A suit was marked with a 30% discount.If the discount is $36.00, what was the original price of the suit?

Answer:

c 57

Step-by-step explanation:

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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Answer: Distributive Property

Step-by-step explanation:

4×2=8+5=13

4xc=4c

Both distributive property and commutative property can be used here to solve the question.

Distributive property shows us how to multiply an algebraic expression or an arithmetic number with two or more expressions or numbers within brackets.

This can be represented symbolically as :

X ( Y + Z ) = XY + XZ

Here, the given question 4 (2 + c ) + 5 is to be rewritten as 4c + 13.

4 ( 2 + c ) + 5 = 4 × 2 + 4c + 5 [ distributive property]

                     = 8 + 4c + 5

                     = 4c + 8 + 5 [ Commutative property]

                     = 4c + 13

Commutative property of any two numbers or algebraic expressions can be defined as,

X + Y = Y + X

Hence, to rewrite 4 ( 2 + c ) + 5 = 4c + 13, both distributive and commutative properties are used.

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Answer:

67/100

Step-by-step explanation:

Percent means out of 100.

67% = 67/100

Answer:

67/100

Step-by-step explanation:

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

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

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

the statements are missing can you post them please

Answer:

Step-by-step explanation:

0.799 ________ 0.8

Choices:

Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.

We know 799 < 800, so apply the same here to get:

Correct choice is C

Given:

120 centimeters =

inches =

24 meters=

Required:

To convert them

Explanation:

120 centimetres=47.244 inches

24 meters=944.28 inches=26.247 yards

875 kilometres=543.7 miles

Required answer:

120 centimetres=47.244 inches

24 meters=944.28 inches=26.247 yards

875 kilometres=543.7 miles

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:  21

Why: 21/2321

Using the concept of a confidence interval, it is that the margin of error in this example is of 2%.

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

A confidence interval for a percentage is written in the following format:

\(P \pm M\)

That is, the percentage is of P, plus of minus M points, in which M is the margin of error.

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

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Answer:

∠A= ∠E, ∠H = ∠D

and the last one

Step-by-step explanation:

opposite angles are equal, alternative interior angle are equal.

Answer:

∠A = ∠E and ∠H = ∠D.

∠E = ∠H and ∠F = ∠G

Step-by-step explanation:

Angles A and E are one set of corresponding angles and angles H and D are another set.  Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.

Angles E and H are one set of vertical angles and angles F and G are another set.  Vertical angles are also always congruent to each other and thus equal.  Therefore ∠E = ∠H and ∠F = ∠G

For the given function C(x) = 0.37 + (x - 1)0.11 the cost of mailing a 1.6-ounce letter is $0.436

The term function in math is defined as a relation between a set of inputs having one output each.

Here we have given that certain mailing service's first class mail rates are $0.37 for the first ounce and $0.11 for each additional ounce or fraction thereof up to 3.5 ounces.

Let us consider that the term C refers that cost in dollars of a first class mailing and x refers the weight in ounces.

The the function for the given situation is written as,

=> C(x) = 0.37 + (x - 1)0.11

Here we have given that we need to find the cost of mailing a 1.6-ounce letter which defines that the value of x is 1.6, then the cost is calculated as,

=> C(x) = 0.37 + (1.6 - 1) 0.11

=> C(x) = 0.37 + 0.066

=> C(x) = 0.436.

Complete Question:

A certain mailing service's first class mail rates are $0.37 for the first ounce and $0.11 for each additional ounce or fraction thereof up to 3.5 ounces. Find the function of the situation and the cost of mailing a 1.6-ounce letter.

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Answer:

1. 84.7

2. 24

3. 47.5

4. 57.5

Step-by-step explanation:

your welcome and mark as brainliest pls

Answer:

  f(g(2)) = 51

Step-by-step explanation:

The expression f(g(2)) means you are to use g(2) as the argument for the function f(x).

__

The value of a function is found by substituting the argument value in the defining expression, then simplifying the result.

Here, we do that in steps, working outward from the innermost parentheses, as required by the Order of Operations.

  g(2) = 7(2^2) = 7·4 = 28 . . . . . put 2 where x is in g(x) = 7x^2, evaluate

  f(g(2)) = f(28) = 2(28) -5 = 56 -5 = 51 . . . . . . put 28 where x is in f(x) = 2x -5

  f(g(2)) = 51

_____

Many graphing calculators will let you define functions. You can use the calculator to compute the value for you. A spreadsheet can do the same thing.

EXPLANATION:

To find the value of the variable x we ​​must do the following:

-We must first perform the operations of the values ​​with the same variable,

-Finally we must find the value for x.

The exercise is as follows:

Answer:

Luke has saved $21

Step-by-step explanation:

Answer:

According to the problem, Ramona has saved 3 times as much money as Luke, so:

Ramona's savings = 3x

Luke's savings = x

The problem tells us that Ramona has saved $63, so we can write an equation:

3x = 63

To solve for x, we can divide both sides by 3:

x = 21

Therefore, Luke has saved $21.

Answer:

5040

Step-by-step explanation:

7 x 6 x 5 x 4 x 3 x 2 = 5040 different ways. Look at it this way: The first place can be taken by any of the 7 objects, which leaves any of 6 objects available for second place, which leaves any of 5 objects that then leaves 4 then 3 then 2 then 1

HOPE THIS HELPS

Answer:

\(\boxed{m = \frac{1}{4}}\)

.

Step-by-step explanation:

Use the form below

\(\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}\)

Where

.

So, the slope is

\((2,~ 1) \to x_1 = 2~and~y_1 = 1\)

\((6,~ 2) \to x_2 = 6~and~y_2 = 2\)

.

\(m = \frac{2-1}{6-2}\)

\(m = \frac{1}{4}\)

.

Happy to help:)

Answer:

\(\boxed {\boxed {\sf m=\frac{1}{4}}}\)

Step-by-step explanation:

The slope of a line can be found using the slope formula or dividing the change in y by the change in x.  

\(m=\frac{y_2-y_1}{x_2-x_1}\)

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

We are given the points (2,1) and (6,2). Therefore:

\(x_1=2 \\y_1= 1\\x_2= 6\\y_2=2\)

Substitute the points into the formula.

\(m=\frac{2-1}{6-2}\)

Solve the numerator.

\(m=\frac{1}{6-2}\)

Solve the denominator

\(m=\frac{1}{4}\)

This fraction cannot be reduced further, so it is the slope. It can be written as a decimal too:

\(m= 0.25\)

The slope of the line is 1/4 (0.25)

Answer:

The answer is below

Step-by-step explanation:

What is the equilibrium price and the quantity for the market whose quantity demanded and quantity supplied are given: Qd=220-5P and Qs= -20+3P?]

Solution:

The equilibrium price of a goods is the price at which the quantity of goods supplied is equal to the quantity of goods demanded. The equilibrium price can be determined by the supply and demand curve. The equilibrium price is the price at which the point of intersection of the supply and demand curve.

At equilibrium:

\(Q_s=Q_d\\\\-20+3p=220-5p\\\\220+20=3p+5p\\\\8p=240\\\\p=30\)

The equilibrium price is 30.

The equilibrium quantity = 220 - 5p = 220 - 5(30) = 70

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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b equal for the top of the bookcase to have the correct area= 5 cm2

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

L × b = 300

b = 300 / L

b = 300 / 60 = 5

Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.

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Answer:

72 1/3

Step-by-step explanation:

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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The value of a that makes u parallel to v is a = 4 and  the value of a that makes u perpendicular to v is -7.

a. For two vectors to be parallel, their direction ratios must be equal. In other words, their components must have the same ratio. For vectors u = (a, 7) and v = (4, 4), we have:

u1/u2 = a/7 = v1/v2 = 4/4

So the value of a that makes u parallel to v is a = 4.

b. For two nonzero vectors to be perpendicular, their dot product must be equal to zero. The dot product of u = (a, 7) and v = (4, 4) is given by:

u · v = a * 4 + 7 * 4 = 4a + 28

To make this equal to zero, we can solve for a:

4a + 28 = 0

4a = -28

a = -7

So the value of a that makes u perpendicular to v is -7.

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Step-by-step explanation:

or,[(√-x-1)+(√x+9)]^2=4^2

or,(√-x-1)^2+2√(-x-1)(x+9)+(√x+9)^2=16

or,-x-1+2√-x^2-10x-9 +x+9=16

or,2√-x^2-10x-9=8

or,√-x^2-10x-9=4

squaring on both sides

or,-x^2-10x-9=16

or,-x^2-10x=25

or,-x(x+10)=25

Either,

x=-25 or, x=15.

Answer:

y = (-1/11)x + 25/11

Step-by-step explanation:

3 - 2 = 1

-8 - 3 = -11

Slope is -1/11

y = (-1/11)x + b

3 = (-1/11)(-8) + b

3 = (8/11) + b

25/11 = b

y = (-1/11)x + 25/11

Answer:

11y+x -25=0

Step-by-step explanation:

First , find the slope of the line using the formula Y2-Y1

X2- X1

Then ,put your answer in the equation

Y-Y1=m( X-X1).

where m= slope of the line and ( X1, Y1) are the first co ordinates .

answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

The length and width of the rectangle is 15cm and 31cm respectively

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(L + W)

where

L is the length

W is the width

If its length is 1 cm more than twice its width, then;

L = 2W + 1

Substitute

92 = 2(2W + 1 + W)

46 = 3W + 1

3W = 45

W = 15cm

Determine the length

L = 2(15) + 1

L = 31cm

Hence the length and width of the rectangle is 15cm and 31cm respectively

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Answer:

If you don't fix my ceiling, then I won't pay the rent

Step-by-step explanation:

if-then statement is "If I pay my rent, then my ceiling was fixed."

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

The converse of a statement is formed by switching the hypothesis and the conclusion.

We have to rewrite the statements in if-then form. Fix my ceiling or I won’t pay my rent.

if-then statement is "If I pay my rent, then my ceiling was fixed."

or If you don't fix my ceiling, then I don't pay my rent.

Hence, if-then statement is "If I pay my rent, then my ceiling was fixed."

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