What are the zeros of the function f(x) = (2x+6)(x-4)?A. X = 6 and x = -4B. x = 3 and x = -4C. x = -3 and x = 4D. X=-6 and x = -4

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

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

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

P = 15p - 35

Step-by-step explanation:

Regular means that all sides have the same length

A pentagon has 5 sides

P = 5s

P = 5( 3p -7)

Distribute

P = 15p - 35

Answer:

- 4 < x < 2

Step-by-step explanation:

- 1 < x + 3 < 5 ( subtract 3 from each interval )

- 4 < x < 2

Answer:

estudia no seas huevon

Step-by-step explanation:

wuuang wo chi zu woang tu wunng cha chu chimga tu madre

xxd

Answer:

$3,787

Step-by-step explanation:

frist find the amount of intrest

3,500 X 0.082 X 1 = 287

next add the oragial amount to the amount of intrest

3,500 + 287 = 3,787

Answer:

All are functions

Step-by-step explanation:

A.  y = x + 9  A graph of a line. There are no x-values that are the same on the graph. The graph passes the vertical line test.

B.    x + y = 9

       y = -x + 9   A graph of a line.  There are no x values that are the same number on the graph.  The graph passes the vertical line test

C.  x + 3 = y²

   \(\sqrt{x + 3} = y\)  The graph passes the vertical line test. On the graph, there are no x-values that are the same number.

D.   y = x² - 3   The graph is a parabola. The graph passes the vertical line test (there are no x- values are the same number on the graph).

Answer:

Barry is 167.64 inches

Step-by-step explanation:

The best represents Barry's height in centimeters is: 167.64cm

Here, we have,

given that,

Barry is 66 inches tall.

we know that,

1 inch is approximately 2.54 centimeters

Since 1 foot = 2.54 centimeters

all we need to do is to multiply 66 with 2.54

i.e. 66 × 2.54  = 167.64

The answer will be 84.

best represents Barry's height in centimeters is: 167.64cm.

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Answer:

x=2

Step-by-step explanation:

10x2=20

20+1=21

Let:

L = length of the road

D = Days of construction

We can write a linear equation in the slope-intercept form:

Where:

m = Slope = rate = 1 mile per day

b = y-intercept = Initial value = 10 miles

Therefore:

The graph is:

The cost of the television before the delivery charge and taxes is $452.40.

To determine the cost of the television before the delivery charge and taxes, we need to subtract those amounts from the total cost.

Delivery charge: $12

Taxes: 14% of the cost

Let's calculate the taxes first. The tax amount is found by multiplying the total cost by 14% (or 0.14):

Tax amount = 0.14 * $540 = $75.60

Now, we subtract the delivery charge and tax amount from the total cost to find the cost of the television before these additional charges:

Cost of television = Total cost - Delivery charge - Taxes

Cost of television = $540 - $12 - $75.60

Cost of television = $452.40

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Answer:

(2,9)

Step-by-step explanation:

we start at the point (2,3) and moving up 6 units

when we move up or down, we are changing the value of the y-coordinate. Since we are moving up, the value of the y-coordinate increases (makes sense, if you are thinking about a graph. The further you go up, the larger the y value becomes).  

However, the x-coordinate will stay the same (no instructions on moving left or right {that changes the x value}). That means the y value will increase by 6 while the x value will stay the same.

so add 6 to 3 and get 9, and add nothing to 2

therefore, the point we end on will be (2,9)

if you would like to see a graph for clarity/visualization, please see below

The maximal amount of medically unsupervised weight loss that an adult should aim for in one week is generally 1-2 pounds (0.5-1 kg). This is because losing weight too quickly can be harmful to your health and lead to a number of negative side effects, such as muscle loss, fatigue, dehydration, and gallstones.

It's important to note that the amount of weight an individual can lose in a week can vary depending on factors such as their starting weight, body composition, and overall health. In some cases, a doctor or other medical professional may recommend a faster rate of weight loss under close supervision, but this is generally reserved for people who are severely overweight or have medical conditions that require rapid weight loss.

Ultimately, it's important to approach weight loss in a healthy and sustainable way, with a focus on making long-term lifestyle changes rather than relying on quick fixes or fad diets. A balanced diet, regular exercise, and a consistent sleep schedule are all important components of a healthy weight loss plan.

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Answer:

u should try to solve it before u post the question

There is no percentage of 1 2, as percentages are a fraction of 100 and 1 2 is not a fraction.

A percentage is a fraction of 100, while 1 2 is not a fraction. Therefore, there is no percentage of 1 2.A percentage is a way to express a number as a fraction of 100. For example, 25% is equivalent to the fraction 25/100. However, 1 2 is not a fraction, and therefore cannot be expressed as a percentage.1 2 can be expanded to 100 by multiplying both numerator and denominator by 50. 1 2 would then be equal to 50/100, or 50%.

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The value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division can be interpreted as an equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  \(a \div b\) = a divided in b equal parts.

WE have been given that (6×10^11)÷(3×10^15) .

Simplify;

(6×10^11)÷(3×10^15)

To solve the exponent first;

10^11 - 15 = 10^-4

Now we get;

(6 )÷(3×10^-4)

2 ×10^4 = 2 ×10 ×10×10×10

= 20,000

Hence, the value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.

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The area of the rectangle is 500 cm², which is equivalent to 5000 mm².

To calculate the area of a rectangle, we multiply its length by its width. Let's assume the length of the rectangle is L and the width is W. In this case, the area (A) of the rectangle is given as A = L × W.

Now, we are given the area of the rectangle, which is 500 cm². To convert this to mm², we need to use the conversion factor 1 cm = 10 mm. When dealing with squared units, we square the conversion factor as well. Therefore, 1 cm² = (10 mm)² = 100 mm².

To convert the area from cm² to mm², we multiply the given area by the conversion factor: 500 cm² × 100 mm²/cm² = 50000 mm².

Hence, the area of the rectangle is 500 cm², which is equivalent to 5000 mm² after converting using the dimensional analysis.

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Given: An objective function

with constraints-

Required: To graph the linear inequalities representing the constraints and determine the objective function's value at each corner.

Explanation: The inequalities can be graphed by considering them as equations and then determining the shaded region by less than or greater than symbol.

The equation for the first inequality is-

This represents a straight line passing through points (6,0) and (0,12).

The shaded region will be below this line as the inequality is-

Similarly, the inequality-

Represents a shaded region above the line x+y=6.

The inequalities-

Represents the positive values of x and y. Hence we need to determine the graph in the first quadrant.

The graph of the inequalities is-

The graph in blue represents the inequality-

While the graph in green represents the inequality-

The corner points of the common shaded area are A(0,6), B(0,12), and C(6,0).

Now the value of the objective function at these points is-

a) At A(0,6)

b) At B(0,12)

c) At C(6,0)

Final Answer: a) The graph is drawn.

b) 36,72,18

Answer:

Hi! The answer to your question is 12

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Step-by-step explanation:

Given

\( \frac{8}{ \frac{2}{3} } \\ = 8 \times \frac{3}{2} \\ = 4 \times 3 \\ = 12\)

Hope it will help :)❤

Answer:

vertical line

Step-by-step explanation:

I did that on my test

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Due to no match in linear model and residual plot, the correct option is B - Yes, there is no clear pattern in the residual plot.

What is linear model?

Depending on the context, the phrase "linear model" is used differently in statistics. The word is frequently used interchangeably with a linear regression model since it occurs most frequently in relation to regression models.

The linear model displays a straight line.

The line is at the origin (0,0).

The residual plot is a curve plot.

It does not match the linear plot model.

The residual plot is far from same as the linear model.

Therefore, there is no clear pattern in the residual plot.

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All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Answer:

114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399

Step-by-step explanation:

These are all the three-digit numbers that are a multiple of 19.

Answer:

114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399

PLS GIVE BRAINLIEST

Answer:

t = 3 hours, therefore it cannot be 4 hours

Step-by-step explanation:

Divide the miles traveled by the rate you traveled. This will find the time it took to travel.

180/60 = 3

You drove 3 hours to travel 180 miles, therefore t cannot equal 4.

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

In order to calculate the new divisor for a 3-for-4 reverse stock split, we must first calculate the new share price for Able. Since 3/4 of the shares are being replaced with just 1/4 of the old shares, the new price for Able will be $111 (3 x $37 = $111).

The divisor is used to calculate the new index value by dividing the sum of the new share prices by the divisor. Therefore, the new divisor will be 1.33 ($111 + $312 + $94 = $517 / 1.33 = $389.28). This is because the new share prices will total $517 and when you divide that by the divisor, the index value will be $389.28.

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