what is the factorization of -2x^3 + 2x^2 +12x

ANSWER

AC = 18

EXPLANATION

Let us draw a diagram to represent the situation:

From the diagram, we see that:

AC + CE = AE (since they are colinear)

So, we have that:

AC + x + 32 = x + 50

=> AC = x + 50 - x - 32

AC = 18

That is the value of AC.

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

2884 pieces

Step-by-step explanation:

First you have to multiply 2 and 226:

2 x 266 = 532

Then you have to multiply 4 and 558:

4 x 558 = 2352

After that you have add those two to make your answer:

532 + 2352 = 2884

There is your answer.

\(4 + 20 = 8d \\ \\ 8d = 24 \\ \\ d = \frac{24}{8} \\ \\ d = 3.\)

The value of d is 3 .

Answer:

(-6, 1)

Step-by-step explanation:

Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.

Difference in x from D to F:

-9 - (-1) = -8

5/8 * (-8) = -5

Difference in y from D to F:

-5 - 11 = -16

5/8 * (-16) = -10

x: -1 - 5 = -6

y: 11 - 10 = 1

Answer: (-6, 1)

The coordinates are (-6, 1).

When a point divides a line segment externally or internally in some ratio, we use the section formula to find the coordinates of that point. It is a handy tool used to find the coordinates of the point dividing the line segment in some ratio. This section formula can also be used to find the midpoint of a line segment and for the derivation of the midpoint formula as well.

Given:

D(-1,11) and F(-9,-5)

DE : DF is 5:8

So,

DE: EF= 5 : 3

Using section formula

x= 3*(-1) + 5*(-9)/5+3

x= -3 -45 /8

x= -48/8

x= -6

and,

y= 3*11 + 5*(-5) / 8

y= 33-25/8

y= 8/8

y=1

Hence, the coordinates are (-6, 1).

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Answer:

x = 24 in

Step-by-step explanation:

The corresponding  sides of similar triangle will be in same proportion.

\(\frac{x}{8}=\frac{15}{5}\\\\\frac{x}{8}=3\\\\x = 3*8\\x = 24\)

Step-by-step explanation:

x/15 = 8/5

x = 15 * 8 / 5

x = 24

answer

x = 24 in

The incorrect statement is the reflection is over x-axis.

Given that an image has been reflected to form another image, we need to find the incorrect statement from the given options,

A reflection is known as a flip.

A reflection is a mirror image of the shape.

An image will reflect through a line, known as the line of reflection.

A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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The incorrect statement is the reflection is over x-axis.

Given that,

an image has been reflected to form another image, we need to find the incorrect statement from the given options,

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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Answer:

Is there multiple choice to this question?

anyway the answer maybe is: 0

"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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Answer:

3x – y – 8 = 0

Step-by-step explanation:

y = 3x – 8 can be written in standard form as

3x – y – 8 = 0

-TheUnknownScientist 72

Katlyn’s math score of 561 is in the 92nd percentile.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)  / standard deviation

Given mean of 490 and a standard deviation of 50.

The 92nd percentile has a z score of 1.41

Hence:

1.41 = (x - 490)/50

x = 561

Katlyn’s math score of 561 is in the 92nd percentile.

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Answer: She would've used 82 gallons

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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Answer:

16 per hour

Step-by-step explanation:

12/45         x/60 cross multiply

45x=720 divide by 45 from each side

x=16

Answer: angle ITU = 145 degrees

===============================================

Explanation:

Angle STU is the largest angle composed of the smaller angles STI and ITU.

In other words, the two smaller angles add up to the larger one.

(angle STI) + (angle ITU) = angle STU

( 20 ) + ( 12x+1 ) = 13x + 9

20+12x+1 = 13x+9

12x+21 = 13x+9

21-9 = 13x-12x

12 = x

x = 12

Using this x value, we find that,

angle ITU = 12x+1 = 12(12)+1 = 145 degrees

----------

As a side note,

angle STU = 13x+9 = 13(12)+9 = 165 degrees

This is confirmed with

(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

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

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Given the inequality:

We can find the values of x that satisfies the inequality by :

Is x =4 a solution?

The answer is yes. This is because the range of values that satisfies the inequality include :

The correct answer is (a). P′(2005) represents the growth rate (in people per year) of the population in 2005.

This is because P′(t) is the derivative of P(t), which measures the rate of change of P(t) concerning t.

In other words, P′(t) tells us how fast the population is changing at a given year t.

The units of P′(t) are the same as the units of P(t) divided by the units of t, which are millions of people per year.

Therefore, P′(2005) gives the number of millions of people by which the population changed in 2005. To find the actual number of people, we would have to multiply P′(2005) by one million.

The derivative can help us analyze the behavior of the population function, such as it's increasing or decreasing intervals, its maximum or minimum values, and its concavity or inflection points. The derivative can also help us model and predict the future trends of the population based on the current data and assumptions.

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Answer:

Step-by-step explanation:

Answer: 23 7/10

Step-by-step explanation:

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

1. The Similarity between AD and AB is that AD is half the length of AB.

2. The areas of triangles ACD and BDC are equal.

3. We can say that if AC is the longest side, then CB is the shortest side

4. False, The relationship between AD and AB is that AD is half the length of AB.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

1) Since D is the midpoint of AB, we know that AD and DB have the same length. Therefore, we can say that:

AD = DB

Substituting AB for AD + DB, we can simplify to:

AB = AD + AD

or

AB = 2AD

So, the relationship between AD and AB is that AD is half the length of AB.

2) The areas of triangles ACD and BDC are equal, and we can write:

Area of ACD = (1/2) * AC * AD

Area of BDC = (1/2) * BC * DB

Since AD = DB, we can substitute and get:

Area of BDC = (1/2) * BC * AD

So, we can see that the areas of ACD and BDC are equal, and their bases AD and DB have the same length. Therefore, triangles ACD and BDC are equal in area and shape (they are congruent).

3) we can say that if AC is the longest side, then CB is the shortest side

4) False,

The relationship between AD and AB is that AD is half the length of AB.

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The measure is between 33.0 and 33.1, then there are (33.0 + 33.1)/2 =

33.05 grams

Answer:

Step-by-step explanation:

To find the coterminal angle with 887, we can add or subtract any multiple of 360°.

Adding a multiple of 360°:

887 + n(360)

where n is an integer.

Subtracting a multiple of 360°:

887 - n(360)

where n is an integer.

To find the angle between -0° and -36°, we need to subtract a multiple of 360° from 887 to get an angle between -0° and -36°.

887 - n(360) = -x

where x is the angle between -0° and -36°.

We can solve for x:

x = 887 - n(360)

We want x to be negative, so we need to choose a value of n such that 887 - n(360) is less than 0.

If we set n = 3, then:

x = 887 - 3(360) = 47

So, the angle between -0° and -36° that is coterminal with 887 is 47 degrees.

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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Answer:

The answer:

n= 1/6

n=0.16

Answer:

log64/ log 16 -2 / -3

Step-by-step explanation:

(-3n +2) = log64/log16

-3n = log64/log16 - 2

n = log64/log16 -2 /-3

I divide both sides by log theres another way to do it but I forget. it etheir becomes 64^16 -2/3 or 16^6= -2 /3

The answer to the question about how many teams completed the escape room in 45 minutes or less is 6.

A dot plot is a type of chart used to display the distribution of a dataset. It is also known as a dot chart, strip plot, or dot graph. In a dot plot, each data point is represented by a dot placed along a horizontal or vertical axis.

Dot plots are useful for showing the distribution of a small to moderate-sized dataset, and are especially helpful when you want to compare the distribution of two or more datasets side by side. They are also useful for identifying outliers or gaps in the data

If we count the amount of dots on 45 and before 45 and add them up, the answer is 6

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