Simplify:
6(2x - 3) - (5x + 7)
thank you!!!

Answer:

Step-by-step explanation:

Function 1 is defined for all x; there's a point on the graph for every x value.  Thus the domain of Function 1 is "all real numbers."  Notice that there is no graph for y smaller than 0.  Thus, the range of Function 1 is [0, infinity).

For which x- and y-values is Function 2 defined?  We see that x can be 0 or greater, and y 0 or greater.  Thus, the domain of Function 2 is [0, infinity), and the range is [0, infinity).

Answer:

change up to down the rest is right

Step-by-step explanation:

hope I helped!!

(1) The volume of closet space = 161,280

(2) The volume of one roll of toilet paper =  265 cubic inches

(3) The number of rolls of toilet paper can fit into the closet space = 608 rolls.

Given that,

The  length of rectangular section = 48 inches

The  width of rectangular section   = 84 inches

The diameter of toilet paper           = 5 inches

Height of toilet paper = 4 inches

The volume of the wardrobe space can be calculated by multiplying the rectangular section's length, breadth, and height.

As a result,

The closet's volume is roughly 161,280 cubic inches (48 x 84 x height).

The volume of one roll of toilet paper can be calculated using the volume of a cylinder formula (V = πr²h) with a diameter of 5 inches and a height of 4 inches.

Therefore,

One roll of toilet paper has a volume of around 265 cubic inches, rounded to 3.4.

To get the maximum number of rolls that can fit in the closet, divide the closet volume by the volume of one roll of toilet paper.

As a result, approximately 608 rolls of toilet paper can fit in the closet's rectangular part.

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Answer:

96

Step-by-step explanation:

25% can be written as 0.25

so:

24= .25*x

Divide both sides by 0.25

24 - .25x

.25 - .25

x=96

Therefore, the system of equations that represents this situation is: 4s + 7r = 3.50 and 8s + 3r = 5.25.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.

Here,

Let's start by defining some variables to represent the unknowns in this problem. Let's use:

s: the price of one snickers bar

r: the price of one reeses

Now, we can write two equations to represent the total cost for Rena and Winny, based on the number of snickers bars and reeses they bought, and the prices of each candy:

For Rena:

4s + 7r = 3.50

For Winny:

8s + 3r = 5.25

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The lateral surface area of cone A unwrapped is a sector with central angle 6 radians and radius pi. The length of the radius of cone A is pi/6.

Since the lateral surface area of cone A is a sector with central angle 6 radians and radius pi when unwrapped, we can use the formula for sector area to find the lateral surface area of the cone. Area of sector=θ/2π×π² where θ is the central angle and π is the radius.

Area of cone’s lateral surface area=L=θ/2π×2πr=rθ. So, r=L/θ=π/6 (when L=π and θ=6 radians). The length of the radius of cone A is π/6 which is approximately 0.524. Thus, the length of the radius of cone A is pi/6 when unwrapped, given that the lateral surface area of cone A is a sector with central angle 6 radians and radius pi.

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Because the angles on the first quadrant of the bottom horizontal line are equal, we conclude that the two parallel lines are FM and GB,

We know that two lines are parallel if when intersected by the same line, the two give the same angles.

In the image, we can see only one pair of equal angles, which are the two ones represented by a red quarter circle.

Both of these angles are on line MB, this means that the two parallel lines are the ones that intersect MB (in this case are the two vertical lines).

Then we can conclude that the two parallel lines are FM and GB.

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Answer:

  D. The theory is based on the idea that an explosion did not occur; therefore, evidence of radiation would not be predicted in the theory.

Step-by-step explanation:

You want to identify the statement that best describes why the steady state theory cannot explain the radiation detected in space.

The Big Bang theory explains the cosmic background radiation as remanent thermal energy from the explosion creating the known universe. The Steady State theory presumes there was no explosion. It offers no alternative explanation for the observed cosmic background radiation.

The cosmic background radiation was first observed in 1965 by two radio astronomers who set out to map radio signals from the Milky Way. They found microwave signals that could not be attributed to a specific source, and were of the same intensity in every direction at every time of day or season of the year. The spectrum of this radiation is consistent with a source temperature of about 2.725 K, explained as the cooled remains of the hot plasma that once filled the universe.

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Answer:

The answer is (x-6) squared

The number that could not be a value of y if y = 4x² - 6 is -12.

The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.

So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.

i.e.

y = 4(0) - 6

y = 0 - 6

y = -6

Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.

Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.

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Answer:

-12 is the answer.

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

g(x) = 2(x - 4)

g(x) = 20

Step 2: Solve for x

Answer:

7xy + 2x²t

Explanation:

5xy - x²t + 2xy + 3x²t

= (5xy + 2xy) + (3x²t - x²t)

= 7xy + 2x²t

26 city blocks

Hence, the actual distnce between the city Hall and library is 26 city blocks apart

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

you got it keep 4-6

Step-by-step explanation:

Answer:

SQR = 60

Step-by-step explanation:

BISECTS both angles are equal

RQS = SQP

5x+10=7x-10

20=2x

10=x

-------------------

5(10)+10=50+10=60

60 + 60 =120

The values for A and B that will create infinitely many solutions for the system of equations are A) A = 2 and B = 8.

We start by solving the system of equations:

Ax - y - 8 = 0

2x + y = 8

We can rearrange the second equation to get y = 8 - 2x. We can substitute this expression for y in the first equation to get:

Ax - (8 - 2x) - 8 = 0

Simplifying, we get:

Ax - 2x = 0

x(A-2) = 0

Now, we have two cases:

Case 1: x = 0

Substituting x = 0 in the second equation, we get y = 8. So, the solution is (0, 8).

Case 2: A = 2

Substituting A = 2 in the equation x(A-2) = 0, we get x = 0 or x can be any value. If x = 0, then the solution is (0, 8) as before. But if x is any value other than 0, then we can substitute it in the second equation to get a corresponding value of y. So, we have infinitely many solutions in this case.

Therefore, the values for A and B that will create infinitely many solutions for the system of equations are A) A = 2 and B = 8.

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Step-by-step explanation:

13 - 0.75w + 8x

13 - 0.75(12) + 8(.5)

13 - 9 + 4

4 + 4 = 8

Answer:

x = 11

Step-by-step explanation:

Given

4(x - 7) = 2x - 6 ← distribute parenthesis on left side

4x - 28 = 2x - 6 ( subtract 2x from both sides )

2x - 28 = - 6 ( add 28 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Answer:

8595

Step-by-step explanation:

This question can be solved in 2 ways

1. the same number of bottles were sold for 3 days. So, the number of bottles sold  can be multiplied by 3

2,865 x 3 = 8595

2. the bottles sold on Friday, Saturday and Sunday are added together

2,865 + 2,865 + 2,865 =  8595

Answer:

n = 8+6m

mStep-by-step explanation:

Answer:

Down below

Step-by-step explanation:

n - 6m = 8

n - 6m + 6m = 8 + 6m

n = 8 + 6m

or

n = 6m + 8

It doesn't matter which way you put it.

Hope this helps! :)

Answer:

19

Step-by-step explanation:

note that

(a + b)² = a² + b² + 2ab , that is

a² + b² + 2ab = (a + b)² ← subtract 2ab from both sides

a² + b² = (a + b)² - 2ab

           = 5² - 2(3)

           = 25 - 6

          = 19

Answer:

19

Step-by-step explanation:

since value of both a+b and a*b are given

formula for a^2 + b^2 is (a+b)^2-2*a*b

Substituting those value,

a^2+b^2=5^2-2*3

i.e. 25-6

=19

Answer:

x≤30

Step-by-step explanation:

he can spend no more than $30 a week

Answer: 96.12

Step-by-step explanation:

The amount that Bill will need to save will be for the cost of the headphones and the sales tax that will be applied. This will be:

= 89 + (8% × 89)

= 89 + (0.08 × 89)

= 89 + 7.12

= 96.12

Therefore, Bill will need to save 96.12.

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

b. the median is 82

Step-by-step explanation:

there is an even amount of numbers therefore there is no median.

Answer:

The answer is "The median is 82".

Answer:

289 miles.

Step-by-step explanation:

4 and 15 mins is 4.25 hours.68 c 4.25 = 289.Hope this helps.

Explanation:

If any polynomial function f(x) = ax^4 + bx^3 + cx^2 + dx + e is divided by (x + m), then the remainder obtained is f(-m).

So if polynomial x^4 + k is divided by x + 2 then remainder is,

But the remainder is 3. So equation for k is,

Simplify the equation for k.

So value of k is -13.

Answer: -13

Answer:

Scale factor 3

Step-by-step explanation: