Find f(3) if
f(x)=x^3+2x^2-x-1

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x) =x^3 +2x^2 -x -1\\\\f(3) =3^3 +2(3^2) -3 -1\\\\~~~~~~~=27+18-4\\\\~~~~~~~=27+14\\\\~~~~~~~=41[/tex]

Related Questions

a) What is the population of interest? Approximately, how many people are in the population of interest? (Recall, the definition of a population is: The collection of all outcomes, responses, measurements, or counts that are of interest.)

b) What is the best data collection method to use for the study (explain)? (Recall, data collection methods are: Observation, Survey, Experiment, Simulation).

c) For one of the three studies, a census is possible. Determine which one and then explain why a census is possible for that study and is not possible for the other two studies. (A census means that we are able to collect data from every unit in the population. Most of the time the population is too large for a census to be feasible)

d) For the two studies where a census is not possible, how many people, students, or cars would you sample out of the population? What sampling technique would you use (see section 1.3)? (Explain your reasoning)

Answers

The What is the population of interest are:

GMC students People who own Cars in Macon, GA.People who eat oatmeal in Georgia.

The data collection method according to the group below

SurveySurveyExperiment

What is the statistical studies about?

The best data collection method for the first one oatmeal and GMC students is survey because the population is large and opinions may differ.

The best data collection method for the cars is Experiment as one needs to study the cars that pass the red lights

For one of the three studies, a census is possible in the first one because the study population is the Georgia which is very large.

For the two studies the one that a census is not needed is GMC students and cars at red light because the population is not too big.

Based on the study I will use 500 people, 200 students, or 300 cars and the sampling technique would be Systematic sampling, Simple random sampling and Judgmental/purposive sampling.

A Simple random sampling is known to be the easiest method of selecting a sample as every member is known to have an equal chance of being selected in the sample.

See the other part of the question below

Write a reply

Consider the following statistical studies:

1. A study (in Georgia) of the effect of eating oatmeal on lowering cholesterol.

2. A study of current GMC students next career move after graduating or transferring from GMC.

3. A study of how many cars run the red light at a certain intersection in Macon, GA.

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The sides of a triangle measure 10 feet, 13 feet, and 17 feet.

How would you explain to a friend that the triangle is not a right triangle?

Answers

A right triangles hypotenuse is the square root of both of the other side squared. The formula for this is a^2 + b^2= c^2, with c being the longest side. So 10 squared is 100, 13 squared is 169, but. 17 squared is 289. The sum of the other two sides are 269. So it doesn’t equal

Step-by-step explanation:

if the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle

bbc

10 squared = 100

13 squared = 169

17 squared = 289

100 + 169 = 269 NOT 289 so

there is no right angle and so its not a right triangle

Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is between 36 and 43? Round your answer to the nearest tenth of a percent.

Answers

Answer:

[tex]P(36 < X < 43)\approx83.5\%[/tex]

Step-by-step explanation:

Use a TI-84 to calculate the probability

[tex]P(\text{Lower} < X < \text{Upper})=\text{normalcdf}(\text{Lower},\text{Upper},\mu,\sigma)\\\\P(36 < X < 43)=\text{normalcdf}(36,43,38,2)\approx0.8351\approx83.5\%[/tex]

The graph below represents which system of inequalities?
A) y > 2x − 3
y > −x − 3

b) y < 2x − 2
y < −x + 3

C) y ≤ 2x − 2
y > −x + 3

D) None of the above

Answers

The system of inequalities that represents the graph are y > -x + 3 and y ≤ 2x - 2

Equation of a line

A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b

For the broken line, the coordinate points will be(0, 3) and (3, 0)

m = -3/3

m = -1

The equation of the line will be y > -x + 3

For the solid line, the coordinate points will be(0, -2) and (1, 0)

m = 2/1

m = 2

The equation of the line will be y ≤ 2x - 2

Hence the system of inequalities that represents the graph are y > -x + 3 and y ≤ 2x - 2

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what would be the answer to this ?
Solve. 5x=15

Answers

Interpretation 1:

[tex]5x = 15 \\ [/tex]

Divide both sides by 5:

[tex]\implies \boxed{x = 3}[/tex]

(Which is the final answer.)

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

Interpretation 2:

[tex] 5^{x}=15[/tex]

Take logarithm to the base 5 on both sides:

[tex]\implies log_5(5^{x})=log_5(15)\\\implies x=log_5 (15) \\\implies x= \frac{ln(15)}{ln(5)} \\\implies \boxed{x≈1.683} [/tex]

(Which is a thing too!)

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

P. S.: Now please don't tell me that this is a PhD level question and this is referring to the Knuth's Up-Arrow Notation. Which translates the question into something like: [tex]^{5}x=15[/tex]

Answer:

x = 3

Step-by-step explanation:

what would be the answer to this ?

Solve.

5x=15

x = 15 : 5

x = 3

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

check

5 * 3 = 15

the answer is good

Simplify 5/8+9/2+(-4/5)+7/8+(-5/2)+7/5
please answer

Answers

Kindly check the attachment below :)

The total area of town C and town D is 120,000 square miles. The area of town C is 30,000 square miles more than that of town D. Find the area land of each town.

Answers

Answer:

Find the area land of each town.

Let x be the area of town D

then, x+ 30000 is the area of town C

we know that,

the total area of town C and town D is 120,000 square miles.

x+x+30000=120000

2x= 90000

x=45000

Area of town D= 45000 square miles

Area of town C= 45000+30000= 75000 square miles.

Identify the first five terms of the sequence in which an = 3n − 1 + 1.

Answers

The first five terms of the sequence represented as an = 3(n -1) + 1 are 1,4, 7, 10 and 13

How to determine the first five terms?

The formula of the sequence is given as:

an = 3(n -1) + 1

The above sequence is an arithmetic sequence, and the first five terms are the values of the sequence when the value of n is from 1 to 5

i.e. n = 1, 2, 3, 4 and 5

Next, we set n = 1, 2, 3, 4 and 5, and substitute these values for n in an = 3(n -1) + 1

So, we have the following equations

First term

a1 = 3(1 -1) + 1 = 1

Second term

a2 = 3(2 -1) + 1 = 4

Third term

a3 = 3(3 -1) + 1 = 7

Fourth term

a4 = 3(4 -1) + 1 = 10

Fifth term

a5 = 3(5 -1) + 1 = 13

Hence, the first five terms of the sequence represented as an = 3(n -1) + 1 are 1,4, 7, 10 and 13

Answers

Answer:

2x+15 =6x-45 [Alternate Angles]

or, 15+45 =6x-2x

or, 60 =4x

or 60/4 =x

or 15 = x

# x=15

What is the Length of CG

Answers

Answer: 32

Step-by-step explanation:

Since [tex]\overline{FG} \parallel \overline{AC}[/tex], we know that by the corresponding angles theorem, [tex]\angle BFG \cong \angle BAC[/tex] and [tex]\angle BGF \cong \angle BCA[/tex].

Thus, [tex]\triangle BFG \sim \triangle BAC[/tex] by AA.

It follows that since corresponding sides of similar triangles are proportional,

[tex]\frac{36+90}{90}=\frac{CG+80}{80}\\ \\\frac{126}{90}=\frac{CG+80}{80}\\\left(\frac{126}{90} \right)(80)=CG+80\\112=CG+80\\CG=\boxed{32}[/tex]

help asap please
Which of the points shown below are on the line given by the equation y = x + 4? Check all that apply
A) -1, 3
B) 2, 6
C) -2, -2
D) 2, 4

Answers

The points on the line are points B and D

How to determine the points on the line?

The equation is given as:

y = x + 4

The above means that the output value is 4 more than the input value

Using the above rule, the points that satisfy the equation are:

B) 2, 6 and D) 2, 4

This is so because:

6 = 2 + 4

4 = 2 + 2

Hence, the points on the line are points B and D

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Eleanor is working her way through school. She works two part-time jobs for a total of 24 hours a week. Job A pays $5.80 per hour, and Job B pays
$7.40 per hour. How many hours did she work at each job the week that she made $158.40.

Answers

Step-by-step explanation:

a = hours at job A

b = hours at job B

a + b = 24

a = 24 - b

5.8a + 7.4b = 158.4

note we can use the a = 24 - b identity in the second equation :

5.8×(24 - b) + 7.4b = 158.4

139.2 - 5.8b + 7.4b = 158.4

1.6b = 19.2

b = 12 hours

a = 24 - b = 24 - 12 = 12 hours

she worked 12 hours on job A and 12 hours on job B.

Question 2 Determine if (x-3) is a factor to the polynomial P(x) = 2x³ +5x²-28x - 15. (3 marks)

Answers

Answer:

(x - 3) is a factor of P(x)

Step-by-step explanation:

if (x - 3) is a factor of P(x) then P(3) = 0

P(3) = 2(3)³ + 5(3)² - 28(3) - 15

= 2(27) + 5(9) - 84 - 15

= 54 + 45 - 99

= 99 - 99

= 0

since P(3) = 0 then (x - 3) is a factor of P(x)

|2/13t-11|-10=-16
solve for t

Answers

[tex]\left|\dfrac{2}{13}t-11\right|-10=-16\\\\\left|\dfrac{2}{13}t-11\right|=-6\\\\x\in\emptyset[/tex]

The cost of a ticket to the circus is $22.00 for children and $46.00 for adults. On a certain day, attendance at the circus was 1,400 and the total gate revenue was $52,400. How many children and how many adults bought tickets?

Answers

The number of children and adults who bought the tickets at the circus was 500 and 900 respectively.

How to write and solve equation?

let

x = number of childreny = number of adults

x + y = 1400

22x + 46y = 52,400

From equation (1)

x = 1400 - y

Substitute into (2)

22(1400 - y) + 46y = 52,400

30,800 - 22y + 46y = 52,400

- 22y + 46y = 52,400 - 30,800

24y = 21,600

y = 21,600 / 24

y = 900

substitute y into

x + y = 1400

x + 900 = 1400

x = 1400 - 900

x = 500

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The number of children's ticket that was bought is 500.

The number of adult's ticket that was bought is 900.

What is the linear equation that represents the question?

a + b = 1400 equation 1

22a + 46b = 52,400 equation 2

Where:

a - number of children's ticket b = number of adult's ticketWhat is the number of adult's ticket?

Multiply equation 1 by 22

22a + 22b = 30800 equation 3

Subtract equation 3 from equation 2

21,600 = 24b

b = 21,600 / 24

b = 900

What is the number of children's ticket?

Subtract 900 from 1400

1400 - 900 = 500

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√y18

please solve this one for me with explication

Answers

Answer: [tex]y^9[/tex]

This is the same as saying y^9

===================================================

Explanation:

When we apply the square root to the expression [tex]a^{2b}[/tex], we end up with [tex]a^b[/tex]

[tex]\sqrt{a^{2b}} = a^b[/tex]

The exponent 2b divides in half to get b

Based on that rule, we can then say:

[tex]\sqrt{y^{18}} = y^{18/2} = y^9[/tex]

A motorboat travels 464 kilometers in 8 hours going upstream and 644 kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Rate of boat in still water ______km/h

Rate of current: _______ km/h

Answers

Let's say you are paddling at 5mph and the current is 3 mph. Going upstream, you are going 2 mph and downstream, 8 mph.

8(b - c) = 464

7(b + c) = 644

b - c = 58

b + c = 92

Adding the two together

2b = 150

b = 75

75 - c = 58

c = 17

The boat's speed is 75 mph and the current's speed is 17 mph.

Line segment AB with endpoints A (5, 8) and B (7, 8) is translated 2 units down and 2
units left. Identify the coordinates of the endpoints of the translated line segment?

Answers

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of objects. The coordinates of the translated line segment will be A' (3,6) and B' (5,6).

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Since AB is a line segment the changes will occur on both the coordinates, therefore, if the line segment is translated 2 units down and 2 units left, the coordinates will be,

A = (5,8) → 2 units down ⇒ (5, 8-2) → 2 units left ⇒ (5-2, 8-2) = (3, 6)

B = (7,8) → 2 units down ⇒ (7, 8-2) → 2 units left ⇒ (7-2, 8-2) = (5, 6)

Hence, the coordinates of the translated line segment will be A' (3,6) and B' (5,6).

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Review the graph of complex number z.

On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 3, 1).

What is the modulus of z?

2
2StartRoot 2 EndRoot
3
StartRoot 10 EndRoot

Answers

Answer:

√10

Step-by-step explanation:

[tex]\text {modulus of z } = =\sqrt{\left( -3\right)^{2} +\left( 1\right)^{2} } =\sqrt{9+1} =\sqrt{10}[/tex]

Answer:

square root of 10

Step-by-step explanation:

Choose two number sentences below that equal 39:
A) 71 - 32
B) 49 - 20
C) 85 - 46
D) 50 - 29

Answers

A, because 71-32 is equal to 39
C, because 85-46 is also equal to 39

Solve. Be sure to eliminate any extraneous solutions. X= square -2x+48

Answers

Answer: X = 6

Step-by-step explanation:

Substitute the x’s in the equation for the answer options that are provided.

Solutions of quadratic equation x = √(-2x + 48) are x = -8 and x = 6.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given, quadratic equation;

x = √(-2x + 48)

Squaring on both sides,

x² = -2x + 48

x² + 2x - 48 = 0

Now, we have to solve for x.

Simplifying,

x² + 8x - 6x - 48 = 0

(x + 8)(x -6) = 0

(x + 8) = 0 and (x -6) = 0

x = -8 and x = 6

After eliminating the extraneous solutions;

we have,

x = -8 and x = 6.

Therefore, the solutions are x = -8 and x = 6.

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if the volume of a cube is 27cm³ what are the dimensions of the cube

Answers

Answer:

3 cm

Step-by-step explanation:

if the volume of a cube is 27cm³ what are the dimensions of the cube

Cube Volume = l³

we use the inverse formula

∛V = l

∛27 =

3 cm

how to find the value of x and z

Answers

Answer:

z = 86 °

and, x = 2

Step-by-step explanation:

We know that a straight line is a 180 degree-angle. So, we know that

94 + z must equal 180, because they are the only two angles that make up the straight line.

from this information, (that 94 + z = 180) we can easily find z.

(this is typically an intuitive method of subtracting 94 from 180)

94 + z = 180

-94 -94

z = 86 °

-- we know that the relation between z and (10x + 74) must also be equal to 180, as they make up a straight line

if z = 86, then we can know that (10x + 74) must be equal to

(10x + 74) + 86 = 180

- 86 -86

(10x + 74) = 94

10x + 74 = 94

- 74 - 74

10 x = 20

÷ 10 ÷ 10

x = 2

so, z = 86 °

and, x = 2

(I am assuming that this "unprotected placement assessment" has already taken place, and you would like to understand a question. Or, this is a practice assessment. Because there is no point to cheating on a placement assessment--you will just skip over material you don't know. And, it wouldn't align with Brainly's honor policy. Hope you learn from this!!)

A scale model of a building is 3 inches tall. If the building is 90 feet tall, find the scale of the model.

Answers

The scale model of a building 3 inches tall if the building is 90 feet tall is 2:5

Scaling of measurement

Scaling is the way of enlarging or reducing the image of an object.

Given scale model of a building is 3 inches, if the building is 90feet tall, to write the scale;

Convert both measures to same units

Since 1 feet. = 12 in

90 feet = 90/12 in = 7.5 in

Take the ratio

3 : 7.5 = 30: 75

Reduce to lowest term

30: 75 = 2 : 5

Hence the scale model of a building 3 inches tall if the building is 90 feet tall is 2:5

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find the midpoint of the line segment between the points (11, -5) and (-3, -7)

Answers

Answer:

(4, -6)

Step-by-step explanation:

(x1+x2)/2 + (y1+y2)/2 = midpoint

(11+-3)/2 = 8/2 = 4. x = 4

(-5 + -7)/2 = -12/2. y = -6

4, -6 is the midpoint

give brainliest please! hope this helps :)

Graph the function y = 4x4 – 8x2 + 4. Which lists all of the turning points of the graph?

(0, 4)
(–1, 0) and (1, 0)
(–1, 0), (0, 4), and (1, 0)
(–4, 0), (–1, 0), (0, 4), and (1, 0)

Answers

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

If we plot the function, y = 4x⁴ - 8x² + 4, then it can be observed that the lists all of the turning points of the graphs are (–1, 0), (0, 4), and (1, 0).

Hence, the correct option is C.

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Help me plsss helpppppppppp

Answers

Step-by-step explanation:

this is very easy u can do urself

What value correctly fills in the blank so that the expressions are equivalent?
18+45 = x (2+5)
A 2
B O3
C 07
D 9

Answers

Answer:

D, x = 9

Step-by-step explanation:

[tex]x\left(2+5\right)=63[/tex]

=> divide both side by 7

[tex]\frac{x\left(2+5\right)}{7}=\frac{63}{7}[/tex]

x=9

Answer:

D) 9

Step-by-step explanation:

Given :

⇒ 18 + 45 = x (2 + 5)

=============================================================

Simplify both sides :

⇒ 18 + 45 = x (2 + 5)

⇒ 63 = 7x

⇒ 7x = 63

=============================================================

Divide both sides by 7 :

⇒ 7x/7 = 63/7

⇒ x = 9

The box plots show the average wind speeds, in miles per hour, for two different islands.
Average Wind Speeds on Island A
H
++
2 3 4 5 6 7 8 9 10 11
Average Wind Speeds on Island B
Which explains, on a given day, which island is more likely to have a wind speed close to its median

Answers

the answer would be 240 because wind speed is close to its median

A rain drop hitting a lake makes a circular ripple.. if the radius, in inches,, grows as a function of time in minutes according to R(t)=20sqrt(t+2), find the area of the ripple as a function of time. What is the area of the circular ripple at t=2?

Answers

Answer:

Step-by-step explanation:

Area A(t) = πR² = π x 400 (t + 2) = 400π (t + 2)

A(2) = 400π (2 + 2) = 1600π = 5026.5 in²

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Find f(3) if f(x)=x^3+2x^2-x-1

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Find f(3) if
f(x)=x^3+2x^2-x-1