(6x)
(2x + 10) plssssssss helpppp meeeee

Answer:

The two factors are (x + 3) and (x - 8)

Step-by-step explanation:

The given function is x² + b·x - 24

The difference between the factors = 11

The sign of coefficient b = Negative

Therefore, we have;

The factors as (x - c) and (x + d)

-b = d - c...(1)

d × (-c) = -24...(2)

(x + d) - (x - c) = 11

Which gives;

x + d - x  + c = 11

∴ d + c = 11...(3)

From equation (3), we have;

d = -24(-c) = 24/c

d = 24/c

Substituting the value of d in equation (3) gives;

d + c = 24/c + c = 11

24/c + c = 11

∴ c² + 24 = 11·c

c² + 24 - 11·c = 0

c² - 11·c + 24 = 0

(c - 8)·(c - 3) = 0

c = 8 or 3

From d + c = 11, we have, d = 3 or 8

Given that -b = d - c, therefore c > d and c = 8, d = 3

Therefore, the two factors are (x - 8) and (x + 3).

The central bright spot will be surrounded by rings of decreasing intensity as you move away from the center. The pattern will be symmetrical around the central axis.

To answer this question, we first need to calculate the number of Fresnel zones "seen" from point P, which is 6.00m away from the opaque screen. The Fresnel zone formula is as follows:

Number of zones = (π * d^2) / (4 * λ * L)

where:
d = diameter of the circular hole (6.00mm)
λ = wavelength of the light (500nm)
L = distance between the screen and point P (6.00m)

First, let's convert the units of d and λ to meters for consistency:

d = 6.00mm * (1m / 1000mm) = 0.006m
λ = 500nm * (1m / 1,000,000,000nm) = 5 * 10^-7m

Now, we can plug the values into the formula:

Number of zones = (π * (0.006)^2) / (4 * 5 * 10^-7 * 6)
Number of zones ≈ 37.68

Since the number of zones must be an integer, there will be 37 Fresnel zones seen from point P.

To determine if point P will be bright or dark, we need to check if the number of zones is odd or even. In this case, 37 is odd, so point P will be bright.

Roughly, the diffraction pattern on a vertical plane containing P will consist of alternating bright and dark concentric rings. The central bright spot will be surrounded by rings of decreasing intensity as you move away from the center. The pattern will be symmetrical around the central axis.

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Answer:

612

Step-by-step explanation:

To find this answer, you can invert the equation:

452.88 = 0.74x

x = 452.88 / 0.74

x = 612

The number 452.88 is 74% percentage of the number 612.

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the number of 452.88 is 74%

Let x be the number

74/100×x=452.88

74x/100 = 452.88

Multiply both sides by 100

74x=45288

Divide both sides by 74

x=45288/74

x=612

Hence, 452.88 is 74% of the number 612.

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The equation of the blue graph is y = -x² + 5. We can determine the general form of the equation for the red graph

To determine the equation of the red graph, let's analyze the given equation for the blue graph, f(x) = 5 - x². The equation represents a downward-facing parabola with its vertex at the point (0, 5). The general form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Comparing f(x) = 5 - x² with the general form, we can see that a = -1, b = 0, and c = 5. Therefore, the equation of the blue graph is y = -x² + 5.

Given that the red graph has the same shape as the blue graph, it will also have a downward-facing parabola. However, the vertex might be at a different position.

To determine the equation of the red graph, we need to find the equation that represents the same parabolic shape but with a different vertex. Let's assume the vertex of the red graph is at the point (h, k), where h and k are constants.

Using the standard vertex form of a quadratic equation, the equation of the red graph can be written as:

g(x) = a(x - h)² + k

To find the equation, we need to determine the values of a, h, and k. Since the shape of the red graph is the same as the blue graph, we know that a = -1.

The vertex of the red graph is not given explicitly in the problem, so we cannot determine the exact equation. However, we can conclude that the equation of the red graph will have the form:

g(x) = -(x - h)² + k

where h and k represent the coordinates of the vertex of the red graph.

In summary, we can determine the general form of the equation for the red graph, but without additional information about the specific vertex, we cannot determine the exact equation.

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Answer:

B) 2(3x^2+10x+15

Step-by-step explanation:

According to Euler's formula for planar graphs, a planar connected graph with 16 edges and 10 faces must have 9 vertices. Euler's formula states that for any connected planar graph, the number of vertices (V), edges (E), and faces (F) are related by the equation V - E + F = 2.

In this case, we are given that the graph has 16 edges and 10 faces. Plugging these values into Euler's formula, we have V - 16 + 10 = 2. Simplifying the equation gives V - 6 = 2, and solving for V yields V = 8. However, we need to remember that the graph is connected, which means that every vertex is connected to at least one other vertex. Since the graph has 9 faces, there must be at least 9 vertices to ensure connectivity. Therefore, the graph has 9 vertices.

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Answer z= 43/36

Step-by-step explanation:

We have given,

2 13/18 - z = 1 19/36

Since 2 13/18 = 49/18  and 1 19/36 = 55/36

So we can write,

2 13/18 - z = 1 19/36

or 49/18 - z = 55/36

or 49/18 - 55/36 = z

or (98 -55)/36 = z

or 43/36 = z

Hence we got z = 43/36

Answer:

20

Step-by-step explanation:

p = 1 day

300 = 15

300/15 = 20

Jennifer reads 20 pages per day

Answer:

p = 20

Equation:

p × 15 = 300

Step-by-step explanation:

p × 15 = 300

300 / 15 = p

20 = p

The question given is incomplete as the information about the headphones isn't given.

However, we can solve the problem by using hypothetical values.

Answer:

Kindly check explanation

Step-by-step explanation:

Given

Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.

Let :

The number of defective headphones = 10

The total number of headphones on the sample = 50

To express as a ratio :

Defective headphones : total headphones

10 : 50 = 1 : 5

To express as a percentage ;

1 / 5 * 100% = 20%

The values of x and y that make RAPT a parallelogram are;

x = 15 and y = 25

Angle T and angle P are supplementary angles by parallel lines. Thus they sum up to 180 degrees and we have;

3x + 10 + 8x + 5 = 180

11x + 15 = 180

11x = 165

x = 15

T = 55°

P = 125°

Likewise R and T are supplementary angles by parallel lines and so we have;

55 + 5y = 180

5y = 180 -55

5y = 125

y = 25

R = 125°

A must be 55° since the angles add up to 360°.

R + A + P + T =

125 + 55 + 125 + 55 = 360°

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Answer:

\( a_{12}= -341,796,875\)

Step-by-step explanation:

Given geometric sequence is: 7, -35, 175

\( a_1= 7\)

\( r= \frac{-35}{7}=-5\)

n = 12

nth term of a geometric sequence is given as:

\( a_n= ar^{n-1} \)

Plug the values of a, r and n in the above equation, we find:

\( a_{12} = 7\times (-5)^{12-1} \)

\( a_{12}= 7\times (-5)^{11} \)

\( a_{12}= 7\times -48,828,125\)

\( \purple {\bold {a_{12}= -341,796,875}} \)

Answer:

-341796875

Step-by-step explanation:

In order to prove that the angles RST and TUR are congruent, the lines 1, 2 and 3 of statements and reasons are correct.

Since triangles RST and TUR have all three sides congruent, so they are congruent triangles by case SSS.

For the line 4, the statement is "angle RST congruent to angle TUR" (what we want to prove), and the reason is "corresponding angles of congruent triangles".

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

\(3(x - 7)(x+7)\)

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that \(3x^2\) and -147 both have. The terms only have 3 in common, which can be divided with

\(3x^2 - 147\\3(x^2 - 49)\)

However, we're still not done since 49 is a perfect square and \((x^2 - 49)\) can be split into 2, like so:

\(3(x - 7)(x+7)\)

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

Answer:

The qs is not clear.

Simply put values of a and b and you will get the ans.

Step-by-step explanation:

A certain bacteria colony doubles its population every 4 hours. After 5 hours the total population consists of 500 bacteria. Assuming that the growth rate of the population is proportional to the current population, the initial population of this bacteria colony was approximately 222 bacteria.

To solve this problem, we can use the exponential growth formula, which states that the population P at a given time t is given by:

P = P₀ × 2^(t/h)

Where:

P₀ is the initial population,

t is the time in hours,

h is the doubling time (time it takes for the population to double).

In this case, the doubling time is given as 4 hours. We are given that after 5 hours, the total population is 500. Plugging these values into the formula, we get:

500 = P₀ ×2^(5/4)

To find the initial population P₀, we can rearrange the equation as follows:

P₀ = 500 / 2^(5/4)

Calculating the value on the right side:

P₀ = 500 / 2^(1.25)

P₀ ≈ 500 / 2.244

P₀ ≈ 222.6

Therefore, the initial population of this bacteria colony was approximately 222 bacteria.

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Answer:

1. y-int=5, concave up, a greater than 0

2. y-int=-3, concave down, a less than 0

3. y-int=0, concave up

Step-by-step explanation:

The calculation below shows that the total average credit card debt was or will be 12,330 in the year 2011.

From the question, we have the following:

t = 2011 - 1995

t = 16

Therefore, the total average credit card debt in 2011 can be calculated as follows:

Total average credit card debt = 405t + 5850 ..................... (1)

Substituting t = 16 into equation (1), we have:

Total average credit card debt = (405 * 16) + 5850

Total average credit card debt = 6480 + 5850

Total average credit card debt = 12,330

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Answer: x>3

Step-by-step explanation:

3x + 2 > X + 8

2x  > + 8 - 2

2x > 6

x > 3

375 calories are in three tablespoon of olive oil

In mathematics, Variables are unknowns which are written as alphabets use to find a value for some quantity.

Variables doesn't have a fixed value. It can change . Usually we use small alphabet like x ,y and z for denoting Variables.

According to the question,

let the number of calories in olive oil be a variable "x"

it's given that

One tablespoon of olive oil total calories = 125 calories

we have to calculate number of calories in 3 tablespoon of olive oil

1 tablespoon = 125

3 tablespoon = 125 × 3

=> 375 calories

Hence, three tablespoon of olive oil contains 375 calories

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The answer is c. because all of the other answers arne tpossible due to where they graphed it

Answer: 270

Step-by-step explanation:

just keep adding 30 to the 90 6 more times.

Answer:

x=216

Step-by-step explanation:

6^x/4=54

6^x/4-(54)=0

6^x-54*4=0

6^x-216=0

6^x=216

x=216/1

x=216

Answer:

\( - 6(x - 4) = 54 \\ - 6x + 24 = 54 \\ - 6x = 54 - 24 \\ - 6x = 30 \\ \frac{ - 6x}{6} = \frac{30}{6} \\ - x = 5 \\ ( - x = 5) \times - 1 \\ x = - 5\)

Answer:

\(area = (6 + 2y) \times (8 + 2y)\)

Step-by-step explanation:

when we visualize this problem, we see that for each dimension, we add 2y to its size. for width, we add y for the left and right sides of the frame, and for height, we add y for the top and bottom parts.

this gives us the dimensions of the frame in terms of the dimensions of the picture and y:

the frame is (6+2y) by (8+2y)

the area of a rectangle is calculated by multiplying its side-lengths, so we get:

\(area = (6 + 2y) \times (8 + 2y)\)

Answer:

30/40 and 12/16 are equivalent fractions.

Answer:

\($y=\frac{8}{3}x-\frac{23}{3}$\)

Step-by-step explanation:

See picture below :)

Answer:

Step-by-step explanation:

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

         =(-5-3)/(1--2)

         =-8/3

y=mx+b

y=-8/3x+b

[Insert one of the points into the equation]

(1,-5)

-5=(-8/3*1)+b

-5=-8/3+b

-5+(8/3)=b

b=-2.33

y=(-8/3)x-2.33

Answer:

Its B i did this for math

Step-by-step explanation:

The graph of the equation is linear with a slope of 1 / 3 and a y-intercept of -2. The graph is attached with the answer.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph of the linear equation y = 1/3x - 2 cut the equation at the point (6, 0 ) and (0,-2).

Therefore, the graph of the equation is linear with a slope of 1 / 3 and a y-intercept of -2. The graph is attached with the answer.

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