2

We recognize that this is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(8x-9)(8x+9)

Answer:

(8x+9)(8x-9)

Step-by-step explanation:

64x^2= 8x*8x

-81= 9*-9

Answer:

B is the correct answer

Step-by-step explanation:

Dimensional Analysis

Answer: The length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .

Step-by-step explanation:

We know that the distance between the two points (a,b) and (c,d) is given by :-

[tex]d=\sqrt{(a-c)^2+(b-d)^2}[/tex]

Given points = A(-3,1) and B(2,6)

Therefore the distance between the points A(-3,1) and B(2,6) is given by :-

[tex]d=\sqrt{(-3-2)^2+(1-6)^2}\\\\\Rightarrow\ d=\sqrt{(-5)^2+(-5)^2}\\\\\Rightarrow\ d=\sqrt{25+25}\\\\\Rightarrow\ d=\sqrt{50}\\\\\Rightarrow\ d=\sqrt{25\times2}\\\\\Rightarrow\ d=\sqrt{5^2\times2}\\\\\Rightarrow\ d=5\sqrt{2}\text{ units}[/tex]

Hence, the length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .

When the athlete drink 16 ounces of water every two hours for the next 14 hours,

(A) The athlete consumes 3.5 quartz of water.

(B) The athlete consumes 7 pints of water.

16 ounces = 1 pint

1 quart = 32 ounces.

The total duration for which athlete consumes the water is 14 hours with a after every 2 hours.

The total number of times the water consumed by athlete is 14/2 = 7.

Covert the 16 ounces of water in quarts

= 16/ 32

=1/2

The total quantity of water consumed in quarts is

= 7×(1/2)

= 3.5 quarts

Thus, the amount of water consumed by athlete in entire 14 hours is 3.5 quarts.

The total duration for which athlete consumes the water is 14 hours with a after every 2 hours.

The total number of times the water consumed by athlete is 14/2 = 7.

Convert 16 ounce of water into pint

= 16/16

= 1

The total quantity of water consumed in pints is

= 7×1

= 7

Thus, the amount of water consumed by athlete in entire 14 hours is 7 pints.

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Answer:

D. 2:1

Step-by-step explanation:

Imagine a line that is parallel to the top of the square that passes thru point O

that would make two more triangles. The two in the top would be equal and the two in the bottom would be equal.

Therefore, the area of square KLMN is two times the area of triangle LOK

Answer:

D. 2:1

Step-by-step explanation:

ratio of areas:

Answer: 2:1 option D

Answer:

answer is 5 my explanation is I took the quiz a.d bit but right

Answer:

1209

Step-by-step explanation:

v= pi* r^2* h         r= d/2

soda:

d = 2    r = 1

h = 5

grabage:

d = 24   r = 12

h = 42

volume G: 19000.35

volume S: 15.71

volume G/ Volume S = # of soda cans

Answer:

81 yards

Step-by-step explanation:

Answer:

1 mile is 1.6 km

Step-by-step explanation:

I don't know how to explain

Answer:

[tex]x=-\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]2(4x+3)=x+1[/tex]

[tex]8x+6=x+1[/tex]

[tex]8x-x=1-6[/tex]

[tex]7x=-5[/tex]

[tex]x=\frac{-5}{7}[/tex]

Answer:

x = -5/7

Step-by-step explanation:

2(4x+3)=x+1

Distribute

8x +6 = x+1

Subtract x from each side

8x+6-x = x+1-x

7x+6 = 1

Subtract 6 from each side

7x+6-6 = 1-6

7x =-5

Divide each side by 7

7x/7 = -5/7

x = -5/7

Answer:

Option B; False

Step-by-step explanation:

Consider a Triangle Inequality to prove that these segments could form a triangle;

[tex]| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False[/tex]

These segments could not form a triangle

Hey!!!

It is a right angle.

The answer is yes; 4^2+3^2=5^2 [option D]

please see the attached picture for full solution

Hope it helps

Answer: Complete the statement: 0.6L =______mL.

A. 600

Answers:

1. 90in^2       2. 238cm^2

Step-by-step explanation:

For the first one:

6•3=18

6•3=18

3•3=9

3•3=9

6•3=18

6•3=18

Now we add them all up:

18+18+9+9+18+18=90in^2

For the second one:

7•5=35

7•5=35

7•7=49

7•7=49

7•5=35

7•5=35

Now we add them all up:

35+35+49+49+35+35=238cm^2

Answer:

The answer is $24.99

The solution is Option A.

The equation of line is y = 12.5x + 150 , where x is the number of weeks

The amount Zack needs after 10 weeks to buy the bike is $ 24.99

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The price of the bike Zack needs to buy = $ 299.99

The initial amount with Zack = $ 150

The amount Zack saves in a week = $ 12.50

The number of weeks = x

The amount Zack saves in x weeks = 12.5x

So , the total amount with Zack after x week is given by the equation ,

Total amount with Zack after x week y = amount Zack saves in x weeks + initial amount with Zack

Substituting the values in the equation , we get

Total amount with Zack after x week y = 12.5x + 150

Now , after 10 weeks , the amount with Zack is

Substitute the value of x as 10 in the equation , we get

y = 12.5x + 150

y = 12.5 ( 10 ) + 150

y = 125 + 150

y = $ 275

Now , the amount left to buy the bike =  price of the bike Zack needs to buy - amount with Zack after 10 weeks

Substituting the values in the equation , we get

Amount left to buy the bike A = $ 299.99 - $ 275

Amount left to buy the bike A = $ 24.99

Therefore , the value of A is $ 24.99

Hence , the amount Zack needs is $ 24.99

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Answer:

144 €

Step-by-step explanation:

If you begin with 192 € and these funds decline (go down) by a quarter, you'll end up with

(1.00 - 0.25)(192 €) = 144 €

Answer:

Area = 88 square units

Step-by-step explanation:

The length of the blue rectangle can be found by subtracting 15 and 4, which equals 11. The width of the blue rectangle can be found by subtracting 6 from 14, which equals 8.

area = length x width

area = 11 x 8

area = 88 square units

Answer: -20

Step-by-step explanation:

We can set up an equations with the conditions we are given. Let's use x for the missing number.

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

2x-8=3x+12

-20=x

Answer:

see below

Step-by-step explanation:

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

sum is addition

difference is subtraction

2 is multiply by2

solve 2(x-4) =3(x+4) distribute on both sides

2x - 8 = 3x + 12 add 8 on both sides

2x = 3x + 20 subtract 3x on both sides

-x = 20 multiply by -1

x = -20

Answer:

3+2c

Step-by-step explanation:

To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.

Answer:

Step-by-step explanation:

Q1) 15+15+15+15+15+15=90

Answer : 1 over 90 as a fraction

Q2) 2 over 2

Q6) 13 over 52

Answer:

This sentence shows Elion's determination and commitment to learn.

Step-by-step explanation:

During this time she also took classes at New York University, where she earned a master's degree in 1941.

The way in which sentence 4 assists in developing the key idea of the paragraph would be:

B). This sentence shows Elion's determination and commitment to learn.

Thus, option B is the correct answer.

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Answer:

The number line should have a filled in dot at -3 and should extend to the left where it is negative.

Step-by-step explanation:

If -3 is greater than or equal to c, then c has to be equal to -3 or smaller. So, the number line should include -3 with a filled in dot and should extend to the left of -3 where the more negative numbers are.

Answer:---> or o---> i think

Step-by-step explanation:

Answer:

970.2

28x11x6.3

1,940.4/2

970.2

Three $20 bills is a total of $60

$60 - $12 = $48

He spent a total of $48 on the books

Divide the total spent by the number of books:

48 / 3 = 16

Each book cost $16

Answer:$12 per book

Step-by-step explanation: $20 x 3= $60

If you have $12 change you minus that from the $60

Now that is $48 for 4 books.

To work out one book you do $48/4 which is $12 per book.

Answer:

yes you are correct

Step-by-step explanation:

The answers are a)  y is the dependent variable, x is the independent value. b) 33 weeks and c) $2950

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

Given that, The amount of money in Alexander’s account is, y = 4000 − 70x, where y is the amount in dollars and x is the time in weeks.

a) Here, y is the dependent variable as it depends on the value of x, and x is the independent value.

b) We have, total amount = $1701

Therefore, put y = $1701

$1701 = 4000 − 70x

70x = 2999

x = 32.84 ≈ 33 weeks

c) In 15 weeks the amount will be =

y = 4000 - 70(15)

= $2950

Hence, the answers are a)  y is the dependent variable, x is the independent value. b) 33 weeks and c) $2950

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Answer:

6n -37

Step-by-step explanation:

The slope would be the derivative of the function

dy/dx = 6x - 37  evaluated at the point n

dy/dx = 6n -37

Answer:

6n - 37

Step-by-step explanation:

The derivative of the function f(x) gives the gradient (slope) of the tangent to the graph of y = f(x) at the point (x, y).

Given:

[tex]y=3x^2-37x+6[/tex]

Therefore, the gradient (slope) of the given curve at x is:

[tex]\implies \dfrac{dy}{dx}=2 \cdot 3x^{2-1}-37x^{1-1}+0[/tex]

[tex]\implies \dfrac{dy}{dx}=6x-37[/tex]

To find the slope, simply substitute x for n:

[tex]\implies 6n-37[/tex]