Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two
different proportional relationships represented in different ways.

Will give points to first correct answer that follows all the steps right.

Answers

Answer 1

Answer:

I Need Help On That Too

Step-by-step explanation:


Related Questions

I need help like asap !!!

only numbers and decimal points ​

Answers

Answer:

34 inches

Step-by-step explanation:

[tex]c = \sqrt{ {16}^{2} + {30}^{2} } [/tex]

[tex]c = \sqrt{256 + 900} [/tex]

[tex]c = \sqrt{1156} = 34[/tex]

Answer:

34 inches...................

Ramundo is shopping for a new pair of rollerblades. Roller World sells a pair of rollerblades for $94 regular price. Currently, the rollerblades are on sale for 15% off. Outdoor Adventures sells the same pair of rollerblades for $81.50 with no discount. The sales tax rate in Ramundo's city is 6%.



Part A



To get the better deal, Ramundo should buy the rollerblades from , 1 of 2.
Select Choice
.



Part B



In doing so, he will save , 2 of 2.
Select Choice
(after tax) over the other store.

Answers

Ramundo will get a better deal at Roller worlds.

This is a question of percentages.

Given that:-

Regular price of rollerblades at roller world = $ 94

Discount at rollerworld = 15 %

Price of rollerblades at Outdoor adventures = $ 81.50

Sales tax = 6 %

Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9

Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694

Price of rollerblades at outdoor adventures = $81.50

Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39

As,

$ 84.694 <  $ 87.39

Ramundo will get a better deal at Roller worlds.

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Y = 5x -12 make x subject of formula

Answers

Answer:

(y+12)/5=x

Step-by-step explanation:

y=5x-12

get x by itself

y+12=5x

divide both sides by 5

(y+12)/5=x

okay so Y = 5x - 12
move the -12 to the other side it becomes +
12+ Y = 5x
then minus Y on both sides so the Y cancels Y and 5x- Y is i’m not sure but u guess it cancels so
12=5x then you divide the 5
2.4=x

2. Identify the proportional relationship.
7x-2=y y + 1 = 3x y = 5x y=2x +4 ​

Answers

Answer is y=5x

Reason - If b = 0 (no y intercept) y = mx, then the equation is a proportional linear relationship between y and x. This equation will pass through the origin (0, 0)

A dolphin was swimming at 20 feet below sea level. Then it dove to 45 feet below its original position. Write an expression that represents the change in depth of the dolphin's dive.

Answers

The expression that represents the change in depth is |-45 + 20|

How to determine the change in depth expression?

From the question, the endpoints are given as

Initial point = 20 feet below the sea level

Final point = 45 feet below the sea level

Rewrite the endpoints properly

This is done as follows

Initial point = -20

Final point = -45

The distance expression between the endpoints is then calculated as

Distance = |Final point - Initial point|

Substitute the known values in the above equation

So, we have the following equation

Distance = |-45 + 20|

Hence, the distance expression is |-45 + 20|

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engineers must consider the diameters of heads when designing helmets. the company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in. due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 1.4% or largest 1.4%. what is the minimum head diameter that will fit the clientele? min

Answers

The largest head diameter that can accommodate the clientele is 8.5743

Mean, u = 6.4

Standard deviation = 0.9

We must utilize the inverse of the common normal table to obtain our values.

the smallest head width possible.

P(Z < z) = 1.4%

P(Z < z) = 0.014

P(Z < -2.0749) = 0.014

z = -2.0749

Using the z-score calculation,

(x - μ) ÷ σ = [tex]Z_{0.019}[/tex]

Let x be the heads' breath.

Making x the focus of the equation,

x = z × σ + μ

We already have:

z = -2.0749

u = 6.5

s.d = 1

Replacing numbers,

x = (-2.0749 × 1) + 6.5

x = 4.4251

The clientele requires a minimum head breadth of 4.4251.

The largest head width that can be accommodated.

P(Z > z) = 1.4%

1 - P(Z < z) = 0.014

P(Z < z) = 1 - 0.014 = 0.981

P(Z < 2.0749) = 0.981

Using the z-score calculation,

(x - μ) ÷ σ = [tex]Z_{0.019}[/tex]

Let x be the heads' breath.

Making x the focus of the equation,

x = z × σ + μ

z = 2.0749

u = 6.5

s.d = 1

Substituting figures,

x = (2.0749 × 1) + 6.5

x = 4.4251

x = 8.5743

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PLEASE HELP ASAP express

Answers

Answer: 5+3*3(3)-2= 30

Step-by-step explanation: Replacing x with 2 and using PEMDAS

Need Help With Explaining and ASAP please! And check if I’m correct!

Answers

Answer:

yhj

Step-by-step explanation:

all in the text bag with you high bag GM DJ tee SB hy DJ DJ TV DJ DJ DJ DJ CB jus DJ tty 464+7557+56(6)=7

At a certain time, Janice notices that her digital watch reads a minutes after two o'clock. Fifteen minutes later, it reads b minutes after three o'clock. She is amused to note that a is six times b. What time was it when she looked at her watch for the second time?

Answers

Answer:

2 : 45

Step-by-step explanation:

Please helppp!


1 :What is the solution to the equation?

−4=x9

2 :Solve for t.

−32=4t



Responses

t=−8
t equals negative 8

A:T = -8
B:T = - 1/8
C:T= 28
D:T=36

3 : What is the solution to the equation?

x−18=−72

4 ;What is the solution to the equation?

−18=x−15

Enter your answer in the box.

5 :What is the solution to the equation?

−24x=−4

Enter your answer as a simplified

Answers

The value of the variables in the equation are as follows:

1. x = -4 / 9

2. t = -8

3. x = -54

4. x = -3

5. x = 1 / 6

How to solve an equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's find the solution of the equations. The solution of the equation is the value of the variable x. A variable is a number represented by a letter in an equation.

Therefore,

1.

-4  = 9x

divide both sides of the equation by 9

x = - 4 / 9

2.

−32=4t

divide both sides of the equation by 4

t = - 32 / 4

t = - 8

3.

x − 18 = −72

add 18 to both sides of the equation

x - 18 + 18 = -72 + 18

x = -54

4.

−18 = x − 15

add 15 to both sides of the equation

-18 + 15 = x - 15 + 15

-3 = x

x = -3

5.

−24x = −4

divide both sides of the equation by - 24

x = - 4 / -24

x = 1 / 6

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Circle 10cm find the diameter of the circle

Answers

Answer:

Diameter = 3.1831 cm  (aprox)

Step-by-step explanation:

Diameter = circle / π

π ≈ 3.1414

Then:

Diameter = 10 / 3.1418

Diameter = 3.1831 cm

The rate of change of f(x)=2(2)x is ____________________ the rate of change of the function in the graph:

Answers

The rate of change of the exponential function f(x) = 2(2)ˣ is 2

What is an equation?

An equation shows the relationship between two or more numbers and variables.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the rate of change.

Given the function:

f(x) = 2(2)ˣ

Hence rate of change = 2

The rate of change is 2

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In class, everyone took a handful of m&ms, so people had a mean of
37 with a standard deviation of 7. Ms G hands everyone 10 more
m&ms. What is the new mean?

Answers

Answer: the answer is 27 mg

Container A has 600 mL of water and is being filled at a rate of 12 mL per minute. Container B has 1500 mL of water and is being drained at 12 mL per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

Answers

Answer:

It will take 37.5 minutes for both containers to reach the same amount of water which is 1050 mL

Step-by-step explanation:

1500 - (12 × 37.5) = 1050

600 + (12 × 37.5) = 1050

(b) Expand and simplify.
(2x - 5) (x - 3)

help me pls

Answers

[tex] = 2x(x - 3) - 5(x - 3) \\ = 2 {x}^{2} - 6x - 5x + 15 \\ = 2 {x}^{2} - 11x + 15 [/tex]

ATTACHED IS THE SOLUTION

Use either long division or synthetic division to solve:

(2i^4 +-6i³+-25i² +31i+-30)/(i +-5)

Answers

Answer:

[tex]\textsf{Quotient}: \quad 2i^3+4i^2-5i+6[/tex]

[tex]\textsf{Simplified Quotient}: \quad 2-7i[/tex]

Step-by-step explanation:

Long division method

Divide the first term of the dividend by the first term of the divisor, and put that in the answer.Multiply the divisor by that answer, put that below the dividend.Subtract to create a new dividend.Repeat.

Given rational expression:

[tex]\dfrac{2i^4-6i^3-25i^2 +31i-30}{i -5}[/tex]

Solve using long division:

[tex]\large \begin{array}{r}2i^3+4i^2-5i+6\phantom{)}\\i-5{\overline{\smash{\big)}\,2i^4-6i^3-25i^2 +31i-30\phantom{)}}}\\{-~\phantom{(}\underline{(2i^4-10i^3)\phantom{-b00000000000.)}}\\4i^3-25i^2+31i-30\phantom{)}\\-~\phantom{()}\underline{(4i^3-20i^2)\phantom{))))))))))))}}\\-5i^2+31i-30\phantom{)}\\-~\phantom{()}\underline{(-5i^2+25i)\phantom{........}}\\6i-30\phantom{)}\\-~\phantom{()}\underline{(6i-30)\phantom{}}\\0\phantom{)}\end{array}[/tex]

Therefore, the quotient is:

[tex]2i^3+4i^2-5i+6[/tex]

Imaginary number rule

[tex]i^2=-1[/tex]

Simplify the quotient:

[tex]\implies 2i^3+4i^2-5i+6[/tex]

[tex]\implies 2i^3+4(-1)-5i+6[/tex]

[tex]\implies 2i^3-4-5i+6[/tex]

[tex]\implies 2i^3-5i-4+6[/tex]

[tex]\implies i(2i^2-5)+2[/tex]

[tex]\implies i(2(-1)-5)+2[/tex]

[tex]\implies-7i+2[/tex]

[tex]\implies 2-7i[/tex]

Henry Bonnacio deposited 1,000 in a new savings account at First National Bank. He made no other deposits or withdrawls. After 6 months the interset was computed at an annual rate of 6 1/2%. How much simple interst did his money earn.

Answers

* For an annual rate of 6.5% this means that the interest earned in 6 months is just half of that, or 3.25%
* Applying this to the principle of 1000 we calculate:
* 1000 * 0.0325 = 32.50.

the normal model n(58, 21) describes the distribution of weights of chicken eggs in grams. suppose that the weight of a randomly selected chicken egg has a z-score of 1.78. what is the weight of this egg in grams? round to the nearest hundredth of a gram.

Answers

The weight of the eggs in grams 95.38 grams.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X ~ N(58,21)

where µ = 58 and σ = 21

The z score for this case is given by this formula:

z = x -  µ/σ

We know that the value of z = 1.78 and we want to estimate the value of X. If we solve for X from the z formula we got:

X =  µ+1.78σ

= 58 + 1.78×21

= 95.38

So, the corresponding weight for a z score of 1.78 is 95.38 grams.

Hence we get the required answer.

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Translate the following equation into a verbal sentence x/4 - y = -2(x/y)

Answers

The given equation x/4 - y = -2(x/y) can be expressed in a verbal sentence as the difference between the fourth fraction of x and y is equal to minus of twice the fraction of x and y.

How to express the mathematical equation in the form of a verbal sentence?    

To express the mathematical equation in the form of a verbal sentence, we have to express the operations by using sentences.

Let's take an example,

                   x + y = 4.

Then the verbal form will be the sum of two numbers is 4.

Hence, the given expression can be expressed as the difference between the fourth fraction of x and y is equal to minus of twice the fraction of x and y.

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Isabel and Khalil buy peaches and apricots. At the fruit stand, peaches cost $0.85 each, and apricots cost $0.55 each. Tax is included in the cost of each fruit. The friends have $5 to spend. Which is a possible combination of the number of peaches and apricots they can get for $5? Responses 1 peach, 8 apricots 1 peach, 8 apricots 2 peaches, 5 apricots 2 peaches, 5 apricots 3 peaches, 7 apricots 3 peaches, 7 apricots 4 peaches, 3 apricots 4 peaches, 3 apricots

Answers

The possible combination of the number of peaches and apricots they can get for $5 is 2 peaches and 5 apricots.

What is the possible combination?

The equation that represents the total cost of peaches and apricots is:

Total cost = (number of peaches x cost of one peach) + (number of apricots x number of apricots)

$5 = ($0.85 x p) + ($0.55 x a)

Total cost of buying 1 peach and 8 apricots:

($0.85 x 1) + ($0.55 x 8) = $5.25

Total cost of buying 2 peaches and 5 apricots:

($0.85 x 2) + ($0.55 x 5) = $4.45

Total cost of buying 3 peaches and 7 apricots:

($0.85 x 3) + ($0.55 x 7) = $6.40

Total cost of buying 4 peaches and 3 apricots:

($0.85 x 4) + ($0.55 x 3) = $5.05

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Amy’s restaurant has budgeted at most $60 to spend this month on gourmet coffee. All international blends cost
$8.50 per package and all house blends cost $6.00 per package. She would like to purchase some international
blends and at least 3 packages of the house blends. Write a system of linear inequalities that describes this
situation. Graph the system. Give a possible solution and describe what it means

Answers

Answer:


8.50x + 6.00y < 60 and y > 3.

Please consider the complete question.

Amy's restaurant has a budget of at most $60 to spend this month on gourmet coffee. All international blends cost $8.50 per package and all house blends cost $6.00 per package. She would like to purchase some global combinations and at least 3 boxes of the house blends. Write a system of linear inequalities that describes this situation.

Let x represent the number of international blends and y represent the number of house blends.

The cost of x international blends would be and the cost of y house blends would be.

Since Amy's restaurant has a budget of at most $60 to spend this month on gourmet coffee, so the cost of x international blends and y house blends should be less than or equal to 60.

We can represent this information in an inequality as:

Since Amelia wants to purchase at least 3 packages of the house blends, so y should be greater than or equal to 3. We can represent this information in an inequality as:

Therefore, our required system of inequalities would be 8.50x + 6.00y < 60 and y > 3.

Step-by-step explanation:

[tex]\frac{2}{5} a^{\frac{2}{2} } + C[/tex]

Answers

By simplifying 2/5  + [tex]a^{2/2}[/tex] C we get the solution as (2a + 5C) / 5.

What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.Start by resolving all of the terms enclosed in parenthesis to simplify mathematical equations using the order of operations. The exponents should then be solved, followed by any necessary multiplication. Division problems are next, followed by adding and subtracting to wrap things out.

Given equation ,

2/5  + [tex]a^{2/2}[/tex] C

We know that ,  [tex]a^{2/2}[/tex]  = a

So the equation becomes ,

2/5 a + C

By simplifying,

2a / 5 + C

= 2a / 5 + 5C / 5

By combining fractions ,

(2a + 5C) / 5

Thus solution is (2a + 5C) / 5 .

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18^7 * 20^7 divided by 25^3 * 2^21 *27^4

Answers

Answer:

[tex]=45[/tex]

Step-by-step explanation:

1 ) Simplify

[tex]\frac{(18^7)(20^7)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{612220032(20^7)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{(612220032)(1280000000)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{15625(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(15625)(2097152)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{32768000000(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(32768000000)(531441)}[/tex]

[tex]= \frac{783641640960000000}{17414258688000000}[/tex]

[tex]=45[/tex]

Hope this helps! :)

What is the amount of m

Answers

Answer:

N=138

Step-by-step explanation:

(4x+6) + N = 180

In order to complete this problem we need to solve for x. 4x+6=7x-21

Subtract on both sides

Subtract again

Divide

x=9

Plug it in now so 4 times 9 plus 6. 36, plus 6 = 42.

plug it in to the equation 42+N=180

                                         -42       -42

                                                    138 = N

Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Daniela can drive a maximum of
going over $50. Round your answer to the nearest mile.
miles without the cost of the rental

Answers

Answer:

167 miles without the cost of the rental

Step-by-step explanation:

Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive? Round your answer to the nearest mile.

equation: where m = miles driven

50 = 0.18m + 19.95

subtract 19.95 from both sides:

50 - 19.95= 0.18m + 19.95 - 19.95

30.05 = 0.18m

divide both sides by 0.18:

30.05/0.18 = 0.18m/0.18

m = 166.9444

rounded: 167 miles without the cost of the rental

Answer:

167 :)

Step-by-step explanation:

it's math :)

What are the roots of the equation x 2 + 16 x + 80 = 0 x 2 +16x+80=0 in simplest a + b i a+bi form?

Answers

The quadratic equation x² + 16 · x + 80 has two roots: x₁ = - 1 / 10 + i (4 / 5), x₂ = - 1 / 10 - i (4 / 5).

How to determine the roots of a quadratic equation

In this question we find a quadratic equation of the form a · x² + b · x + c = 0, whose roots can be found by using the quadratic formula:

x = - b / (2 · a) ± [1 / (2 · a)] · √(b² - 4 · a · c)

Where b² - 4 · a · c is the discriminant of the quadratic formula, which offers three cases of solutions:

b² - 4 · a · c > 0: Two different real roots. b² - 4 · a · c = 0: Two equal real roots. b² - 4 · a · c < 0: Two conjugate complex roots.

If we know that a = 1, b = 16 and c = 80, then the roots of the quadratic equation are, respectively:

x = - 16 / 160 ± (1 / 160) · √(16² - 4 · 1 · 80)

x = - 1 / 10 ± (1 / 10) · √(- 64)

x = - 1 / 10 ± i (4 / 5)

The roots are - 1 / 10 + i (4 / 5) and - 1 / 10 - i (4 / 5).

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I need help please because I am failing in math

Answers

Answer:

what do you need help with?

Answer:

Step-by-step explanation:

You need a picture of the item.

Sophia spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -2.1°F. Between 9am and noon, the temperature increased by 10.8°F. Between noon and 3pm, the temperature decreased by 13°F. Between 3pm and 6pm, the temperature dropped 18.4°F. What was the temperature at 6pm?

PLEASE HURRY I NEED IT FAST

Answers

Using mathematical operations, we know that temperature after 6 p.m. will be -22.7°F.

What exactly are mathematical operations?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition Subtraction (from left to right).

So, the temperature after 6 p.m. will be:

The temperature at different times:

At 9 a.m. = -2.1°FBetween 9 - 12 = +10.8°FBetween 12 - 3 = -13°FBetween 3 - 6 p.m. = -18.4

Now, calculate to get the temperature after 6 p.m. as follows:

= -2.1 + 10.8 - 13 - 18.4 = -22.7°F

Therefore, using mathematical operations, we know that the temperature after 6 p.m. will be -22.7°F.

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A palindrome is a word or number that is the same when read forwards or backwards. For example, DAD is a palindrome, and so is
RACECAR. 484 is a palindrome number, and so is 9229.
What is the sum of a three digit palindrome number that ends in 71 and a four digit palindrome number that ends in 83?

Answers

Answer:

4054

Explanation:

171 is the three-digit palindrome that ends with 71

3883 is the four-digit palindrome that ends with 83

171 + 3883 = 4054

A bad contains 7 red marbels and 4 blue marbles
A marble is taken from the bag and replaced
another marble is taken from the bag

Work out the probability that the two marbles are the same colour
Give your answer as a fraction

Answers

Answer:

I think its 7/3 or 6/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) Because there are 7 red and 4 blue marbles, there are 7+4=11  marbles in the bag.

So the ratio of all marbles to blue marbles is 11 to 4.

We write this as follows. 11:4

(b)There are 7 red marbles and 4 blue marbles in the bag.

So the ratio of red marbles to blue marbles is 7 to 4.

We write this as follows. 7:4

Other Questions
Antivirus software prevents infection by recording key attributes about your files and checking to see if they change over time in a process called?. finches that live in areas that only have large seeds and small seeds as a food source have adapted their beak sizes in response to this food availability. this is an example of selection. a. directional b. diversifying c. guided d. stabilizing e. uniform Do you think the unofficial titles of some eras (i.e., Age of Fishes, Age of Reptiles,Age of Mammals) are informative or an oversimplification? Explain your reasoning.with alternative unofficial titles based on what you have learned aboutCome upeach era What is most likely suggested by the lines below (lines 7-8)?Yet many a man is making friends with deathEven as I speak, for lack of love alone.Answer choices for the above questionA. The speaker is speaking on behalf of single people everywhere.B. Some people will kill themselves simply because they can't find love.C. People will go so far as to murder people who don't love them back.D. None of the above which of the following racial or ethnic groups has been the most privileged racial or ethnic group in the united states? a.Irish Americans b.Italian Americans c.Middle Eastern d. white Anglo-Saxon Protestants a car speeds up from 22 m/s to 26 m/s in 2 seconds. what is the average acceleration of the car a gyroscope flywheel of radius 2.83 cm is accelerated from rest at 14.2 rad/s2 until its angular speed is 2760 rev/min. (a) what is the tangential acceleration of a point on the rim of the flywheel during this spin-up process? (b) what is the radial acceleration of this point when the flywheel is spinning at full speed? (c) through what distance does a point on the rim move during the spin-up? . You get an auto loan at 3.5% interest for 5 years; please answer the following. A. You can afford a $250 per month car payment; how expensive a car can you afford? B. You purchase a car for $8000 with a $2000 down payment, what are your monthly payments? describe the experimental method through which you determine the appropriate wavelength for an analyte Chuckling, Angela looked over her little brother's shopping list of bubble gum, race cars, and a puppy, and laid it aside, then, ignoring Harry's protests, she picked up the real list and headed for the door.Which revision will correct the punctuation error in the sentence?Answer options with 4 options1. replacing the comma after "puppy" with a semicolon2. replacing the comma after "aside" with a semicolon3. replacing the comma after "then" with a semicolon4. replacing the comma after "protests" with a semicolon I can determine if a function is linear ornonlinear.4. Determine if the table represents alinear or nonlinear function. The polynomial f(x) = 2x ^ 3 + a * x ^ 2 + bx + 6 is exactly divisible by 2x - 3 and has the remainder -28 when divided by (x + 3) a) find the values of a and b. b) solve the equation f(x) = 0 The production of a gold mine decreases by 5% per year.What is the approximate half-life for the production decline?Based on this approximate half-life and assuming that themine's current annual production is 5000 kilograms, aboutwhat will its production be in 10 years? Please help! Select the equation that represents the following linear graph: i bet u cant solve it whenever ad or as shifts and puts the economy out of long-run equilibrium, as has a natural tendency to shift in such a way as to bring the economy back into long-run equilibrium. if the economy always eventually comes back to long-run equilibrium, the reason that the government even tries to implement policies to bring the economy into equilibrium is that: the person most likely to conduct an interview with the client to obtain feedback on the projects team's performance is a(n) . senior manager accountant vendor staff person laborer reduce with all steps how many movies did marc watch between the beginning of week 1 and the beginning of week 5? do not include the unit in your answer. A falling object with a mass of 2.55 kg encounters 4.0 N of air resistance. What is the acceleration of the object? (Choose up to be the positive direction, and remember the definition of weight).Question 9 options:a) -21 Nb) -241.0 m/s2c) -21.0 m/s2d) -8.2 m/s2e) 8.2 m/s2