Find the zeros of the function.
y = (x + 1)(x − 3)(x - 6)

Answers

Answer 1
X:{-1,3,6}
To find the zeros we simply set each of them to 0
(X+1)=0 x=-1
(X-3)=0 x=3
(X-6)=0 x=6

Related Questions

PLS HELP PLS
How many days were less than 84°?

Answers

Answer:

D

Step-by-step explanation:

the number of days for 80 - 82 is 7 and the number of days for 82-84 is 9. Those are the only temperatures below 84 degrees, so you add them and get 16 :)

Which of the follow box-and-whisker plots correctly displays this data set?
24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23

Answers

Answer:

Since there isn't any of the following attached, I made my wn attached below

Step-by-step explanation:

Population size: 12

Median: 28.5

Minimum: 23

Maximum: 37

First quartile: 25.5

Third quartile: 30.75

Interquartile Range: 5.25

Outliers: none

Hope this helps you a little more for your last day of finishing hmw :)

Let me know if you need anymore help !

OR have questions

Simplify.
- (u+5)+5 (2u-5)

Answers

Answer:

Step-by-step explanation:

-u-5+10u-25=9u-30

it was easy.

Alfred is building a slide for a new park. He wants the height of the slide to be 8 feet, and he wants the horizontal distance along the ground to measure 10 feet.

After building the slide, Alfred decides the slide needs a vertical safety support and wants to use a 4-foot piece of wood to build the support. How far from the point where the base of the slide meets the ground should Alfred place the vertical support?

A: 20 Feet

B: 1.3 Feet

C: 5 Feet

D: 4 Feet

Answers

Answer:

5ft

Step-by-step explanation:

8/10=0.8

4/0.8=5

#53. will give the best answer brainliest

Answers

Answer:

8x4-2x2+7

Step-by-step explanation:

it's 100 percent right trust me

Suppose a cylinder that holds 3 L of liquid must be created. Determine the radius and height of the cylinder that will minimize the amount of material used in its construction.(Note: 1 L=1,000 cm^3)

Answers

The radius and the height of the dimension that will minimize the amount of material used in the construction are [tex]\mathbf{r = \sqrt[3]{\dfrac{1500}{\pi}} }[/tex] and [tex]\mathbf{h = \dfrac{3000}{\pi ({\dfrac{1500}{\pi}} )^{2/3}}}[/tex] respectively.

How to find the dimension that minimizes a cylinder?

The dimension that minimizes the surface area of a cylinder can be determined by:

Drawing the picture of the problem, Write down & identify optimization as well as the constraint equations;Use the derivative of the optimization equation to find the dimensions.

Given that:

1 L = 1000 cm³3 L = 3000 cm³

The area of the cylinder = (2 πr)h + 2(πr²)

A = 2πrh + 2πr²

The volume of the cylinder

V = πr²h

Let's identify the constraint equation and Optimization equation:

To minimize the surface area of the can, we have:

Area equation = Optimization equation

The constraint equation is the equation that limits us:

Volume equation = constraint equation

So, Let's solve for h in our volume equation, we have:

3000 = πr² h

h = 3000/πr²

Now, from the Area equation

[tex]\mathbf{A = 2 \pi r(\dfrac{3000}{\pi r^2}) + 2\pi r^2}[/tex]

Taking the derivate and setting it to zero, we have;

Derivative:


[tex]\mathbf{A = \dfrac{6000}{ r}+ 2\pi r^2}[/tex]

[tex]\mathbf{A = 6000 r^{-1} + 2\pi r^2}[/tex]

[tex]\mathbf{A' = -6000 r^{-2} + 4\pi r}[/tex]

[tex]\mathbf{A' = 4\pi r-\dfrac{6000}{ r^{2} }}[/tex]

Setting it to zero, we  have:

[tex]\mathbf{0=\dfrac{ 4 \pi r^3 - 6000}{r^2}}[/tex]

Factor out 4

0 = 4(πr³ - 1500)

1500 = πr³

r³ = 1500/π

[tex]\mathbf{r = \sqrt[3]{\dfrac{1500}{\pi}} }[/tex]

The above is the radius that minimizes the surface area of the cylinder;

From [tex]\mathbf{h = \dfrac{3000}{\pi r^2}}[/tex]

[tex]\mathbf{h = \dfrac{3000}{\pi ( \sqrt[3]{\dfrac{1500}{\pi}} )^2}}[/tex]

[tex]\mathbf{h = \dfrac{3000}{\pi ({\dfrac{1500}{\pi}} )^{2/3}}}[/tex]

Thus, the radius and height that minimize the amount of material to be used in its construction are [tex]\mathbf{r = \sqrt[3]{\dfrac{1500}{\pi}} }[/tex] and [tex]\mathbf{h = \dfrac{3000}{\pi ({\dfrac{1500}{\pi}} )^{2/3}}}[/tex] respectively.

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You plan on making a $235.15 monthly deposit into an account that pays 3.2% interest, compounded monthly, for 20 years. at the end of this period, you plan on withdrawing regular monthly payments. determine the amount that you can withdraw each month for 10 years, if you plan on not having anything in the account at the end of the 10 year period and no future deposits are made to the account. a. $769.27 b. $767.23 c. $78,910.41 d. $79,120.84

Answers

Based on the calculation below, the amount that can be withdrawn each month for 10 years is a. $769.27.

Calculation of monthly withdraw

First, we calculate the future value (FV) of the amount after 20 years using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = A * (((1 + r)^n – 1) / r) ................................. (1)

Where,

FV = Future value of the amount after 20 years =?

A = Monthly deposit = $235.15

r = Monthly interest rate = 3.2% / 12 = 0.00266666666666667

n = number of months = 20 * 12 = 240

Substituting the values into equation (1), we have:

FV = $235.15 * (((1 + 0.00266666666666667)^240 – 1) / 0.00266666666666667) = $78,910.41

The amount planned to be withdrawn on monthly basis can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:

P = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)

Where;

P = Monthly withdrawal or payment = ?

PV = Present value = FV calculated above = $78,910.41

r = Monthly interest rate = 3.2% / 12 = 0.00266666666666667

n = number of months = 10 * 12 = 120

Substitute the values into equation (2), we have:

P = $78,910.41PV / ((1 - (1 / (1 + 0.00266666666666667))^120) / 0.00266666666666667) = $769.27

Therefore, the amount that can be withdrawn each month for 10 years is $769.27.

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The answer is A: $769.27

-----------------------------------------------------------------

Have a great day and God bless! :D

Please Help Giving Brainlist!!!!! Given that the area of rectangle IJKL is 490 units^2, what are its length and width?

Answers

Answer:

Option 4

Step-by-step explanation:

Equating given length and width to the area :

8x(5x) = 49040x² = 490x² = 490/40x² = 12.25x = 3.5

Finding the dimensions :

length = 8x = 8(3.5) = 28 unitswidth = 5x = 5(3.5) = 17.5 units
LB=4908x×5x=49040x²=4904x²=49(2x)²=7²2x=7x=7/2x=3.5

L=8(3.5)=28unitsB=5(3.5)=17.5units

help me with this question please! it’s VERY URGENT and i dont know where to begin with❗️

Answers

Answer:

[tex] |x|1 | \: 2 | \: 3 | \: 4 | \: 5 | \\ |y| 5| \: 4 \: | 3 \: | 2 | 1| [/tex]

Step-by-step explaination:

We were told that:

[tex] x + y = 6 [/tex]

therefore to see if it is correct you can just input the values for x and y and see if they add up to 6 (add the vertical values). For example;when x = 1, y = 5 or when x = 2, y = 4

Which function rule represents the best line of fit for the data in the plot?

Answers

Answer:

f(x) = -1/2x + 8

or

The first one

Step-by-step explanation:

hope this helps

have a good day

Equation of a line that goes through the following points: (4,1) and (7,10)

Answers

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{10}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{9}{3}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{4}) \\\\\\ y-1=3x-12\implies y=3x-11[/tex]

help pleaseeeeeee. i don’t onowww

Answers

in an exponential expression, the rate of change is usually the parenthesized expression, namely on y = a(b)ˣ, the rate will be "b", so in this case the rate is just ∛24

[tex]\sqrt[3]{24} ~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^3\cdot 3 \end{cases}\implies \sqrt[3]{2^3 \cdot 3}\implies 2\sqrt[3]{3}[/tex]

Find the equation of the line.
Use exact numbers.
y
y
8-
7
6+
-9-8-7-6-5-4-32
2 3 4 5 6 7 8 9
-27
-3
-4
-5
-6
-8

Answers

Answer:

Could you possible line the numbers up a little bit, it'd be better to understand that way.

Find a function y of x such that 2yy′=x and y(2)=6

Answers

Answer:

[tex]y=\sqrt{\frac{x^{2}}{2} +34}[/tex]

Step-by-step explanation:

[tex]2y\left( x\right) y^{\prime }\left( x\right) =x[/tex]

[tex]\Longrightarrow \int 2y\left( x\right) y^{\prime }\left( x\right) dx=\int x\ dx[/tex]

[tex]\Longrightarrow y^{2}\left( x\right) =\frac{x^{2}}{2} +c\ \text{(c is a constant)}[/tex]

[tex]y\left( 2\right) =6\Longleftrightarrow y^{2}\left( 2\right) =36[/tex]

[tex]y^{2}\left( 2\right) =36\Longleftrightarrow \frac{\left( 2\right)^{2} }{2} +c=36\ \Longleftrightarrow c=34[/tex]

[tex]\Longrightarrow y\left( x\right) =\pm\sqrt{\frac{x^{2}}{2} +34}[/tex]

Solve log (5x+7)=log(8x-2)

Answers

The answer is x=3
You’re welcome

Type the correct answer in the box. use numerals instead of words. for this question, any non-integer answers should be entered as decimals, rounded to the hundredths place. consider this data set. 25.5 26 18.2 15.3 28.5 27 20.7 20.2 26.1 18.2 21.4 17.9 24.3 22.6 19.6 the mean of the data set is , and the sample proportion of numbers less than the mean is %.

Answers

The mean of the data set is 22.1

The sample proportion of numbers less than the mean is %53

Calculations and Parameters:

To find the mean,

We would sum the numbers and then divide them by the number of data.

25.5 + 26 + 18.2 + 15.3 + 28.5 + 27 + 20.7 + 20.2 + 26.1 + 18.2 + 21.4 + 17.9 + 24.3 + 22.6 + 19.6

= 331.5

331.5/15= 22.10.

To find the proportion of numbers, we would order them:

15.3

17.9

18.2

18.2

19.6

20.2

20.7

21.4

---------

22.6

24.3

25.5

26

26.1

27

28.5

The discontinuous line shows the split of the data that are less than the mean.

Those data are 8 in number and their proportion is:

8 / 15

= 0.53

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i cannot understand this AT ALL (would be glad to have an explanation)

Answers

hmmm well, don't be so  hmmm off due to it, the wording in the exercise sux0rs bad, is very poorly worded and laid out.

if X and Y are numbers, hmmm say let's give them hmmm ohhh X = 7 and Y = 13.

And X and Y are also complete cubes, well, let's make them so, X = 7³ and Y = 13³.

which of those expressions are complete cubes, or namely, something that we can write as a number with a "3" in the exponent, let's check each one.

[tex]\begin{array}{ll|l|l|lllll} 8X&\implies 8\cdot 7^3& 2^3\cdot 7^3& (2\cdot 7)^3& 14^3 ~~ \checkmark\\&&&&\\ X,Y&\implies 7^3,13^3 ~~ \checkmark&&\\&&&&\\ -X&\implies -7^3~~ \checkmark&&\\&&&&\\ 27XY&\implies 27\cdot 7^3\cdot 13^3& 3^3\cdot 7^3\cdot 13^3& (3\cdot 7\cdot 13)^3& 273^3~~ \checkmark\\&&&&\\ XY+27&\implies 7^3\cdot 13^3+27&(7\cdot 13)^3 + 3^3&&91^3+3^3 ~~ \bigotimes \end{array}[/tex]

what's wrong with the last one?  well, if we were to add 91³ + 3³ = 753598.  Now, is 753598 a complete cube? well, only if we could write it as a whole number with a "3" above, can we? nope.

we can simply check that by getting the 3rd root of that value,

[tex]\sqrt[3]{753598}\approx 91.00108681228277\impliedby \textit{not a complete cube}[/tex]

Calculator
What is the length
YX₂
Enter your answer as a decimal in the box. Round your final
answer to the nearest hundredth.
m
of
9m
19 m
A•
X
N

Answers

Answer:

1. You can solve this problem by applying the Tangent Secant Theorem. Then, you have:

YX²=(YZ)(YV)

YX=√(YZ)(YV)

YZ=9+19

YV=9

2. When you substitute the values of YZ and YV into YX=√(YZ)(YV), you obtain:

YX=√(YZ)(YV)

YX=√(9+19)(9)

YX=√(28)(9)

YX=√252

YX=15.87

What is the length of YX?

The answer is: The lenght of YX is 15.87

is 1.010010001 rational

Answers

Answer:

Yes, 1.010010001 is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

yes, 1.010010001 is rational

Step-by-step explanation:

A rational number has the form p q, where p and q are integers, q* 0 otherwise it is an irrational number.

Hello, please choose the correct answer.

A.) 5

B.) square root of 5

C.) 25

D.) 7

Answers

Answer:

A) 5

Explanation:

[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}[/tex]

Here given points:

(6, 8), (3, 4)

Distance:

[tex]\rightarrow \sf \sqrt{(6 - 3)^2 - (8 - 4)^2}[/tex]

[tex]\rightarrow \sf \sqrt{9 +16}[/tex]

[tex]\rightarrow \sf \sqrt{25}[/tex]

[tex]\rightarrow \sf 5[/tex]

Full explanation please
Interior and Exterior Triangle Angles (1/5)
Will mark brainlist to you ever answers first

Answers

Answer:

∠N = 21

Step-by-step explanation:

Angle sum property

Sum of all angles of triangle = 180°

   4x - 13 + 2x - 13 + 5x + 19 = 180

    4x + 2x + 5x  -13 - 13 + 19 = 180

Combine like terms

                       11x  - 7  = 180

                               11x = 180 + 7

                                11x = 187

                                  x = 187/11

x = 17

m∠N = 2x - 13

           = 2*17 - 13

           = 34 - 13

          = 21

I need help with this assignment!

Answers

The area of the reflective material is:  284 square yards.

What is a rectangle?

A rectangle is a quadrilateral with four sides and four right-angles.

it has two lines of symmetry.

Analysis:

To find the area of the reflecting material we find the area of the following shapes: trapezium + rectangle + triangle

bigger base of trapezium = 2 + 6 + 2 = 10 yard

smaller base of trapezium = 6

length of rectangle = 18 yard

width of rectangle : 2+6+2 = 10 yard

base of triangle is =  10 yard

Area of reflective material = 1/2(6+10) + 18x10 + 1/2(10)(8) = 284 square yards

In conclusion, the area of reflective material is : 284 square yards.

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89 +500= 589 because if you add 500 + 89 and you get 589 or you can subtract 89 from 500

Answers

Answer: Second statement is false

Step-by-step explanation: You cannot subtract 89 from 500 and get 500. You get 411.

integral from 0 to 5 of x^2 + 3 dx

Answers

Answer:

=170/3 or (decimal 56.67)

Step-by-step explanation:

Steps

∫⁵ x²+3dx

Apply the Sum Rule: ∫fx) + gx) dx = ∫f(x)dx +-∫ g(x)

dx

∫⁵ x² dx +∫⁵ 3dx

⁰ ⁰

∫⁵ x² dx=125/3

∫⁵ 3dx=15

125/3+15

=170/3

Solve:

2x-1/x+4 is greater than or equal to 0

Answers

The solution range of the given inequality is  (-∞, -4.121) and (0.121,∞)

How to solve the inequality?

Here we want to solve:

[tex]2x - 1/(x + 4) \geq 0[/tex]

To solve this, we multiply both sides by (x + 4) so we get:

[tex]2x*(x + 4) - 1 \geq 0\\\\2x^2 + 8x - 1 \geq 0[/tex]

Now we can solve it graphically, below we have:

There we can see that the solution range is (-∞, -4.121) and (0.121,∞), the regions where the graph is equal or above the horizontal axis.

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In circle R, RS = 12 and m/SRT = 90°. Find the length of ST. Express your
answer as a fraction times 7.
R
T
S

Answers

Answer:

[tex]l(\widehat {ST})=6\pi [/tex]

Step-by-step explanation:

Radius (r)= RS = 12 (Given)

[tex] Central\: angle \:(\theta) = m\angle SRT =90\degree[/tex] (Given)

To find: [tex]l(\widehat {ST})[/tex]

Formula for finding the length of arc is given as:

[tex]l(\widehat {ST})=\frac{\theta}{360\degree}\times 2\pi r[/tex]

[tex]l(\widehat {ST})=\frac{90\degree}{360\degree}\times 2\pi (12)[/tex]

[tex]l(\widehat {ST})=\frac{1}{4}\times 24\pi [/tex]

[tex]l(\widehat {ST})=6\pi [/tex]

The required length of an arc ST is 6π units which is subtended by an angle.

What is an arc?

The arc is a portion of the circumference of a circle.

The formula for calculating the arc states that:

Arc length = 2πr (θ/360)

Where r = the radius of the circle,

θ = the angle (in degrees) subtended by an arc at the center of the circle.

As per the question, we have:

θ = 90° and r = 12 units

Substitute the given values in the formula,

Arc length = 2π(12) (90/360)

Arc length = 6π

Therefore, the required length of an arc ST is 6π units.

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Does anybody know this? I got told it was 828.8 by someone and it was wrong.Find the surface area of the square pyranid

Answers

Answer:

  800 ft²

Step-by-step explanation:

The total surface area of a square-base pyramid is given by the formula ...

  A = s(s +2h) . . . . . . where s is the side length, h is the face slant height

In this problem, we need to find the slant height of a face in order to use this formula.

__

slant height

The distance from the middle of one edge of the base to the peak of the pyramid is the slant height of a face of the pyramid. It is the hypotenuse of a right triangle whose legs are the pyramid height, and half the width of the base. For this pyramid, that is a right triangle with legs 15 and 8.

The Pythagorean theorem is used to find the hypotenuse of that triangle:

  c² = a² +b² . . . . square of hypotenuse = sum of squares of legs

  c² = 15² +8² = 225 +64 = 289

  c = √289 = 17

The slant height of a face of the pyramid is 17 ft.

total area

The area formula tells us the total surface area is ...

  A = s(s +2h)

  A = (16 ft)(16 ft + 2×17 ft) = (16 ft)(50 ft)

  A = 800 ft²

The total surface area is 800 square feet.

0.025 / 0.08 how do you do it so can you explain the steps​

Answers

Answer:

5 / 16

Step-by-step explanation:

For a question such as this, we most often simply use a calculator. However, I suppose that to do this by hand you would do as follows:

0.025 / 0.080

= 0.005  / 0.016

= 100 * (0.005 / 0.016)

= 5 / 16

The first step is a simplification. Both the numerator and denominator are divisible by 0.005.  In the next step, we can multiply the numerator and denominator both by 100 to get whole numbers. Because we multiply each by the same number, we have not changed the value of the original fraction. This leaves us with 5 / 16.

0.025÷0.0825/1000÷8/10025/1000×100/825/10×1/825/805/16

Done

Due to its weakening steel industry, Clay County has been experiencing population decline of 3% every year. The current population is 10,300 people. Assuming the trend continues, what will the population be in 10 years?

Answers

Using an exponential function, it is found that the population of Clay County will be of $13,482.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.

The equation is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 10300(1 + 0.03)^t[/tex]

[tex]A(t) = 10300(1.03)^t[/tex]

Hence, in 10 years, the population will be given by:

[tex]A(10) = 10300(1.03)^{10} = 13842[/tex]

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Answer: 7,595

Step-by-step explanation:

ixl

a roll of netting measures r metres.ryan bought 1/4 of a roll and trimmed 2 metres of the netting.he had 5 meters of netting left.how long was the original role of the netting before Ryan bought it​

Answers

Answer:

28 m

Step-by-step explanation:

full roll length: r

Ryan bought: r/4

He trimmed 2 m: r/4 - 2

Length left: 5

r/4 - 2 = 5

r/4 = 7

r = 28

Answer: 28 m

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