Evaluate g(x) = 0.023x^3 + 0.4x^2 − 2.1x + 8.3 for x = 2 and x = 4.

Answers

Answer 1
g(x) = 0.023x³ + 0.4x² - 2.1x + 8.3

for x = 2
g(2) = 0.023(2)³ + 0.4(2)² - 2.1(2) + 8.3
       = 0.184 + 1.6 - 4.2 + 8.3
       = 5.884

for x = 4
g(4) = 0.023(4)³ + 0.4(4)² - 2.1(4) + 8.3
       = 1.472 + 6.4 - 8.4 + 8.3
       = 7.772


Related Questions

The length of a rectangle is 4 cm longer than the width. if the perimeter of the rectangle is 20 centimeters, what is the area of the rectangle?

Answers

P=2(w)+2(l)

length=x+4
width=x

2(x)+2(x+4)=20
use the distributive property

2x+2x+8=20
combine like terms

4x+8=20
subtract 8 from both sides

4x=12
divide both sides by 4 to isolate x

x=3

Length=x+4=3+4= 7
Width= 3

A rectangle is 25 inches long and 13 inches wide. What is the area of the rectangle?

Answers

Length x width = area of a rectangle

Therefore,

25 x 13 = 325

The answer is 325 inches squared.

Hope this helps! Good luck! :D

Answer:

GUYS HE MEANT 2/5 AND 1/3

Step-by-step explanation:

THE REAL ANSWER IS 2/15

Area of rectangle is given by:

where

A is the area of rectangle

l is the length of the rectangle

w is the width of the rectangle

As per the statement:

a rectangle is 2/5 inches long and 1/3 in wide

and  inches

then using area formula we have;

Simplify:

inches square.

Therefore, the area of rectangle is  square inches.

factor the equation.

Answers

x² - 11x + 18

find factors of x² and 18 that will give you -11x

x² - 11x + 18
x               -9
x               -2

(x - 9)(x -2) is your answer

if you are finding the x, place each parenthesis equal to zero

x - 9 = 0
x - 9 (+9) = 0 (+9)
x = 9

x - 2 = 0
x - 2 (+2) = 0 (+2)
x = 2

x = 2, 9


hope this helps

–13.5a + 34.12b + 65.5a – 32.5b – 35.8a

A.
32.5a + 20.47b
B.
16.2a + 1.62b
C.
–18.7a – 26b
D.
1.62a + 16.2b

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

The Answer is not C

Step-by-step explanation:

if you simplify your problem, it should not come out as C. if so, you did it wrong.

Please help! what is y+7=-1/7(x+4) in slope intercept form?

Answers

we know that
the equation of a line in slope intercept form is--------------> y=mx+b
where
m-----------> is the slope
b-----------> is the y-intercept  point when x=0

y+7=-1/7(x+4)---------> y+7=(-1/7)x-4/7
y+7=(-1/7)x-4/7------> y=(-1/7)x-4/7-7------> y=(-1/7)x-(53/7)

the answer is
y=(-1/7)x-(53/7)-------------> this is the equation of a line in slope intercept form
m=(-1/7)=-0.14
b=(-53/7)=-7.57
y=-0.14x-7.57

see the attached figure

Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store. The following week, she paid $18.99 for a 4.96-pound bag at another store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:  1st answer is 3.88 lastly the 2nd is 3.83

Step-by-step explanation:

The bag with price $18.99 for a 4.96-pound bag is best to buy.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store.

So, Jessica paid for one pound of shrimp = 13.24/ 3.41

                                                                     = $3.88

                                                                      = $3.9      

and, he paid $18.99 for a 4.96-pound bag at another store.

So, she paid for one pound = 18.99/4.96

                                              = $3.8286

                                              = $3.8

Hence, the bag with price $18.99 for a 4.96-pound bag is best to buy.

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What is an equation of a line that is perpendiculauation is 2y=3x-10 and passes through -6,1?

Answers

There's a bit of a neat trick for doing these. You swap the x- and y-coefficients and negate one of them. You use the methods of translating functions to translate the answer to the point of interest. For example, you use (x -h) and (y -k) in place of (x, y) when you want the line to go through (h, k).

3(y -1) = -2(x +6)

Francis have 5 more dollars than Julia together they have at most $45 let X represent the amount of money francis has. Which inequality can be used to find the possible amounts of money that francis has?

Answers

x=francis  y=julia

the answer is francis has $27.5 and julia has $17.5 you find this by 45 and dividing it by 2 then get on half and add 5 and with the other half subtract five

helpppppppppppppppppppppppppp

Answers

Answer:
The last choice is the correct one

Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)

For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)

Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)

Hope this helps :)

The math test scores of Mrs. Hunter's class are shown below.48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100 What is the range of the scores?

Answers

the range would be the difference between the highest and the lowest score

Highest = 100

lowest = 48

range = 100 - 48 = 52
the answer is 52. You get the range by taking the greatest and the least number and subtract

A survey determined that 7/18 of the seventh grade students at Mills Middle School preferred round chocolate candies to hard candy. When Jennifer duplicated the survey, 1/9 of the students changed their preference from chocolate candy to hard candy.

What fraction of the students in the second survey preferred round chocolate candy?

A. 8/27
B. 7/162
C. 5/ 18
D. 1/2

Answers

Answer:

The correct answer is C) 5/18

Step-by-step explanation:

In order to find this answer, you need to take the fraction that answered it on the first try and subtract the number that changed their mind.

7/18 - 1/9

In order to complete this operation, you need to give them common denominators.

7/18 - 2/18 = 5/18


What is the length of the side of a cube that has a surface area of 864 in2
A.11in
B.12in
C.13in
D.14in

Answers

Let
b-----------> length of the side of cube

we know that

the area surface of cube=6*b²
A=6*b²=864 in²----------------> b=√(864/6)=12 in

the answer is b=12 in

If the typical balance on Lucy's credit card is $650 and the interest rate (APR) on her credit card is 18%, how much in interest would you expect Lucy to be charged in a typical month?

Answers

(18%\12)x650=9.75 18 divide by 12 times 650

General Idea:

[tex] Amount \; Charged \; in \; a \; Month \; = \; Monthly \; Interest \; Rate \; \times Typical \; Creditcard\; Balance\\ \\ [/tex]

[tex] Amount \; Charged \; in\; a\; month =\frac{18\%}{12} \times 650 \; = 0.015\times650=9.75 [/tex]

Conclusion:

Amount of interest that Lucy to be charged in a typical month is $9.75

Which pair of measurements is not equivalent?
450 mm, 4.5 m
250 cm, 2.5 m
4 km, 4,000 m
1.2 cm, 12 mm

Answers

450 mm doesn't equal 4.5 m.

450 mm = 45 cm
45 cm = 0.45 m
0.45 doesn't equal 4.5

Hope this helps!

Final answer:

The pair of measurements that is not equivalent is 450 mm and 4.5 m.

Explanation:

When comparing pairs of measurements, it's important to convert them to the same unit before making a comparison. Let's examine the pairs to determine which one is not equivalent:

450 mm is convertible to meters by dividing by 1000, as there are 1000 millimeters in a meter, giving us 0.45 m. This is not equal to 4.5 m.250 cm is convertible to meters by dividing by 100, since there are 100 centimeters in a meter, resulting in 2.5 m. Hence, 250 cm and 2.5 m are equivalent.4 km converts to meters by multiplying by 1000, as there are 1000 meters in a kilometer, resulting in 4000 m. Therefore, 4 km and 4000 m are equivalent.1.2 cm is convertible to millimeters by multiplying by 10, as there are 10 millimeters in a centimeter, giving us 12 mm. So, 1.2 cm and 12 mm are equivalent.

The non-equivalent pair is 450 mm and 4.5 m. All other pairs are equivalent after conversion.

Tabitha is trying to find the equation of a line perpendicular to y = 1 over 2 x − 5 in slope-intercept form that passes through the point (2, −7). Which of the following equations will she use?

Answers

Answer:

[tex]y=-2x-3[/tex]

Step-by-step explanation:

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

[tex]m1*m2=-1[/tex]

Step 1

Find the slope of the given line

we have

[tex]y=\frac{1}{2}x-5[/tex]

the slope of the given line is equal to

[tex]m1=\frac{1}{2}[/tex]

Step 2

Find the slope of the line perpendicular to the given line

[tex]\frac{1}{2}*m2=-1[/tex]

[tex]m2=-2[/tex]

Step 3

Find the equation of the line into slope intercept form

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

we have

[tex]m=-2[/tex]

[tex]point(2,-7)[/tex]

substitute and solve for b

[tex]-7=-2*(2)+b[/tex]

[tex]-7=-4+b[/tex]

[tex]b=-7+4=-3[/tex]

The equation of the line is equal to

[tex]y=-2x-3[/tex]


36 years old. His son is 8 years old. In how many years will Bruce be three times as old as his son?

Answers

Let the "number of years" be "x":

---
Equation:



36+x = 3(8+x)



36+x = 24+3x



2x = 12



x = 6 years

According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?

Answers

It is c. b is wrong.

Industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing.

What is data?

In computing, data is information that has been translated into a form that is efficient for movement or processing.

Given that, a graph titled top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010.

Here,

Health services, 57;

Personnel supply services, 49;

Warehousing and storage, 45;

Water and sanitation, 45;

Computer and data processing, 86;

Management and public relations, 42;

Cable television services, 51;

Residential care, 64;

Business services, 43;

Equipment rental and leasing, 42.

So, according to the given data the highest record is given by computer and data processing.

Therefore, industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing.

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"Your question is incomplete, probably the complete question/missing part is:"

A graph titled Top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010 showing percent change for the following: health services, 57; personnel supply services, 49; warehousing and storage, 45; water and sanitation, 45; computer and data processing, 86; management and public relations, 42; cable television services, 51; residential care, 64; business services, 43; equipment rental and leasing, 42.

According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?

A. Equipment rental and leasing

B. Residential care

C. Computer and data processing

D. None of these

A reporter for the local news station wants to know how the citizens of the area feel about the current gas prices. The reporter decides to gather this information by conducting a survey at the local golf course.

Part A

Determine if the chosen sample is random or not random for the population and give and explanation why.

Part B

Come up with two different ways a random sample could be collected for this population.

Answers

The reporter wants to get a random (or representative) sample of the citizens in the area. That means that he wants the people he selects to reflect those that live in the area. If half the people in the area are men, then we expect more or less half of those he asks to be men, for example.

PART A
While it is not entirely clear if the members of the golf club are representative of those in the area (one might be in an area where most folks golf), it is probably unlikely. Most people do not golf and (I am being very stereotypical here) most golfers are men. So the people he asks might be more likely to be men than those in the area, as an example.

PART B
To get a random sample, the reporter could instead knock on the door of 3 houses on every block in the area and ask the inhabitants of these houses about the gas prices. We, of course, don't know how big the area is or how feasible it is to knock on 3 doors per block, but here we are likely to get a random sample.

Another method could be to take a list of residents from the area and contact every 5th name on the list. In this way the people selected are random and more likely to be representative of those in the area.

Is this tangent to the circle?

Answers

Hello,

Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°
if you are asking about AB, Then in order to be a tangent to the circle the m(A) should be equal to 90 degrees. So we have to test it, if measure of angle "A" is 90 or not. Since the 3 sides lengths were given, I guess they want you to use Pythagorean theorem which says the following:
[tex] hyp^{2}= adj^{2}+opposite^{2}[/tex]
hypotenuse in here is the 16 unit length side, the adjacent is AB and  the opposite is the diameter with length of 6.4  unit length.
if [tex] 16^{2} = 6.4^{2}+9.6^{2}[/tex] then m(A)= 90 degrees and it will be a tangent.
[tex]16^{2}=256[/tex]
[tex]6.4^{2} + 9.6^{2}=40.96+92.16=133.12 [/tex] 
so the theorem is not applicable in this situation so the [tex]m(A) \neq 90 degrees[/tex]
therefore AB is not a tangent

Mister Stein is pushin 2.25 lb of meat that cost $2.80 per pound how much change should Mr Stein receive if he gives the cashier 20.00$

Answers

13.7 dollars in change

Answer:

13.7 and dang dude is really pushin big P

Step-by-step explanation:

A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units. What is the value of x? Enter your answer in the box.

Answers

we know that
the garden's perimeter is 112 =[(x+4)+(x+4)+(x+4)+(x+4)]  

112=4*[x+4]------------ > 112/4=x+4
x=(112/4)-4=28-4=24 units

the answer is x=24 units

Answer: x=24 :)

Step-by-step explanation:

Which expression is not equivalent to 3x – 2?

A. x + x – 1 – 1 + x
B. 2x + 2 + x
C. 3 – x + 2x – 5 + 2x
D. 4x – 4 – x + 2

Answers

The expression which is not equivalent to the given expression is 2x + 2 + x. Hence, option B is correct.

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given information in the question,

The given expression is,

3x - 2

Now, one by one check with given options,

A. x + x - 1 - 1 + x = 3x - 2, So, it is correct.

B. 2x + 2 + x = 3x + 2, So, it is incorrect.

C. 3 - x + 2x - 5 + 2x = 3x + 2, So, it is correct

D. 4x - 4 - x + 2 = 3x + 2, So, it is correct.

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b

just got it right on edge

What are the domain and range of the function f(x)=1/4(x^3+6x^2+5x-4)

Answers

Answer:

Domain and Range of f(x) is all real numbers i.e [tex](-\infty, \infty)[/tex]

Option 4 is correct.

Step-by-step explanation:

Given the function

[tex]f(x)=\frac{1}{4}(x^3+6x^2+5x-4) [/tex]

we have to find domain and range of the above function.

The domain of a function is the complete set of possible values of the independent variable i.e of x. The denominator function can't be equals to 0 when taking the values of x.  

[tex]f(x)=\frac{1}{4}(x^3+6x^2+5x-4) [/tex]

Here the function defines at each and every value of x therefore

Domain of f(x) is all real numbers i.e [tex](-\infty, \infty)[/tex]

The range of a function is the complete set of all resulting values of the dependent variable i.e of y, after substituting the values of the domain.

Range of f(x) is all real numbers i.e [tex](-\infty, \infty)[/tex]

Option 4 is correct.

Answer:

d all infinities

Step-by-step explanation:

Car = V-8 sedan
Years driven = first and second
Miles driven = 15,000 miles the first year and 12,000 the second
In dollars and cents, the total projected gas and oil cost for two years would be $

Answers

Car = V-8 sedan 
Years driven = first and second 
Miles driven = 15,000 miles the first year and 12,000 the second 

In dollars and cents, the total projected gas and oil cost for two years would be $
(15,000*.028)=420.00
(336.00*.028)=336.00
420.00+336.00=756.00


Answer:

In dollars and cents, the total projected cost of gas and oil for two years would be $ 756.00

Step-by-step explanation:

Hello! Let's solve this!

First we will calculate per year how much is spent.

First year:

15000 * 0.028 = 420.00

Second year:

12000 * 0.028 = 336.00

The total cost in the two years is the sum of both:

420.00 + 336.00 = 756.00

In dollars and cents, the total projected cost of gas and oil for two years would be $ 756.00

The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).

C(t) = $18.50 1 <_t < 12
$16.00 12<_t < 20
$14.50 20<_t

What is the total cost for 20 tickets?
A.)$14.50
B.)$16.00
C.)$290.00
D.)$320.00

Answers

The total cost for 20 tickets:
20 · 14.50 = $290.00
Answer: C ) $290.00

Answer:

C. $290

Step-by-step explanation:

We see that,

The cost of the single ticket is given by,

[tex]C(t) =\left\{\begin{matrix} 18.50, &1\leq t\leq 12 \\ 16.00, & 12\leq t\leq 20\\ 14.50, & 20\leq t\end{matrix}\right.[/tex],

where t = number of tickets.

As, we have,

When t = 20, the value of C(t) is $14.50.

That is, the cost of 20 tickets = 20 × 14.50 = $290.

Thus, the total cost of 20 tickets is $290.

write fifty-seven and one hundred forty-two thousandths in standard form.

Answers

57,142 because it says standard

Fifty-seven and one hundred forty-two thousandths in standard form is 57.142, which is the conventionally written numeric form without placeholder zeroes.

The number fifty-seven and one hundred forty-two thousandths in standard form is written as 57.142. The standard form of writing numbers is also known as conventional notation, which means writing out the number as it is normally seen and used. To convert a number into standard form, you place the decimal point after the last non-zero digit and write out the number without any placeholder zeroes.

please help with another math question

Answers

Given system of equations:
2y=4x+20 Eq 1
4y=6x+24 Eq 2
Divide both sides of equation 1 by 2.
y=2x+10
Substitute value of y in equation 2.
4(2x+10)=6x+24
8x+40=6x+24
2x+40=24
2x=-16
x=-8
Put value of x in y=2x+10
y=2(-8) + 10
y=-16+10
y=-6

Answer : (-8,-6)

Which of the following terminating decimals is equivalent to -1 3/4
?

Answers

It would be - 1.75. Hope it helps! :)

Answer:

→ The decimal expansion of rational number is either terminating or non terminating repeating.

→If the denominator of rational number is of the form [tex]2^a \text{or} 5^b \text{or} 2^a \times 5^b [/tex] , then the decimal terminates.

   [tex]\rightarrow -1 \frac{3}{4}=\frac{-7}{4}\\\\=-1.75[/tex]

Alina has one-quarter of a dollar for parking money. Which amount is equivalent to her parking money?

Answers

This answer would be .25, otherwise known as 25 cents

Match the reasons with the statements in the proof.
Given: a | | b, m 2 = m 3
Prove: m 1 = m 3
1. a||b, m∠2 = m∠3
Given
2. m∠1 = m∠2
Substitution
3. m∠1 = m∠3
If lines are ||, corresponding angles are equal.

Answers

Given: a | | b, m 2 = m 3
Prove: m 1 = m 3

1. a || b, m∠2 = m∠3
Given

2. m∠1 = m∠2
If lines are ||, corresponding angles are equal.

3. m∠1 = m∠3
Substitution

The correct matching of the statement and reasons in the proof given goes thus:

a | | b - - - - - - - - - - GIVEN

m∠1 = m∠2 - - - - corresponding angles are equal

m∠1 = m∠2 - - - - - Substitution

The first reason stated when starting a proof is 'GIVEN' as it has been stated in the question a | | b and m 1 = m 3

From the diagram, the traversal cuts the two parallel lines, creating a corresponding angle at m∠1 and m∠2

Since, we've been told that m1 = m3 in the initial statement, we assign the value of the angle m∠1 to m∠3 (substitution)

Hence, the proof.

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According to freud, two instincts furnish the energy for personality functioning. these instincts are helpppppppppppppppppppppppppppppp Let x = price of a standard ticket, y = price of a matinee ticket, and z = price of a senior ticket. 150x + 80y + 12z = 2,466 380x + 95y + 48z = 5,419 210x + 130y + 60z = 3,960 220x + 225y = 4,445 540x + 270y = 8,370 y = 2x + 31 x = 11 Finish solving the system using. What are y and z? Why aren't organisms on the seafloor crushed by water pressure? a human usually has 20 baby teeth, which are replaced by 32 adult teeth. Raul lost 8 of his baby teeth . Raul said he lost 4/10 of his baby teeth. Ana said Rual lost 2/5 of his teeth. which of these conjectures are true? Construct an argument to justify your your answer A division problem is shown below. 4 1/3 divided by 5 1/6The reciprocal of a fraction must be found to solve the problem. What is the reciprocal fraction that should be used? Use the / symbol to write your fraction. Write the net ionic equation (including phases) that corresponds to fe(clo4)2 It was one by the village clock,When he galloped into Lexington.Which word is a verb that shows the action in this excerpt?gallopedbyintowhen A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w+4, and the height of the bag is 18-w (which is greater than the width). What are the dimensions of the bag? Read the excerpt below and answer the question.{"What happened to 'Dee'?" I wanted to know."She's dead," Wangero said. "I couldn't bear it any longer, being named after the people who oppress me."}What is symbolized in Wangeros rejection of her given name?A: The freedom to choose her own destiny.B: Her loyalty to her new boyfriend.C: Her desire to appear more educated than her family.D: A desire to disassociate herself from her upbringing. please help !!!from The Canterbury Tale, "The Wife of Baths Tale"14. Based on the character of the Wife of Bath and her tale, what do you think was Chaucers perspective on the state of women and their condition? Women were smart and worthy of the same authority as men.Women needed to set an example of piousness for men.Women were angelic creatures who could not harbor lust or vice.Women were too often victims of abuses by their husbands. Cause and effect what effect did the Texans defense of the Alamo have on Texas fight for independence List one advantage and one disadvantage of the family unit in jonas's community as compared to the family as we know it in our society. Give the correct balanced equation for the single replacement reaction of magnesium with aluminum oxide. A)Mg + AlO MgO + Al B)Mg + Al2O3 MgO + Al C)3Mg + Al2O3 3MgO + 2Al D)Mg + Al2O3 MgO3 + Al2 Select the sentence with the best positive emphasis.a. we will complete the process audit by friday.b. because of joan's inaccurate figures on the haymen project, we have not finished the process audit.c. we failed to complete the process audit on time.d. we haven't completed the process audit.e. the process audit was delayed due to operational reasons. What occurs over time as a result of inflation? Check all that apply. Which of the following cultural elements would you cite as evidence of Chinese influence in Korea? Select all that apply. military hierarchy woodblock printing feudal society development of Shinto written language civil serviceselect 3 Which of Indias regions is the most highly populated The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n. Sia sells large candles for $3 each and small candles for $2 each. She sold 17 candles for $46.00. How many of each size candle did she sell?