What are the possible rational zeros of f X X 4 6x 3 3x 2 17x 15?

Answer:

C

Step-by-step explanation:

trust

The correct option is C for the given expression.

What is equation?

In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =

Main body:

given:

(x²-2x) (3x² + 4x − 7) -

To find equivalent expression we multiply each term in first parenthesis with each term in second parenthesis

Multiply x² inside second parenthesis

x²(3x²+4x-7)=3x⁴+4x³-7x²

-2x (3x²+4x-7)=-6x³-8x² + 14x

now we keep all the terms together

3x⁴+4x³-7x²-6x³-8x² + 14x

Now we combine like terms

3x⁴-2x³-15x² + 14x

by solving the option C , we will get the desired result.

Hence , the correct option is C.

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Explanation:

E = event space = {1}

The event space is the set of things we want to happen. There's only one outcome and it's the "1" (since it's smaller than 2)

S = sample space = {1,2,3,4,5,6}

There are 6 items in the sample space.

Divide the two counts to get the fraction 1/6 which is the probability of rolling a result less than 2. In other words, the probability of landing on "1" is 1/6 since there's one face with that label out of 6 faces total.

Side note: 1/6 = 0.1667 = 16.67% approximately

Answer:

12+ (-6) + (-2)

Step-by-step explanation:

Take the amount of money she started with and subtract the purchases

12 - 6 -2

If we want to use addition, add the opposite

12+ (-6) + (-2)

If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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Step-by-step explanation:

the right side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

the left side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

The statement that the sum of any rational number and any irrational number will always be an irrational number is true.

The sum of any rational number and any irrational number will always be an irrational number. To prove this, let's consider a rational number, represented as a/b, where a and b are integers and b is not equal to 0. Additionally, let's consider an irrational number, represented as √2. When we add the rational number a/b and the irrational number √2, the result will be a + (√2)b, which is a combination of a rational number and an irrational number.

Since irrational numbers cannot be expressed as a ratio of two integers, the sum a + (√2)b cannot be simplified to a rational number. Thus, it is an irrational number. Therefore, the statement that the sum of any rational number and any irrational number will always be an irrational number is true.

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Answer:

We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3

The surface area of Prism B is approximately 367.25 cm^2.

Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.

Let the scale factor between Prism A and Prism B be k. Then:

Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3

Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:

375 / 648 = (Side length of Prism A / Side length of Prism B)^3

Now, let's solve for the scale factor (k):

k^3 = 375 / 648

k^3 = 0.5787037037

k ≈ 0.825 (rounded to three decimal places)

Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:

(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2

Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:

Surface area of Prism B = Surface area of Prism A / (k^2)

Surface area of Prism B = 250 / (0.825^2)

Surface area of Prism B ≈ 250 / 0.680625

Surface area of Prism B ≈ 367.25 cm^2

Therefore, the surface area of Prism B is approximately 367.25 cm^2.

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

a = 1, b = 2, and c = 3

Step-by-step explanation:

5 ÷ 8 ÷ 3 ÷ 8

5 ÷ 8 × 8 ÷ 3

The 8 cancels out.

5 ÷ 3 or 5/3

5/3 = 1 and 2/3

Look at the image for another method.

Answer:

It is 1 cent cheaper  to pay 5.46 for 7 apples.

Step-by-step explanation:

Find the unit rate:

5.46 /7 = 0.78

This is the cost for 1 apple

3.95/5 = 0.79

This is the cost for 1 apple

Answer:

5 apples for 3.95 is the better deal

Step-by-step explanation:

If you divide 7 by 5.46 you should get roughly 1.28, so $1.28 per apple

and if you divide 5 by 3.95 you should get roughly 1.26, meaning $1.26 per apple. You can verify this by multiplying 1.26 by 5 and 1.28 by 7

3 milliliters.

Step-by-step explanation:

3 because 12÷4=3 and he made enough for 4.

Answer:

Step-by-step explanation:

3√2= 1.2599

3√13=2.3513

3√57=3.8485

3√130=5.0658

3√275=6.503

Answer:

For a general quadratic equation like:

y = a*x^2 + b*x + c

a is the leading coefficient.

And we define the vertex of this as (h, k)

Where h is:

h = -b/(2*a)

and k is the y-value given when we use x = h.

Now, in this case we have:

f(x) = 5*x^2

We can see that the leading coefficient is 5, then a = 5.

To find the value of h we use:

h = -b/(2*a)

there is no lineal term, thus b = 0, then:

h = -0/(2*5) = -0/10 = 0

and k is given by

f(h) = f(0) = 5*0^2 = 0

then k = 0.

Concluding:

a = 5

h = 0

k = 0

There are 24 different ways for five guests to sit around a circular table without a designated head.

To determine the number of ways the guests can sit around the circular table, we can fix one guest's position and arrange the remaining guests relative to that fixed position. Without loss of generality, let's assume one guest sits at the top of the table (position 1). We can then arrange the other four guests in the remaining positions.

Now, we have four remaining positions to fill. The first remaining guest can choose from any of these four positions, the second guest can choose from the remaining three positions, the third guest has two options, and the last guest is left with one position. The total number of arrangements for these four guests is calculated as 4 × 3 × 2 × 1 = 24.

It's important to note that the circular arrangement doesn't have a designated head, so rotations are considered equivalent. This means that if we rotate a valid arrangement, we would obtain the same seating arrangement. Therefore, there are 24 different ways for the five guests to sit around the circular table.

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thanks 4 the points lolllll

Answer:

someone deleted my answer, but thank you again.

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

4.5*3*2 = 27

hi,

You just have to multiply the three measures.  

So :  

2*3*4.5 =  27 cm³

Easy, is it not ?  

The required Angle in radian in simplest form is 2π.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

The centre angle of one radian (s = r) subtends an arc length of one radius. One radian has the same value for all circles because they are all alike. The central angle of a circle is measured by its arc, which is 360 degrees, and its radian measure, which is 2 radians.

Radius = 4 unit, arc = 8π

We know that

angle = arc/radius

angle = 8π/4

angle = 2π radian.

Thus, required angle in radian is 2π.

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Answer:

Step-by-step explanation

First we make an equation (2x+4)+(5x+2)=90

simplifying we get x=12

Answer:

Step-by-step explanation:

1. cannot be determined. We don't have all the numbers so you can't find the mean (average).

2. True. The median is the line in the middle of the box. The median for movie 1 is greater than 600 and the median for movie 2 is less than 600.

3. True. Interquartile range is the biggest number of the box minus the smallest number of the box. Movie 1 is approximately 200 and movie 2 is approximately 70.

4. True. Q3 is the last line of the box.

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

Answer:

It should be -7/10

Answer:  The answer is -7/10 :)

Step-by-step explanation:

-1/2-1/5=-7/10

Answer:

no

Step-by-step explanation:

adding random numbers and variables to any equation changes the equation. No, the answer would not be equal.

The coordinates of the midpoint of the line segment AB are (2.5, 5).

The correct answer is: o (2.5, 5)

To find the midpoint of the line segment with endpoints A(-1, -2) and B(6, 12), we can use the midpoint formula:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Here, x1 and y1 are the coordinates of point A, and x2 and y2 are the coordinates of point B.

Plugging in the values, we get:

Midpoint = ((-1 + 6) / 2, (-2 + 12) / 2)

= (5 / 2, 10 / 2)

= (2.5, 5)

Therefore, the coordinates of the midpoint of the line segment AB are (2.5, 5).

The correct answer is:

o (2.5, 5)

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The coordinates of the midpoint are (2.5, 5). So, the correct answer is (2.5, 5).

To find the coordinates of the midpoint of the segment with endpoints A(-1, -2) and B (6,12), we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

Let's apply the midpoint formula:

x-coordinate of the midpoint = (x-coordinate of A + x-coordinate of B) / 2

= (-1 + 6) / 2

= 5 / 2

= 2.5

y-coordinate of the midpoint = (y-coordinate of A + y-coordinate of B) / 2

= (-2 + 12) / 2

= 10 / 2

= 5

Therefore, this means that the midpoint of the segment with endpoints A(-1,-2) and B(6,12) is located at the coordinates (2.5, 5). The x-coordinate represents the average of the x-values of the endpoints, and the y-coordinate represents the average of the y-values of the endpoints.

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Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

Step-by-step explanation:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

Answer:

it is going to be

E

(3.5,3)

K

(-3.5,-5 )

Step-by-step explanation:

The point that is the reflection of D across the x-axis and the y-axis is point E , and the coordinates of this point are (3.5,3) . The reflection of point L across x-axis is point K , and the coordinates of this point are (-3.5,-5).

Answer:

d = 27ft

Step-by-step explanation:

\(\frac{40}{15} =\frac{72}{d}\)

\(d=\frac{(72)(15)}{40} =\frac{1080}{40}\)

\(d=27\)

Hope this helps