X cube+6x-16=0
find all solutions by factoring.
answers
(-2,8)
(-8,2)
(2,8)
(-8,-2)

Answers

Answer 1

Answer:

  (b)  {-8, 2}

Step-by-step explanation:

The given equation

  x³ +6x -16 = 0

cannot be factored in integers. It has one irrational real root near x=1.759, and two complex roots.

__

Perhaps you want to factor ...

  x² +6x -16 = 0

  (x +8)(x -2) = 0

This has solutions x = -8 and x = 2 that make the factors be zero.

_____

Additional comment

"Cubed" refers to an exponent of 3.

X Cube+6x-16=0find All Solutions By Factoring.answers (-2,8)(-8,2)(2,8)(-8,-2)
Answer 2

Answer:

Option b] (2,-8)

Step-by-step explanation:

⇒ x³ + 6x - 16 = 0

♦ the value of one root is irrational and other two are complex roots.

⇒ x² + 6x - 16 = 0

⇒ (x + 8)(x - 2) = 0

x = 2 , -8


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The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a. M. H = 0. 5 cosine (StartFraction pi Over 12 EndFraction t) 9. 5 h = 0. 5 cosine (StartFraction pi Over 6 EndFraction t) 9. 5 h = cosine (StartFraction pi Over 12 EndFraction t) 9 h = cosine (StartFraction pi Over 6 EndFraction t) 9.

Answers

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; [tex]\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]

Therefore;

[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]

b = The cycle speed

The period, T, is given as follows;

[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]

The period of a block, T = 12 hours

Therefore;

[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]

[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]

[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]

At t = 0, H = The highest point = 10 ft.

Which gives;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]

[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]

The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5

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Solve the following system of equations using the substitution method.

x = 2y
2x + 5y = 9

Answers

(2 x 2y) + 5y = 9
4y + 5y = 9
9y = 9
y = 1

From the given system of equation x = 2y and 2x + 5y = 9, using the substitution method we get the value of y = 1.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have given system of equation

x = 2y

2x + 5y = 9

Using the substitution method

2(2y) + 5y = 9

4y + 5y = 9

9y = 9

y = 1

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#SPJ2

Simplify the expression. Explain each step 7(4y)

Answers

Answer: 28 y

Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y

If the slope of a line is 2/3 and one point is (1, 1), what could be another point?

Answers

Answer:

(3,4)

Step-by-step explanation:

My old teacher taught me a trick for this. Treat the first number like the y and the second like the x. Count Accordingly from there.

Help me Please no bots I need help

Answers

Answer:

  y = 2/3x + 3/2

Step-by-step explanation:

18 inches is 3/2 feet. 8 inches is 2/3 feet.

The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.

  y = 2/3x + 3/2

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 41 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)

Answers

Answer:

0.5160

Step-by-step explanation:

Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

number of samples

From the information given,

µ = 15

σ = 4

n = 31

We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as

P(14.5 ≤ x ≤ 15.5)

For x = 14.5

z = (14.5 - 15)/(4/√31) = - 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.2420

For x = 15.5

z = (15.5 - 15)/(4/√31) = 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.7580

Therefore,

P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160

Which statement is true about the relationship between the amount of plant food remaining and the number of days

Answers

Answer:

This relationship is not a function because more than one amount of plant food remains each day.

Step-by-step explanation:

i hope this is correct but sorry if im wrong

What’s
9 times 13 1/2

Answers

Answer:

answer is 121.5

Step-by-step explanation:

Answer:

121.5

Step-by-step explanation:

first make 13 1/2 into a mixed fraction which is 27/2 then multiply by 9/1 you should get 243/2 and once you divide, you should have 121.5

Reed compró 1.8 libras de frijoles. Los frijoles cuestan
$1.27 por libra. ¿Cuál fue el precio total de los frijoles que compro Reed?

Answers

Answer:

1.27? :v

Step-by-step explanation:

porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.

Which property of equality should Wade use to solve the equation StartFraction x Over 6 EndFraction = 3?

Answers

The property of equality Wade would use to solve the equation StartFraction x Over 6 EndFraction = 3 is multiplication property of equality.

Given:

StartFraction x Over 6 EndFraction = 3

x / 6 = 3

apply multiplication property of equality by crossing multiply

x = 3 × 6

x = 18

check:

x / 6 = 3

18 / 6 = 3

3 = 3

Therefore, the property of equality Wade would use to solve the equation StartFraction x Over 6 EndFraction = 3 is multiplication property of equality.

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Answer:

C) Multiplication property of equality.

Step-by-step explanation:

Did the test, but it's because to cancel the division, you need to multiply. in this case, they'd multiply by six to cancel the fraction or x/6.

x/6=3

x/6x6=3x6

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A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?

Answers

Answer:

124 tiles

Step-by-step explanation:

2(20+40)

2(60)

120+4=124

Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
NEXT QUESTION
READ NEXT SECTION
ASK FOR HELP

Answers

Answer:

Definitions matched below with vocabulary words

Step-by-step explanation:

A number, a variable, or the product of a number and variable(s)

→ 3. term

A letter used to represent an unknown number

→ 4. variable

The number in front of a variable in a term

→ 1. coefficient  

A single term, multiple terms connected by an addition or subtraction sign

→ 5. expression

A number, a term containing no variables

→ 2. constant

If 3 Superscript 2 x 1 Baseline = 3 Superscript x 5, what is the value of x? 2 3 4 6.

Answers

The value of x that will make the expression equal is 4. Option B is correct.

Given the indices expression;

[tex]3^{2x+1} = 3^{x+5}[/tex]

Since the base values are the same, they will cancel out to have:

[tex]2x + 1 = x + 5[/tex]

Collect the like terms:

[tex]2x - x = 5 - 1\\x = 4\\[/tex]

Hence the value of x that will make the expression equal is 4

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Answer:

the correct option is C which is 4

Step-by-step explanation:

jesus loves you!!!!!!!!!

What is 13/12 as a percentage?

Answers

13/12 x 100= 108.33%

Can someone plz help me?

Answers

Answethe answer is 12

Step-by-step explanation

Answer:

13 i think

Step-by-step explanation:

if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13

If 3x is one factor of 3x2 – 9x, what is the other factor?
A.)3x
B.)x^2-6x
C.)x-3
Д.)x+3

Answers

Step-by-step explanation:

3x²-9x3x(x-3)

So another factor is option C.)

So another factor is option C.)(x-3)

Her Packet.pdf + 127% 7. Approximately 4% of the population has blonde hair, and 10% of the population has blue eyes. If 75% of people with blonde hair have blue eyes, what percent of the population has blue eyes without blonde hair? Show your work. ​

Answers

Using proportions, it is found that 7% of the population has blue eyes without blonde hair.

10% of the population has blue eyes. These 10% are composed by:

75% of 4%(have blonde hair).x% of 96%(do not have blonde hair)

Hence, the relation according to the proportion of 10% is:

[tex]0.75(0.04) + 0.96x = 0.1[/tex]

[tex]x = \frac{0.1 - 0.75(0.04)}{0.96}[/tex]

[tex]x = 0.0729[/tex]

Out of the entire population:

0.0729(0.96) = 0.07

7% of the population has blue eyes without blonde hair.

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Is 0.5 x 10^4 = 50,000? or 5,000? PLEASE SOMEONE HELP ME WITH THISS. Just tell me if is one of those!! If you see this help me rn bc i gotta do this rn LOL

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\boxed{\mathbf{0.5\times10^4}}\\\large\boxed{\mathbf{= 0.5\times10\times10\times10\times10}}\\\large\boxed{= \mathbf{0.5\times100\times100}}\\\large\boxed{= \mathbf{0.5\times 10,000}}\\\large\boxed{\mathbf{= 5,000}}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{5,000}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

3-(-5)=3+?
Not sure what this was

Answers

Answer:

5

Step-by-step explanation:

3 - ( - 5 )

= 3 + 5

3 + ? = 3 + 5

? = 5

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?

Answers

Answer:

18 Tala

Step-by-step explanation:

6/2= 3

3*6= 18

18 Tala

Highlighter pens cost $3. 86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? n = 3. 86P P equals 3. 86 over n n equals 3. 86 over P P = 3. 86n.

Answers

Answer:

Total = ($3.86)n, but it ids not among the answer options.

Step-by-step explanation:

P would be equal to the price per pen set ($3.86) times the number of pen sets sold, n.

Total, P = ($3.86)n

I translated the paragraph into these options:

n = 3. 86P     No, n = P/3.86

P = 3. 86/n    No, P = 3.86n

n = 3. 86/P    No, n = P/3,86

P = 3. 86n.

Write a two-column proof.

I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF

Answers

Proof:-

In ∆TOP and ∆ZAP

[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]

Hence

∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)

Step-by-step explanation:

Statement                                                  Reason

∠O ≅ ∠A                                                    Given

TO ≅ AZ                                                    Given

∠OPT and ∠ZPA are vertical angles       Vertical angles theorem

∠OPT ≅ ∠ZPA                                           Definition of vertical angles

ΔTOP ≅ ΔZAP                                           Angle - angle -side AAS postulate

Evaluate the equation:



4z = 10

z =

Answers

Answer:

z = 2.5

Step-by-step explanation:

4z = 10

----  -----

4      4

z = 2.5

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

= 82.2×3.6 Show your working out

Answers

The answer would be 295.92

2. The graph represents the amount
of water, y, left in a 13.5-gallon tub
after x minutes. What is the slope of
the line? What does the slope mean
in this context?

Answers

Answer:

Slope: -3/2

With the question, we can determine that the slope with two points: (0,13.5) and (9,0). To calculate use the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and get [tex]\frac{0-13.5}{9-0} =\frac{-13.5}{9} =\frac{-3}{2}[/tex]

This slope means that the water is decreasing at a rate of 3/2 gallons per minute.

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