4h(x)=x−4h, left parenthesis, x, right parenthesis, equals, x, minus, 4

what is the domain of h?h?

Answer:

\( {3x}^{2} + 2x\)

Solution,

\(x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x\)

hope this helps...

Good luck on your assignment..

Answer:

3x²+2x

Step-by-step explanation:

=> x(3x+2)

Using distributive property

=> (x*3x)+(x*2)

=> 3x²+2x

Answer:

See below.

Step-by-step explanation:

So, here's how to break it down. Percentages can be turned into decimals, and vice versa, so we shall change 30% in 0.3. Next, we multiply 3.60 by 0.3. giving us 1.8. we subtract 1.8 from 3.6 and we are left with 1.8, which can be rounded up to two. I'm not sure where 2 came from other than estimation, but I did the math and got 1.8.

Answer:

a) Non car si le fils a 10 ans la mère a 30 ans et le père 33 or 10+30+33=73

b) Oui car si le fils a 12 ans la mère a 36 ans et le père 39 et 12+36+39=87

Step-by-step explanation:

Work Shown:

g(x) = -x+2

g(5) = -5+2 ... replace every x with 5

g(5) = -3

Answer:

g(5) = -3

Step-by-step explanation:

given:

\(g(x ) = - x + 2g(x) = - x + 2\)

find:

\(g(5)\)

replace x with 5

\(g(5) = - 5 + 2\)

\(g(5) = - 3\)

The system of equations can be used to find the roots of the considered  equation is y = 4+x^2 and y= x^3 + 2 + x

We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.

For the given case, we are given with the equation \(4+x^2 = x^3 + 2 + x\)

We can take two equations as:

\(y = 4+x^2 \\y= x^3 + 2 + x\)

And when we will try to solve this system of equation, we will end up substituting the value of y in terms of x, and therefore, ending up on the same equation \(4+x^2 = x^3 + 2 + x\)

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Answer:

D

y=4x^2

y=x^3+2x

Step-by-step explanation:

im trying to pass just like yall, Good luck to all

The distance between a point on the ground directly below the helicopter and the landing pad can be found using trigonometry.

Given that the helicopter is flying at an elevation of 370 feet and the angle of depression to the landing pad is 20 degrees, the distance can be calculated. The answer, rounded to the nearest foot, represents the horizontal distance from the point on the ground directly below the helicopter to the landing pad.

To find the distance between the point on the ground and the landing pad, we can use the trigonometric concept of the tangent function. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side represents the elevation of the helicopter (370 feet) and the adjacent side represents the horizontal distance we want to find.

Using the tangent function, we can write the equation:

tan(20 degrees) = 370 / x,

where x represents the unknown distance we want to calculate.

To solve for x, we rearrange the equation:

x = 370 / tan(20 degrees).

Evaluating the expression on the right-hand side, we find the value of x, which represents the distance between the point on the ground and the landing pad. Rounding the answer to the nearest foot provides the final result.

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Answer:

f(x) = \(x^{3}-13x-12\)

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Rise/Run

i think its 1/2

Answer:

The slope of the line would be -2/3.

Step-by-step explanation:

Using the formula y2-y1/x2-x1, plug in the numbers of the two points and then you get an answer of -2/3, which would be the slope of the line.

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Rounding to the nearest hundredth, the rate of change of the function is -1s.13.

A function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is related to exactly one output. A function can be thought of as a machine that takes an input and produces a unique output. The input is also known as the independent variable and the output is known as the dependent variable, since it depends on the input.

To find the rate of change of the function passing through the points (6, 6), (7, 4.74), and (8, 3.75), we can use the formula:

rate of change = (change in y) / (change in x)

Let's calculate the change in y and change in x between each pair of points:

For (6, 6) and (7, 4.74):

change in y = 4.74 - 6 = -1.26

change in x = 7 - 6 = 1

For (7, 4.74) and (8, 3.75):

change in y = 3.75 - 4.74 = -0.99

change in x = 8 - 7 = 1

Now we can plug in the values to find the average rate of change:

rate of change = (change in y) / (change in x)

= (-1.26 - 0.99) / (1 + 1)

= -2.25 / 2

= -1.125

Rounding to the nearest hundredth, the rate of change of the function is -1.13.

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#4= -8

#5= 781

#6= 1.34×10(3) (Exponent)

Answer:

x + 15 = 83

Step-by-step explanation:

x-15=83 shows that his first test score without the 15 points is 83, which isn't true because it says he raised it by 15 in the statement

x=15+83 shows that his first test score was 15 + 83, obviously not true because his test score was 83 - 15

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

Pentagons is that are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."

Here, we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.

Pentagonal prisms are pentagon-shaped if we look at them from the bottom.

When viewed from the side, a pentagonal prism would have a rectangular shape.

If we were to look at the pentagonal prism from the front, it would appear rectangular.

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

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On solving the provided question, we can say that In triangle DBC and BDA, So, By SSS, △DBC ≅ △BDA

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

In triangle DBC and BDA

BD = BD ( common base)

AB = CD

AD = BC

So, By SSS,

△DBC ≅ △BDA

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The potential roots of the given function, p(x) = x4 − 9x2 − 4x + 12, can be found in A: plus/minus 2 and D: plus/minus 3.

A potential root of a function is a number that when inputs into the function gives the output zero (0). It means that a potential root of the given function is a zero of the function.

To determine the zeros or potential roots of the function p(x) = x^4 − 9x^2 − 4x + 12, it is required to check each of the given values and find the values that make the given function to be zero.

Given,

             p(x) = x^4 − 9x^2  − 4x + 12

Checking +/- 2:

               p(2)  =   2^4 − 9(2)^2  − 4(2) + 12     = -16

               p(-2) = -2^4 − 9(-2)^2  − 4(-2) + 12  =    0

Checking +/- 4:

               p(4)  =   4^4 − 9(4)^2  − 4(4) + 12      =    108

               p(-4) = -4^4 − 9(-4)^2  − 4(-4) + 12    =    140

Checking +/- (1/2):

               p(1/2)  =   (1/2)^4 − 9(1/2)^2  − 4(1/2) + 12       =    7.81

               p(-1/2) = (-1/2)^4 − 9(-1/2)^2  − 4(-1/2) + 12    =   11.81

Checking +/- 3:

              p(3) =   3^4 − 9(3)^2  − 4(3) + 12     =    0

               p(-3) = -3^4 − 9(-3)^2  − 4(-3) + 12    =  24

Therefore, the potential roots of the p(x) = x4 − 9x2 − 4x + 12 function are found in the options A: plus/minus 2 and D: plus/minus 3.

"

Complete question:

Select all of the following that are potential roots of p(x) = x^4 − 9x^2 − 4x 12?

A: plus/minus 2

B: plus/minus 4

C: plus/minus (1/2)

D: plus/minus 3

"

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Asarwar here is wrong,

The correct answer is +/-2, +/-4, +/-3, +/-6, and +/-12

The answer to part B, which Asarwar neglected to add is as follows:

p(-2) = 0

p(2) = -16

The value -2 is a root of p (x)

Great work buddy, not really

Good luck everyone

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

Answer:

<1=157 sup

<2=23 opp exterior angle

<3=157 vertical

<4=23 vertical

<5=157 corresponding

<6=23 vertical

<7=157 vertical

Step-by-step explanation:

The three different ways are:

The greatest common divisor (GCD) of 3 and 4 is 1, which can be expressed as a linear combination of 3 and 4 in multiple ways. The above expressions are three examples of how 1 can be represented as a linear combination of 3 and 4.

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.The GCD of two or more integers can be found using various algorithms, such as the Euclidean algorithm, the binary GCD algorithm, and the extended Euclidean algorithm.

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The undefined geometric term described is a point.The undefined geometric term described as a location on a coordinate plane that is designated is called a point. A point is a fundamental concept in geometry and represents a specific location in space.

In geometry, a point is a fundamental concept that represents a specific location in space. It is considered an undefined term because it is not defined in terms of other geometric objects. A point has no size or dimensions and is typically represented by a dot. On a coordinate plane, a point is designated by its coordinates, which consist of an ordered pair (x, y). The x-coordinate represents the position along the horizontal axis (x-axis), and the y-coordinate represents the position along the vertical axis (y-axis). So, a point is a designated location on a coordinate plane.It is typically represented by a dot and has no size or dimensions. In a coordinate plane, a point is defined by its coordinates, which consist of an ordered pair (x, y) that indicates its position along the x-axis and y-axis.

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Answer:

1) 45 minutes

2) they meet in 20 minutes

3) (12-6)/(20/60)=18kmh

Answer:

2π/3 I believe !

Step-by-step explanation:

Maximum two hours of gaming a day is healthy.

What is meaning of healthy?

Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."

Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.

The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.

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Given that the system of equations is

x′=3x−4yy′=2x2

y′′−3y′+y=0

y′′−3y′+8y=0

y′′−y′−2y=0

y′′+5y=0

To transform the system of equations into a single equation of second order, follow the steps given below:Step 1: Rearrange the first equation asx′−3x+4y=0

Step 2: Differentiate the second equation to gety′′=2x′

Step 3: Substitute x′ from the first equation in step 1 to get

y′′=2(3x−4y)y′′−6x+8y=0

Step 4: Differentiate the third equation to gety

′′′−y′=−2y′′

Step 5: Substitute y′′′ from the fourth equation in step 4 to gety′′−y′+2y=0

Step 6: Substitute y′′ from step 3 to get the final equation as2

(3x−4y)y′′−6x+8y−(2y′−y)=0

Hence, the single equation of second order that represents the given system of equations is2

(3x−4y)y′′−6x+8y−(2y′−y)=0,

which is the final answer.

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Using system of linear equations, the number of cars and trucks that parked are 950 and 150 respectively.

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.

To solve this problem, we have to write out two equations and solve the unknown variable.

x + y = 1100 ...eq(i)

0.75x + 1.25y = 900 ...eq(ii)

From equ(i)

x = 1100 - y ..eq(iii)

Put eq(iii) into eq(ii)

0.75(1100 - y) + 1.25y = 900

y = 150

Put y = 150 in equation (i)

x + 150 = 1100

x = 1100 - 150

x = 950

x = 950, y = 150

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Answer:

4.1 -

300/22= 13.65

so the answer is 13.63

4.2

distance/speed

330/110= 3

So it'll take 3 hours

4.3

sorry not sure for this one :(

4.1

Cost of 22ltrs of petrol = Rs300

Cost of 1ltr of petrol = 300/22

= 150/11

= Rs13.63

4.2

distance = 330km = d

speed = 110km/hr = s

time = d/s

= 330/110

= 33/11

= 3hrs

4.3

SI = principal amount × rate of interest × time

\( = 2000 \times \frac{9}{100} \times 4\)

\( = 20 \times 9 \times 4\)

\( = 720\)

Amount = Principal + SI

= 2000 + 720

= Rs2720

The value of DeAndre's stock increased by $350. The price per share increased by $8.75

The first step to calculate the increase in the value of the stock is to find the difference in price between last month and today. The price per share increased from $22.50 to $31.25, resulting in an increase of $31.25 - $22.50 = $8.75 per share.

To find the total increase in value, we multiply the increase per share by the number of shares DeAndre owns. DeAndre owns 40 shares, so the total increase is $8.75 × 40 = $350.

In summary, the value of DeAndre's stock increased by $350. The price per share increased by $8.75, and since DeAndre owns 40 shares, the total increase in value is calculated by multiplying the increase per share by the number of shares.

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If you remove all of the jacks, queens, and kings from a 52-card deck, you will be left with a 40-card deck consisting only of aces and cards with ranks 2 through 10.

There are 40 choices for the first card in the hand, 39 choices for the second card (since one card has already been chosen), and 38 choices for the third card, for a total of 403938 = 60,480 unique three-card hands.

Answer:

yes

Step-by-step explanation:

The value of  9 pastries is calculated to be 22.5

Examining the given number line figure where the upper numbers represent the pastries and the lower numbers the prices in dollars

Applying proportions, the value of the pasties at 9 is calculated as follows

0 pastries is worth 0 dollars

4 pastries is worth 10 dollars

9 pastries is worth ? dollars

this is represented as

4 = 10

9 = ?

cross multiplying

4 * ? = 9 * 10

4 * ? = 90

? = 90 / 4

? = 22.5 dollars

Therefore the gap is filled with 22.5

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Answer:

0 < x < 9

Step-by-step explanation:

Mary's age = x

Twice of Mary's age = 2x

Emily's age = (2x + 3) (we are told Emily is 3 years older than twice of Mary's age)

Given that the sum of their ages is > 30, we have the following expression:

\( (2x + 3) + x \) > 30

Let's simply:

\( 2x + 3 + x \) > 30

\( 3x + 3 \) > 30

Subtract 3 from both sides

\( 3x + 3 - 3 \) > \( 30 - 3 \)

\( 3x \) > \( 27 \)

Divide both sides by 3

\( \frac{3x}{3} \) > \( \frac{27}{3} \)

\( x \) > \( 9 \)

Therefore, the inequality that represents Mary's possible age is: 0 < x < 9