Answers
The specified radical expressions in the questions are evaluated and presented in the simplest form as follows;
(2) [tex]\sqrt[3]{x^2\cdot y^2} \cdot \sqrt[4]{x^5\cdot y^3} = \sqrt[12]{x^{23}\cdot y^{17}}[/tex]
(3) f(g(x)) = √(6·x + 1) - 5
(4) x = (15 ± √(33))/2
(5) x = 126
What is a radical expression?A radical is a mathematical expression which contains the radical expression, '√', which represent a fractional indices of the form 1/n.
(2) The specified radical expression is presented as follows;
∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex]
Expressing the above radical expression in index form, we get;
∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex] = [tex]x^{\frac{2}{3} }\times y^{\frac{2}{3} } \times x^{\frac{5}{4} } \times y^{\frac{3}{4}}[/tex]
Adding the index of like variable terms, we get;
[tex]x^{\frac{2}{3} }\times y^{\frac{2}{3} } \times x^{\frac{5}{4} } \times y^{\frac{3}{4}} = x^{\frac{2}{3} + \frac{5}{4} } \times y^{\frac{2}{3} + \frac{3}{4} }[/tex]
(2/3) + (5/4) = (2×4 + 5×3)/12 = 23/12 = 1 11/12
Therefore; [tex]x^{\frac{2}{3} + \frac{5}{4} } = x^{\frac{23}{12} }[/tex]
2/3 + 3/4 = (2 × 4 + 3 × 3)/(12) = 17/12 = 1 5/12
Therefore; [tex]y^{\frac{2}{3} + \frac{3}{4} } = y^{\frac{17}{12} }[/tex]
Which indicates that we get; [tex]x^{\frac{2}{3} + \frac{5}{4} } \times y^{\frac{2}{3} + \frac{3}{4} } = x^{\frac{23}{12} } \times y^{\frac{17}{12} }[/tex]
Therefore; ∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex] = [tex]x^{\frac{23}{12} } \times y^{\frac{17}{12} }[/tex]
In radical form, we get; [tex]x^{\frac{23}{12} } \times y^{\frac{17}{12} } = \sqrt[12]{x^{23} \cdot y^{17}}[/tex](3) The functions, f(x) = √(3·x + 4) - 5, g(x) = (2·x - 1)
The composite function, f(g(x)) can be found as follows;
f(g(x)) = √(3·g(x) + 4) - 5 = √(3·(2·x - 1) + 4) - 5
f(g(x)) = √(3·(2·x - 1) + 4) - 5 = √((6·x - 3) + 4) - 5 = √(6·x + 1) - 5
The composite function, f(g(x)) is therefore; f(g(x)) = √(6·x + 1) - 5(4) (√(x - 1)) = x - 7
Squaring both sides, we get;
(√(x - 1))² = (x - 7)²
(√(x - 1))² = x - 1(x - 7)² = x² - 14·x + 49Therefore;
(√(x - 1))² = x - 1 = (x - 7)² = x² - 14·x + 49
x - 1 = x² - 14·x + 49
x² - 14·x + 49 - (x - 1) = 0
x² - 15·x + 48 = 0
The quadratic formula can be used to solve the above equation to get;
x = (-(-15) ± √((-15)² - 4×1×48))/(2 × 1) = (15 ± √(33))/2
x = (15 ± √(33))/2(5) 2·∛(x - 1) + 6 = 16
2·∛(x - 1) + 6 = 16
Subtracting 6 from both sides, we get;
2·∛(x - 1) + 6 - 6 = 16 - 6 = 10
2·∛(x - 1) = 10
∛(x - 1) = 10/2 = 5
∛(x - 1) = 5
∛(x - 1)^3 = 5^3
∛(x - 1)^3 = x - 1
5^3 = 125
∛(x - 1)^3 = x - 1 = 125
x = 125 + 1 = 126
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Related Questions
100 points!!!!!
Using the information for West Coast Entertainment Inc. presented in the table below, determine the following:
1. The number of shares bought and sold on this trading day.
2. Amount of income per share paid to a stockholder in the last 12 months.
3. Percentage of change in the stock's price since the beginning of the year.
Answers
Percentage of change in the stock's price since the beginning of the year is: 12.32%
What is stock's price?The price at which a stock's share is currently trading on the market is referred to as the stock price. Every publicly listed company issues its shares at a price, which is an estimation of their value that, ideally, corresponds to the worth of the firm itself.
The market forces of supply and demand govern a company's share price once it becomes public and its shares begin trading on a stock exchange. Price increases will occur if there is a large demand for its shares. A stock's price might be reduced by sellers if the company's prospects for future growth appear uncertain.
Given that,
Closing price today = $21.20
Closing price on the previous trading day= $28.83
Difference between closing price today and closing price on the previous trading day= $21.20 - $28.83
= $7.63
Percentage of change in the stock price since the beginning of the year
= Year-to-date % change
= 12.32%
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Analyzing Functions Using an Equation and a Table
The function f(x)=x+is used to complete this
table.
-1
0
2
f(x)
1
312
2
512
2
Which statements are true of the given function?
Check all that apply.
머글)=-2
Of(0) = 2/1/2
Of(1) = -1
Of(2)=1
f(4) = 글
Answers
Answer:
2 . of(0)=2/1/2 this is answer number 2
The solution is, option 2 neither linear nor exponential.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The given function is
x : -5 -3 -1 1 3
f(x) :8192 512 32 2 18
when we plot this function in the excel we get to know that it a regression as shown in the figure attached
because value of lies between (0,1)
which shows regression
therefore it is neither linear nor exponential.
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How long does it take jim to mow lawn alone?
Answers
The time Jim takes alone to mow the lawn is 10 hours.
How to find the number of hours Jim take to mow?Jim and Craig, working together can mow the lawn in 8 hours. Working alone, Craig take 4 times as long as Jim.
Therefore, the time it takes Jim to mow the lawn alone can be calculated as follows:
let
x = time use by Jim to mow the lawn
Therefore,
time Craig use to mow the lawn = 4x
Hence,
1 / 8 = 1 / 4x + 1 / x
1 / 8 = 1 + 4/ 4x
1 / 8 = 5 / 4x
cross multiply
4x = 40
x = 40 / 4
x = 10
Therefore,
time Jim takes alone to mow the lawn = 10 hours.
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The rate in the portion formula is not always expressed with a percent symbol?
Answers
That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.
What is the proportional and ratio formula?How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.
What does a ratio example look like?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.
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The following information is available for Shanika Company for 20Y6: Inventories January 1 December 31 Materials $274,730 $346,160 Work in process 494,510 470,780 Finished goods 475,280 481,160
Answers
The Shanika Company's inventory levels changed during 20Y6. The materials inventory increased, the work in process decreased, and the finished goods slightly increased.
Inventory Changes at Shanika Company in 20Y6Based on the information provided, it appears that the Shanika Company has gone through some changes in its inventory levels during the 20Y6 period.
The company's materials inventory has increased from $274,730 on January 1 to $346,160 on December 31, indicating that the company has acquired more raw materials over the course of the year.
On the other hand, the work-in-process inventory has decreased from $494,510 to $470,780, suggesting that the company has been able to efficiently process its raw materials into partially completed goods over the year.
Finally, the finished goods inventory has increased slightly from $475,280 to $481,160, indicating that the company has been able to produce more finished products over the course of the year and has had sufficient demand for its products to keep the finished goods inventory at a relatively stable level.
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Please Answer Quick!
Answers
The conditional probability P(B|F) of the two way table is; P(B|F) = 0.37 given that the students prefer to write with block letters, there is a 0.37 probability that they have fair dancing skills
How to find the conditional probability of a two-way table?Two-way tables are a way of sorting data so that the frequency of each category can be seen quickly and easily.
Conditional probability is defined as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
Now, from the given two way table,
B = the student prefers writing in block letters.
F = the student's dancing skills are fair.
Thus;
P(B|F) = 17/45
P(B|F) = 0.37
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Does anyone know the reasoning for B
Answers
Answer:because angles in a triangle add up to 180 degrees.
Step-by-step explanation:
A=40
C=30
So 180-40-30=110
Angle A = 40
Reason - it shows the exterior angle is 320, so a full circle is 360, less 320 = 40 so your reason is correct
Angle B = 110
Reason - Angle B is a straight angle with its adjacent angle of 70. A straight angle sum is 180. 180 less 70 = 110.
* your current answer is not correct but I don’t know your choices in the drop down.
Maybe look for straight angle or adjacent angle in the answer.
Angle C = 30
your answer is correct, angle sum theory states the sum of the triangle angles equals 180.
Please help me with this question please
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The pair of opposite angles formed by two intersecting straight lines are known as Vertical Angles.
In the given figure, there are two pairs of vertical angles~
That are :
[tex]\qquad \sf \dashrightarrow \: \angle1 \: \: and \: \: \angle3[/tex]
and
[tex]\qquad \sf \dashrightarrow \: \angle2 \: \: and \: \: \angle4[/tex]
Also, vertical opposite angles are equal in measure.
Use the data display to answer 11 and 12.
11. Analyze and Persevere What does the mean
describe in the data set?
12. Analyze and Persevere What does the range
describe in the data set?
Answers
Answer:
563
Step-by-step explanation:
What is the equation of the midline for the function given? f(x) = 9sin3x + -5.
Answers
After answering the provided question, we can say that the function's midpoint equation = 9sin3x + -5 => f(1) = 9*0 + 5 = 5
What exactly is an equation?A mathematical equation is a formula that joins two statements and indicates equality with the equal symbol (=). In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the relationship between the two sentences on either side of a letter. There is frequently only one variable, which also serves as the symbol. For example, 2x - 4 = 2. midpoint equation = 9sin3x + -5 => f(1) = 9*0 + 5 = 5
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Quadratic Expressions:Question 1
Which is a factor of x²+ 7x + 10?
Select one:
a x-5
bx-1
cx+5
dx+1
Answers
Answer:
Option C. (x + 5)
Step-by-step explanation:
This quadratic equation can either be solved using the quadratic formula or be factorised using The Double Bubble Method.
Double Bubble Method:
After listing the different pairs of factors 10, the pair (that would add together to give 7) are 2 and 5. These two factors will be used to rewrite +7x:
[tex]x^{2} + 2x + 5x + 10[/tex]
Factorization by grouping (i.e factorising each separate group sharing a common factor) will then be applied:
[tex]= x(x + 2) + 5(x + 2)[/tex]
The common factor, which is the (x + 2) expression, will be extracted:
[tex]= (x + 2)(x + 5)[/tex]
∴ [tex]x^{2} + 7x + 10[/tex] can be factorised to [tex](x + 2)(x + 5)[/tex]
It is observed that a factor of the given quadratic equation is x + 5
∴Option C
11) Scientists studied the growth rates of two types of the flu virus. The growth rate of the first virus is modeled by the equation y = P * 3 ^ x where P is the number of people initially infected with the virus in a given population. The growth rate of the second virus could be modeled by v = P * 9 ^ x The growth rate of the second virus could be expressed as P * 3 ^ k What is the value of k? Show the work that gives your solution method. y =
Answers
The value of k is given as follows:
k = 2x.
How to obtain the value of k?The exponential function that models the growth of the first virus is given as follows:
y = P(3)^x.
The exponential function that models the growth of the second virus is given as follows:
y = P(9)^x = P(3)^k.
We have that 9 is the second power of 3, hence we have that:
y = P(3²)^x = P(3)^k.
Applying the power of power rule, we have that:
y = P(3)^(2x) = P(3)^k.
Hence the value of k is given as follows:
k = 2x.
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Find the volume V of the solid obtained by rotating the region bounded by the graphs of the given expressions about the specified line. y2 = x, x = 3y; about the y-axis V=
Answers
The volume, V of the solid obtained by rotating the region bounded by the graphs of the expressions, y² = x, x = 3y; about the y-axis is equals to the 162π/5 cubic units.
We have a region bounded by the graphs of two expressions. These expressios are y² = x, x = 3y. We have to calculate the volume of solid obtained by rotating the bounded region about the y-axis. First determine the intersection points of
y² = x, x = 3y.
=> x = 3y --(1)
=> y² = 3y
=> y² - 3y = 0
=> y( y - 3 ) = 0
=> y = 0 or y - 3 = 0
=> y = 0 , y = 3
from (1), x = 3y => x = 0, x = 9
Let the intersection points be O(0,0) and P(3,9). Now, the volume of rotating region or due to shaded region is
[tex]V = π\int_{0}^{3} (R² - r²) dy [/tex]
where R = 3y , r = y²
[tex]V = π\int_{0}^{3} [(3y)² - (y²)²]dy [/tex]
[tex]V = π \int_{0}^{3} (9y² - y⁴)dy [/tex]
[tex]V = π[ \frac{9y³}{3}- \frac{y⁵}{5} ]_{0}^{3} [/tex]
[tex]V = π[ \frac{9(3)³}{3}- \frac{{3}^{5} }{5} - 0- 0 ][/tex]
[tex]V = π(81 - \frac{243}{5} ) = \frac{162π}{5} [/tex]
Hence, the required volume is 162π/5 cubic units.
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What is the surface area? 5 yd 10 yd 7 yd square yards
Answers
Based on the information, it can be inferred that the area of the figure is 310 yards²
How to calculate the surface area of this figure?To calculate the surface area of this figure we must find the area of all the faces of the figure:
5 * 10 = 5010 * 7 = 705 * 7 = 35Then we must multiply the area of each face by the number of faces with that area.
50 * 2 = 10070 * 2 = 14035 * 2 = 70Finally we must add the areas of the faces
100 + 140 + 70 = 310According to the above, the total surface area of this figure is 310 yards ²
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Maria's abuela gave her $2000.00 for her quinceañera under the condition that she had to deposit it in a savings account for 42 months. How much interest will she have if the account earns 7.8% per annum simple interest?
Answers
Answer:
$ 546.00
Step-by-step explanation:
Simple Interest = P x r x t
where t = number of years
r = interest rate per year as a decimal
P = amount invested(deposit)
We are given that r = 7.8% per year = 7,8/100 = 0.078
However, since this is the yearly interest, the monthly interest = 0.078/12
The time period is 42 months
Initial deposit = $2,000
Therefore interest
I = 2000x (0.078/12) x 42 = $ 546.00
A sprinter starts from rest, and accelerates at 1.87 m/s^2 over a distance of 14.0 m. What is a her final velocity?
Answers
How many square feet of carpeting will Victoria need to buy?
Answers
Answer:
Below
Step-by-step explanation:
Rectangular area = L x W = 10 x 20 = 200 ft^2
PLUS triangular area = 1/2 b h = 1/2 * 10 * 10 = 50 ft^2
TOTAL = 250 ft^2
NEEDED TODAY THANK YOU
Answers
Step by step
First I will find the total area
A = L x W
A = 11 x 7
A = 77
Now to find the area of the missing space and subtract that from the total area of 77
L = 11 - 4 - 2 = 5
W = 7 - 3 = 4
A = 5 x 4
A = 20 area of cut out missing space
77 - 20 = 57 units squared
We will flip a balanced coin 3 times and for each toss, record whether we get a head or a tail. Write all possible outcomes of this experiment to find the probability that we get exactly 1 head.
Answers
The probability of getting exactly one head after flipping a coin three times is equal to ( 3 / 8 ) .
Possible outcomes of flipping a coin three times are :
= { HHH, THH, HTH, HHT, TTH, THT, HTT, TTT }
Possible outcomes of getting exactly one head are:
= { TTH, THT, HTT }
Total number of outcomes are equal to 8
Favourable number of outcomes are 3
Probability of getting exactly one head is equal to
= ( Number of favourable outcomes ) / ( total number of outcomes)
= 3 / 8
Therefore, the probability of getting exactly one head by flipping a coin three times is equal to ( 3 / 8 ).
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Mary plans to buy a kettle for R180-00, excluding vat.vat is charged at 15%.what is the total cost of the kettle vat is added
Answers
Answer:
R207
Step-by-step explanation:
R180 times 15% =27
27+180=207, therefore, R270 ir correct
Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c) constant.
y =f(x)
Answers
The intervals of each behavior of the function are given as follows:
a) Increasing: (-∞, -1).
b) Decreasing: (-1, 1).
c) Constant: (1, 3).
How to classify the function as increasing, decreasing or constant?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.More can be learned about functions at https://brainly.com/question/24808124
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Answers for this photo?
Answers
The slope for:
1 = 1/2 (Option E)
2 = 2 (Option C)
3 = -1/2 (Option H)
4 = -2 (Option A)
What is slope in Maths?The slope or gradient of a line in mathematics is a quantity that specifies both the direction and the steepness of the line.
The formula for slope (m) is given as:
m = Rise/Run = y2-y1/x2-x1
(x1,y1) = Coordinates of the first point in the line
(x2,y2) = Coordinates of the second point in the line.
1) The points are:
x1= -2
y1 = 2
x2 =2
y2 = 4
m = (4 - 2) / (2 - (-2))
m = 2 / 4
m = 1/2
Thus, Δy/Δx = 1/2
2) The points are:
x1= -1
y1 = -12
x2 =5
yx = 0
m = (y2 - y1) / (x2 - x1)
Substituting the given values, we get:
m = (0 - (-12)) / (5 - (-1))
m = 12 / 6
m = 2
Thus, Δy/Δx = 2
3) Where the points are:
x1= 2
y1 = -6
x2 = - 4
y2 = -3
Substituting the given values, we get:
m = (-3 - (-6)) / (-4 - 2)
m = 3 / (-6)
m = -1/2
Thus, Δy/Δx = -1/2
4) Where the points are:
x1= 0
y1 = 3
x2 = 1.5
y2 = 0
Substituting the given values, we get:
m = (0 - 3) / (1.5 - 0)
m = -3 / 1.5
m = -2
Thus, Δy/Δx = -2
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What is the solution to the system of equations?
{2x−3y=−5
{3x+y=−2
Answers
The solution to the system of equations is x = -1 and y = 1.
What is system of equations?A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."
The system of equation is given as:
2x - 3y = -5 .........(1)
3x + y = -2 ........(2)
Equation 2 can be written as:
y = -2 - 3x
Substituting the value of y in equation 1 we have:
2x - 3(-2 - 3x) = -5
2x + 6 + 9x = -5
11x + 6 = -5
11x = -5 -6
11x = -11
x = -1
Substituting the value of x in equation 2 we have:
3x + y = -2
3(-1) + y = -2
-3 + y = -2
y = -2 + 3
y = 1
Hence, the solution to the system of equations is x = -1 and y = 1.
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A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25500 kilograms. Other shipments weighing 6400 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 40-kilogram crates that can be loaded into the shipping container.
Answers
If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is: x=≤ 477.5.
What is inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Inequality
x is the integer
First step is to formulate the inequality
40x≤ 25,500-6,400
Now let determine the x by using the inequality
40x≤ 25,500-6,400
40x≤19,100
x=≤19,100/40
x=≤ 477.5
Therefore If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is: x=≤ 477.5.
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What is the range of this equation
This is college algebra
Answers
The range is the set of y-coordinates of the function.
As per graph we can see:
All positive values included as well as zero;There is one negative value, at y = - 2.Add all together to get the range:
y = - 2 and y ≥ 0As interval the range is:
y ∈ {-2} ∪ [0, + ∞)picture in the box findiing the average
-
Answers
[tex]\cfrac{6}{4+\sqrt{2}}\implies \cfrac{6}{4+\sqrt{2}}\cdot \cfrac{4-\sqrt{2}}{4-\sqrt{2}}\implies \cfrac{6(4-\sqrt{2})}{\underset{\textit{difference of squares}}{(4+\sqrt{2})(4-\sqrt{2})}} \implies \cfrac{6(4-\sqrt{2})}{(4)^2 - (\sqrt{2})^2} \\\\\\ \cfrac{6(4-\sqrt{2})}{16 - 2}\implies \cfrac{6(4-\sqrt{2})}{14}\implies \cfrac{3(4-\sqrt{2})}{7}\implies \cfrac{12-3\sqrt{2}}{7}[/tex]
In a certain college, 4 instructors are single out of 24 instructors employed. What is the ratio of single to married instructors?
A. 1 to 6
B. 1 to 5
C. 24 to 4
D. 20 to 24
Answers
Answer:
(B) "1 to 5."
Step-by-step explanation:
The ratio of single to married instructors is 1 to 5. Since 4 instructors are single out of 24 total instructors, the ratio of single instructors to married instructors is 4 to (24 - 4) = 4 to 20. Simplifying the ratio to its simplest form, we get 4:20 = 1:5, which is the answer choice (B) "1 to 5."
Please help me to with the following
Answers
The conclusion is that the mean bumper repair cost is greater for small pickups than for small utility vehicles at a significance level of 0.10.
How to make the decisionThe test statistic for this hypothesis test can be calculated as follows:
t = (μ1 - μ2) / sqrt(s1^2 / n1 + s2^2 / n2)
where:
μ1 = mean bumper repair cost for small pickups ($1090)
μ2 = mean bumper repair cost for small utility vehicles ($485)
s1 = standard deviation of bumper repair cost for small pickups ($403)
s2 = standard deviation of bumper repair cost for small utility vehicles ($382)
n1 = sample size for small pickups (5)
n2 = sample size for small utility vehicles (8)
Plugging in the values, we get:
t = (1090 - 485) / sqrt(403^2 / 5 + 382^2 / 8) = 4.36
Next, we need to find the critical value for a two-tailed test at a significance level of 0.10 using a t-distribution table or using a t-distribution calculator. Since the degrees of freedom (df) for a Welch's t-test are unequal, the critical value can be approximated using the degrees of freedom formula:
df = ((s1^2 / n1) + (s2^2 / n2))^2 / (((s1^2 / n1)^2) / (n1 - 1) + ((s2^2 / n2)^2) / (n2 - 1))
Plugging in the values, we get:
df = ((403^2 / 5) + (382^2 / 8))^2 / (((403^2 / 5)^2) / (5 - 1) + ((382^2 / 8)^2) / (8 - 1)) = 9.57
Using a t-distribution table or calculator, we find the critical value for a two-tailed test at a significance level of 0.10 and df = 9.57 is ±1.833.
Since the calculated t-value (4.36) is greater than the critical value (1.833), we reject the null hypothesis and conclude that there is evidence to suggest that the mean bumper repair cost is greater for small pickups than for small utility vehicles at a significance level of 0.10.
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4232852 round off yo the nearest 1000
Answers
Answer:
4,233,000
Step-by-step explanation:
4,232,000 4,4232,852 4,233,000
4,4232,852 is between 4,232,000 and 4,233,000. It is closer to 4,233,000.
The rule is to look a the digit in the hundreds' place. That number is 8. If the digit in the hundreds' place is 5 or larger, you round up.
Can I possibly get help with #1?
The question is attached as an image:
Answers
The graph of the function is added as an attachment
How to graph the function in (1)From the question, we have the following parameters that can be used in our computation:
h(x) = (1/3)ˣ - 4
The above function is an exponential function shifted down from the origin by 4 units
An exponential function of this form is represented as
h(x) = a(b)ˣ + c
Where
Initial value = a
Rate = b
Shift = c
Using the above as a guide, we have the following:
a = 1
b = 1/3
c = -4
Next, we plot the graph
See attachment for the graph of the function
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