Determine the smallest integer value of x in the solution of the following inequality.
3x +4> -18

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Answer:

\(4.06 * 10^{-2}\)

Step-by-step explanation:

4.06 x 10^-2

C

In order to fulfill the requirements, we need to draw exactly 5 quadrilaterals with appropriate markings on the grid. Here's an example design:

. . . . . 1 . . . .

. . . . / \ . . .

. . . ./. \.\ . .

. . . / . . \ \ .

. . ./. 5 . \.\ .

. . / . . . . \ \ .

. ./. . 4 . . \.\ .

. 2-----------3 .

. .\ . . . . . /. .

. . \ . . . ./. .

. . .\.\ . / /. .

. . . \.\./ / . .

. . . . \  / . .

. . . . .\/. . .

A parallelogram has two pairs of parallel sides.

A rectangle is a type of parallelogram where all angles are right angles.

A rhombus is a type of parallelogram where all sides are equal in length.

A square is a type of rectangle where all sides are equal in length.

A trapezoid has one pair of parallel sides.

A quadrilateral with no other classification is any quadrilateral that does not fit into the above categories

In this design, we have:

Parallelogram 1, marked with arrows to indicate its parallel sides.

Rectangle 2, marked with right-angle symbols to indicate its right angles.

Rhombus 3, marked with tick marks to indicate its equal sides.

Square 4, marked with tick marks and a right-angle symbol to indicate its equal sides and right angles.

Trapezoid 5, marked with a line and arrows to indicate its parallel sides and non-parallel sides.

All of the shapes in this design are quadrilaterals, and we have exactly 3 parallelograms, 2 rectangles, 1 rhombus, 1 square, 1 trapezoid, and 1 quadrilateral with no other classification.

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It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

To solve this problem, we can use the concept of "work rates."

Let's find out how much work Fran and Denise can do individually in one hour.

If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).

Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).

When they work together, their work rates are additive.

So, their combined work rate would be:

\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)

\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)

\(=\frac{7}{24} room/hour\)

This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.

To determine the total time required for them to paint the entire room, we can invert their combined work rate:

\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)

Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

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Answer:

ponlo en español para ayudarte

Answer:

There are 4 pieces of lasagna left

Answer: 4

Step-by-step explanation:

A correct conclusion based on the passage below is the veterinarian opened the office on the weekend to accommodate the Smiths. Option D. This is further explained below.

Generally, Veterinarian is simply defined as a doctor who specializes in the treatment of animals.

In conclusion, Following the logic of the preceding paragraph, it is reasonable to assume that the veterinarian extended his weekend hours in order to accommodate the Smiths.

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Answer:

0

Step-by-step explanation:

it's divided evenly with no remainder

Answer: 101

Step-by-step explanation:

.

The final rule for g(x) is g(x) = 3|3x| + 12.

To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.

So, the rule for g(x) is g(x) = 3f(x).

Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:

g(x) = 3f(x)

g(x) = 3(-|3x| - 4)

g(x) = -3|3x| - 12

This is the expression for g(x), which represents the transformed graph.

To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.

Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.

Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.

The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).

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The correlation coefficient measures the strength and direction of a linear relationship between two variables, in this case we have the number of students attending drama club and the number of students attending poetry club.

This coefficient is known as "r" and its value is always between +1 and –1.

The more close it is to -1 or +1 the stronger the relationship. When r has a value of 0 it means there is not relationship between the variables.

The given r value is -0.36, it is more closer to 0 than to -1, then the relationship is weak, it means there is not much expectation that one variable cause the other to change.

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Answer:

Step-by-step explanation:

CA=64 √2

BA=BC=64

AG=137-64=73

AG=X

EG=X √3

EA=2X=73*2=146

Answer:

x=13.5

Step-by-step explanation:

You are on the right track with sin34/x=sin27/11 (remember you don't need all three angles/sides)

\(\frac{sin34}{x}\) = \(\frac{sin27}{11}\)

(sin27)(x)=6.15112193818

x=6.15112193818/0.45399049974

x=13.5490102584

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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Answer:

B)

Step-by-step explanation:

Because it says that Alex wants to spend exactly $30 so you want to have 30 as the total (  = 30 )

and it says 18 plus, you only add 18 one time ( 18 + )

and then it says 0.12 per mile, so you need to do something times 0.12 + 18 and get exactly 30. so you do ( 0.12x ) in this case we're not solving it we're just doing the equation so it's just 0.12x instead of a specific number

Put it all together and you get 18 + 0.12x = 30

Hope this helps dude

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

I think the answer is 100 because nothing greater than 200 if its rounded hope this helped if not sorry

Answer:

the answer is 117

sorry if wrong but that is what I got

Step-by-step explanation:

\( = - 39 \div \frac{1}{ 3} \\ \)

\( = - \frac{39}{1} \times \frac{3}{1} \\ \)

\( = - \frac{117}{1} \\ \)

\( = - 117 \)

Answer:

The top choice

Step-by-step explanation:

1/2 x -2 > 0

Add 2 to each side

1/2 x -2+2 > 0+2

1/2 x > 2

Multiply each side by 2

1/2 x *2 > 2*2

x > 4

There is an open circle at 4 and the line goes to the right

Answer:

It is the first option everything to the right of 4.

Step-by-step explanation:

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

It takes the three toed sloth 1.2 hours to walk 1/5

Step-by-step explanation:

Since the three toed sloth can travel up to 1/6 mile in 1 hour, we need to find the time it will take the sloth to walk 1/5 mile.

Now, since 1/6 mile is travelled in 1 hour, then by proportionality,

1/6 mile = 1 hour

1/6 mile × 6 = 1 hour × 6

1 mile = 6 hours.

So for 1/5 mile, we multiply both sides by 1/5

1/5 × 1 mile  = 1/5 × 6 hours

So, 1/5 mile = 6/5 hours

1/5 mile = 1.2 hours

So, it takes the three toed sloth 1.2 hours to walk 1/5 mile

The random probability of event X, wheel stopping on a white slice is 0.9 while the probability of not X, wheel stopping on Grey slice is 0.1

Therefore, the probability that wheel stops on a white slice is 0.9 while, the probability that wheel does not stop on a white slice is 0.1

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Answer:

The answer is pi and the estimate is 3.14

Step-by-step explanation:

Just took the test for plato and Edmentum users only

The estimated value of the expression is π which is approximately equal to the number 3.14.

Simplification is to make something easier to do or understand and to make something less complicated.

The expression is given below.

\(\Rightarrow \dfrac{5\sqrt2 \pi - 4\sqrt2 \pi}{\sqrt2}\)

Taking √2and π common, then we have

\(\rightarrow \dfrac{(5 - 4)\sqrt2 \pi}{\sqrt2}\\\\\\\rightarrow \dfrac{\sqrt2 \pi}{\sqrt2}\\\\\\\rightarrow \pi \approx 3.14\)

The value of the expression is 3.14.

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The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.

Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.

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The inequality to represent the amount of money, Marquis earned for the fund-raiser is d ≥ 15p

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let the cost of each paper be p.

Since Marquis sold gift-wrapping paper for a school fundraiser and he sold at least 15 rolls of paper.

An inequality to represent the amount of money, Marquis earned for the fund-raiser is:

d ≥ (15 × p)

d ≥ 15p

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When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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Answer:

b would be a negative number

Answer:  The sign of b is negative or  -

Step-by-step explanation:

If you multiply two negative numbers you will have a positive number. And if you multiply a positive and negative numbers you will have  a negative answer.

Answer:

Step-by-step explanation:

(4-14)÷(2-12)=-10÷-10

                  = 1