Step 1:
Given data
Number of identical motors = 36
Total current for all 36 motors = 85 amps
Step 2: Calculate current for each motor
If the total current in all 36 motors = 85 amps
To find the current in 1 motor, you will divide the total number of current with the total number of motors.
Step 3: Final answer
[tex]\begin{gathered} \text{Current for each motor = }\frac{Total\text{ current}}{\text{Total number of motors}} \\ =\text{ }\frac{85}{36} \\ =\text{ 2.36 amps/motor} \end{gathered}[/tex]Current for each motor = 2.36 amps/motor
This is a 4 part question as u can see in directions please help I’m stuck on this question on my homework
Given the function:
[tex]f\left(x\right)=3x-8[/tex]a) the inverse function is:
[tex]f^{-1}\left(x\right)=\frac{1}{3}(x+8)[/tex]So, we have two linear functions, which are one-to-one (every element of the function's codomain is the image of at most one element of its domain).
b) In order to graph both functions, keep in mind that f is a line with slope 3 and y-intercept at y = -8. As for f^{-1} it is a line with slope 1/3 and y-intercept at y = 8/3. You can simply graph both function on the same axes by calculating the values of f and f^{-1} given some values of x, for instance:
x = ..., -2 , -1, 0, 1, 2,...
f(x) =
f^{-1} =
As can be seen in the following graph: purple line represents f and pink line represents f^{-1}:
c) The domain and range of f(x) and f^{-1} is the same:
[tex]f:\text{ }\Re\rightarrow\operatorname{\Re}[/tex][tex]f^{-1}^:\text{ }\Re\rightarrow\Re[/tex]Cual es la coordenada-y del punto C ? What is the y-coordinate of pint C ?
The y co-ordinate of the point C is 13.
Given, the points are :
A (2,4) = (x₁,y₁)
B (10,10) = (x₂,y₂)
Ratio of the length AC to CB is 3:1.
⇒ 3:1 = m:n
⇒ section formula C = (mx₂-nx₁/m-n) , my₂-ny₁/m-n)
substitute the values.
⇒ C = (3(10)-1(2)/3-1 , 3(10)-1(4)/3-1)
⇒ C = (30-2/2 , 30-4/2)
⇒ C = (28/2 , 26/2)
⇒ C = (14 , 13)
Hence the y coordinate of C is 13.
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Cam decided to rent a storage unit to store his sailboat. The mast of the boat is 20 feet long. The storage unit is 4ft by 8ft by 19ft. Will the mast fit in the storage unit?A. YesB. No
Step 1
Find the volume of the storage
[tex]Length\times width\times height[/tex]From the data given the storage could have a height of 4ft or 8ft or 19ft. The mast of the sailboat is 20 feet long. This means that no matter which of the measurements is the height of the store, the mast of the sailboat will not fit in because it is longer than all those heights.
Therefore, the answer will be;
No the storage unit is too small to fit the mast of the sailboat
Can you please help me answer this question thank you if it’s A, B C or D
Concept
In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.
Given:
period of record = 5 years
mean daily revenue = $5400
Standard deviation = $54
We want to identify which of the options perfectly describes the sampling distribution of the sample mean supposing that 36 days are randomly selected.
Using the central limit theorem, we know that regardless of the distribution one samples from if the population mean and standard deviation are:
[tex]\begin{gathered} population\text{ mean (}\mu) \\ \text{Standard devaition (}\sigma) \end{gathered}[/tex]then, the mean is approximately normally distributed and has a value equal to the population mean, while the standard deviation of the sample means is:
[tex]\frac{\sigma}{\sqrt[]{n}}[/tex]Hence the standard deviation of the sample means is:
[tex]\begin{gathered} =\text{ }\frac{54}{\sqrt[]{36}} \\ =\text{ \$9} \end{gathered}[/tex]We can conclude that the distribution is normal with a mean of $5400 and a standard deviation of $9
Answer: Option B
Question 8 of 10The diagonal of a TV is 30 inches long. Assuming that this diagonal forms apair of 30-60-90 right triangles, what are the exact length and width of the TV?A. 60 inches by 60/3 inchesB. 15 inches by 15/5 inchesC. 60/2 inches by 600/2 inchesO D. 15.2 inches by 15.2 inches
The diagram of the triangle formed is shown below
The length is BC and the width is AB
To find BC, we would apply the cosine trigonometric ratio which is expressed as
Cos# = adjacent side /hypotenuse
hypotenuse = AC = 30
adjacent side = BC
# = 30
Thus, we have
[tex]\begin{gathered} \text{Cos}30\text{ = }\frac{BC}{30} \\ \text{Note, Cos30 = }\frac{\sqrt[]{3}}{2} \\ We\text{ have} \\ \frac{\sqrt[]{3}}{2}=\text{ }\frac{BC}{30} \\ 2BC\text{ = 30}\sqrt[]{3} \\ BC\text{ = }\frac{30\sqrt[]{3}}{2} \\ BC\text{ = 15}\sqrt[]{3} \end{gathered}[/tex]To find AB, we would apply the sine trigonometric ratio which is expressed as
Sin# = opposite side /hypotenuse
hypotenuse = AC = 30
opposite side = AB
# = 30
Thus, we have
Sin30 = AB/30
Recall, sin30 = 0.5
Thus,
0.5 = AB/30
AB = 30 * 0,5
AB = 15
Thus, the correct option is B
QuestionThe lid of a water bottle is a circle with a radius of 0.5 inches. Find a. The circumference of the lid. b. The area of the lid. Use 3.14 for pi.
Given in the question:
a.) The lid of a water bottle is a circle with a radius of 0.5 inches.
A.) The circumference of the lid.
Step 1: Since the lid is a circle, let's recall the formula for finding the circumference at a given radius.
[tex]\text{ C= 2}\pi r[/tex]Step 2: Let's plug in the r = 0.5 inches in the formula to get the circumference.
[tex]\text{ C= 2}\pi r[/tex][tex]\text{ C= 2(3.14)}(0.5)[/tex][tex]\text{ C= 3}.14\text{ inches}[/tex]Therefore, the Circumference of the lid is 3.14 inches.
B.) The area of the lid.
Step 1: Let's recall the formula for finding the area of a circle at a given radius.
[tex]\text{ A = }\pi r^2[/tex]Step 2: Let's plug in the r = 0.5 inches in the formula to get the area.
[tex]\text{ A = }\pi r^2[/tex][tex]A=(3.14)(0.5)^2[/tex][tex]\text{ A = 0.785 in.}^2[/tex]Therefore, the Area of the lid is 0.785 in.².
Circle all systems of equations that have NO solutions. A. y = 5 – 3x y = -3x + 4 B. y = 4x – 1 4y = 16x – 4 C. 5x – 2y = 3 10x – 4y = 6 D. 3x + 7y = 42 6x + 14 y = 50 E. y = 5 + 2x y = 5x + 2
To determine if a system of equation have solution you have to determine if the slope (m) is equal or diferent.
If the slope is the same it has NO solution
If the slope is different has a solution
If the equations are equivalents have infinite solutions
To determine the slope the equation must be is the form:
[tex]y=mx+b[/tex]Then
A.
y = 5 – 3x
In this equation the slope is m = -3
y = -3x + 4
In this equation the slope is m= - 3
The system has NO solution
B.
y = 4x – 1
m= 4
4y = 16x – 4
You need to simplify the equation, as follow:
[tex]\frac{4}{4}y=\frac{16}{4}x-\frac{4}{4}[/tex][tex]y=4x-1[/tex]Then the equation are the same it means the system has infinited solutions.
C.
5x – 2y = 3
[tex]-2y=3-5x[/tex][tex]y=-\frac{3}{2}+\frac{5}{2}x[/tex]m= 5/2
10x – 4y = 6
[tex]-4y=6-10x[/tex][tex]y=-\frac{6}{4}+\frac{10}{4}x[/tex]Simplify:
[tex]y=-\frac{3}{2}+\frac{5}{2}x[/tex]Then the equation are the same it means the system has infinited solutions.
D.
3x + 7y = 42
[tex]7y=42-3x[/tex][tex]y=\frac{42}{7}-\frac{3}{7}x[/tex][tex]y=6-\frac{3}{7}x[/tex]m= -3/7
6x + 14 y = 50
[tex]14y=50-6x[/tex][tex]y=\frac{50}{14}-\frac{6}{14}x[/tex][tex]y=\frac{25}{7}-\frac{3}{7}x[/tex]m= -3/7
The system has NO solution
E.
y = 5 + 2x
m= 2
y = 5x + 2
m= 5
The system has one solution
Then the systems that have NO solution are: A and D
A purse sells for $325. What was the original price of the purse if it is being sold at a 1625% markup?
You have that the price of a purse is $325 with a 16.25% markup.
In order to determine what was the original price of the purse, you consider that the original price minus 16.25% of the unknown original price x is equal to 325.
Consider that the 16.25% of a quantity is simply the multiplication of (16.25/100) for such a quanity.
Then, you have:
x - (16.25/100)x = 325 "original price minus 16.25% of the original price"
calculate the quotient left side:
x - 0.1625x = 325
simplify like terms left side:
0.8375x = 325
divide by 0.8375 both sides:
x = 325/0.8375
x = 388.05
Hence, the original price of the purse was $388.05
AABC is isosceles.mZA = 3x + 40 and mZC = x + 50BAmZA= [ ? 1°
ANSWER:
The value of the angle A is 55°
STEP-BY-STEP EXPLANATION:
Angles opposite equal sides are angles that are also equal.
Therefore, in this case A and C are equal angles, therefore we can do the following equation:
[tex]\begin{gathered} A=C \\ 3x+40=x+50 \end{gathered}[/tex]Solving for x:
[tex]\begin{gathered} 3x-x=50-40 \\ 2x=10 \\ x=\frac{10}{2} \\ x=5 \end{gathered}[/tex]Now we replace the value of x, in A and we are left with:
[tex]\begin{gathered} A=3\cdot5+40 \\ A=15+40 \\ A=55 \end{gathered}[/tex]Find the area of parallelogram ABJF. The area is _ square units simplify your answer
We solve as follows:
*We cam see that both segments FJ & AB have a length ofngth of
The regulation height of a basketball hoop is 10 feet. Let the location of thebasket be represented in the coordinate plane by the point (0, 10). Let the ballbe thrown at a 45° angle with the ground.1. Suppose Nancy is standing a horizontal distance of 10 feet from thebasket at the point (-10, 0), and she shoots a basket from 6 feet in theair with an initial velocity of 22 ft/s.Question 1)C. Will Nancy make the basket? Defend your reasoning.D. Use appropriate tools strategically. Experiment on yourcalculator with different direction angles until the player makes abasket. What angle did you use?
Answer:
(A): Using the equations of motion, we can determine the answer as follows:
[tex]\begin{gathered} x(t)=x_{\circ}+v_{\circ}cos(\theta)t\rightarrow(1) \\ \\ y(t)=y_{\circ}+v_{\circ}sin(\theta)-\frac{1}{2}gt^2\rightarrow(2) \\ \\ y(x)=xtan(\theta)-\frac{g}{2(v_{\circ})^2cos^2(\theta)}x^2\rightarrow(3) \end{gathered}[/tex]formula (3) is obtained from (1) and (2), using equation (3) the answer is determined as below:
[tex]\begin{gathered} y(x)=xtan(\theta)-\frac{g}{2(v_{\circ})^2cos^2(\theta)}x^2 \\ \\ v_{\circ}=22\text{ f/s} \\ \\ \theta=45 \\ \\ g=32.1522\text{ f/s} \\ \\ y(x)=xtan(45)-\frac{32.1522}{2\times22^2cos^2(45)}x^2 \\ \\ y(x)=x-\frac{32.1522}{2\times22^2cos^2(45)}x^2 \\ \\ y(x)=x-\frac{32.152,2}{484}x^2 \\ \\ y(x)=x-0.06643x^2 \\ \\ (x,y)\rightarrow\text{ Adjusting the position for the shift gives:} \\ \\ y(x)=[(x+10)-0.06643(x+10)^2]+6\rightarrow(4) \end{gathered}[/tex]The plot of the (4) reveals the following:
Therefore the answer is no.
(D) Trying a new angle theta = 60 degrees gives the following new answer:
Therefore the answer is:
[tex]\theta=60^{\circ}[/tex]Algebra1B CP identify a nonviable solution and explain why it is nonviable within the context of the problem
SOLUTION
Step 1 : Attached is the graph that shows the solutions of the two equations:
Step 2: We need the get the values of x and y in the two sets of the equations.
[tex]\begin{gathered} x\text{ + 2y }\leq\text{ 500 --equ 1 multiplied by 3 = 3 x + 6y }\leq\text{ 1500 ---equ 3} \\ 3x\text{ + 4y }\leq\text{ 1200 ---- equ 2} \\ \text{equ 3 minus equ 2, we have that :} \\ 6y\text{ - 4y }\leq\text{ }1500\text{ - 1200} \\ 2y\text{ }\leq\text{ 300} \\ \text{Divide both sides by 2 , we have that:} \\ y\text{ }\leq150 \\ \text{put y }\leq\text{ 150 in equ 1, } \\ x\text{ + 2y }\leq\text{ 500} \\ x\text{ + 2 (150 ) }\leq\text{ 500} \\ x\text{ + 300 }\leq\text{ 150} \\ x\text{ }\leq\text{ 500 - 300} \\ x\text{ }\leq\text{ 200} \end{gathered}[/tex]CONCLUSION: It means that the number of shirts, x = 200
while the number of pyjamas , y = 150
Write an equation in slope-intercept form for the line perpendicular to the given line that passes through the origin. y = 11/5 x + 7
y = 11/5 x + 7
Slope intercept form:
y=mx+b
Where:
m= slope
b= y-intercept
So, for the line given:
m= 11/5
b= 7
Perpendicular lines have negative reciprocal slopes.
negative reciprocal of 11/5 = -5/11
Slope = -5/11
So far we have:
y= -5/11 + b
Since it passes through the origin (0,0) replace and solve for b:
0= -5/11(0) +b
b=0
Final expression:
y= -5/11x
Multiply the following polynomials. Once simplified, name the resulting polynomial. (3x^2 - 4) (5x - 6)name:
Cubic
Explanation:(3x² - 4) (5x - 6)
= 3x²(5x - 6) - 4(5x - 6)
Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.
= 15x³ - 18x² - 20x + 24
Naming polynomial base on the number of terms:
There are 4 terms in the polynomial above
4 terms is named polynomial of 4 terms
Naming by degree:
The highest degree (exponent) = 3
Polynomial with degree 3 is called cubic
So we can name the polynomial as cubic
Gym membership is $45.75 a month. How much will the gym membership be for one year? If Sherrie budcets $550 for gym costs, will she have enough?
Since a year has 12 months, we have to multiply the monthly membership cost by 12 to get the cost of a year's memberhsip:
[tex]45.75\times12=549[/tex]This way, the gym membership be for one year would be $549
Therefore, Sherrie would be able to pay for it with the $550 budget
Determine the minimum and maximum value of the following trigonometric function.
f(x)=10sin(2/5x)+5
ANSWER
[tex]\begin{gathered} Minimum=-5 \\ Maximum=15 \end{gathered}[/tex]EXPLANATION
The trigonometric function given is:
[tex]f(x)=10\sin (\frac{2}{5}x)+5[/tex]The minimum value a sine function can take is -1.
This means that the minimum value of the function is:
[tex]\begin{gathered} 10(-1)+5 \\ \Rightarrow-10+5 \\ \Rightarrow-5 \end{gathered}[/tex]The maximum value a sine function can take is 1.
This means that the maximum value of the function is:
[tex]\begin{gathered} 10(1)+5 \\ \Rightarrow10+5 \\ \Rightarrow15 \end{gathered}[/tex]I need the work and the right answer and explain what the mistake he made was
The mistake was the inequalities sign that was changed .The inequality sign is not suppose to be greater than or equal to but it should be less than or equal to.
I don't know how to figure this out. A and B look the same and C and D look the same
The difference between A and B, and C and D is the continuous/discontinuous line.
When the line is discontinuous, it means the values are NOT included. In this case, the sing < or > is used.
When the line is continuous, it means the values ARE included. In this case, the sing ≤ or ≥ is used.
Now, to determine which graphic is the one of our function, we can get the intersections with the y- and x-axis.
• Intersection with y-axis: ,x = 0
[tex]3x+y>4[/tex][tex]3\cdot0+y>4[/tex][tex]y>4[/tex]The intersection in y-axis happens on y > 4.
Intersection with x-axis: y = 0
[tex]3x+0>4[/tex][tex]x>\frac{4}{3}[/tex]The intersection in y-axis happens on x > 4/3.
Answer: C.
A particular color television has a rectangular screen with a 23.5 in. width. It’s height is 18.1 in. What is the length of the diagonal of the screen, to the nearest tenth of an inch? The diagonal of the screen is __ in.(Round to the nearest tenth as needed.)
Given:
A particular color television has a rectangular screen with a 23.5 in. width. It’s height is 18.1 in.
Required:
To find the length of the diagonal of the screen.
Explanation:
Let l be the length of the diagonal of the screen.
From the given data
[tex]\begin{gathered} l=\sqrt{23.5^2+18.1^2} \\ \\ =\sqrt{552.25+327.61} \\ \\ =\sqrt{879.86} \\ \\ =29.6624 \\ \\ l=29.7in \end{gathered}[/tex]Final Answer:
The length of the diagonal of the screen is 29.7in.
Let f(x)=x^2 and g(x)=x-3. Find (f o g)(-5)
Solution
Given that
[tex]\begin{gathered} f(x)=x^2 \\ \\ g(x)=x-3 \\ \\ \Rightarrow(f\circ g)(-5)=f(g(-5)) \\ \\ g(-5)=-5-3=-8 \\ \\ \Rightarrow f(g(-5))=f(-8) \\ \\ f(-8)=(-8)^2=64 \\ \\ \Rightarrow(f\circ g)(-5)=64 \end{gathered}[/tex]i need help with number 17, just the algebraic equation
The graph and equation of a function is given.
It is required to find its y-intercept and zeros using the graph, and then finding these values algebraically.
Using the graph:
Recall that the y-intercept is the point where the graph of the function intersects the y-axis.
From the graph, notice that the graph intersects the y-axis at y=0.
Hence, the y-intercept is y=0.
Recall also that the x-intercepts or zeros is the point where the graph of the function intersects the x-axis.
From the graph, the graph intersects the x-axis at x= -1,0, and 1.5.
Hence, the zeros are x= -1,0, and 1.5.
Find these values algebraically:
To find the y-intercept algebraically, substitute x=0 into the function:
[tex]\begin{gathered} f(x)=2x^3-x^2-3x \\ \text{ Substitute }x=0\text{ into the equation:} \\ \Rightarrow f(0)=2(0)^3-0^2-3(0) \\ \Rightarrow f(0)=0 \end{gathered}[/tex]Hence, the y-intercept is y=0.
To find the zeros, substitute f(x)=0 into the function and solve for x:
[tex]\begin{gathered} 2x^3-x^2-3x=0 \\ \text{ Factor the left-hand side:} \\ \Rightarrow x(2x^2-x-3)=0 \\ \Rightarrow x(2x^2-3x+2x-3)=0 \\ \Rightarrow x[x(2x-3)+1(2x-3)]=0 \\ \Rightarrow x(x+1)(2x-3)=0 \end{gathered}[/tex]Equate each factor to 0
Use the rules of exponents to evaluate and simplify the expression. Type all without negative exponents. Make sure “a”and “b” are both in parentheses
We are given the following expression:
[tex](ab)^{-2}[/tex]First, we will use the following property of exponentials:
[tex](xy)^{-c}=x{}^{-c}y^{-c}[/tex]Applying the property we get:
[tex](ab)^{-2}=(a^{-2})(b^{-2})[/tex]Now, we use the following property of exponentials:
[tex]x^{-c}=\frac{1}{x^c}[/tex]Applying the property we get:
[tex](a^{-2})(b^{-2})=\frac{1}{(a^2)(b^2)}=\frac{1}{(ab)^2}[/tex]Since we can't simplify any further this is the final answer.
Given the graph of a function f. A) Graph f(x) -3B) Graph f(x+4)C) Graph -f(x)See picture of the graph of function f attached
From the given problem, the figure shows the graph of f(x).
Note that translating the graph in a manner of :
[tex]f(x)+c[/tex]will shift the graph c units upward if the sign is positive or c units downward if the sign is negative.
We are looking for the graph of f(x) - 3
Since the sign is negative, we will shift the grahp 3 units downward, the graph will be like this.
As you can see, the orginal graph intersects at the origin (0, 0). The new graph intersects at (0, -3) since we moved or shifted the graph 3 units downward.
Additional :
If f(x) is translated in a manner of f(x+c), the graph will be shifted c units to the left if c is positive and will be shifted c units to the right if c is negative.
If f(x) is transformed in a manner of -f(x), the graph will reflect over the x-axis.
If the original point is (x, y). It will become (x, -y)
Becky has 12 strips of staples. Each strip has 210 staples.The bar diagram represents the total number of staples Becky has.
The total number of staples Becky has is the number of strips times the number of staples per strip:
[tex]12\times210=2520.[/tex]Answer: 2520.
What is the perimeter of a triangle with coordinates A (-1, 5), B (-1, 1), and C (2, 1)?
A. 12 units
B. 6 units
C. 24 units
D. 20 units
Helppp
I'm kinda confused on this question. here it is "if a= 8, b = 4, and c=10 what is (b+c) the answers given to me are22112320and 2560.
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$650, 5%, 1 year
The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.
The simple interest exists 32.5.
What is meant by simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.
Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay additional interest on the interest that has already accrued.
Let the equation be I = Prt
where, P be the principal amount = $650
r be the interest rate = 5%
t be the time = 1 year
substitute the values in the above equation, we get
I = 650 × 0.05 × 1
I = 32.5
Therefore, the simple interest rate exists 32.5.
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You deposit $400 in an account that earns simple interest at an annual rate of 5%.
a. Write and graph a function that represents the amount (in dollars) of interest
earned after t years. Interpret the slope of the graph.
b. Is there enough money in the account after 4 years to buy a drum set that costs
$500?
The answer of the given question based on simple interest is (a) The graph of this function is a straight line with a slope of 20. (b) There is not enough money in the account after 4 years to buy the drum set.
What is Simple interest?Simple interest is type of interest that is calculated on the principal amount (initial amount) of loan or investment. It is fixed percentage of principal, and does not take into account any interest earned or accrued over time.
a. The formula for simple interest is I = Prt, In this case, P = 400 and r = 0.05, so the function for the amount of interest earned after t years is:
I(t) = 400 * 0.05 * t = 20t
To graph this function, we can plot points for different values of t and connect them with a line. For example:
When t = 0, I(t) = 0
When t = 1, I(t) = 20
When t = 2, I(t) = 40
When t = 3, I(t) = 60
When t = 4, I(t) = 80
The graph of this function is a straight line with a slope of 20. The slope represents the rate of change of the interest earned per year. In this case, the slope is positive, which means that the interest earned increases linearly with time.
b. After 4 years, the interest earned is:
I(4) = 20 * 4 = 80
The total amount in account after 4 years will be:
A = P + I = 400 + 80 = 480
Since the cost of the drum set is $500, there is not enough money in the account after 4 years to buy the drum set.
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Took a pic for better quality, Can you answer as quick as possible, this is due at 9:00, Thanks
The scatter plot represents a group of points that is clearly decreasing at a steady rate, this means that the equation that represents them is a linear equation with negative inclination. A linear equation is given by the following formulla:
[tex]y=m\cdot x+b[/tex]Where m is the inclination and b is the y-intercept. Since the inclination must be negative, the only possible option is A.
Click on ,begin emphasis,all,end emphasis, the factors of the polynomial.
Let's assume that we have a polynomial p(x) with a leading coefficient a and zeros are labelled with letters r. Then its factors have the form:
[tex](x-r)[/tex]Remember that the zeros of a function are the x-values of its x-intercepts i.e. the points where it meets with the x-axis. By looking at the picture you'll notice that the graph of the function intercepts the x-axis at three x values: -3, -1 and 3. Then the factors of this polynomial are:
[tex]\begin{gathered} (x-(-3))=(x+3) \\ (x-(-1))=(x+1) \\ (x-3) \end{gathered}[/tex]AnswerThen the correct options are (x+3), (x-3) and (x+1).