What are the domain and range of the function Rx) = 4(x2 +6x2+5x-4)?

What Are The Domain And Range Of The Function Rx) = 4(x2 +6x2+5x-4)?

Answers

Answer 1

R(x) is a polynomial. Thus, the domain is the same as the range.

Domain = range = ALL REAL NUMBERS.

We can also express the answer as

(-infinity, infinity).

Answer 2

The domain of the function is,

Domain = (x | x ∈ IR }

And, The range of the function is,

Range = (y | y ∈ IR }

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ R (x) = 4(x³ + 6x² + 5x - 4)

Now, We can draw the graph of function R (x) = 4(x³ + 6x² + 5x - 4) and By graph, we get;

The domain of the function is,

Domain = (x | x ∈ IR }

And, The range of the function is,

Range = (y | y ∈ IR }

Thus, The domain of the function is,

Domain = (x | x ∈ IR }

And, The range of the function is,

Range = (y | y ∈ IR }

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Related Questions

 For the equation 2n - 3 = 7

The variable is

The coefficient of the variable is

The solution to the variable n is

Answers

Answer:

The variable is n

The coefficient is 2

And the solution to n is 10.

Step-by-step explanation:

The number in the equation is the variable. The coefficient is the number before the variable. And a number next to a letter means you multiply. So 2*5=10 10-3=7

The variable is n, the coefficient of the variable is 2 and the value of the variable is 5

What is a variable?

In mathematics, a variable is a symbol that represents a mathematical object.

A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.

Given is an equation, 2n-3=7, we need to determine the variable, the coefficient of the variable and the solution to the variable n is

Here, we have the variable is n, the coefficient is 2,

Now, solving the equation for n,

Add 3 to both sides

2n-3+3=7+3

2n=10

Divide both side by 2

2n/2=10/2

n=5

Hence, the variable is n, the coefficient of the variable is 2 and the value of the variable is 5

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Which expression is equivalent to 2 1/5 divided by 1/4
please help

Answers

Answer:

[tex]\frac{0.2}{20}[/tex]

Step-by-step explanation:

ez

In the scenario:

“The number of ways to place 12 pictures in identical picture frames.”

Determine if it is a combination or permutation.


Combination

Permutation

Answers

Answer:

Combination

Step-by-step explanation:

Answer:

This would be a Permutation.

Which is bigger 6.3 with a bar on top or 6.38?

Answers

Answer:

6.38

Step-by-step explanation:

because if the other one 6.3 that means 6.30

11. 12. and 13 please no links

Answers

Answer:

11. Classification on basis of angles - Acute angled triangle

Classification on basis of sides - Isosceles triangle

12. Classification on basis of angles - Right angled triangle.

Classification on basis of sides - Scalene triangle

13. Classification on basis of angles - Obtuse angled triangle.

Classification on basis of sides - Isosceles triangle.

A telephone call costs $0.15 for the first minute, plus $0.05 for each
additional minute. The total cost of the call was $1.30. This equation
can be used to find m, the length in minutes of the telephone call.
0.15 + 0.05(m - 1) = 1.30

Answers

Subtract .15 from both sides...
.05(m-1) = 1.15
Divide both sides by .05...
m-1 = 23
Add 1 to both sides...
m = 24
There’s your answer, the call was 24 minutes long

Find the measure of an interior angle of a regular polygon with 6 sides. Round to the nearest tenth if necessary.
#1

Answers

Answer:

120

Step-by-step explanation:

180(6-2)/6

am i doing this correctly?

Answers

Yes that is how you do it

Erwin flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the
cube will show a multiple of 3.
Write the probability as a fraction in simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

P(H and 3 or 6):  1/2 x 2/6 = 2/12 or 1/6

A quantity with an initial value of 5700 decays exponentially
at a rate of 7.5% every 2 days. What is the value of the
quantity after 234 hours, to the nearest hundredth?

Answers

Answer:

36.5625

Step-by-step explanation:

so, if it decays at a rate of 7.5% every 2 days, and we have 234 hours, we do the following, 234/24, since there are 24 hours in a day, that gives us 9.75, "7.5% every 2 days" so we do this, 9.75/2 = 4.875

4.875 * 7.5 = 36.5625

i migt be wrong, but i'm pretty sure this is the answer, i'm not saying this is the answer like some people do, please let me know if i'm wrong.

Answer:

3897.77

Step-by-step explanation:

Decays 7.5%→r=0.075 (divide by 100)

Decays every 2 days: exponent of  t/2

(where t is in days)

function- f(t)=5700(1−0.075) ^t/2

234 hours→234/24→9.75 days

Plug in t=9.75

f(9.75)=5700(1−0.075)  ^9.75/2

3897.76635734  

≈3897.77

What is .172 divided by 2

Answers

Question:

What is 172 divided by 2?

Answer:

0.086

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 2 on the left side and the dividend 172 on the right side like this:

           

   2 ⟌ 1 7 2

Step 2:

The divisor (2) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   2 ⟌ 1 7 2

Step 3:

Multiply the divisor by the result in the previous step (2 x 0 = 0) and write that answer below the dividend.

       0    

   2 ⟌ 1 7 2

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   2 ⟌ 1 7 2

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (7) like this:

       0    

   2 ⟌ 1 7 2

     - 0    

       1 7  

Step 6:

The divisor (2) goes into the bottom number (17), 8 time(s). Therefore, put 8 on top:

       0 8  

   2 ⟌ 1 7 2

     - 0    

       1 7  

Step 7:

Multiply the divisor by the result in the previous step (2 x 8 = 16) and write that answer at the bottom:

       0 8  

   2 ⟌ 1 7 2

     - 0    

       1 7  

       1 6  

Step 8:

Subtract the result in the previous step from the number written above it. (17 - 16 = 1) and write the answer at the bottom.

       0 8  

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1  

Step 9:

Move down the last digit of the dividend (2) like this:

       0 8  

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1 2

Step 10:

The divisor (2) goes into the bottom number (12), 6 time(s). Therefore put 6 on top:

       0 8 6

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1 2

Step 11:

Multiply the divisor by the result in the previous step (2 x 6 = 12) and write the answer at the bottom:

       0 8 6

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1 2

         1 2

Step 12:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

       0 8 6

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1 2

     -   1 2

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 172 divided by 2 calculated using Long Division is:

86

0 Remainder

0.172 divided by 2 is equal to approximately 0.086.

To divide 0.172 by 2, you can set up the division like this:

0.172 ÷ 2

To make the division easier, you can convert the decimal 0.172 to a fraction:

0.172 = 172/1000

Now, rewrite the division as a fraction divided by 2:

172/1000÷ 2

To divide fractions, you can multiply the numerator by the reciprocal of the divisor (2):

172/1000× 1/2

Now, multiply the numerators and denominators:

Numerator: 172 × 1 = 172

Denominator: 1000 × 2 = 2000

So, the result is:

172/2000

To simplify the fraction, find the greatest common divisor (GCD) of the numerator (172) and the denominator (2000), and then divide both the numerator and denominator by the GCD.

The GCD of 172 and 2000 is 4.

Divide both the numerator and denominator by 4:

(172 ÷ 4) / (2000 ÷ 4)

This simplifies to:

43/500

=> 43 ÷ 500 ≈ 0.086

So, 43/500 as a decimal is approximately 0.086.

So, 0.172 divided by 2 is equal to approximately 0.086.

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PLEASE HURRY. THIS IS FROM A TEST AND I GOT THE QUESTION WRONG.

Answers

Answer:

60

Step-by-step explanation:

5*3=15

3*3=9

4*3=12

4*3=12

4*3=12

(12*3)+9+15= 60

Answer:

i think the voulme would be 60 cm

Step-by-step explanation:

im sorry if its wrong

Which graph represents the function y = 4?

Answers

Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

Help plz! For both questions

Answers

Answer:

1. Yes

2. No

Step-by-step explanation:

{5+[3×(7+3)]-(8-4)}×2

Answers

Answer:

62

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

{5+[3×(7+3)]-(8-4)}×2

First, you solve in the brackets.

{5+[3×(10)]-(4)}×2

5+3×(10)-(4)×2

5 + 30 - 8

27

find the area of a regular hexagon with side length of 10 and apothem of 8.7 meters
HELP PLZZZ​

Answers

Answer:

43.5 meters

Step-by-step explanation:

Area of regular hexagon =

[tex] \frac{1}{2} \times ap[/tex]

in the problem you have a = 10 meters

and p = apothem = 8.7 meters

so if you apply the formula

you will have

area =( 1/2) × 10 × 8.7

area = 43.5 meters

Which of the following sets of lengths will NOT form a triangle?

A 14 cm, 15 cm, 16 cm14 cm, 15 cm, 16 cm

B 22 cm, 8 cm, 15 cm22 cm, 8 cm, 15 cm

C 17 cm, 10 cm, 18 cm17 cm, 10 cm, 18 cm

D 24 cm, 6 cm, 15 cm

Answers

D 24 cm, 6cm, 15cm
.

Eighth grade) W.16 Create equations with no solutions or infinitely many solutions Learn with an example v Find the missing number(find blank) so that the equation has no solutions. (blank) X - 5 = 3x + 10 ​

Answers

Answer:

i dont know if this is the right but i think its -5

Step-by-step explanation:

48 of the coffee mugs at Luisa's Pancake House are dirty 60. What percentage of the coffee mugs at the pancake house are dirty

Answers

Answer:

80

Step-by-step explanation:

48/60 = 4/5

What is the value of X?

Answers

Answer:

5

Step-by-step explanation:

A^2 +B^2 =C^2

12^2 + b^2 =13^2

144+ b^2 =169

[tex]x^{2}[/tex]= 25

x=5

The height of a batted baseball is modeled by the equation h(t) = -16t²+64t+6, where t is measured in seconds and h is measured in feet.
a.) At what time in seconds does the ball attain its maximum height?
b.) What is the maximum height attained by the ball? (Give your answer in feet.)

Answers

Answer:

[tex] \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70[/tex]

Answer:

a) t = 2 seconds

b) 70 feet

Step-by-step explanation:

First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.

[tex]h(t) = -16t^{2} +64t+6[/tex]

To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.

[tex]v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64[/tex]

Now we can substitute in v=0

This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.

[tex]0=-32t+64[/tex]

Rearrange and we get:

[tex]32t = 64\\t=2[/tex]

Ball attains maximum height at 2 seconds.

To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.

[tex]h(t) = -16t^{2} +64t+6[/tex]

[tex]h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70[/tex]

The maximum height attained is 70 feet.

Hope this helped!

In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 19 hours. How many bacteria
would there be after 17 hours, to the nearest whole number?

Answers

Answer:

After 17 hours there will be about 143 bacteria.

Step-by-step explanation:

Given that in a lab experiment, 80 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 19 hours, to determine how many bacteria would there be after 17 hours, to the nearest whole number, the following calculation must be performed:

 

80 x ((2/19) x 17) = X

80 x (0.1052 x 17) = X

80 x 1.7894 = X

143.15 = X

Thus, after 17 hours there will be about 143 bacteria.

Answer:

149

Step-by-step explanation:

148.741656801

≈149

is 3 greater than -10

Answers

Answer:

Yes, it is

Step-by-step explanation:

If you look at a number line, 3 is on the postive side of the number line.

Yes, 3 is greater than -10. 3 is a positive number, and -3 is a negative.

What is the solution to this system of equations?

x − 2y = 15
2x + 4y = -18
A.
x = 1, y = -6
B.
x = 1, y = -7
C.
x = 3, y = -6
D.
x = 3, y = -7

Please answer don't put a folder so I can download.

Answers

Answer:

C

Step-by-step explanation:

because it is the answer

1. Side of a square is 4 cm. Length of its diagonal is​

Answers

Answer:

5.64

Step-by-step explanation:

To find the radius of a square, cut in half 4/2 = 2. Then square it 2x2 = 4. Then double it to get 8. Then find square root, 2.82. Then double again for full length of diagonal.

Answer:

4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]4^{2} + 4^{2} = 32\\ so \sqrt{32}[/tex][tex]\sqrt{32} = 4\sqrt{2\\}[/tex]

Please help asap!

Find the area of the figure.
area ___ units^2

Answers

Answer:

34 Units ^2

Step-by-step explanation:

Pls help me with my math homework I need help

Answers

Answer:

(-3,2) & (0,6)       4/3

(3,-5) & (-5,1)       -3/4

(0,0) & (-4,-3)     3/4

(5,6) & (8,2)      -4/3

(6,-2) & (7,-3)    -1

(8,-3) & (10,1)      2

(-8,-4) & (-6,-5)    -1/2

(-8,-4) & (-10,-5)    1/2

Step-by-step explanation:

how do you solve 5% of 58

Answers

Answer:

2.9

Step-by-step explanation:

5% of 58

58 × 5 ÷ 100 = 2.9

Step-by-step explanation:

Convert 5% to a fraction first.

[tex]5\% = \frac{5}{100} \\ = \frac{1}{20} [/tex]

5% of 58

=

[tex] \frac{1}{20} \times 58 \\ = \frac{58}{20} \\ = \frac{29}{10} \\ = 2.9[/tex]

PLS HELP ME WITH THIS

Answers

Answer:

1. F

2. (2,2)

3.  points P and E

Step-by-step explanation:

6. It took Todd 9 hours to paint 4 rooms.
If he continued painting at that rate,
how many rooms could he paint in
12 hours? Explain your reasoning.
Answer quick PLZZ no website

Answers

Answer:

84

Step-by-step explanation:

hegfrhellovvrrvrbrbrvrvehiznznxndn

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