I am unsure on how to solve x​

It is true that the binomial x + 1 is a factor of the polynomial P(x) = 5x^2 + 11x + 6

From the question, the given parameters are

Start by setting the binomial to 0

So, we have

x + 1 = 0

Solve for x in the above equation

x = -1

Substitute -1 for x in the polynomial equation P(x) = 5x^2 + 11x + 6

P(-1) = 5(-1)^2 + 11(-1) + 6

Evaluate

P(-1) = 0

Because P(-1) equals 0, then the binomial is a factor of the polynomial

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Answer:

The sale price of a black coat is $ 2.40 less than sale price of a blue coat. So your answer would be $2.40

Step-by-step explanation:

Hope this helped

Answer: To put the equation y - 4x = 17 in slope-intercept form, we need to isolate the y variable on one side of the equation and have the coefficient of x be the slope of the line and the constant term be the y-intercept.

Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Starting with the equation y - 4x = 17, we can isolate y by adding 4x to both sides:

y - 4x + 4x = 17 + 4x

y = 4x + 17

So, the equation in slope-intercept form is y = 4x + 17, where the slope (m) is 4 and the y-intercept (b) is 17.

Step-by-step explanation:

y-4x = 17

slope intercept= y= 4x + 17

In the expression 5x + 5 = 95,  the value of x is 18

What is an angle ?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

The given angle 5x + 5 is equal to 95

We need to calculate the value of x

5x + 5 = 95

5x = 95 - 5

5x = 90

x = 90/5

x = 18

Therefore, the expression 5x + 5 = 95 is solve and the value of x is 18

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Maria can have at most 19 quarters.

Let's assume Maria has q quarters. Since there are twice as many dimes as quarters, she would have 2q dimes.

The value of q quarters is 25q cents, and the value of 2q dimes is

10(2q) = 20q cents.

The total value of the quarters and dimes is less than $9.00, which is equivalent to 900 cents.

So, the inequality we can form is:

25q + 20q < 900

Combining like terms, we get:

45q < 900

Dividing both sides of the inequality by 45, we find:

q < 20

Based on the given information, Maria can have a maximum of 19 quarters in her collection of dimes and quarters, ensuring that the total value remains less than $9.00.

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Answer:

graph it to 10÷5 there's your answer

Answer:

337.406388 or 337 people

Step-by-step explanation:

To figure this out, use the compound interest (compounding number?) equation which is Amount = People(1 + rate)^time

So if you fill that out you get

A = 20,000(.96)^100

A = 20,000(0.0168703194)

A = 337.406388

Answer:

(w−12)(w+2)

Step-by-step explanation:

Step-by-step explanation:

w²-10w-24

(w²-12w)+(2w-24)

w(w-12)+2(w-12)

(w-12)(w+2)

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

A line with undefined slope is a vertical line. A vertical line has the equation

x = anumber

The point you were given has an x and a y...(x,y) The first number is the x.

x = 7

That's it, thats the equation of a line with undefined slope that goes through (7, -3).

<<<Fun fact: Lines with 0 slope are horizontal lines and have the equation

y = anumber >>>

The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

The maximum absolute values of the shear and bending moments are

Cy = 1800 lbs

Ay = 4800 lbs

Max absolute BM = 14400 lbs-feet

Given,

Draw the shear and bending moment diagrams for the beam and the indicated loading, and then figure out the highest absolute values of the shear and bending moment.

(a) The shears and bending-moment diagrams,

Ay + Cy = 800 * 9 - 600

Ay + Cy = 6600 lbs

Ay

∑Ma = 0

Cy * 15 + 600 * 9 = 800 * 9²/2

Cy = 1800 lbs

Ay = 4800 lbs

(b) Determine the maximum absolute values of the shear and bending moment,

Map absolute B.M:

Map positive B.M occurs, when SF = 0 is at 'x'

4800 - 800x = 0

     x = 6ft

Positive map = 4800 * 6 = 800 * 6²/2

Max absolute BM = 14400 lbs-feet and it developed at 6ft from support A.

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The median of the list is 3

We must arrange the numbers in this list from smallest to largest in order to determine the median:

-12, -3, 1, 1, 2, 4, 10, 16, 16, 19

The middle value of a dataset is represented by the median, a statistical measure. Half of the values in the dataset are greater than or equal to the median, and the other half are less than or equal to the median. This value is what divides the dataset into two halves.

A dataset's values must first be arranged in either ascending or descending order before the median can be determined. The median is simply the middle value when the dataset has an odd number of values. The median is the average of the two middle values when the dataset has an even number of values.

Think about the dataset 3, 5, 7, 9, and 11 as an example. This dataset's median value is 7, as

The median is the average of the two middle numbers in this list of ten numbers. The two middle numbers in this instance are 2 and 4. The median is thus:

median is equal to (3 / (2 + 4)

As a result, three is the list's median.

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Answer:

14400

Step-by-step explanation:

(105-15)²

We will solve it with Identity:

(a-b)² = a²+2ab-b²

So,

Answer:

$49.72

Step-by-step explanation

14.50x15=217.5

217.5/3=72.5

72.5-22.78=49.72

14.50 (Cost per hour)

X 15 (Hours they work)

----------

217.5 (pay per day)

217.5 ÷ 3 (amount of people) = 72.5

Sally Sarah and Sam earn $72.5

72.5 - 22.78 (cost for shoes) = 49.72

Sarah will have 48.72 left

Work Shown:

V = (area of base) * (height)

V = B*h

V = 25*5

V = 125 m^3

The volume of the prism is 125 cubic meters.

Howdy! My name is Christian and I’ll try and help you with this question!

Date: 9/29/20 Time:  9:11 am CST

Answer:

When the posiotive varibale is greater then the negative, the answer will be positive, when the negative variable is greater than the positive, the answer will be negative.

Explanation:

When adding a positive and a negative it could be either positve or negative ouput. If you had -50 and you added +60 the ouput is 10.

But if you had +50 and you added -60 the output would be -10.

Hope this helps you with your question!

Sincerely,

Christian

324.28 cubic inches of empty space will remain in the box after the employee places 3 cans of paint into it.

To determine the amount of empty space in the box after 3 cans of paint are added, we first need to calculate the volume of the box and the volume of 3 cans of paint.

The dimensions of the box are not provided, so we cannot calculate its exact volume. However, we know that it is a rectangular prism, which means it has a length, width, and height. Let's assume that the dimensions of the box are 10 inches by 8 inches by 6 inches. This means that the volume of the box is:

10 x 8 x 6 = 480 cubic inches

Each can of paint is in the shape of a cylinder with a radius of 2 inches and a height of 4 inches. The formula for the volume of a cylinder is:

π x radius² x height

Plugging in the values, we get:

π x 2² x 4 = 16π cubic inches

Since there are 3 cans of paint, the total volume of the paint is:

3 x 16π = 48π cubic inches

To find the amount of empty space in the box, we need to subtract the volume of the paint from the volume of the box:

480 - 48π ≈ 324.28 cubic inches

Therefore, approximately 324.28 cubic inches of empty space will remain in the box after the employee places 3 cans of paint into it.

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Answer:

C

Step-by-step explanation:

Two like therms have the same literal part, in case we have two terms:

6y^3z and 8y^3z

Answer:

see explanation

Step-by-step explanation:

(a)

calculate the lengths using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )

JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)

    = \(\sqrt{(3+3)^2+(-8+7)^2}\)

    = \(\sqrt{6^2+(-1)^2}\)

    = \(\sqrt{36+1}\)

    = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )

MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)

      = \(\sqrt{(-1)^2+(-6)^2}\)

     = \(\sqrt{1+36}\)

     = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )

PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)

      = \(\sqrt{(-2+8)^2+1^2}\)

      = \(\sqrt{6^2+1}\)

      = \(\sqrt{36+1}\)

      = \(\sqrt{37}\)

(b)

JK ≅ MN ← true

JK ≅ PQ ← true

MN ≅ PQ ← true

Answer: Yes

Step-by-step explanation:

Answer:

black line <3

Step-by-step explanation:

the slope is -2 :)

A negative slop occurs when the rate of change is negative. Looking at the options we have, we can pick a point from each line. The Red line will display a positive slop, the Blue line will display a positive slope, but the Black line will display a negative slope. Therefore, the Black like has a negative slope.

I hope this helps! :)

9514 1404 393

Answer:

  B.  9x² +15x -6

Step-by-step explanation:

The composition operator means that function f is applied to function g:

  \((f\circ g)(x)=f(g(x))=f(3x-1)\\\\=(3x-1)^2+7(3x-1)\\\\=9x^2-6x+1+21x-7\\\\\boxed{(f\circ g)(x)=9x^2+15x-6}\qquad\textbf{matches B}\)

Answer

70,010,000

Explanation

70 million 70,000,000 + 10,000=

70,010,000

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to \(180^{o}\). The measures of the internal angles of the triangle given in the question are A = \(52.6^{o}\), B = \(59.4^{o}\), and C = \(68^{o}\).

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to \(180^{o}\).

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2ab Cos C

So that;

\(7^{2}\) = \(6^{2}\) + \((6.5)^{2}\) - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

               = 29.25

Cos C = \(\frac{29.25}{78}\)

         = 0.375

C = \(Cos^{-1}\) 0.375

   = 67.9757

C = \(68^{o}\)

Apply the Sine rule to determine the value of B,

\(\frac{b}{Sin B}\) = \(\frac{c}{Sin C}\)

\(\frac{6.5}{Sin B}\) = \(\frac{7}{Sin 68}\)

SIn B = \(\frac{6.5 *Sin 68}{7}\)

         = 0.861

B = \(Sin^{-1}\) 0.861

   = 59.43

B = \(59.4^{o}\)

Thus to determine the value of A, we have;

A + B + C = \(180^{o}\)

A + \(59.4^{o}\) + \(68^{o}\) = \(180^{o}\)

A = \(180^{o}\) - 127.4

  = 52.6

A = \(52.6^{o}\)

Therefore the sizes of the internal angles of the triangle are: A = \(52.6^{o}\), B = \(59.4^{o}\), and C = \(68^{o}\).

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A seven-sided polygon is called a heptagon. A polygon with seven sides, seven angles, and seven edges is referred to as a heptagon. A heptagon's total number of angles comes to 900°.

It is also occasionally referred to as a septagon, though this usage is not advised because it combines the Latin prefix sept- (derived from septua-, meaning "seven") with the Greek suffix -gon (from gonia, meaning "angle").

A heptagon can be drawn using fourteen diagonals. Heptagon is also referred to as septagon on occasion. The Greek terms "heptá," which means "seven," and "gna," which means "angle," are combined to form the English word "heptagon. There are seven vertices, seven angles, and seven sides to it. A heptagon's internal angles add up to 900°.

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(a)The function in vertex form is f(x) = -5(x-3)² + 45, where a=-5, p=3, and q=45.

(b) The maximum height of the object occurs at the vertex of the parabola. In this case, the vertex is at (3, 45). Thus, the maximum height of the object is 45 units.

A parabola is a symmetrical, U-shaped curve that is formed by the graph of a quadratic function. It is a type of conic section, which can be formed by intersecting a cone with a plane that is parallel to one of its sides. The parabola has many important applications in mathematics and physics, including projectile motion, optics, and the study of gravitational fields.

(b) The maximum height of the object occurs at the vertex of the parabola. In this case, the vertex is at (3, 45). Thus, the maximum height of the object is 45 units.

A quadratic function is a function that can be written in the form f(x) = ax²+ bx + c, where a, b, and c are constants and a is not equal to zero. The graph of a quadratic function is a parabola, which is a symmetrical U-shaped curve.

To express the function in vertex form, we need to complete the square:

f(x) = -5x² + 30x

f(x) = -5(x² - 6x)

f(x) = -5(x² - 6x + 9 - 9)

f(x) = -5((x-3)² - 9)

f(x) = -5(x-3)² + 45

The function in vertex form is f(x) = -5(x-3)² + 45, where a=-5, p=3, and q=45.

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