Which of the following matches the graph of f (x) = 2(x + 1)2(x – 1)(x – 2)?

The above computation is called a Long Division Method of carrying out Mathematical Division.

The original question form above requires that the student divides 896 by 29. When using the long division method, 896 is called the Dividend while 29 is the Divisor.

30 is the Quotient while 26 is the remainder. Thus, 896 divided by 29 will yield 30 with a remainder of 26.

The way it works is:

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The equation that represents the number of absent students is:

30 - 26 = a

so a = 4, there are 4 absent students.

We know that there are 30 students in a given class, and particularly, today there are 26 students present.

We want to find an equation that gives the number of students absent, and that would be equal to the difference between the total number of students (30) and the number of present students (26)

Then we will get the equation:

30 - 26 = a

Solving that we get:

30 - 26 = a

4 = a

There are 4 absent students.

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Given is the parabola opening down.

It increases up to vertex and then decreases in value.

The vertex is at (3, 4) so the intervals are:

Answer:

Increasing: (-∞, 3)

Decreasing: (3, ∞)

Step-by-step explanation:

A function is increasing when the slope is positive (y gets bigger as x gets bigger).

A function is decreasing when the slope is negative (y gets smaller as x gets bigger).

From inspection of the given parabola, the turning point is (3, 4).

The function is increasing as the curve approaches the turning point.

The function is decreasing as the curve approaches infinity after the turning point.

Therefore, the intervals where the function is increasing and decreasing are:

Note: x = 3 is not included in the intervals, as the curve is not increasing or decreasing when x = 3.  There is a turning point (stationary point) at x = 3 which means the slope is zero as this point. Therefore, the function is not increasing or decreasing when x = 3.

The option C, 5 + 6 + 3 + 4 = 18 and 18 is divisible by 9, so 5,634 is divisible by 9 helps to determine that 5,634 is divisible by 9.

Divisibility rules are certain rules for each number to check whether a number is divisible by a certain number or not.

Here Ann has 5,634 number of beads.

She wants to place the beads in 9 storage boxes such that each box contains same number of beads.

For that, we have to divide 5634 by 9.

Check the divisibility of 5634 in 9.

Divisibility rule of 9 is that if the sum of the digits of a number is divisible by 9, then the given number itself is divisible by 9.

5 + 6 + 3 + 4 = 18

18 is divisible by 9.

So 5634 is divisible by 9.

Hence 5634 is divisible by 9 because of option C.

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Answer:

[tex]75.0^{\circ}[/tex]

Step-by-step explanation:

Let the angle of elevation be [tex]\theta[/tex].

[tex]\tan \theta=\frac{320}{86} \\ \\ \theta=\tan^{-1} \left(\frac{320}{86} \right) \\ \\ \theta \approx 75.0^{\circ}[/tex]

Answer: simplify the answer

Step-by-step explanation:

The present age of Ali is 14 years old and the present age of Kumar is 7 years old.

Ali: 14 years old

Kumar: 7 years old

Kumar's age is four times the age of Ali. This means that when Ali is 14 years old, Kumar is 4 x 14 = 56 years old. But then the question states that after 14 years, Kumar will be twice as old as Ali. This means that after 14 years, Kumar will be 14 + 14 = 28 years old, and Ali will be 14 + 14 = 28 years old. This means that their present ages are 14 years old (Ali) and 7 years old (Kumar).

The present age of Ali is 14 years old and the present age of Kumar is 7 years old.

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Answer:

$24833.83

Step-by-step explanation:

the equation for interest is A=P(1+r/n)^nt

plugging the numbers you have in, 28000=P(1+ .02/365)^ 365(6)

then you get 28000=P(1.000054795)^2190

then divide 28000 by (1.000054795)^2190 to get P alone

P=24833.82779

rounded to the nearest dollar would be $24833.83

Answer: 0.83,0.82,0.8

Answer:

x = 24

Step-by-step explanation:

you can match angle R with angle A to get the equation 3x-2 = 70

3x = 72

x = 24

Standard form is any positive or negative whole number more than or equal to 1 and less than 10.

When working with extremely large or small numbers, you may find that writing them in standard form, also known as standard index form, is the most convenient method. It is predicated on expressing magnitudes of numbers as powers of 10.

For example = 5.5 x 10²²

As the speed of light and the distances between galaxies can be extremely large, scientists typically employ standard form when dealing with these variables. Standard form can also be used to refer to extremely small scales, such as the size of bacteria or atoms.

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When utilising a loop, you cannot update something in the code or add a new feature. Instead, you use functions. Therefore, if you wish to modify the function you are re-calling, you should use a function rather than a loop.

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All odd-degree polynomials have at least one real root; a cubic function has one to three real roots, which may or may not be distinct. A cubic function's graph always has one inflection point.

A cubic equation could have three real roots, similar to how a quadratic equation could have two. However, a cubic equation always has at least one real root, unlike a quadratic equation, which may not have any real solutions.

The x-intercepts of a function are its roots. The y-coordinate of a point on the x-axis is always zero. As a result, we set f (x) = 0 and solve the equation to discover the roots of a quadratic function.

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Answer: (x+6) (x-8)

Step-by-step explanation:

x^2-2x-48

x^2+6x-8x-48

x*(x+6) -8(x-6)

(x+6) (x-8)

You are not going out of the same time for the same thing

Step-by-step explanation:

Uhgvhddfd dtcgxgstdd fhfgyfeywc

Gjufchhjjjjujch

Answer:

5127658756789587;'70

The equation of the graph is y=x+1.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The two points from the graph are (1,2) and (2, 4).

m=2/2=1

We have to find the y intercept.

2=1(1)+b

b=1

The slope intercept form is y=x+1

Hence, the equation of the graph is y=x+1.

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they're similar because the triangles are having the same set of angles

Answer:

x = √22

Step-by-step explanation:

This is a right triangle.

In right triangles the sum of square value of legs is equal to the square value of hypotenuse:

[tex]( { \sqrt{11}) }^{2} + ( \sqrt{11} {)}^{2} = {x}^{2} [/tex]

[tex]11 + 11 = {x}^{2} [/tex]

√22 = x

The exponential value of a number is equivalent to the number which is multiplied by itself a particular set of times.

When we represent a number in the exponential form then we can say that its power has been raised by an exponent. The exponential form is an easier way of representing repeated multiplication involving base and exponents.

The number which is multiplied by itself is called the base and the number of times it is to be multiplied is the exponent.

For example, If we have to write the exponential form of a×a×a×a×a, we can write it as a base and the number of a's as the power that is

a×a×a×a×a = a⁵

Where

a is the base

5 is the power of a

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The base of a logarithm must be a positive real number and not equal to 1 because logarithms are defined as the inverse operation of exponentiation. The base must be a positive real number to be able to raise it to the power of the argument and not equal to 1 to get a meaningful result.

The base of a logarithm represents the number that is being raised to a certain power to produce the argument of the logarithm. If the base of a logarithm is not a positive real number, it is not possible to perform this inverse operation.

For example, if the base of a logarithm is 0, it would mean that the argument of the logarithm is being raised to the power of 0, which is always 1. Therefore, the logarithm would be 0 for any argument, which does not provide any useful information.

The base of a logarithm must be a positive real number and not equal to 1 because it is not possible to raise 1 to any power to produce any value other than 1. Therefore, a logarithm with base 1 is not a meaningful concept.

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Given:

The triangle FCP is reflected across the line x = 4.

See the attached with both FCP and F'C'P' triangles shown.

The x-coordinates are 1 unit apart from the x = 4 line, hence the new coordinates are 2 units less or greater than the original one and the y-coordinates remain as is.

Reflected points:

Answer:

F' = (5, -5)

C' = (5, -4)

P' = (3, -4)

Step-by-step explanation:

When an object is reflected over a vertical line, the x-value changes but the y-value does not change.

To reflect points across x = 4, determine the distance of the x-value of each of the points to the line of reflection by subtracting 4 from the x-values:

Point F is located 1 unit to the left of the line of reflection.  Therefore, the reflection of this point is 1 unit to the right of the line of reflection.  So the reflection of point F is 2 units to the right of point F:

As point C has the same x-value as point F, the x-value of its reflection in the line of reflection will be the same as point F:

Finally, point P is located 1 unit to the right of the line of reflection.  Therefore, the reflection of this point is 1 unit to the left of the line of reflection.  So the reflection of point P is 2 units to the left of point P:

0.5( -3)(-2x - 1/3+ 4 + 8x) and -1.5(12x -7) expressions are not equivalent

given that

first expression = 0.5( -3)(-2x - 1/3+ 4 + 8x)  and

second expression =-1.5(12x -7)

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

now we need to solve the first expression

0.5 (-3)(-2x - 1/3+ 4 + 8x)

= 0.5 (-3)(-1/3 + 4 + 6x)

= -1.5(6x + 11/3)

first expression is not equivalent to second expression

0.5( -3)(-2x - 1/3+ 4 + 8x) ≠ 1.5(12x -7)

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Answer:

$20377.50

Step-by-step explanation:

A = P(1 + r)t

P = 1300

r = 4.5% = 0.045

t = 15 years

Let's solve

A = 1300(1 + 0.045)15

A = 1300(1 .045)15

A = $20377.50

Answer: 19x + 7x + 10x = 180°

36x = 180

x = 5°

largest angle = 19 * 5 = 95°

Step-by-step explanation:

The solution of the given quadratic equation is x = 1/3 or -3.

The given quadratic equation is 3x^2 + 8x - 3 = 0.

Multiplying the coefficient of the first term and the last term, we get:

3 x 3 = 9

Factors of 9 are:

1 and 9

3 and 3

We choose 1 and 9 as these factors, when subtracted give us the middle term.

Hence, we can write 3x^2 + 9x - x - 3 = 0

3x (x+3) -1 (x+3) = 0

(3x -1) (x+3) = 0

x = 1/3 or -3

The question is incomplete, the complete question is:

Find the solution of the quadratic equation 3x^2 + 8x - 3 = 0.

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The formula for the image of a point (x, y) after a transformation is (x', y'), where: x' = a*x + b*y + e  , y' = c*x + d*y + f  , a, b, c, d, e, and f are constants that depend on the type of transformation being applied.

1. The formula for the image of a point (x, y) after a transformation is (x', y'), which means that the image of the point (x, y) will be another point (x', y') after the transformation.

2. The coordinates (x', y') of the resulting point are determined by constants a, b, c, d, e, and f, which depend on the type of transformation being applied.

3. The constants a, b, c, d, e, and f are used to calculate the coordinates of the resulting point using the following formulas:

x' = a*x + b*y + e

y' = c*x + d*y + f

4. In these formulas, x and y are the coordinates of the original point, and x' and y' are the coordinates of the resulting point. The constants a, b, c, d, e, and f are determined by the type of transformation being applied.

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The expression by subtracting 6 from −16, which gives us: q - 6 = -22.

What is expression?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /) that represent a mathematical relationship or value.

The problem is asking us to find the value of q − 6 when q is equal to −16. To do this, we need to substitute −16 for q in the expression q − 6, which gives us:

q - 6 = (-16) - 6

We then simplify the expression by subtracting 6 from −16, which gives us:

q - 6 = -22

So, the value of q − 6 when q = −16 is −22. This means that if we had a number line and plotted −16 on it, then moved 6 units to the left, we would land on the number −22.

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Constant variance is the assumption in regression analysis that the standard deviation and variance of the residuals are constant for all values ​​of the independent variables.

Constant variance is the assumption in regression analysis that the standard deviation and variance of the residuals are constant for all values ​​of the independent variables.

Homogeneity of variances means the assumption that the variances of the random variables are constant. This homoscedasticity (that is, constant variances) assumption can be tested using the same diagnostics used for linear regression models.

All data usually consist of the dependent variable and the independent variable itself. Constant variance is about many linear regression assumptions. For example, if you have 325 rows, there should be at least one variance, possibly a constant. The next question is how to compare variables with appropriate variances. The basic fact is that when plotting between a single value and a predicted value, the resulting variance should be constant for the prediction error value.

                                  Var(μ) = E(μ)² = constant

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Answer:THe answer whould be 3

Step-by-step explanation: