x^2−4x−21 I need help with this question and please right every step of it

Answer:

What help do you need?

tell me about it

Answer:

0.9x + 0.8(x + 2)

Step-by-step explanation:

# of cans of fruit cocktail: x

# of cans of mushrooms: 2 more than x, or x + 2

$ of can of mushroom: $0.80

$ of can of fruit cocktail: $0.90

To find out how much money you spent, you need to multiply the # of cans by their respective prices. Therefore:

The price of the cans of fruit cocktail = 0.90 * x

                                                             = 0.9x

The price of the cans of mushrooms = 0.80 * (x + 2)

                                                             = 0.8(x + 2)

Total price = 0.9x + 0.8(x + 2)

The most appropriate choice for slope of a line will be given by-

Slope of the line = \(\frac{-19}{12}\)

What is slope of a line?

At first it is important to know about line.

Line is a geometrical object that has only length but no breadth and no height.

Slope of a line is the tangent of the angle which the line makes with the positive direction of x axis

If \(\theta\\\)  is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

m = \(tan\theta\)

If the line passes through (\(x_1,y_1\)) and (\(x_2, y_2\)) , then

slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Here,

\(x_1 = -3, y_1 = 9. x_2 = 9, y_2 = -10\)

Slope = \(\frac{-10 - 9}{9 - (-3))}\)

         = \(\frac{-19}{12}\)

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Answer:

5

Step-by-step explanation:

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

D on edge i got it right

Step-by-step explanation:

By reviewing the graph, when the ship is traveling so here the ship's direction should be 60 degrees west.

In terms of mathematics, the vector means the quantity where it does contain both magnitude and direction but does not involved the position. It involved the examples like velocity and acceleration.

According to the given graph, the movement of the ship is in south west direction along with angle 60 degrees

So, here option d is correct.

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On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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Answer:

D

Step-by-step explanation:

In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.

By using the graph of g, the solution to g(3) is equal to 8.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;

g(3) = 8.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

Cuál es el término de la decimotercera (13.a) posición? 2,−1,5,−3,8,−5.

Step-by-step explanation:

Vamos a encontrar el patrón que se repite en la secuencia, y vamos a ver que el decimo tercer termino es 20.

Tenemos la secuencia:

2, -1, 5, -3, 8, -5

Tomando la diferencia entre terminos consecutivos obtenemos:

-1 - 2 = -3

5 - (-1) = 6

-3 - 5 = -8

8 - (-3) = 11

-5 - 8 = -13

Lo que podemos ver ahi es que la proxima vez que sumemos, tenemos que sumar 3 unidades mas de las que restamos antes, y cuando restemos, debemos restar dos unidades mas de lo que restamos antes, este es el patron.

Es decir, el proximo termino es:

-5 + 16 = 11

El proximo termino es:

11 - 18 = -7

Y así, los siguientes terminos son:

-7 + 21 = 14

14 - 23 = -9

-9 + 26 = 17

17 - 28 = -11

-11 + 31 = 20

Este ultimo es el treceavo termino.

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Answer:

8/25

Step-by-step explanation:

To change 32% to a fraction:

Divide 32% by 100%, obtaining 0.32

This 0.32 is equivalent to 32/100, which in turn is equivalent to 8/25.

Answer:

m = undefined

Step-by-step explanation:

m = 9 - 6 / 5 - 5

m = 3 / 0

m = undefined

Answer:

undefined

Step-by-step explanation:

Because x is constantly 5, it is a straight line going up and down. This type of graph has an undefined slope.

Answer:

Hope this may helps you

Answer:

  9 ft

Step-by-step explanation:

Let x represent the shortest piece. Then the sum of lengths is ...

  x + (x +25) +3x = 40

  5x = 15

  x = 3

  3x = 9

The third piece is 9 feet long.

_____

Check

The pieces are 3 ft, 28 ft, 9 ft, so total 40 ft, as required.

Answer:

\(\mathbf{P_2(x) = 1+\dfrac{x^2}{2}}\)

Step-by-step explanation:

Given that:

f(x) = sec (x)  , n = 2

Where are to find P_2(x)

Suppose ; f(x) = sec (x)  , n = 2

then

\(f(0) = sec (0) = 1\)

\(f'(x) = sec (x)* tan (x)|_{x=0} = 0\)

\(f''(x) = sec (x)*tan ^2(x)+ sec (x) * sec^2(x)\)

\(f''(x) = sec (x)*tan ^2(x)|_{x=0} + sec^3(x)\)

\(f''(x) = 0 + sec^3(0)\)

\(f''(x) = 1\)

\(f(x) = f(0) + \dfrac{f'(0)x}{1!}+ \dfrac{f''(0)x^2}{2!}+ \dfrac{f'''(0)x^3}{3!}+...\)

\(f(x) = 1 + \dfrac{0}{1!}x+ \dfrac{x^2}{2!}+...\)

\(f(x) = 1 + \dfrac{x^2}{2}+...\)

since order n =2

\(\mathbf{P_2(x) = 1+\dfrac{x^2}{2}}\)

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Since we have the value for selling each shirt, the earnings that came from the hats sold and the total earnings we can complete equation using a linear equation in which the cost of each shirt will represent the slope and the y-intercept will be the earnings that came from the hats, like this:

then clear the equation for x in order to find how many shirts were sold

Answer:

Step-by-step explanation:

Answer:

669ft high

Step-by-step explanation:

642+27=669ft

The height of the mountain is 669 ft.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 4 -2 = 2

A drone takes off from the base of a mountain at a height of 27 ft below sea level.

To determine the height of the mountain.

Using the arithmetic operations of addition and subtraction,

The drone then flies up 642 ft before landing at the top of the mountain.

Assume that distance below sea level is positive,

So the height of the mountain as

⇒ 642 + 27

⇒ 669 ft

Hence, the height of the mountain is 669 ft.

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The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

29.4

Step-by-step explanation:

then convert to whole number

Answer:

\(y=7x -7\)

Step-by-step explanation:

We are given two points, the y - intercept and the x - intercept.

The y - intercept being: ( 0, -7 )

The x - intercept being: ( 1, 0 )

The equation of a line in slope - intercept form is:

y = mx + b, where m is the slope and b is the y - intercept.

We already have the y - intercept. So far we have:

y = mx - 7

What we're missing is the slope.

To find the slope, we can use this formula:

\(\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\), where \(x_{2}\) and \(x_{1}\) are the x - coordinates of both points and \(y_{2}\) and \(x_{1}\) are the y - coordinates of both points.

\(m=\frac{0-(-7)}{1-0} \\\\m=\frac{7}{1}\\m=7\)

We now have the missing piece, the slope, so the equation now is:

\(y=7x -7\)

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Here is the code that can be used to find the MLE of M allele in the 206th row of Mourant dataset using the HardyWeinberg package in R:

# Load HardyWeinberg package

library(HardyWeinberg)

# Load Mourant dataset

data(Mourant)

# Extract the genotype counts for the 206th row

counts <- Mourant[206, 2:4]

# Calculate the MLE of M allele frequency

mle <- hw_mle(counts)

# Extract the MLE of M allele frequency

mle_M <- mle$p[2]

Note that the code assumes that the Mourant dataset is already installed and loaded in R. If the dataset is not installed, you can install it by running install.packages("HardyWeinberg") in R.

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