Could you please show me steps how to solve and graph?

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

It is $1.50 or $18 per dozen tennis balls

Step-by-step explanation:

1. Divide the total price by the number of tennis balls.

36/24= 1.50

So it cost $1.50 per tennis ball.

2. Then solve by dividing the total price by the number of tennis balls:

36/2= $18

"So it cost $18 per dozen tennis balls"

It is $1.50 or $18 per dozen tennis balls

On Thursday, 12 students brought their lunch at school.

Using a number out of 100, a percentage is a technique to indicate a fraction or piece of a total. The word "percent" means "per hundred."

If 4% of the students bring their lunch to school every day, we can find the number of students who brought their lunch on Thursday by multiplying the total number of students by the percentage that brought their lunch:

Number of students who brought their lunch = (4/100) x 300

Number of students who brought their lunch = 12

Therefore, On Thursday, 12 students brought their lunch at school.

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Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

x will be equals to 0.18.

Given,

17x = 3

Now to solve for x

x = 3/17

x = 0.176

Approximate the value of x

x = 0.18

Hence option A will be correct.

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The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The number of color are possible  \(\left n} \atop }} \right. C _r = 1215450\)

Step-by-step explanation:

From the question we are told that  

   The number of  colors is  r = 4

    The sample size n =  75

The number of color that are possible can be mathematically evaluated as

       \(\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}\)

substituting values

         \(\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}\)

       \(\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}\)

       \(\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}\)

        \(\left n} \atop }} \right. C _r = 1215450\)

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\(\frac{13}{2}\) = L + W

So that;

W = \(\frac{13}{2}\) - L

The required formula for the width as a function of L is: W = \(\frac{13}{2}\) - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \(\frac{13}{2}\) - L)

  = \(\frac{13}{2}\)L - \(L^{2}\)

A = \(\frac{13L - L^{2} }{2}\)

The expression for the area A is: A = \(\frac{13L - L^{2} }{2}\)

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Answer:

Conversion a mixed number 2 1/6

to a improper fraction: 2 1/6 = 2 1/6

= 2 · 6 + 1/6

= 12 + 1/6

= 13/6

Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6

To find new numerator: 13/6 - 2/3= 13/6 - 2 · 2/ 3 · 2 = 13/6- 4/6= 13 - 4/6= 9/6= 3 · 3/3 · 2= 3/2

Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13

Write a previous answer (new numerator 13) over the denominator 6.

Two and one sixth is thirteen sixths

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(6, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 3 = 18. In the next intermediate step , cancel by a common factor of 3 gives 3/2

.

In words - thirteen sixths minus two thirds = three halfs.

I'm not sure if this is right but if it's not I did math for nothing-.

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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The lengths of the six line segments are listed below:

16) DF = F - D = - 1 - (- 4) = 3

17) DE = E - D = - 1 1 / 3 - (- 4) = - 4 / 3 + 4 = 8 / 3

18) FG = G - F = 2 - (- 1) = 3

19) FH = H - F = 3 1 / 2 - 1 = 7 / 2 - 1 = 5 / 2

20) GH = H - G = 3 1 / 2 - 2 = 7 / 2 - 2 = 3 / 2

21) EH = H - E = 3 1 / 2 - (- 1 1 / 3) = 7 / 2 - (- 4 / 3) = 29 / 6

Herein we have a number line with the location of five points, with which we must determine the lengths of six line segments. The length of a line segment AB is equal to the following difference:

AB = B - A

Where:

Now we proceed to determine the distances of each line segment:

16) DF = F - D = - 1 - (- 4) = 3

17) DE = E - D = - 1 1 / 3 - (- 4) = - 4 / 3 + 4 = 8 / 3

18) FG = G - F = 2 - (- 1) = 3

19) FH = H - F = 3 1 / 2 - 1 = 7 / 2 - 1 = 5 / 2

20) GH = H - G = 3 1 / 2 - 2 = 7 / 2 - 2 = 3 / 2

21) EH = H - E = 3 1 / 2 - (- 1 1 / 3) = 7 / 2 - (- 4 / 3) = 29 / 6

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The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

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Answer:

it's 4

Step-by-step explanation:

y - y1= m(x- x1)

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

y+ 1= 2x- 6

y= 2x - 7

Answer:

The volume is 878.625

Step-by-step explanation:

First you can convert the mixed numbers and fractions into decimals to make life so much easier. 4 1/2 = 4.5 and 71/4 =17.75

Then simply mulitply 4.5 x 11 x 17.75 and get  878.625

The inverse of the given statement will be- Option 3, If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Here, we are given a statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

According to the statement,

if B bisects AC ⇒ AB = BC

then, B is the midpoint.

The inverse of this will be-

if B is the midpoint of AB ⇒ AB = BC

then, B bisects AB

This can be written as-

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Thus, option 3 is the correct answer.

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Your question was incomplete. Check below for full content-

Which statement is the contrapositive of the conditional statement:

Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

1. If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

2. Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

3. If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

4. If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

Answer:

105 selection s

Step-by-step explanation:

Given:

The coach has to select 2 co-captains from the 15 girls out for soccer

n = 15

r = 2

The number of selections possible is;

N = nCr = n!/r!(n-r)!

Since no other is specified.

Substituting the values of n and r;

N = 15C2 = 15!/2!(15-2)!

N = (15×14)/2

N = 105

Therefore, she have 105 possible selections

Answer:

10 i sqrt 2

Step-by-step explanation:

i indicates that it is an imaginary number. this is because 200 is negative.

The simplified form of the given square root number is 10i√2. Therefore, the correct answer is option D.

The given square root number is √-200.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Here, 200 = 2×2×2×5×5

Thus, √-200=√-2×2×2×5×5

=2×5×i√2

= 10i√2

Therefore, the correct answer is option D.

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Explanation:

Businesses that see a profit opportunity will move into that space to try to earn money. Those that don't earn a profit will unfortunately go out of business, or try to seek business ventures elsewhere.

Answer:

D.

Step-by-step explanation:

Note that with respect to ∠D, its adjacent side is f and the hypotenuse is e.

Since we are given the adjacent side and its hypotenuse, we can use cosine. Recall that cosine is the following ratio:

\(\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}\)

So, for ∠D, this yields that:

\(\displaystyle \cos(D)=\frac{f}{e}\)

To solve for D, then, we can take the inverse cosine of both sides:

\(\displaystyle m\angle D=\cos^{-1}\Big(\frac{f}{e}\Big)\)

Our answer is D.

Answer:

X cm HV dh

Step-by-step explanation:

video of formula is less effective way to get enough is I've only had efficiency tr

Answer:

120

Step-by-step explanation:

5x4x3x2x1=120

Answer:x=-3 i think

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.

The formula for the volume of a sphere of radius "r" is:

V = (4/3)πr³

Substituting the specified radius value (r = 11 cm), we get:

V = (4/3)π(11)³ \sV = 5575.279 cm³

Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:

Density = Volume Weight

Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3

When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:

The weight is 25.121811974 kg.

As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

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Alex's rate of commission is approximately 10.52%.

To find Alex's rate of commission, we can divide the amount he earned by his total sales.

Alex earned $21,563 on his total sales of $204,865.

So, his rate of commission can be calculated as:

Rate of commission = (Amount earned / Total sales) * 100%

Substituting the given values:

Rate of commission = ($21,563 / $204,865) * 100%

Using a calculator, we can evaluate this expression:

Rate of commission ≈ 0.1052 * 100%

Rate of commission ≈ 10.52%

Therefore, Alex's rate of commission is approximately 10.52%.

This means that for every dollar of sales he makes, he earns a commission of 10.52 cents.

It's important to note that the rate of commission can vary from one salesperson to another and may be negotiated between the salesperson and the company. In Alex's case, his rate of commission is 10.52% based on his performance in November.

By knowing his rate of commission, Alex can calculate his earnings for future sales based on the sales amount he generates. It also allows him to evaluate his performance and set targets to achieve higher commission earnings.

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Whole numbers range in size from 0 to infinity.

The collection of rational numbers is p/q, q ≠0.

Integers have no decimal portion and range from -infinity to infinity.

Given that,

We have to finding whole numbers, integers, and rational numbers is necessary.

the collection of whole numbers and their opposites,

The group of numbers that can be expressed as fractions is called ______.

The group of counting numbers and zero is known as ______.

We know that,

All of the numbers that are there can be defined or represented using a number system.

Complex numbers (a + ib)

Imaginary numbers

(0 + ib)

Real numbers                                                                

(a + i0)                                                                            

Rational numbers              

(perfect squares)      

Irrational numbers      

(non-perfects squares)

Fractions.  

(p/q, q ≠ 0)          

Integers

Negative integers is - ∞ to - 1

Positive integers is 1 to ∞

whole numbers is 0 to ∞

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = length x width = (2w + 5)(w) = 2w² + 5w

P = 2(2w + 5) + 2w = 6w + 10

To graph:  sorry, Brainly doesn't have graphing tools so I'll just have to describe it

A:  parabola, opens up, vertex at (-1.25, -3,124), crosses x axis at (-2.5, 0) and (0,0)

P:  straight line, slants up, with a slope of 6, y-intercept of 10, crosses x axis at (-1.667, 0)

FYI, the 2 graphs intersect at 2 points:  (-2, 2) and (2.5, 25)