Approximate the real zeros of f(x)= x^3 - 4x + 6 to the nearest tenth.
Please select the best answer from the choices provided
A -5
B -2
C -5.2
D -2.5

Answers

Answer 1

Answer:

x ≈ - 2.5; Option D

Step-by-step explanation:

Let us substitute f ( x ) with 0, as to find the " real zero " of the function;

0 = x^2 - 4x + 6, ⇒ Now find one solution for x^2 - 4x + 6 = 0, using Newton - Raphson, provided it applies an iterative process to approach one root of a function, ( x( n + 1 ) = x( n ) - ( f( x( n ) ) )/( f '( x( n ) ) ) ),

d / dx * ( x^3 - 4x + 6 ), ⇒ Apply sum / difference rule ( f ± g ) ' = f ' ± g, '

d / dx * ( x^3 ) - d / dx * ( 4x ) + d / dx * ( 6 ), ⇒ Simplify,

3x^2 - 4 + 0, 3x^2 - 4, ⇒ Compute x( n + 1 ) until Δ x( n + 1 ) < 0.000001,

x ≈ - 2.52510.....

Answer; x ≈ - 2.5; Option D


Related Questions

can you please help me out​

Answers

Answer:

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Step-by-step fweexplanation:

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Multiple choice please please answer

Answers

Answer:

[tex] \purple { \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]

Step-by-step explanation:

[tex] \sin \: 39 \degree = \frac{x}{25} \\ 25 \times \sin \: 39 \degree = x \\ \huge \red{ \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]

what is the solution of this equqtion? -7y -3=11​

Answers

Answer:

y = -2​

Step-by-step explanation:

-7y -3=11​

Add 3 to each side

-7y -3+3=11+3

-7y = 14

Divide by -7

-7y/-7 = 14/-7

y = -2​

Answer:

Hello,

y = -2

Step-by-step explanation:

-7 y - 3 = 11​ ⇔ -7 y - 3 + 3 = 11 + 3 ⇔ -7 y = 14 ⇔ y = 14 / -7 ⇔ y = -2

The areas of the squares adjacent to two sides of a right triangle are 32 units^2 2 squared and 32 units^2 Find the length, xxx, of the third side of the triangle.

Answers

Answer:

8 units

Step-by-step explanation:

If the area of the squares are 32 units^2, we have that:

Area = Side * Side

Side^2 = 32

Side = sqrt(32) = 5.657 units

So as the squares are adjacent to two sides of the triangle, we have that the triangle has two sides of 5.657 units

As it is a right triangle, we can use the Pythagoras' theorem:

c^2 = a^2 + b^2

c^2 = 5.657^2 + 5.657^2

c^2 = 64

c = 8 units

Answer:

its 8

Step-by-step explanation:

Which are ways to decompose the composite figure into simpler shapes that you have area formulas for? Check all that apply.

Answers

Answer:

1st  and second, unless you have already learned area of trapezoids. If you have, add third

Step-by-step explanation:

Answer: this is ez its

first

second

third

Step-by-step explanation:

70miles in 2 hours unit rate??

Answers

Answer:

The answer is 35

Step-by-step explanation:

70 divided by 2 is 35 which would be 35 miles per hour which would be your unit rate.

Carlos has 4/5 of a tank of fuel in his car. He uses 1/10 of a tank per day.
How many days will his fuel last.

Answers

Answer:

8 days.

Step-by-step explanation:

To solve this, we will need to divide fractions to find the amount of days his fuel will last. Remember that when dividing fractions, you need to multiply by the reciprocal of the fraction.

We can do this by:

[tex]\frac{4}{5} * \frac{10}{1} = \frac{40}{5} = 8[/tex]

Therefore, his gas will last 8 days.

Answer:

8

Step-by-step explanation:

number of days=total fuel÷consumption per day

=(4/5)÷(1/10)

=4/5 ×10/1

=8 days

The drop that riders experience on Dr. Doom’s Free Fall can be modeled by the quadratic function, h(t) = −9.8t2−5t + 39
where h is height in meters and t is time in seconds.

Determine the actual solution to the questions below. Use the previous question to assist you.

(a) What is the starting height of the riders?

The starting height of the riders is meters.

(b) According to the function, when will the height of the riders equal 0? Round to the nearest tenths place. *hint: find the solution(s).

The height of the riders will equal 0 at seconds.

Answers

Answer:

a) 39 meters

b) t = 1.8 seconds

Step-by-step explanation:

a)

To find the starting height of the riders, we just need to use the value of t = 0 in the equation of h(t):

h(0) = -9.8*0^2 - 5*0 + 39

h(0) = 39 meters

b)

To find when the height will be equal 0, we just need to use the value of h(t) = 0 and then find the value of t:

0 = -9.8*t^2 - 5*t + 39

Delta = b^2 - 4ac = 25 + 4*39*9.8 = 1553.8

sqrt(Delta) = 39.418

t1 = (5 + 39.418)/(-2*9.8) = -2.2662 s (A negative value for the time is not suitable for the problem)

t2 = (5 - 39.418)/(-2*9.8) = 1.756 s

Rounding to nearest tenth, we have t = 1.8 s

Please help it’s with applying Rational numbers. First to answer is Brainliest!!!!!!!!
Donna is hanging a poster on her wall she wants to center it horizontally. The poster is 25 7/10 inches long, the space between the right edge of the poster and the right edge of the wall is 50 1/4 inches in the wall is 134 1/5 Inches long. Is the picture centered? Use the numbers given to find out, and use estimation to check if your answer is reasonable.

Answers

Answer:

The poster is not centered.

Step-by-step explanation:

In the image attached you can observe a representation of this situation.

First, we need to transform each mixed number to a fraction.

[tex]25 \frac{7}{10}=\frac{257}{10}=25.70 \ in[/tex]

[tex]50 \frac{1}{4} =\frac{201}{4} =50.25 \ in[/tex]

[tex]134 \frac{1}{5} = \frac{671}{5} =134.20 \ in[/tex]

Now, if the poster is centers, then the distance to the wall on the right and on the left, must be equal. We know that the space on the right is 50.25 inches. Then, we subtract to find the other side

[tex]134.20-50.25-25.70=58.25 \ in[/tex]

So, the space in the left side of the poster is 58.25 inches long.

Therefore, the poster is not centered.

Is the ordered pair (4, -2) a solution to this system? Explain why or why not.

Answers

Answer: No, it would not be a solution.

Step-by-step explanation:

The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.

A candle maker adds lemon oil to wax to make the lemon-scented candle shown. How many ounces of oil will he need for the candle to have 0.0025 ounces of oil per cubic centimeter of wax.

Answers

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

Answer:

5 ounces

Step-by-step explanation:

Andre’s father is 8 years more than twice Andre’s age, a. The sum of their ages is 53, how old Andre?

Answers

Answer:

15 years old

Step-by-step explanation:

The equation would be

8x + 2x + x = 53

3x = 45

x = 15

What is 4 1/5 multiplied by 3/10

Answers

Answer:

1 13/50

Step-by-step explanation:

4 1/5 * 3/10

Change the mixed number to an improper fraction

4 1/5 = (5*4+1)/5 = 21/5

21/5 *3/10

63/50

Changing back to a mixed number

1 13/50

Answer:

1 13/50

Step-by-step explanation:

4⅕ × 3/10

21/5 × 3/10

63/50

1 13/50

the lines below are parallel. If the green line has a slope of 5, what is the slope of the red line? Enter your answer as an integer or fraction in lowest terms​

Answers

Answer: 5

Step-by-step explanation: As a rule, parallel lines will always have the same slope. What that means is that if you're told that 2 lines are parallel, the slopes will be exactly the same for both of them.

So if the green line has a slope of 5, the red

line also has a slope of 5.

Did Julio verify the solution?
O No. He substituted 4 and -2 for the wrong
variables.
O No. He did not check the point in the second
equation
O No. He simplified the equation incorrectly.
Yes. He verified that (4, -2) is a solution to the
system of equations.


ASAP

Answers

Answer:

No. He did not check the point in the second equation.

Step-by-step explanation:

Took the assignment

Answer:

no he did not check his second equation

Step-by-step explanation:

Just took it hope this helps.

Laura has set out 60 m of a kite string which makes an angle of 68° with the ground what is the height of the kite

please help

Answers

I helped gsuusjjsjskaijzihxuhw 9ud9wusiuw

y=3x−5 and y=x−1 ​ Is (2,1) a solution of the system?

Answers

Answer:

Yes (2,1) is a solution to the equation

Step-by-step explanation:

what is the solution of this equation? -9+7b=8b-7​

Answers

Answer:

[tex]b=-2[/tex]

Step-by-step explanation:

[tex]-9+7b=8b-7\\-9+9+7b=8b-7+9 \leftarrow \text {Addition Property of Equality} \\7b+8b=2\\7b-8b+8b-8b=2\leftarrow \text {Subtraction Property of Equality} \\-b=2\\\frac{-b}{-1}=\frac{2}{-1} \leftarrow \text {Division Property of Equality}\\\boxed {b=-2}\\\\\huge\text {The value of 'b' should be -2}[/tex]

the front side of a doghouse is shown in this scale drawing The height of the door in the drawing is 2 inches and the width is 3.5 inches. ... Using the scale given, enter the actual height, in feet, of the doghouse door.

Answers

Answer:

So, every one inch in the real dog house would be equal to .4 on the scale drawing.

So,

8/.4= 20

10/.4= 25

So, the dog house is 20 by 25 inches.

The question asked for the area.

20*25= 500

The real dog house has an area of 500 in^2.

I hope this helps!

Step-by-step explanation:

Find the number, if...

3/8 of it is 24.

Answers

If 3/8 is 24 then 8/8 is 64

Find the volume of the figure

Answers

Answer:

You would do length x width x hight so it would be and don’t forget to add the inches

14x17.5x6.4= 1641.5in

You are part of a football team there are three possible outcomes for each match: win, lose or draw. What is the probability of winning the next two matches in a row? □ in □

Answers

Answer:

Probabilty of winning the next two matches in a row = 1/9

Step-by-step explanation:

The total number of possible outcome = 3

(Win, lose, draw)

The probability of obtaining a win in a single match = 1/3

The probability of winning in two rows is 1/3² = 1/9

A student is deriving the quadratic formula. Her first two steps are shown.

Step 1: –c = ax2 + bx

Step 2:

Which best explains or justifies Step 2?

Answers

Please consider the complete question.

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: [tex]-c = ax^2 + bx[/tex]

Step 2: [tex]-c = a[x^2+\frac{b}{a}x][/tex]

Which best explains or justifies Step 2?

A. division property of equality

B. factoring the binomial

C. completing the square

D. subtraction property of equality

We can see that in step 2 student has factored the right side of equation.

The student factored our a from the right side of equation. To factor our a from right side, student has divide the bx term by a.

We can multiply and divide by same quantity in an equation.

[tex]-c = ax^2+a\cdot \frac{b}{a}x[/tex]

Now we can factor out a as:

[tex]-c = a(x^2+\frac{b}{a}x)[/tex]

Therefore, the 2nd step is known as factoring of binomial and option B is the correct choice.

Answer:

it b factoring a binomial on

Step-by-step explanation:

thats on edge

what’s the sum of 0.25 and 0.6

Answers

the answer is 0.85

because 25 plus 60

is 85

PLS HELP WITH THIS QUESTION, ASAP!!

BRAINLIEST AND POINTS

Answers

It is 3.15 x 10^-7. You find what 1.05 x 10^-10 is in scientific notation (0.00000000105), times that by 3000, and you end up with 0.000000315 (3.15 x 10^-7 is the answer)  :)

Hailey has 48 inches of ribbon. How many feet of ribbon does she have?

Answers

Conversion:

12 inches = 1 foot

Divide:

48 / 12 = 4

Therefore, Hailey has 4 feet of ribbon.

Best of Luck!

Answer: 4 foot of ribbon

Step-by-step explanation: there is 12 inches in one foot so this means to get the answer you must divide 48 by 12 to get 4 so 4 feet is the answer

hope this helps and mark me brainliest if it did hope you have a great day

easy geometric shapes question!

Answers

Answer:

Cylinder

Step-by-step explanation:

The given geometric shape is of a cylinder.

Answer:

Cylinder

Step-by-step explanation:

The shape will make a cylinder if put together.

Simply the expression. (7x^2y^3)^4

Answers

Answer:

2401x^8y^12

Step-by-step explanation:

You raise 7 to the 4th power which means you multiply 7 four times. Then you multiply the exponents of 2 variables by 4.

Michael and Levin ran laps after school to train for the football team. The ratio of the number of laps Michael ran to the number of laps Levin ran was three to four. If Michael ran 12 laps, how many laps did Levin run?

Answers

Answer:

Levin ran 16 laps

Step-by-step explanation:

3 to 40

12 to 16

Answer:hi

Step-by-step explanation:

I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?

Answers

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

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