a) The double-declining-balance rate is 0.5 or 50%.
b) The double-declining-balance depreciation for the first year is $53800.
What is depreciation?
Depreciation is an accounting procedure that allows a business to distribute an asset's cost over the course of its useful life. In other words, it keeps track of how an asset's value decreases over time. In order to better align an asset's productivity in use to its operating costs over time, businesses depreciate assets on their financial statements and for tax purposes.
The formula of the double-declining-balance rate is 2 × (1/useful life)
Given that the building acquired at the beginning of the year at a cost of $107,600 has an estimated residual value of $4,300 and an estimated useful life of 4 years.
The double-declining-balance rate is
= 2 × (1/4)
= 0.5
= 50%
The double-declining-balance depreciation for the first year is
$107,600 × 50%
= $107,600 × (1/2)
= $53800
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What interest could be earned by a deposit of $1,500 for 6 months at a bank that pay a 4 1/8% annual interest rate, compounded semiannually?
Answer:
Interest = $720
Balance = $9,720
Step-by-step explanation:
P = $9,000, the principal
r = 8% = 0.08, the interest rate
n = 2, semiannual compounding
After 6 months, the interest is
9000 * 0.08 = $720
The balance after 6 months is
9000 + 720 = $9720
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Find the circumference of a circle, in inches, whose diameter is 42 inches. Use 22/7 for π. Round to the nearest hundredth if needed.
The circumferance of the circle is 131.88 inches.
What is the circumferance of a circle?The circumferance of a circle is the length of the one - dimensional curve that encloses the circle's area. Mathematically -
C = 2πr
C = πd ..... Eq { 1 }
Given is a circle with diameter of 42 inches.
We can write the circumferance as -
C = 3.14 x 42
C = 131.88 inches.
Therefore, the circumferance of the circle is 131.88 inches.
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You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits into an annuity that pays 6% interest compounded monthly.
How much should you deposit each month?
Round your answer to the nearest cent. Do not include the dollar sign in the answer box below.
The amount that should be deposited monthly is $286.66.
What is a monthly deposit?The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.
The monthly deposit can be determined using an online finance calculator.
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 6%
PV (Present Value) = $0
FV (Future Value) = $20,000
Results:
Monthly Deposit = $286.66
Sum of all periodic deposits = $17,199.36
Total Interest = $2,800.64
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Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 3 and 5, vertex B is on ordered pair 4 and 1, and the vertex C is on ordered pair 2 and 1. (1 point) a It is twice the area of a square of side length 2 units. b It is one-half the area of a square of side length 2 units. c It is twice the area of a rectangle of length 2 units and width 4 units. d It is one-half the area of a rectangle of length 2 units and width 4 units.
A statement which best describes the area of Triangle ABC shown above include the following: D. It is one-half the area of a rectangle of length 2 units and width 4 units.
How to calculate the area of a triangle?Mathematically, the area of a triangle can be calculated by using this mathematical expression:
Area of a triangle = 1/2 × b × h
Where:
b represents the base area of a triangle.h represents the height of a triangle.How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
Area of a rectangle = LW or bh
Where:
W represents the width of a rectangle.L represents the length of a rectangle.In this context, we can reasonably infer and logically deduce that the area of a triangle ABC is half the of a rectangle i.e A = (bh)/2.
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Simplify (4s^5t*-7/−2s^-2t^4)^3. Write your answer using only positive exponents
This simplified form of given expression is: 21952s¹⁵t³/(-8s⁶t¹²) = 21952 / -8 *s¹⁵t³ / s⁶t¹² = 2744 / -1 * s⁹t⁻⁹
What is expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression in mathematics is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in structure.
Here,
Now, we can multiply this result by the original expression raised to the power of 3:
(4s⁵t⁻⁷/−2s⁻²t⁴)³ * (1/(-8s⁶t¹²)) = (4s⁵t⁻⁷)³ / (-8s⁶t¹²)
Finally, we'll simplify the numerator by raising 4s⁵t-7 to the power of 3:
(4s⁵t-7)³ = (4s⁵t)³ * (-7)³ = 64s¹⁵t³ * 343 = 21952s¹⁵t³
Putting it all together, we get the abbreviated version of the given expression: 21952s¹⁵t³/(-8s⁶t¹²) = 21952 / -8 *s¹⁵t³ / s⁶t¹² = 2744 / -1 * s⁹t⁻⁹
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Select the correct answer from each drop-down menu.
Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.
Statement Reason
Points A, B, and C form a triangle. given
Let be a line passing through B and parallel to . definition of parallel lines
∠3 ≅ ∠5 and ∠1 ≅ ∠4
m∠1 = m∠4 and m∠3 = m∠5
m∠4 + m∠2 + m∠5 = 180° angle addition and definition of a straight line
m∠1 + m∠2 + m∠3 = 180° substitution
Answer:
i hope this help
Step-by-step explanation:
Statement Reason
Points A, B, and C form a triangle. Given
Let be a line passing through B and parallel to . Definition of parallel lines
∠3 ≅ ∠5 and ∠1 ≅ ∠4 Definition of corresponding angles in parallel lines
m∠1 = m∠4 and m∠3 = m∠5 Substitution of corresponding angles
m∠4 + m∠2 + m∠5 = 180° Angle addition and definition of a straight line
m∠1 + m∠2 + m∠3 = 180° Substitution.
The length of a rectangle is 10yd less than three times the width, and the area of the rectangle is 77yd^2 . Find the dimensions of the rectangle.
Let's let w = the width of the rectangle. If the length is 10 yards less than 3 times the width, then the length is 3w - 10.
How do we find the area? Length times width, right?
So, we have w(3w - 10) = 77. Distributing, we get 3w2 - 10w = 77.
We need to put it all on one side, so we subtract 77 from both sides.
3w2 - 10w - 77 = 0
Now, we have to factor the left side. To do this, we multiply 3(-77) = -231. What are two factors of -231 that add up to -10? How about -21 and 11? -21(11) = -231 and -21 + 11 = -10.
This may not be how you are taught, but we are now going to split -10w into -21w + 11w and plug that into our equation.
Sooooo, now we have 3w2 - 21w + 11w - 77 = 0
Next, we are going to look at the first two terms, 3w2 - 21w. What is common between the two? 3w. Factoring out 3w, we get 3w(w - 7).
Now, the second two terms, 11w - 77. What is common? 11. Factoring out 11, we get 11(w - 7).
Putting all of that together, we now have 3w(w - 7) + 11(w - 7) = 0.
I can explain why and make it more confusing, so I'll just tell you that, since the w - 7 is the same in both parentheses, we keep that as one set of parentheses and combine what's in front into a second set of parentheses.
So, we have (w - 7)(3w + 11) = 0
Lastly, for the left side to equal 0, then either w - 7 and/or 3w + 11 has to equal 0, right?
We pull each out and set them equal to 0.
w - 7 = 0
w = 7
If we plug in 7, we get (7-7)(3(7) + 11) = (0)(21+11) = 0(32) = 0, which is what we want.
3w + 11 = 0
3w = -11
w = -11/3
If we plug -11/3 into the same equation, we'd get 0, again what we want. However, we can't have a negative length! Therefore, -11/3 is out as an answer.
Our width is 7. Since the length is 3w - 10, we plug in 7 and get 3(7) - 10 = 21 - 10 = 11.
Let's check. Length times width = 7(11) = 77. Check!
Which of the following expressions is equivalent to
?
Question content area bottom
Part 1
Select all that apply.
A.one fifth left parenthesis 6 plus 3 x right parenthesis
B.6 left parenthesis one fifth plus 3 x right parenthesis
C.three fifths left parenthesis 2 plus x right parenthesis
D.three fifths left parenthesis 3 plus 3 x right parenthesis
E.2 left parenthesis three fifths plus x right parenthesis
The solution to the equation is given as option C
How to solve for the solution of the fractionThe equation says [tex]\frac{6}{5}+\frac{3}{5}x[/tex]
we have to add the fractions
[tex]\frac{1 *6 +1*3x}{5}[/tex]
= 6 + 3x / 5
Hence the correct solution to the question here is option C because[tex]\frac{6+3x}{5} = \frac{3}{5}(2+x)[/tex]
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A square piece of cloth with an area of 324 square inches is folded in half twice to form the napkin shown. What is the area of the folded napkin?
The area of the folded napkin is 81 square inches.
What is square inches?Square inch is a unit of area, equal to the area of a square with sides of one inch.
A square with an area of 324 square inches can be folded in half to form a rectangle with half the area, or 162 square inches.
Folding the rectangle in half again will result in a smaller square with a side length equal to half the shorter side of the rectangle. The area of this smaller square is (1/2)^2 * 162 square inches = 81 square inches.
So, the area of the folded napkin is 81 square inches.
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Find the value of x such that the value of the trinomial 4x+8-x^2 is equal to the square of the binomial (x+2). Answer ASAP and I will give brainliest for the best explanation!
Step-by-step explanation:
-x² + 4x + 8 = (x + 2)² = x² + 4x + 4
-x² + 8 = x² + 4
4 = 2x²
2 = x²
x = ±sqrt(2)
trinomial just means "3 terms".
binomial just means "2 terms".
(x + 2) is therefore a binomial. its square is (x + 2)².
the question is for what x are the trinomial and the square of the binomial equal.
so, we just set both expressions as equal and solve for the variable x.
there are 2 solutions :
+sqrt(2)
-sqrt(2)
4. Fine the lateral area for the given cylinder. Use 3.14 pi and round to the nearest whole number.
A: 144 yd2
B: 288 yd2
C: 2,712 yd2
D: 904 yd2
(50 pts and possible brainlist!!)
Answer:
D
Step-by-step explanation:
lateral area = circumference * height
= 2π*r *24
=2π*6*24 =288π yd² = 904
Find the value of z from the following diagram
The value of the angle Z will be 56 degrees.
What is an arc of circle theorem?The angles that the same arc subtends at its circumference are equal. At the circle's centre, two equal chords subtend two equal angles.
The triangle in the centre is an isosceles triangle so the two angles will be 34°.
The third angle will be calculated as:-
Central angle = 180 - 34 - 34
Central angle = 112
The measure of the angle Z will be:-
Z = 112 / 2
Z = 56°
Therefore, the measure of the angle Z suspended outside will be 56 degrees.
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Using the given points and line, determine the slope of the line.
(-3,0) and (2,7)
O slope = -7/5
O slope = -5/7
O slope-5/7
O slope-7/5
Answer:
slope-5\7 is the answer
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}
A ∩ (B ∪ C) =
{1, 5, 6, 7, 9}
{}
{1, 5, 7, 9}
Answer:
hey, what are you asking
Step-by-step explanation:
What is the value of x?
Answer:
Choice A (x=9)
Step-by-step explanation:
There are 180 degrees in a triangle, as seen in the picture; the triangle shown is an equilateral triangle meaning all angles are the same; therefore, each side has to be 60 degrees. Therefore the answer we plug into 5x+15 must simplify to 60. So:
5x+15
plug in 9
= 5 (9) + 15
= 45 + 15
= 60
A school has a toy drive for a holiday in which students bring in toys to be donated to charity. the number of toys donated by juniors and seniors are summarized in the histograms
The standard deviation of the number of toys donated by juniors is greater than that of seniors.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.
[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]
For the seniors, the mean is given as,
Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10
Mean = 26
Then the standard deviation is given as,
σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10
σ = 14.28
For the juniors, the mean is given as,
Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10
Mean = 26
Then the standard deviation is given as,
σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10
σ = 13.19
The standard deviation of the number of toys donated by juniors is greater than that of seniors.
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The complete question is given below.
Please help I will mark Brainly
Answer: -.6, 0, .6
Step-by-step explanation: (-1,6) (0,0) (1, .6)
In 1995 the size of a typical personal
computer processor was 3.8 cm x 2.9 cm.
In 2009 a smartphone processor can be
as small as 1.1 cm x 0.8 cm. How much
larger is the 1995 processor than one
found in today's phones?
The 1995 processor when compared to the processor in today's phones is 12 .5 times larger .
How to find the difference ?To find how much larger the 1995 processor is , you first need to find the area of the processors.
Area of 1995 processor:
= 3. 8 x 2 . 9
= 11. 02 cm ²
Area of 2005 processor :
= 1. 1 x 0. 8
= 0. 88 cm ²
In comparison to the 2009 processor, the 1995 processor is :
= 11. 02 / 0.88
= 12 .5 times larger
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if a cupboard weighs (5y+6) more than a table. 3 cupboards and 4 tables weigh (29y+ 18) pounds in all. find the weight of the table in terms of y
The weight of the table in terms of y is 2y
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
Let z be the weight of 1 cupboard
Let x be the weight of 1 table
Z = 5y+6+x
3z+4x=29y+18
=> 4x=29y+18 - 3z
Substitute for z
4x=29y+18 - 3(5y+6+x)
= 29y+18 -15y-18-3x
4x+3x=14y
=> 7x=14y
=> x=2y
The weight of the table in terms of y is 2y
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Firm A expects to sell 2,548 units of its product per year, costing RM20 per unit, priced at RM35 per unit, under its present cash-only sales policy. If the firm switches to a proposed net 3-week credit sales policy, it expects to sell 2,912 units per year, but the cost will rise to RM22 per unit, and the price per unit can be raised to RM36 per unit. The firm's required rate of return (EAR) on receivables is 7%. Note: show all calculations clearly. [14 marks]
[A] Under the present cash-only sales policy, what is the firm's net cash flow every three weeks? [4 marks]
[B] What is the firm's immediate (now) net cash flow from adoption of the proposed 3-week credit sales policy? [1 mark]
[C] What is the firm's net cash flow every 3 weeks from adopting the proposed credit policy? [1 mark]
[D] What is the incremental cash flow every 3 weeks arising from switching from the present cash to the proposed credit policy? [1 mark]
[E] What is the firm's effective 3-week required rate of return from receivables? [3 marks]
[F] What is the present value of the perpetual incremental 3-week cash flows arising from switching from the cash to credit policy? [1 mark]
[G] What is the present value of the costs of switching from cash to credit policy? [1 mark]
[H] What is the net present value of switching from cash to credit policy? [1 mark]
[I] Should the firm switch from the cash to credit policy? Explain briefly. [1 mark]
[A] Under the present cash-only sales policy, the firm's net cash flow every three weeks is:
2,548 units x RM35/unit = RM89,180
2,548 units x RM20/unit = RM50,960
= RM38,220
[B] The firm's immediate (now) net cash flow from adoption of the proposed 3-week credit sales policy is:
0
What are responses to other questions?[C] The firm's net cash flow every 3 weeks from adopting the proposed credit policy is:
2,912 units x RM36/unit = RM105,312
2,912 units x RM22/unit = RM63,904
= RM41,408
[D] The incremental cash flow every 3 weeks arising from switching from the present cash to the proposed credit policy is:
RM41,408 - RM38,220 = RM3,188
[E] The firm's effective 3-week required rate of return from receivables is:
7%/4 = 1.75%
[F] The present value of the perpetual incremental 3-week cash flows arising from switching from the cash to credit policy is:
RM3,188 / (1 + 1.75%) = RM3,147.65
[G] The present value of the costs of switching from cash to credit policy is:
0
[H] The net present value of switching from cash to credit policy is:
RM3,147.65 - 0 = RM3,147.65
[I] The firm should switch from the cash to credit policy as the net present value is positive. The increase in revenue from the increased sales volume outweighs the increased cost of goods sold.
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select all the shapes that are enlargement of shape x
Answer: A and C
Step-by-step explanation: They both get longer by 3 blocks (X is 3 blocks long, 1 block tall) and 1 block tall per every 3 blocks added length wise.
Need help here with solution please
Option D is correct, the differentiate of the equation of x³+y³=1 is dy/dx=-x²/y²
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
We have to differentiate the equation of x³+y³=1
Differentiate both sides
3x²+3y²dy/dx=0
3y²dy/dx=-3x²
Divide both sides by 3y²
dy/dx=-x²/y²
Hence, option D is correct, the differentiate of the equation of x³+y³=1 is dy/dx=-x²/y²
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The approximation for the population of the bacteria 5 minutes from now is 3506 organisms.
How to approximate the population of the bacteria 5 minutes from now.Let's call the current time "t", and the population of the bacteria at time "t" be "P(t)".
Then, after 9 minutes, the population will be P(t + 9) = 3 * P(t). And after 5 minutes, the population will be P(t + 5) = 3^(5/9) * P(t).So, we have two points on the curve:
(t, P(t)) = (0, 1661), and (t + 9, P(t + 9)) = (9, 3 * 1661) = (9, 4983).
The equation of the line that passes through these two points can be found using the point-slope form of the line:
y - y1 = m(x - x1)
Substituting the points into the equation, we get:
4983 - 1661 = m(9 - 0)
m = (4983 - 1661) / (9 - 0) = 3322 / 9 = 369
So, we have
y = 369x + 1661
For the next 5 minutes, we have
P(t + 5) ≈ y = 369 * 5 + 1661 = 3506 (rounded to the nearest whole number)
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Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 100 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 500 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
If Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. The things that most likely happened in Sandy's experiment is: C. Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
What is the experimental probability ?Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
This is because as the number of trials increases, the experimental probability tends to as well approach the theoretical probability. The theoretical probability of getting heads or tails in a fair coin flip is always 0.5 or 50%. The larger the sample size, the more likely the experimental probability will be close to the theoretical probability.
Therefore the correct option is C.
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-6x+ 3 times 2x=16 solve for x
x = 2.67 is the solution to the equation -6x + (3)(2x) = 16.
What is the Algebraic Equations?
Algebraic equations are mathematical statements that describe a relationship between two or more variables, where one variable is expressed in terms of the others.
To solve the equation -6x + (3)(2x) = 16, we can simplify the expression on the left-hand side first:
-6x + (3)(2x) = -6x + 6x = 0x = 0
Next, we isolate the x term on one side of the equation by subtracting 16 from both sides:
0x = 0 - 16 = -16
Finally, we can solve for x by dividing both sides of the equation by -6:
x = -16 / -6 = 2.67 (rounded to two decimal places).
So, x = 2.67 is the solution to the equation -6x + (3)(2x) = 16.
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Tarea
a) ¿Qué tipo de arroz aporta más vitamina B1?
BOTE
b) ¿Qué tipo de arroz proporciona mayor cantidad de yodo al
organismo?
c) ¿Qué tipo de arroz aporta mayor cantidad de fibra?
d) El complejo B (formado por diferentes vitaminas tipo B) ayu-
da al mejor funcionamiento del sistema nervioso. ¿Cuántos
miligramos de este complejo aporta el arroz refinado?
e) La deficiencia de potasio en el organismo puede causar de-
bilidad muscular. El cuerpo de una persona mayor de 10 años
requiere una cantidad aproximada de 2000 mg al día. ¿Qué
tipo de arroz es preferible que consuma una persona? Explica
tu respuesta.
f) ¿Qué tipo de arroz es preferible comer? Explica tu respuesta.
Answer: a) No existe un tipo específico de arroz que aporte más vitamina B1. La cantidad de vitamina B1 varía dependiendo del cultivo y la forma de preparación.
b) El arroz fortificado con yodo es el que proporciona una mayor cantidad de yodo al organismo.
c) El arroz integral o de grano entero proporciona una mayor cantidad de fibra en comparación con el arroz refinado.
d) No se puede determinar la cantidad exacta de complejo B que aporta el arroz refinado, ya que depende de varios factores como el tipo de cultivo, la forma de preparación y el método de almacenamiento.
e) El arroz integral o de grano entero es preferible para consumo por una persona que desea obtener una mayor cantidad de potasio, ya que es una fuente rica en este nutriente.
f) El arroz integral o de grano entero es preferible porque es una fuente de nutrientes más completa que el arroz refinado. Sin embargo, esto depende de las necesidades individuales y objetivos nutricionales. Algunas personas pueden necesitar más arroz refinado por motivos de digestibilidad, mientras que otras pueden preferir el arroz integral para obtener una mayor cantidad de fibra, vitaminas y minerales.
Step-by-step explanation:
If 6% of a number equals one find 24% of that number
Answer
We have, 6% × x = 24 or, 6 100 × x = 24
Step-by-step explanation:
Multiplying both sides by 100 and dividing both sides by 6,
Answer:
24 % of that number is 4
Step-by-step explanation:
First solution:
If 6% of a number is 1, then 1% is 1/6 which is a repeating decimal, so we can just take it as 1/6. Then, to find 24% of that number we would have to do 1/6 x 24 which is equal to 24/6. 6 can evenly divide 24 which is 4.
Second solution:
We can see that since 24 is evenly divided by 6, to find 24%, we can multiply 1 by 4 because 6% x 4 = 24%
Therefore, 24% of that number is 4.
In the figure shown AD is parallel to BC.
D
A
9 cm
E
6 cm
8 cm
B
C
What is the length of AB? Enter the answer in the box. If necessary, round your answer to the nearest hundredth
The length of AB is 10 cm.
What is the Pythagorean Theorem?
The Pythagorean theorem is a mathematical theorem that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be expressed as c² = a² + b².
The length of AB can be found using the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides equals the square of the length of the hypotenuse (the longest side). In this case, we can form two right triangles, one with sides AD and AC and another with sides BC and AB.
Using the Pythagorean theorem, we have:
AB² = AC² + AD²
AB² = (8²) + (6²)
AB² = 64 + 36
AB² = 100
AB = √(100) = 10
Hence, AB is 10 cm.
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Select the two real roots of the polynomial function
S(r) = 5 +44 - 137³-10² - 12r + 72.
Or=-6; r = 2
Or=2; r = 6
Or=-6; T=-2
Or= -1; r = 6
Or= -2; r = 1
The real roots of the polynomial function are (a) r = -6 and r = 2
How to determine the real roots of the polynomial functionFrom the question, we have the following polynomial function that can be used in our computation:
s(r) = r^5 + 4r^4 - 13r^3 - 10r^2 - 12r + 72
At the real roots of the polynomial function, the following must be true
s(r) = 0
Using the above as a guide, we have the following:
Next, we test the options
Option (a)
s(-6) = (-6)^5 + 4(-6)^4 - 13(-6)^3 - 10(-6)^2 - 12(-6) + 72 = 0
s(2) = (2)^5 + 4(2)^4 - 13(2)^3 - 10(2)^2 - 12(2) + 72 = 0
See that s(-6) and s(2) have the values of 0
Hence, the real roots are s = -6 and s = 2
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Help
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The required domain of the function is all real numbers. Option A is correct.
What is a domain?The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
here,
Given function,
f(x) = 2x³ + 8
Since the domain of the given function is all real numbers, and also the range of the function is all real numbers.
Put x = 0,
f(0) = 8
the y-intercept of the function is (0, 8)
Thus, the required domain of the function is all real numbers. Option A is correct.
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