Use the number line below to determine which of the following answer choices has statements that are all true

Answer:

Step-by-step explanation:

Factor the sum of cubes

a³ + b³ = (a+b)(a² - ab +b²)

= 2a² - 2ab + 2b²

a³ + b³ + 6ab = 2a² + 4ab + 2b²

= 2(a² + 2ab +b²)

= 2(a+b)²

= 8

The cost of Mary's lodging cost is A = $ 225.63

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the total lodging cost be represented as A

First, let's calculate the total tax percentage

6% + 2% + 1% = 9%

So, Mary will pay 9% tax on the room rate of $69 per night.

Total room rate for 3 nights = 3 x $69 = $207

Total tax amount = 9% of $207 = $18.63

On simplifying the equation , we get

Therefore, Mary's total lodging cost will be:

A = $207 + $18.63 = $225.63

Hence , the total lodging cost is A = $ 225.63

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

12

Step-by-step explanation:

1.5c=20-2

1.5c=18

c=18/1.5

c=12

Answer:

The vertex is ( -6, 3)

Step-by-step explanation:

h(x) = |x+ 6| + 3

Inside the absolute value is the h or the x coordinate of the vertex

Outside is the k or the y value of the vertex

It is in the form

h(x) = |x-h| + k  where (h,k) is the vertex

h(x) = |x - -6| + 3

The vertex is ( -6, 3)

Answer:

Step-by-step explanation:

Given function:

This is the translation of f(x) = |x|,  6 units left and 3 units up

So the vertex is (-6, 3)

Correct choice is B

Answer:

Step-by-step explanation:

[tex]19.8(1.098)(1.051)\approx 22.8 tons[/tex]

Answer:

y==$281+$166=$447

in 11 weeks she pay $ 447

in 1 weeks she pay $447/11=40.6$

she paid off in 3+8=11 weeks

Answer - Function 2

Function 1 - y = 2x (1/3)^x    x = 0 =2*0*1 = 0

Function 2 have the value for 3 for x = 0

Function 2 is greater

Answer:

He sold 39 phones

Answer:

39 Phones

Step-by-step explanation:

2.50x+600=697.50

subtract 600 from both sides to get the equation:

2.50x=97.50

divide each side by 2.50 and you get x=39

Answer:

1.1.1. The common difference is 12

1.1.2. The first term is 30

Step-by-step explanation:

1.1.1. The given quadratic pattern is presented as follows;

The 2nd term = 1

The 3rd term = -16

The 5th term = -14

Let 'd' represent the second difference, we have;

1 + 2d + a =  -16

2·d + a = -16 - 1 = -17

2·d + a = -17...(1)

-16 + 3d + a + 4d + a = -14

7·d + 2·a = -14 + 16 = 2

7·d + 2·a = 2...(2)

Making 'a' the subject of both equation (1) and (2) gives;

a = -17 - 2·d

a = 1 - 7/2·d

∴ -17 - 2·d = 1 - 7/2·d

(7/2)·d - 2·d = 1 + 17

(3/2)·d = 18

d = (2/3) × 18 = 12

The common difference, d = 12

a = -17 - 2·d = -17 - 2 × 12 = -41

1.1.2. Let 'x' represent the first term, we have;

x + a + d = 1

x = 1 - (a + d)

x = 1 - (-41 + 12) = 30

The first term, x = 30

Answer:

SVU is 100 degrees i think because i uploaded the image to an online protractor and it said 100 degrees so hopefully its right lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

7x-9=4x+15

7x-4x=15+9

3x=24

x=24/3

x=8

pls mark BRAINLIEST

Answer:

m<ABC=<7x-9=7×8-9=47° is your answer

Step-by-step explanation:

4x+15=7x-9 vertically opposite angle

15+9=7x-4x

x=24/3=8

Answer:

a = 0, b = -15

Step-by-step explanation:

Given the following complex number;

x1 = 3(cosπ+isinπ)

x2 = 5(cosπ/2 - isinπ/2)

x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)

x1x2 = 15(0 - i(-1)+0 -0)

x1x2 = 15(-i)

x1x2 = -15i

x1x2 = 0-15i

Since

0 - 15i = a+ bi

Compare

a = 0

-15-  = bi

b = -15

Hence a = 0, b = -15

Answer:

x = 12

Step-by-step explanation:

x² = 24 x 6 = 144

x = 12

Answer:

the number four that an option and that it a correction to know if you have any questions

Answer:

i need more space to send the pic i did the math tho

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If r is a real number, then the x intercepts 0 < r, meaning r is greater than 0, you would shift right from 0 to your higher + number.

Answer:

25/4

Step-by-step explanation:

Multiplying numerators gives 4950 and multiplying denominators gives 792. 4950/792. simplify to get simplest form as 25/4

Answer:-6.25

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 2 feet and the adult tube has a diameter of 3 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.

Solution:

Let c represent the number of child tubes and let a represent the number of adult tubes owned by river racing.

Given that there are a total of 160 tubes, hence:

a + c = 160        (1)

The total diameter of all tubes is 430 feet, hence:

3a + 2c = 430   (2)

To find a and c, we have to solve equation 1 and 2 simultaneously. multiply equation 1 by 2 and subtract from 2:

a = 110

Put a  = 110 in eqn 1:

110 + c = 160

c = 50

The graph of the equation y = -25x + 75 is attached.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Since the pool is 75 feet long, hence b = 75. Also the swimmer travels 2.5 feet per second to the other side, hence m = -25

The equation becomes:

y = -25x + 75

The graph of the equation y = -25x + 75 is attached

Find out more at: https://brainly.com/question/13911928

Answer:

B. 62 un2

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the lines.

Hence, it is a straight line.

the standard equation of a straight line at (x1,y1) with slope m is =>

===> y-y1 = m (x-x1)

Option B.) is the correct answer.

====> y-4 = 2(x+1)

Answer:

Step-by-step explanation:

21/29 = 20/b

b = 20*29/21 = 580/21

a^2 + 20^2 = (580/21)^2

a = 400/21

Answer: if you add 5 then you get 57

Step-by-step explanation: just add ang get the answer

Answer:

just add

Step-by-step explanation:

addd

Answer:

128 calories

Step-by-step explanation:

Remember that an exponent represents multiplying a number repeatedly by itself. For example, using this situation, [tex]2^7[/tex] would represent 2 multiplied by itself seven times:

2 x 2 x 2 x 2 x 2 x 2 x 2

notice that there are 7 2's multiplied by each other ^^

if you are doing this without a calculator, its easiest to start one at a time

2 x 2 = 4

now there are 5 2's left

4 x 2 = 8

there are 4 2's left

8 x 2  = 16

there are 3 2's left

16 x 2 = 32

there are 2 2's left

32 x 2 = 64

there is one 2 left

64 x 2 = 128

so [tex]2^7[/tex] = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

I hope that helps :)

Answer:

x = 15 ft

Step-by-step explanation:

Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:

side AE / side EB = side AD / side DC

4/6 = 10/x

Solve for x

x = (10)(6) / 4

x = 60 / 4

x = 15 ft

Answer:

they are not equal to

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume=3×3×7=63 inch³