Who knows the answer for this problem please solve asap

The zeros of the polynomial function are -1.728, 0.56 and 5.167

The polynomial function is given as:

x^3 - 4x^2 - 7x + 5

Next, we plot the graph of the polynomial

From the graph, the polynomial cross the x-axis when

x = -1.728, 0.56 and 5.167

Hence, the zeros of the polynomial function are -1.728, 0.56 and 5.167

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Answer:

Step-by-step explanation:

(a). A = 5x( 7x - 2 ) - 3x( 2x + 4 )

(b). A = 35x² - 10x - 6x² - 12x = 29x² - 22x

A = 29x² - 22x

The dot product of the D⋅n is 32.

According to the statement

We have given the value of n vector and d matrix and we have to find the dot product of these.

So, For this purpose,

The given values:

n = {-2,-1} and D = [−4423].

The dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers, and returns a single number.

So, The d matrix become

[tex]D = \left[\begin{array}{cc}-4&4&\\2&3&\\\end{array}\right][/tex]

Now solve it with the help of multiplication then the matrix become

D = (-12, -8)

and n = {-2,-1}

Now multiply both terms with the dot product.

So, the dot product of the both terms will become

D.n = 24 +8

Then

The output of the dot product of both terms is 32.

So, The dot product of the D⋅n is 32.

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The equation for a circle is:

[tex](x-a)^{2} + (y-b)^{2} + = r^{2}[/tex]

Where (a,b) is the circle's center and r is the circle's radius.

First, we can find the center point of the circle. Because the two points from the problem are the endpoints of a diameter, the midpoint of the line segment is the center point of the circle.

The formula to find the mid-point of a line segment giving the two endpoints is:

M = [tex](\frac{x_{1} + x_{2} }{2}[/tex], [tex]\frac{y_{1} + y_{2} }{y} )[/tex]

Where M is the midpoint and the given points are:

[tex](x_{1}, y_{1} )[/tex] and [tex](x_{2} , y_{2})[/tex]

Substituting the values from the two points in the problem gives:

[tex]M = (\frac{11+9}{2}[/tex],[tex]\frac{-2+4}{2} )[/tex]

[tex]M = (\frac{11+9}{2}[/tex],[tex]\frac{2-4}{2})[/tex]

[tex]M = (\frac{20}{2} , \frac{2}{2})[/tex]

[tex]M = (10,1)[/tex]

Answer:

  (c)  45°

Step-by-step explanation:

A protractor is used to measure angles by aligning one of the sides of the angle with the 0 mark on the protractor scale. Then the value of the angle is read from the same scale where it is crossed by the other side of the angle.

Here, ray BA crosses the outer scale at 0. The other ray of the angle, BC, crosses the outer scale halfway between 40 and 50, obscuring the mark at 45°.

The measure of angle ABC is 45°.

C. 45°

When measuring with a protractor one of the rays should line up with the straight edge of the protractor, then match up the second ray to the tick marks. However, it can be confusing to tell how to read a protractor.

Clockwise

This angle moves clockwise. This means that the second ray is clockwise to the ray at the bottom. When using a protractor that opens up to the left like this, read the top row of the protractor. The second ray matches the 45-degree mark.

Acute vs Obtuse

There is another way to tell which row of numbers to read. By looking at the drawn angle we can tell the angle is acute (smaller than a right angle). So, the measurement must be less than 90. Therefore, the top row must apply in this situation, meaning the angle is 45°.

The measure of dispersion that measures how much the data differ from the mean is called the standard deviation.

Standard deviation is a statistical measure of dispersion as opposed to the measure of central tendency like mean, median and mode.

The standard deviation is a measure of how spread out data values are around the mean.

It is defined as the square root of the variance and represented with the Greek letter σ.

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Answer:

The last option, (x+2)(x-3)(x-1)

Step-by-step explanation:

The completely factored form of f (x) = x³ - 2x² - 5x + 6 is,

⇒ f (x) = (x - 1) (x - 2) (x - 3)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

Function is,

⇒ f (x) = x³ - 2x² - 5x + 6

Now, We can factor the function as;

Since, 1 is a root of function as it satisfy the function.

So, One factor is,

⇒ (x - 1)

Find another roots as;

(x - 1) ) x³ - 2x² - 5x + 6 ( x² - x - 6

         x³ - x²

        ----------

             - x² - 5x

            - x² + x

            -------------

                    - 6x + 6

                    - 6x + 6

                    ------------

                           0

Hence,

⇒ f (x) = x³ - 2x² - 5x + 6

⇒ f (x) = (x - 1) ( x² - x - 6 )

⇒ f (x) = (x - 1) ( x² - 3x - 2x - 6)

⇒ f (x) = (x - 1) ( x (x - 3) - 2 (x - 3))

⇒ f (x) = (x - 1) (x - 2) (x - 3)

Hence, The completely factored form of f (x) = x³ - 2x² - 5x + 6 is,

⇒ f (x) = (x - 1) (x - 2) (x - 3)

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The conclusion is P(pass l morning) = 0.56

P(pass l afternoon) = 0.72

Conclusion: a student taking the test in the afternoon has a greater probability of passing than a student taking the test in the morning.

Probability is the odds that a random event would happen. The odds that the event would happen lies between 0 and 1. The closer the probability is to one, the more likely it is for the event to happen.

P(pass l morning) = number of students who took the test in the morning and passed / total number of students that took the exam in the morning

28 / 50 =  0.56

P(pass l afternoon) = number of students who took the test in the afternoon and passed / total number of students that took the exam in the afternoon  = 36 / 50 = 0.72

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Answer:

C

Step-by-step explanation:

Just took the quiz

Using the Factor Theorem and limits, the end behavior of g(x) is that the function decreases to the left and increases to the right.

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

Considering the table, the roots are given as follows:

[tex]x_1 = -4, x_2 = 5, x_3 = 12[/tex]

Hence the function is:

f(x) = a(x + 4)(x - 5)(x - 12).

f(x) = a(x² - x - 20)(x - 12)

f(x) = a(x³ - 13x² - 32x + 240).

When x = 0, y = 1, hence the leading coefficient is found as follows:

240a = 1

a = 0.004167

Then:

f(x) = 0.004167(x³ - 13x² - 32x + 240).

The end behavior is given by the limits of f(x) as x goes to infinity, hence:

Hence the end behavior is that the function decreases to the left and increases to the right.

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The value of x in the trapezoid given, to the nearest tenth, is: 10.5.

A trapezoid is a quadrilateral that has two sides only that are parallel to each other.

To find the area of a trapezoid, the formula used is expressed as: 1/2(a + b) × h, where:

Given the following:

Area of trapezoid = 174 units²

AP = 6

PB = x + 3

CD = 2x + 6

AC = 10

Using the formula, we variables in the formula are:

a = AP + PB = 6 + x + 3 = x + 9

b = CD = 2x + 3

h = PC = √(AC² - AP²)

h = √(10² - 6²) = 8

Plug in the values into 1/2(a + b) × h:

174 = 1/2(x + 9 + 2x + 3) × 8

174 = 1/2(3x + 12) × 8

174 = (3x + 12) × 4

174 = 12x + 48

174 - 48 = 12x

126 = 12x

126/12 = x

10.5 = x

x = 10.5

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It will cost $508.26 to fertilize the field having the length 160 yards and the diameter of the semicircles is 12 yards.

Given that the field is 160 yards long and the diameter is 12 yards and charge of 1 square yard of fertilizing is $0.25.

We are required to find the total cost of fertilizing the field.

The total cost of fertilizing the field will be the product of the cost of 1 square yards and the area of the field.

When we will observe the field carefully then we will say that the diameter of the semi circle is equal to the breadth of the rectangle. There are two semicircles so we have to just find the area of 1 circle and the area of 1 rectangle.

Area of the field=Area of rectangle+Area of circle

=length* breadth+π[tex]r^{2}[/tex]

=160*12+3.14*[tex]6^{2}[/tex]

=1920+3.14*36

=1920+113.04

=2033.04 [tex]yards^{2}[/tex]

Cost of fertilzing the field=2033.04*0.25

=$508.26

Hence It will cost $508.26 to fertilize the field having the length 160 yards and the diameter of the semicircles is 12 yards.

Question is incomplete as the figure which is attached should be included.

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Answer:

C & D

Step-by-step explanation:

A. 4 is greater than 0, so use the third equation to find f(x). 4*4 - 1 = 15, so A is wrong.

B. -2 is less than 0, so use the first equation to find f(x). -(-2) + 1 = 3, so B is also wrong.

C. -1 is less than 0, so use the first equation to find f(x). -(-1) + 1 = 2, so C is correct.

D. 1 is greater than 0, so use the third equation to find f(x). 1*1 - 1 = 0, so D is also correct.

The value of x in the similar triangles is 18

Similar triangles have the same shapes but may have different sizes.

Corresponding side of similar triangles are a ratio of each other.

Therefore,

UV / BC = AU / AB

Hence,

UV = 444 units

BC = 703

AU = 20x + 108

AB = 20x + 108 + 273 = 20x + 381

Therefore,

444 / 703 = 20x + 108 /  20x + 381

cross multiply

444( 20x + 381) = 703(20x + 108)

8880x + 169164 = 14060x + 75924

8880x  - 14060x  = 75924 -  169164

-5180x = -93240

x = -93240 / -5180

x = 18

Therefore, the value of x in the similar triangles is 18

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Possible Dimensions of one prism are; 2cm, 3 cm and 4cm

Possible Dimensions of second prism are; 1 cm, 4 cm, 6 cm

We are told that volume of both rectangular prisms is; V = 24 cm³

Now, formula for Volume of a rectangular prism is;

V = lwh

where;

l is length

w is width

h is height

Thus, to solve this, we have to look for multiples of 24 which are;

1, 2, 3, 4, 6, 8, 12, 24.

Now, we must pick 3 numbers from the above in which their products will be equal to 24.

Thus;

Possible Dimensions of one prism are; 2cm, 3 cm and 4cm

Possible Dimensions of second prism are; 1 cm, 4 cm, 6 cm

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The length of side PS according to the quadrilateral descriptions is; 21.

Since, it follows from the task content that the two quadrilaterals given are congruent, hence, the corresponding sides are congruent and are in proportion to each other.

On this note, we have;

x/35 = 15/25

x = (35×15)/25

x = 21.

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Answer:  Point B

Reason:

This point is the highest point in the neighborhood or interval. Yes point D is higher up, but points immediately adjacent to point D are higher. This means D is not a relative max. We need a hill shape like where B is located.  In contrast, point C is a relative minimum since it is at the bottom of the valley.

The combined mean of the 14 people's index finger is: 12.75 cm.

Combined mean = [(mean of first group × number of data of the first group) + (mean of second group × number of data of the second group)] ÷ (number of data of the first group + number of data of the second group).

Given the following:

Mean of first group = 7.8

Number of data of the first group = 7

Mean of second group = 17.7

Number of data of the second group = 7

Combined mean = [(7.8 × 7) + (17.7 × 7)] / (7 + 7)

Combined mean = 178.5 / 14

Combined mean = 12.75 cm.

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Sofia will order 7 more rolls of sushi (84 pieces) and pay $56St

Step-by-step explanation: im right

The value of t for which (4, 6, 3, t) is a linear combination of (1, 3, - 4, 1), (2, 8, - 5, - 1) and (- 1, - 5, 0, 2) is equal to 13.

In this question we must solve for t such that (4, 6, 3, t) is a linear combination of vectors (1, 3, - 4, 1), (2, 8, - 5, - 1) and (- 1, - 5, 0, 2), which means that non-zero coefficients have to be found by algebraic handling:

(4, 6, 3, t) = α₁ · (1, 3, - 4, 1) + α₂ · (2, 8, - 5, - 1) + α₃ · (- 1, - 5, 0, 2)

Which is equivalent to this system of linear equations:

α₁ + 2 · α₂ - α₃ = 4

3 · α₁ + 8 · α₂ - 5 · α₃ = 6

- 4 · α₁ - 5 · α₂ = 3

α₁ - α₂ + 2 · α₃ - t = 0

Whose solution is (α₁, α₂, α₃, t) = (38, - 31,  - 28, 13). The value of t for which (4, 6, 3, t) is a linear combination of (1, 3, - 4, 1), (2, 8, - 5, - 1) and (- 1, - 5, 0, 2) is equal to 13.

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The solutions to the system of equations are (4, 15) and (-1,-1)

The system of equations is given as:

y=3x+2

y=x^2-4+2

Substitute y=3x+2 in y=x^2-4+2

3x + 2=x^2-4+2

Simplify

x^2 - 3x - 4 = 0

Expand

x^2 + x - 4x - 4x = 0

Factorize

x(x + 1) - 4(x + 1) = 0

This gives

(x - 4)(x + 1) = 0

Solve for x

x = 4 and x = -1

Substitute these values in y=3x+2

y = 3(4)+2 = 15

y = 3(-1)+2 = -1

Hence, the solutions to the system of equations are (4, 15) and (-1,-1)

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Answer:

I didn't got the question well

The cost of one ounce of peanuts is $0.20

The cost of one ounce of cashew is $0.35

15p + 5c = 4.75 equation 1

5p + 15c = 6.25 equation 2

Where:

Multiply equation 2 by 3

15p + 45c = 18.75 equation 3

Subtract equation 1 from equation 3

40c = 14

c = 14/40

c = $0.35

Substitute for c in equation 1

15p + (5 x 0.35) = $4.75

15p + 1.75 = 4.75

15p = 4.75 - 1.75

15p = 3

p = 3/15

p = $0.20

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Answer:

hold shift then press the lil right  arrow next to the question mark

Step-by-step explanation:

Answer:

shift  +  >

Step-by-step explanation:

Hope this helps

Answer:

min = a_1

for i:= 2 to n:

      if [tex]a_i[/tex] < min then min = [tex]a_i[/tex]

return min

Step-by-step explanation:

We call the algorithm "minimum" and a list of natural numbers [tex]a_1, a_2, \cdot\cdot\cdot, a_n.[/tex]

So lets first set the minimum to [tex]a_1[/tex]

min = a_1

now we want to check all the other numbers.

We can use a simple for loop, to find the minimum

min = a_1

for i:= 2 to n:

      if [tex]a_i[/tex] < min then min = [tex]a_i[/tex]

return min

Answer:

The sequence of natural numbers is a_1, a_2, a_3, ..., a_n.

Use min as the variable that will contain the minimum value.

Set min = a_1

In a loop, compare min to each number from a_2 to an.

If min > a_i, then let min = a_i

min = a_1

for i = 2 to n

  if min > a_i, then min = a_i

Answer: [tex](a-b)(y-1)[/tex]

Step-by-step explanation:

Factoring out (a-b) gives [tex](a-b)(y-1)[/tex].

Answer:

Step-by-step explanation:

$274 for 40 hours of work as a unit rate

in practice you look for the hourly wage, you find it by dividing the wages divided by the working hours

274 : 40 = 6.85 units per hour

The story problem that aligns with the division problem is A. A whiteboard is 2/5 meter long and has an area of 1/2 square meter. How wide is the whiteboard?

From the information given, it can be seen that 1/2 is divided by 2/5.

In this case, the story that aligns with it is that a whiteboard is 2/5 meter long and has an area of 1/2 square meter. How wide is the whiteboard?

In this case, the length is multiplied by width to get the area.

Therefore, the correct option is A.

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The statements that correctly compare the sum and product of the function are:

A linear function simply means a function that represents a straight line on the coordinate plane.

In this case, the sum is linear and the product is quadratic while the sum has one y-intercept and the product has two x-intercepts.

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The factored form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).

In this question we have an algebraic expression to be expanded by means of algebraic properties, the purpose of this handling is to modify the polynomial until its standard form is finally obtained and later we find its factor form by Cardano's method. Now we proceed to show the procedure in detail:

2 · x · (2 · x + 1)² + (2 · x + 1) · (4 · x² - 3)     Given

2 · x · (4 · x² + 4 · x + 1) + (2 · x + 1) · (4 · x²) + (2 · x + 1) · (- 3)      Perfect square trinomial/Distributive property

8 · x³ + 4 · x² + 2 · x + 8 · x³ + 4 · x² - 6 · x - 3     Distributive property/(- 1) · a = - a

16 · x³ + 8 · x² - 4 · x - 3     Distributive property/Definitions of addition and subtraction

(x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242)      Cardano's method/Result

The factored form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).

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Answer:

81

Step-by-step explanation: