Jaylen used a 20% discount on a pair of jeans that cost $70 before tax. The sales tax is 6%. How much does the pair of jeans cost after tax? Show your work

Jaylen Used A 20% Discount On A Pair Of Jeans That Cost $70 Before Tax. The Sales Tax Is 6%. How Much

Answers

Answer 1

If Jaylen used a 20% discount on a pair of jeans that cost $70 before tax, then the price of the jeans will be $70 - 20%.

Let's calculate the 20% of $70.

[tex]70\times20\%=14[/tex]

So, the discounted price of the jeans before tax is $70 - $14 = $56.

Generally, sales tax is applied to the discounted price, so let's calculate the 6% of $56.

[tex]6\%\times56=3.36[/tex]

The sales tax is $3.36.

Therefore, the cost of the pair of jeans after tax is $59.36.

[tex]56+3.36=59.36[/tex]


Related Questions

Select the expressions that are equivalent to 7(7f)1. 49f2. 7(f+6f)3. f+144. f+49

Answers

ANSWER :

49f and 7(f + 6f)

EXPLANATION :

From the problem, we have :

[tex]7(7f)[/tex]

When multiplied, it will be 49f

When breaking it down, 7f is equal to f + 6f. Then it will be 7(f + 6f)

The next options f + 14 and f + 49 has two terms, so it will not be equivalent to the given expression with one term.

So the only expressions that are equivalent to the given expression are 1 and 2

Subtracting algorithm

Answers

Using subtracting algorithm, we have 69,000 - 42,547 = 26,453 and 152,681 - 34,820 = 117,861.

According to the question,

We have the following expressions:

_ _ , 0 0 0

-4 2, _ _ _

_________

2 6 , 4 5 3

Now, we will first solve this.

The spaces has to be filed with the digits from 0 to 9  and in both the questions, no digit has to be repeated.

Now, we will solve it from the right hand side.

(Note that we will solve each row that is we will solve vertically.)

0 is given, then we have blank, and in result we have 3.

It is clear that no number can be subtracted from 0. So, we have to regroup it from other digits. So, it will be 10.

Now, 10-3 = 7

So, this blank will be 7.

Now, come to next one.

We have 0 and a blank and then 5 in the result.

Now, it should be 9 because 1 was taken away from it.

So, 9-5 = 4

This blank has to be filled with 4.

Now, we will solve next one.

We have 0, a blank and then 4 in the result.

Now, this 0 will make 9.

9-4 = 5

This blank has to be filled with 5.

Now, we have a blank, 2 and 6 in the result.

1 has been carried from this digit.

So, we have:

6+2+1 = 9

This blank has to be filled with 9.

Next, we have a blank, 4 and 2 in the result.

4+2 = 6

This has to be filled with 6.

Now, we will solve the second question like this.

_ 5 2, 6 8 1

-   _ 4, _ _ _

__________

    1 1 7, 8 6 1

Now, moving from right to left vertically:

We have 1, a blank and 1 in the result.

1-1 = 0

Blank = 0

We have 8, a blank and 6 in the result.

8-6 = 2

Blank = 2

We have 6, a blank and 8 in the result.

Now, 8 can not be subtracted from 6. So, it has to be 16.

16-8 = 8

Blank = 8

Now, next one is complete.

So, we have next one.

We have 5, a blank and 1 in the result.

We will subtract 1 from 4 because 1 was carried away from 5.

4-1 = 3

Blank = 3

Now, we have a blank and 1 in the result.

Blank = 1

Hence, the answers would be  69,000 - 42,547 = 26,453 and 152,681 - 34,820 = 117,861.

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find the volume and total surface area of a right circular cone whose base diameter is 10 cm and whose altitude is 20 cm.

Answers

SOLUTION

Given the question in the question tab, the following are the solution steps to calculate the required measurements.

Step 1: write the given parameters

[tex]\begin{gathered} \text{diameter}=10\operatorname{cm},\text{altitude}=\text{height}=20\operatorname{cm} \\ r=\frac{d}{2}=\frac{10}{2}=5\operatorname{cm} \end{gathered}[/tex]

Step 2: Calculate the volume of the right circular cone

[tex]\begin{gathered} V=\frac{\pi r^2h}{3} \\ V=\frac{\pi\times5\times5\times20}{3} \\ V=\frac{500\pi}{3}=523.5987756 \\ V\approx523.5988\operatorname{cm}^3 \end{gathered}[/tex]

Step 3: Calculate the total surface area of the right circular cone

[tex]\begin{gathered} \text{TSA}=\pi r(r+\sqrt[]{h^2+r^2)} \\ \text{TSA}=\pi(5)(5+\sqrt[]{20^2+5^2)} \\ \text{TSA}=5\pi(5+\sqrt[]{400+25)} \\ \text{TSA}=5\pi(5+\sqrt[]{425})=5\pi(5+20.61552813) \\ \text{TSA}=5\pi(25.615528134) \\ \text{TSA}=402.3677749 \\ \text{TSA}\approx402.3678cm^2 \end{gathered}[/tex]

Hence, the volume and the total surface area of the given right circular cone are approximately 523.5988cm³ and 402.3678cm² respectively

Find the missing length of the triangle. 22 cm 17.6 cm The missing length is centimeters.

Answers

[tex]\begin{gathered} using\text{ pyhtgoras Theory,} \\ (Hyp)^2=(opp)^2+(Adj)^2 \\ (22)^2=a^2+(17.6)^2 \\ 484\text{ = }a^2\text{ + 309.76} \\ 484-309.76=a^2 \\ 174.24=a^2 \\ a\text{ = }\sqrt[]{174.24\text{ }}\text{ = 13.2cm} \end{gathered}[/tex]

Write the equation for a line that is perpendicular to the given line and contain the following points. 12. X=-11Contains the point (-5, -7)equation:____

Answers

Purple line is perpendicular to given line (x = -11), and the equation for this lines is y = -7

Line g passes through the points (-2.6,1) and (-1.4.2.5), as shown. Find theequation of the line that passes through (0,-b) and (c,0).

Answers

The blue line passes through the points

(-2.6, 1) and (-1.4, 2.5)

I will label the coordinates as follows for reference:

[tex]x_1=-2.6,y_1=1,x_2=-1.4,y_2=2.5[/tex]

Step 1: Find the slope of the blue line

The slope between two points is calculated with the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We substitute the values and we get that the slope of the blue line is:

[tex]m=\frac{2.5-1}{-1.4-(-2.6)}=\frac{1.5}{1.2}=1.25[/tex]

The slope m of the blue line is 1.25.

step 2: With that slope, calculate b (the intercept of the blue line with the y axis).

For this we use the point - slope equation:

[tex]y=m(x-x_1)+y_1[/tex]

Where we will use the sane x1 and x2 as in the previous step, so we get

[tex]\begin{gathered} y=1.25(x-(-2.6))+1 \\ y=1.25(x+2.6)+1 \\ y=1.25x+3.25+1 \\ y=1.25x+4.25 \end{gathered}[/tex]

We compare this with the slope-intercept equation

[tex]y=mx+b[/tex]

And we can see that the incercept b is 4.25

[tex]b=4.25[/tex]

step 3: Find the value of c.

to find the value of c, we need to know at which point the blue line crosses the x axis.

Since we already have the equation of the blue line y=1.25x+4.25, and the line crosses the x axis at y=0, we substitute this to find the x value that is equal to c:

[tex]\begin{gathered} 0=1.25x+4.25 \\ -4.25=1.25x \\ \frac{-4.25}{1.25}=x \\ -3.4=x \end{gathered}[/tex]

The blue line crosses the x axis at (-3.4,0), thus we can conclude that

[tex]c=-3.4[/tex]

Step 4: Define the two point where the orange line passes through.

We know from the picture that the orange line passes through (c,0) and (0,-b)

Since we have the values of c = -3.4 and b=4.25, we can say that the orange line passes through (-3.4, 0) and (0, -4.25)

Step 5: Calculate the slope of the orange line.

the orange line passes through (-3.4, 0) and (0, -4.25), so we define:

[tex]undefined[/tex]

Select the correct answer..What is the value of i^ if the remainder of 4 is 2?OA. -i'OB.-1Ос. іOD. 1ResetNext

Answers

1) Considering that for that complex number we have the following pattern:

[tex]\begin{gathered} i^1=i \\ i^2=-1 \\ i^3=-1\cdot i=-i \\ i^4=-1\cdot-1=1 \end{gathered}[/tex]

2) And that, the question asks us about the what number must be that exponent so that the remainder is 2, we can write out:

[tex]\frac{n}{4}=4d+2[/tex]

which d is the divisor, so if the remainder is 2 then we can state:

[tex]i^n=i^2=-1[/tex]

Question #3 3) The digits of a 2-digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, we get 99. Find the original number.

Answers

ones number = x

Tens number = y

y>x

Number at the tens place y = (x+5)

original number = 10 (x+5)+x

Interchange digits:= 10x+(x+5)

original number + new number = 99

¨[10(x+5)+x]+ [10x+ (x+5)] =99

Solving for x:

(10x+50+x )+( 10x+x+5) = 99

Combine like terms

(11x+50) + (11x+5) = 99

11x+11x+50+5 =99

22x+55 =99

subtract 55 from both sides

22x +55-55= 99-55

22x = 44

Divide both sides by 22

22x/22= 44/22

x = 2

unit place: 2

tens place = x+5 = 2+5 = 7

original number = 72

PLS HELP Rewrite the following equation in slope-intercept form.

y + 8 = –3(x + 7)


Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer is y = -3x -29

Step by step

An equation in the slope-intercept form is written as. y=mx+b.
m is the slope of the line and b is the y-intercept.

y +8 = -3x -21

Subtract 8 from both sides to isolate y

y + 8 - 8 = -3x -21 -8

y = -3x -29

Answer:

[tex] \sf \: y = -3x - 29[/tex]

Step-by-step explanation:

Given equation,

→ y + 8 = -3(x + 7)

The slope-intercept form is,

→ y = mx + b

Let's rewrite the equation,

→ y + 8 = -3(x + 7)

→ y + 8 = -3x - 21

→ y = -3x - 21 - 8

→ [ y = -3x - 29 ]

Thus, answer is y = -3x - 29.

Two towns are 1050 miles apart, a group of hikers start from each town and walk the trail toward each other. They meet after a total hiking time of 200 hours. If one group travels 1 1/2 miles Per hour faster than the other group, find the rate of each group

Answers

Answer:

Rate of the faster group = 3.38 miles per hour

Rate of the slower group = 1.88 miles per hour

Explanation:

Let x = rate of the slower group

Therefore the rate of the faster group will be x + 1 1/2 = x + 3/2 = x + 1.5

From the question, we're told that the two groups traveled for a total hiking time of 200 hours.

We know that distance = rate x time

So the distance of the slower group will be = 200x

And the distance of the faster group will be = 200(x + 1.5)

So if the distance between each town is 1050, we can then solve of x as shown below;

[tex]\begin{gathered} 200x+200(x+1.5)=1050 \\ 200x+200x+300=1050 \\ 400x=750 \\ x=\frac{750}{400} \\ x=1.88\text{ mph} \end{gathered}[/tex]

Therefore the rate of the faster group = 1.88 + 1.5 = 3.38 mph.

Given the median QR and trapezoid MNOP, what is the value of X?M3.8033Rکد 73PA. 6B. 19(C. 2D, 5E 7F. Cannot be determined

Answers

SOLUTION

Consider the diagram below

Applying the rule in the diagram above, we have

[tex]|QR|=\frac{1}{2}(|ON|+|PM|)[/tex]

Recall from the questions

[tex]\begin{gathered} |QR|=33 \\ |ON|=3x-8 \\ |PM|=7x+4 \end{gathered}[/tex]

Then we substitute the parameters above into the expression above

[tex]\begin{gathered} 33=\frac{1}{2}(3x-8+7x+4) \\ \text{ Multiply both sides by 2} \\ 66=3x-8+7x+4 \\ \text{rerrange the terms and simplify } \\ 66=10x-4 \\ \text{collect like terms } \\ 66+4=10x \end{gathered}[/tex]

simplify further

[tex]\begin{gathered} 70=10x \\ \text{divide both sides by 10} \\ x=\frac{70}{10} \\ \text{then} \\ x=7 \end{gathered}[/tex]

Therefore the value of x is 7

Therefore the right option is E

The vertices of a rectangle are located at A(4, -1), B(-4, -1), C(-4, 6), and D(4, 6). What is the distance between the side AB and BC respectively?

Answers

The coordinates of the vertices of a rectangle are:

[tex]\begin{gathered} A\left(4,-1\right) \\ B\left(-4,-1\right) \\ C\left(-4,6\right) \\ D\left(4,6\right) \end{gathered}[/tex]

Plotting these points:

Question 10
Answer:
Not yet answered Marked out of 2.00
A tyre made of rubber (density 1.2 g/cm³) has a mass of 3.6 kg.
Find its volume.
(Use ^sign from the computer's keyboard to express the power of the units for the volume
Question 11
Not yet answered Marked out of 1.00
Flag question
What percentage of the grid is shaded?
PFlag question

Answers

1.volume = mass*density

v = 1.2 * 3.6 = 4.32 cm3

The density of a substance quantifies how tightly its molecules are packed, which affects how heavy or light it is.

Density is calculated as follows: density=mass/volume. Most often, mass is measured in grams or kilograms. Most often, volume is measured in cubic centimeters (cm3), cubic meters (m3), or millileters (mL).

How can you find mass from density?

multiply the volume by the density.

Mass per unit volume is the definition of density.

ρ = m V

This can be rearranged to yield the mass expression.

m = ρ × V

Example:

What mass of the liquid is present if 500 mL of it has a density of 1.11 g/mL

m = ρ × V = 500 mL × 1.11 g

1 mL = 555 g

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Gabe made a scale drawing of a neighborhood park. The scale of the drawing was 1 millimeter : 6 meters. If the actual length of the volleyball court is 18 meters, how long is the volleyball court in the drawing?

Answers

[tex]\begin{gathered} \text{The ratio is 1/6, thus, if the actual length of the voleyball court is 18 meters, in the drawing the lenght is} \\ 18\cdot\frac{1}{6}=3\text{ } \\ \\ \text{ the length in the drawing is 3mm} \end{gathered}[/tex]

Which is an example of a survey?A- collecting the cholesterol readings of a group of elderly people in a small townB- interviewing college students to find what percentage expect a job immediately after graduationC- testing the effectiveness of a hair product by allowing one group to use it and comparing results against a control groupD- testing the effectiveness of a mouthwash by allowing one group to use it and comparing results with those of a group that doesn't use ot

Answers

Answer: B- interviewing college students to find what percentage expect a job immediately after graduation

Surveys are meant to collect data that can be used to analyze a population as ahwole. This option analyzes the perspective of college students as a whole, whereas option A only focuses on a minority group of elderly. Additionally, options C and D are moreso experiments and not surveys that can be applied on a larger scale.

Graph transformation of the following line given the transformation: g(x)= -f(x) -2

Answers

Transformation of a Function

We are given the function:

[tex]y=f(x)=\frac{2}{3}x+8[/tex]

And it's required to find another function g(x) according to the transformation:

g(x) = -f(x) - 2

First, we calculate the negative of f(x):

[tex]-f(x)=-(\frac{2}{3}x+8)=-\frac{2}{3}x-8[/tex]

And now we subtract 2 to find g(x):

[tex]g(x)=-\frac{2}{3}x-8-2=-\frac{2}{3}x-10[/tex]

The equation above is in the slope-intercept form where the slope is m=-2/3 and the y-intercept = -10

Answer:

[tex]g(x)=-\frac{2}{3}x-10[/tex]

if you're lonely then be lonely with me but I need your help

Answers

Assuming question is:[tex]-5(7+x)+2\frac{5}{6}x=0[/tex]

Let's use distributive property to simplify:

[tex]-35-5x+2\frac{5}{6}x=0[/tex]

Now we add up the x's and take number to another side:

[tex]\begin{gathered} -5x+2\frac{5}{6}x=35 \\ -2\frac{1}{6}x=35 \end{gathered}[/tex]

We make 2 and one-sixth into improper fraction and divide to get x:

[tex]\begin{gathered} -\frac{13}{6}x=35 \\ x=\frac{35}{-\frac{13}{6}} \\ x=35\cdot-\frac{6}{13}=-\frac{210}{13} \end{gathered}[/tex]

x is "minus 210 over thirteen"

Use quadratic regression to find the equation of a quadratic function that fits the given points. x 0 1 2 3. Y. 49 50.4 39.5. 21

Answers

The regression Quadratic equation y = 49 + 7.55x - 6.15x².

What is Regression Equation?

The technique of finding the equation of a parabola that most closely matches a collection of data is known as quadratic regression. The graph points that make up the parabola-shaped shape of this set of data are given. The parabola's equation is written as y = ax² + bx + c, where a never equals zero.

For data presented as ordered pairs, you can calculate the model's degree by identifying differences between dependent values. The model will be linear if the initial difference has the same value. The model will be quadratic if the second difference has the same value as the first.

As, we know the Quadratic model

Quadratic model, y = a + bx + cx²

Now, value of

a = 49

b = 7.55

c = -6.15

Then, the Regression Quadratic model is

y = 49 + 7.55x - 6.15x²

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find the coordinates of point P that lies on the line segment MQ, M(-9,-5) , Q(3,5), and partitions the segment at a ratio of 2 to 5

Answers

[tex]\begin{gathered} Th\text{e point P are,} \\ \lbrack-9+\frac{2}{7}(3+9),-5+\frac{2}{7}(5+5)\rbrack \\ \lbrack-9+\frac{24}{7},-5+\frac{20}{7}\rbrack \\ \lbrack-\frac{39}{7},-\frac{15}{7}\rbrack \end{gathered}[/tex]

Martin Brothers Moving rents moving vans by the hour. The company charges a flat fee of $17.99, plus an additional $19.99 per hour. One customer pays $57.97 for her rental. How long was her rental?

Answers

Let h be the number of hours that the customer rented the van, then we can set the following equation:

[tex]19.99h+17.99=57.97.[/tex]

Subtracting 17.99 from the above equation we get:

[tex]\begin{gathered} 19.99h+17.99-17.99=57.97-17.99, \\ 19.99h=39.98. \end{gathered}[/tex]

Dividing by 19.99 we get:

[tex]\begin{gathered} \frac{19.99h}{19.99}=\frac{39.98}{19.99}, \\ h=2. \end{gathered}[/tex]

Answer: 2 hours.

Using the origin as the center of dilation and a scale factor of k=1/2 find the coordinates of the vertices of the image of the polygon below

Answers

Given

Using the scale of 1/2

This means we divide each coordinate by 2

[tex]\begin{gathered} (0,3)=(0,1.5) \\ (-4,0)=(-2,0) \\ (2,0)=(1,0) \\ (0,-3)=(0,-1.5)_{} \end{gathered}[/tex]

Permutation/combination In how many ways can five people line up to get on a bus? (Hint: all 5 people are lining up)

Answers

We have to calculate in how many ways can five people line up to get on a bus.

This is a permutation of 5 in 5 without repetition, so it can be calculated as:

[tex]P(5,5)=5!=120[/tex]

Answer: in 120 ways.

A company plans a major investment and theamount of profit is uncertain, but researchersgive the following estimate for the distribution.1.5210Profit(inmillions)Probability0.10.20.40.20.1What is the expected value of the profit?[?] million dollars

Answers

The expected value is the return you expect from some kind of investment/action.

When we are presented with probabilty of an action, we can take the expected value of the whole table [investment] by taking the sum of the products of probability and the action.

Here, we want products of "probability" and "profit". Then we sum it. Shown below:

[tex]\begin{gathered} E=(0.1)(1)+(0.2)(1.5)+(0.4)(2)+(0.2)(4)+(0.1)(10) \\ E=3 \end{gathered}[/tex]Expected value of profit = 3 million dollars

The science class is taking a trip to the science center. there are 20 students and an unknown number of adult chaperones going. the bus holds at most 35 people.what is the greatest number of adults who can chaperone? I know the answer is 15. however, what they want us to do is create an equation using inequalities (<, >, etc..) That's what I don't know how to do with this problem. I'm trying to explain it to my daughter but I don't know how to do it myself.

Answers

We are given that there are 20 students and an unknown number of adult chaperones.

Let x denotes the unknown number of adult chaperones.

The bus holds at most 35 people

We know that 20 students plus x number of adult chaperones should be at most 35

at most 35 means equal or less than 35

So we can write

[tex]20+x\le35[/tex]

Now we can easily solve for x

[tex]\begin{gathered} 20+x\le35 \\ x\le35-20 \\ x\le15 \end{gathered}[/tex]

Solve the equation. Check your solution.20x - 4= 50x + 2x=(Simplify your answer. Type an integer or a simplified fraction.)

Answers

20x - 4 = 50x + 2

Solve for x

20x - 50x =

Rebecca must complete 15 hours of volunteer work. She does 3 hours each day.

For the linear equation that represents y, the hours Rebecca still has to work after x days, what does the y-intercept represent?

Answers

The y-intercept represents the hours Rebecca must work.

How to represent linear equation?

Linear equation can be represented in slope intercept from, point slope form and standard form.

Therefore, in slope intercept form it can be represented as follows:

Hence,

y = mx + b

where

m = slopeb = y-intercept

She must complete 15 hours of volunteer work. She does 3 hours each day. Let's represent Rebecca situation in linear form.

where,

y = hours Rebecca still has to work

x = the number of days

Therefore,

y = 15 - 3x

The y-intercept is 15 which implies the number of hours she must complete.

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The number of hours Rebecca must work is represented by the y-intercept in the linear equation.

What is the linear equation?

An equation is said to be linear if the power output of the variable is consistently one.

The linear equation is y = mx + c, where m denotes the slope and c is its intercept.

Given that she is required to put in 15 hours of volunteer work. Each day, she works three hours.

As per the given situation,

If x represents the number of days and y represents the number of hours she must work

So the linear representation shows Rebecca's situation will be:

y = 15 - 3x

Therefore, the number of hours Rebecca must work is represented by the y-intercept in the linear equation.

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5. Noah is solving an equation and one of his moves is unacceptable. Hereare the moves he made. Which answer best explains why the "divide eachside by x step is unacceptable? *2(3+6) - 4= 8 + 6321 + 12 - 4= 8 + 612.1 + 8 = 8 + 6.120 = 602 = 6original equationapply the distributive propertycombine like termssubtract 8 from both sidesdivide each side by IO When you divide both sides of 2x = 6x by x you get 2x^2 = 6x^2.When you divide both sides of 2x = 6x by x it could lead us to think that there is nosolution while in fact the solution is x = 0..aWhen you divide both sides of 2x = 6x by x you get 2 = 6x.aOWhen you divide both sides of 2x = 6x by x it could lead us to think that there is nosolution while in fact the solution is x = 3..

Answers

SOLUTION

Write out the original equation

[tex]2(x+6)-4=8+6x[/tex]

Then, Apply the distributive property on the left hand side of the equation

[tex]\begin{gathered} 2x+12-4=8+6x \\ 2x+8=8+6x \end{gathered}[/tex]

Then combine trhe like terms subtracting 6x from both side

[tex]\begin{gathered} 2x+8-6x=8+6x-6x \\ 2x-6x+8=8 \end{gathered}[/tex]

Subtract 8 from both sides of the last equation

[tex]\begin{gathered} 2x-6x+8-8=8-8 \\ 2x-6x=0 \\ -4x=0 \\ \end{gathered}[/tex]

hence

Divide both sides by -4, we have

[tex]\begin{gathered} -\frac{4x}{-4}=\frac{0}{-4} \\ \text{Then} \\ x=0 \end{gathered}[/tex]

Therefore, the solution is x=0

Hence

When we divide both sides of the equation by x, we have

[tex]\begin{gathered} \frac{2x}{x}=\frac{6x}{x} \\ 2=6 \\ \text{which implies thier is no solution} \end{gathered}[/tex]

While the solution is x=0

Therefore

When we divide the equation by 2x=6x by x it could lead us to think that there is no solution while the solution is x=0

Answer; The second option is right

What is the value of the expression 2c( a + b) when a = 2, b = 5, and c = 4

Answers

The given expression is

2c(a + b)

From the information given,

a = 2

b = 5

c = 4

By substituting these values into the expression, it becomes

2 * 4(2 + 5)

= 8(7)

= 56

The value of the expression is 56

Hello! I need some help with this homework question, please? The question is posted in the image below. Q15

Answers

ANSWER:

A.

[tex]x=-1,-3,11[/tex][tex]f(x)=(x+3)(x-11)(x+1)[/tex]

STEP-BY-STEP EXPLANATION:

We have the following function:

[tex]f(x)=x^3-7x^2-41x-33[/tex]

To find the zeros of the function we must set the function equal to 0 in the following way:

[tex]x^3-7x^2-41x-33=0[/tex]

We reorganize the equation in order to be able to factor and calculate the zeros of the function, like this:

[tex]\begin{gathered} x^3-7x^2-41x-33=0 \\ -7x^2=-8x^2+x^2 \\ -41x=-33x-8x \\ \text{ Therefore:} \\ x^3-8x^2+x^2-33x-8x-33=0 \\ x^3-8x^2-33x=-x^2+8x+33 \\ x(x^2-8x-33)=-(x^2-8x-33) \\ x^2-8x-33 \\ -8x=3x-11x \\ x^2+3x-11x-33 \\ x(x+3)-11(x+3) \\ (x+3)(x-11) \\ \text{ we replacing} \\ x(x+3)(x-11)=-1 \\ x(x+3)(x-11)+(x+3)(x-11)=0 \\ (x+3)(x-11)(x+1)=0 \\ x+3=0\rightarrow x=-3 \\ x-11=0\rightarrow x=11 \\ x+1=0\rightarrow x=-1 \end{gathered}[/tex]

Therefore, the zeros are:

[tex]x=-1,-3,11[/tex]

And in its factored form the expression would be:

[tex]f(x)=(x+3)(x-11)(x+1)[/tex]

What is the probability that a random selected yard will have fewer than 6 trees

Answers

Based on the given histogram on yards and the number of trees they have, the probability that a random selected yard will have fewer than 6 trees is 60%

How to find the probability?

The probability that in a random yard, the number of trees would be less than 6 trees can be found by the formula:

= Proportion of yards with 0 - 2 trees + Proportion of yards with 2 - 4 trees + Proportion of yards with 4 - 6 trees

The probability that a random yard would have fewer than six trees is therefore:

= 0.35 + 0.20 + 0.05

= 0.60

= 60%

Find out more on probability at https://brainly.com/question/26622630

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