Answer: $180 for 4 shirts and 360 for 8 shirts (this includes the 10% discount for both answers)
Step-by-step explanation: First, we have to multiply 50 by 4, since each shirt is $50 and there are 4 shirts to purchase. The answer is $200, but you have a 10% discount to consider. 10% of 200 is 20, so subtract $20 from 200, and you get $180 for 4 shirts. To find out the amount of money it costs to pay for 8 shirts, you can simply add 180 and 180 together and it'll give you 360. This way, the 10% discount will not be left out.
Let me know if this is right! :)
Geometry find length of third side
Answer:
[tex]\sqrt{34}[/tex]
Step-by-step explanation:
Using the Pythagorean theorem, the length of the third side is [tex]\sqrt{5^2+3^2}=\sqrt{34}[/tex].
Answer:
[tex]\sqrt{34} = c[/tex]
Step-by-step explanation:
Using the Pythagorean Theorem
[tex]a^{2} + b^{2} = c^{2} \\3^{2} + 5^{2} = c^{2} \\34 = c^{2} \\\sqrt{34} = c[/tex]
Hence , the length of the third side is [tex]\sqrt{34}[/tex]
The function, "f" is defined by the following rule. f(x)=3x-1
Answer:
i don't know
Step-by-step explanation:
A number is increased by 2/5 to 49. What was the number?
Answer: 35
Step-by-step explanation:
35*140%=49
standard form (-7,3) and (1,2)
Answer:
(-14/6) and (2/4) are standard form
x/6 = 11/12 need to solve the equation for x helppppp
Answer: x= [tex]5\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} = \frac{11}{12} \\x(12)=11(6)\\12x=66\\\frac{12x}{12} =\frac{66}{12} \\x=\frac{11}{2} \\x=5\frac{1}{2}[/tex]
(you should cross-multiply the numbers)
(if the numerator is greater than the denominator then you
should leave the answer as a mixed fraction)
Answer:
x= 11/2 or 5.5
Step-by-step explanation:
x/6 = 11/12
LCM = 12
=12 × x/6 = 12 × 11/12
=2(x) = 11 Note. 6 goes into 12 "2" and 12 goes into 12 "1"
=2x = 11
=2x/2 11/2
x = 11/2 or 5.5.
Amy is having her birthday party at a roller skating rink. The rink charges a fee of $100 plus $16 per person. A birthday person is not charged. If Amy wants to spend at most $350 for the party, how many people can she invite to her party
Amy can invite 15 people to her party since $100 is the fee plus $16 per person, meaning $340 would be spent on the guests and the total cost would be $340.
To calculate the number of people that can be invited, we need to set up an equation. Let x represent the number of people attending the party. We know that the cost is $100 plus $16 per person, so we can set up the equation: (100 + 16x) ≤ 350.
We then subtract 100 from both sides to get 16x = 250. Finally, we divide both sides by 16 to get x = 15.5. Since we can't have a fraction of a person, we round down to 16, and then add the birthday person, giving us a total of 16 people.
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Value of x when 48= 3x
Answer:
Step-by-step explanation:
x = 16
Answer:
x = 16
Step-by-step explanation:
If 3 · 16 = 48 Then x = 16
Find the slope of a line perpendicular to the line whose equation is x - 6y =24. fully simplfy your answer
Answer:
Step-by-step explanation:
The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. To find the slope of the line x - 6y = 24, we can rearrange the equation to the form y = (1/6)x + 4. So the slope of the line is 1/6.
The slope of a line perpendicular to this line would be the negative reciprocal of 1/6 which is -6
This morning, Lashonda's car had 13.01 gallons of fuel. Now, 2.6 gallons are left. How much fuel did Lashonda use?
Answer:
10.41
Step-by-step explanation:
Given ,
Lashonda's car had 13.01 gallons of fuel.2.6 gallons are left now.To Find : Number of Fuel used
Let us take the Number of fuel used as 'x'
13.01 = x + 2.60
x = 13.01 - 2.60
x = 10.41
Hence, the fuel used by Lashonda is 10.41
Solve for x. The answer to each problem will match a letter that will allow you to figure out the joke. 1. 5x – 7 = 4x + 3
2. 6 + 2x = 7x – 9
3. 8x + 1 = -8 – x
4. -5 + 12x = 18x + 7
5. -4x + 3 = 5x – 13 - x
The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1. 5x – 7 = 4x + 3.
To solve for x, we can add 7 to both sides of the equation and subtract 4x from both sides:
5x - 7 + 7 = 4x + 3 + 7
5x = 4x + 10
x = 10
2. 6 + 2x = 7x - 9
To solve for x, we can add 9 to both sides of the equation, subtract 6 from both sides and divide both sides by -1:
6 + 2x + 9 = 7x - 9 + 9
2x = -3
x = -3/2
3. 8x + 1 = -8 - x
To solve for x, we can add x to both sides of the equation and add 8 to both sides:
8x + 1 + x = -8 - x + x + 8
9x + 1 = 0
x = -1/9
4. -5 + 12x = 18x + 7
To solve for x, we can subtract 12x from both sides of the equation and add 5 to both sides:
-5 + 12x - 12x = 18x + 7 - 12x
-5 = 6x + 7
x = -6
5. -4x + 3 = 5x - 13 - x
To solve for x, we can add x to both sides of the equation, subtract 3 from both sides and divide both sides by -1:
-4x + 3 + x = 5x - 13 - x + x + 3
-3x = -10
x = 10/3
The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3
That gives you the letters "joke"
Therefore, The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1. 5x – 7 = 4x + 3.
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A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorator’s fee was 12% of the purchases, not including the tax.
Part A
Write an equation in the form of y=kx, using x to represent the decorator’s fee. Then use the equation to calculate the amount of that fee.
y=____x
$__
Write an equation in the form of y=kx to represent the tax. Then use the equation to calculate the amount of tax.
Part B
y=k___x
$___
Part C
What is the total cost that the family paid?
$___
Part A (decorator’s fee)
y = 0.12 x 1580
$189.6
Part B(tax)
y = 0.045 x 1580
$71.1
Part C(Total amount spent)
$1,580 + $189.6 + $71.1
$1840.7
What is a Linear Equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Part A (the decorator’s fee)
12% of purchases = 0.12
y = 0.12 x 1580
Decorator's fee = $189.6
Part B (the tax)
4.5% Tax = 0.045
y = 0.045 x 1580
Tax = $71.1
Part C (Total amount spent)
Purchasing fee + Decorators fee + Tax
= $1,580 + $189.6 + $71.1
$1840.7
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if f and g are differentiable and f(x) ≥ g(x) for a < x < b, then f '(x) ≥ g'(x) for a < x < b.
This statement is not always true. It's only true if f(x) and g(x) are both non-decreasing functions.
If f(x) and g(x) are non-decreasing functions, the inequality f(x) ≥ g(x) for a < x < b holds, meaning that the values of f(x) are always greater than or equal to the values of g(x) for x within the interval [a,b]. Since the derivative of a non-decreasing function is non-negative, it follows that f'(x) ≥ 0 and g'(x) ≥ 0 for all x in the interval [a,b], which implies f '(x) ≥ g'(x) for a < x < b.
However, if f(x) and g(x) are not non-decreasing functions, this statement is not true. The inequality f(x) ≥ g(x) for a < x < b does not necessarily imply that the derivatives f '(x) and g'(x) will also be greater than or equal for all x in the interval [a,b].
Therefore, This statement is not always true. It's only true if f(x) and g(x) are both non-decreasing functions.
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A point is chosen at random in the circle.
What percent of the time will the point be in
the square?
Round to the nearest tenth of a percent.
1 in.
[ ? ]%
Enter
63.64% is the percentage of the area of the square.
What is square?The square is a 4 sided figure, each side of the square is equal and make a right angle.
The area of square having sided a unit can be given by a² square unit.
Given that,
The radius of the circle r = 1 in.
The area of the circle = π r² = π (1)² = π = 22/7 inch.
Also the area of square = 1/2 x (diameter)²
The diameter of the square = 2r = 2
Area = 1/2(2)² = 2 square in.
The required percentage = (2 / (22/7)) x 100 = (7 / 11) x 100 = 700 / 11 = 63.6363.
The percentage of the area of the square is 63.64%.
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A recipe calls for 4 boxes of rice to serve 13 people. If you want to serve 39 people, what should you do?.
A recipe calls for 4 boxes of rice to serve 13 people. If you want to serve 39 people, you need to call 12 boxes of rice.
As A recipe calls for 4 boxes of rice to serve 13 people.
It means that 4 boxes are sufficient to serve 13 people.
So, from above,
We can conclude that,
In 2 boxes, we can serve 6(1/2) people,
When we double the number of boxes we can serve the double person.
So, we can come to the conclusion,
In 8 boxes we can serve (13*2 = 26) people.
As we need to serve 39 people,
So, we order 8 + 4 = 12 boxes.
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You should use 12 number of boxes of rice to serve 39 people.
1. The recipe calls for 4 boxes of rice to serve 13 people
2. To serve 39 people, you need to multiply the amount of boxes of rice by 3
3. 4 boxes of rice * 3 = 12 boxes of rice
4. Therefore, you should use 12 boxes of rice to serve 39 people.
A recipe calls for 4 boxes of rice to serve 13 people, but if you want to serve 39 people, you need to multiply the amount of boxes of rice by 3. This means that 4 boxes of rice * 3 = 12 boxes of rice. Therefore, you should use 12 boxes of rice to serve 39 people, which is three times the amount that the recipe calls for. To serve even more people, you can simply keep multiplying the amount of boxes of rice by the number of people you want to serve. For example, to serve 100 people, you would need to use 40 number of boxes of rice (4 boxes of rice * 10 = 40 boxes of rice). Knowing this, you can easily adjust the amount of boxes of rice needed to serve any number of people.
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Help pleaseeee thanks
Answer:
I'd say A, Adjacent
Step-by-step explanation:
I think its A because adjacent means together/along with, and these angles are next to each other.
A construction crew was made up of 12 men and the rest women. If 40% of the crew were men, how many women were in the crew
Answer:
Step-by-step explanation:
12 is 40% of what number?
30.
what is 60% of 30?
18
boom
A local charity is selling seats to a baseball game. Seats cost $32 each, and snacks cost an additional $8
each. The charity needs to raise $640 to consider this event a success.
Use the graph to approximate how many snacks the charity must sell if 10 seats are sold.
32 s +8y=640
By using the graph, the amount of snacks that the charity must sell if 10 seats are sold is equal to 40 snacks.
How to write and solve the equation graphically?In order to graphically solve the equation, we would write an equation that models the situation by assigning variables to the cost of seats and cost of snacks, and then translate the word problem into algebraic equation as follows:
Let the variable s represent the cost of seats.Let the variable y represent the cost of snacks.Since the seats cost $32 each and snacks cost an additional $8 each while the charity needs to raise $640, an equation that models the situation is given by;
32s + 8y = 640
By critically observing the graph, the charity must sell 40 snacks if 10 seats are sold.
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19. MP Identify Structure Write a fraction that is equivalent to a
terminating decimal between 0.5 and 0.75.
D. MP Persevere with Problems Fractions in simplest form that have
denominators of 2, 4, 8, 16, and 32 produce terminating decimals. Fractions
with denominators of 6, 12, 18, and 24 produce repeating decimals. What
causes the difference? Explain.
0.625 is the terminating decimal between 0.5 and 0.75.
What is Fraction?A fraction represents a part of a whole.
Terminating decimal between 0.5 and 0.75
we can find the mean of these two numbers and if the mean is terminating decimal then this will be the required answer.
0.5+0.75/2=0.625
Fractions having a denominator which can be factored in terms of 2 or 5 (or both) will terminate completely or will have terminating decimals.
But the fractions whose denominator can not be factored only in terms of 2, 5 or both, will repeat or will have repeating decimals..
As 2=2¹ , 4= 2², 8=2³ , 16=2⁴
Here, 2,4,8,16, and 32 are all powers of 2 and fractions with these denominators will have terminating decimal expansion.
As, 6=2×3, 12=3×4, 18=6×3, 24=6×4
But 6,12, 18, and 24 can'not be factored only in terms of 2 or 5 or both. Therefore, fractions with these denominators will have repeating decimals.
Hence, Fractions in simplest form that have denominators of 2, 4, 8, 16, and 32 produce terminating decimals. Fractions with denominators of 6, 12, 18, and 24 produce repeating decimals
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Lily has 15% more books than Jessica. If Lily has 150 more books than Jessica, how many books do they have together?
(pls help quickly....also pls include the steps cuz I have no idea how this works...)
Answer: 2150 books
Step-by-step explanation: Let the number of books Jessica has be the variable x. Percentage works the same way as multiplying fractions, for example 19% of "something" is 19/100 times that "something". If Jessica has x books, and Lily has 15% more books (that is, 115% Jessica's books), at the same time Lily has 150 more books, it's safe to assume that 15% of x is 150, and so, 15x/100 = 150, if so, 15x = 15000, and x = 1000. Now that Jessica has 1000 books, and Lily has Jessica's books and 150 more (or 1000 + 150), the problem sums up to (1000 + 150 + 1000) = 2150.
(−∞,5]ก(−3, ∞)
simplify the following compound intervals
The solution of the interval will be;
⇒ (- 3, 5]
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The interval is,
⇒ (- ∞, 5] ∩ (- 3, ∞)
Now,
Since, The interval is,
⇒ (- ∞, 5] ∩ (- 3, ∞)
Hence, The solution of the interval is,
⇒ x ∈ (- ∞, 5] and x ∈ (- 3, ∞)
⇒ x ∈ (- 3, 5]
Thus, The solution of the interval = (- 3, 5]
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Does the graph represent a non-proportional function? How do you know?
The graph attached represents a non proportional function
When does linear graphs give a proportional relationship?Like the name goes, a Linear graph is a straight line graph that represents a linear relationship with the equation of the form
y = mx + c
A relationship is proportionate if its graph is a line or ray that passes through the origin. in this case c = 0
It is not proportional if the line or graph does not go through the origin.
Additionally, if anything is not linear, it is not proportional.
The attached graph passed through point (0, 1) which is not the origin (0, 0) hence the graph is not a proportional relationship
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Bright Blocks toy company sells sets of building blocks. The Beginner Builder set has 40 large blocks and 25 small blocks. The Mega Maker set has the same ratio of large blocks to small blocks, but it comes with 100 small blocks.
How many large blocks are in the Mega Maker set?
There are approximately 63 large blocks in the Mega Maker set.
What is a Ratio?
Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. In ratios the dividend is called the 'antecedent' and the divisor is called the 'consequent'.
The ratio of large to small is 40 to 25
To find the ratio of the big block for the the mega maker will be;
40 : 25 in its simplest form 8 : 5
100 : X
X = (5 x 100) / 8
X = 500 / 8
X = 62.5
62.5 is not a whole number so it can be approximated to the nearest whole number which is 63.
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Answer: 160
Step-by-step explanation:
Explain the error in the work and how you might prevent it.
The error is [tex]12x^2 - 14x = - 26x^2[/tex] because 12x² and 14x are unlike terms, so we can not add them
To prevent it the dividend must be written as [tex]6x^3 + 0x^2 - 14x + 1[/tex]
Now, According to the question:
In the division, you must arrange the dividend according to the greatest power of the variable, and put 0 as a coefficient of the missing term to avoid adding, unlike terms.
Example:
If the dividend is [tex]3x^3 - 2x + 5[/tex], then you must write it as [tex]3x^3 + 0x^2 - 2x + 5[/tex]
Let us solve our question
∵ The dividend is [tex]6x^3[/tex] + 1 - 14x
→ You must arrange it from the greatest power of x
∴ The dividend is [tex]6x^3[/tex] - 14x + 1
∵ The term of x² is missing
→ Write it in the dividend with a coefficient of 0
∴ The dividend is [tex]6x^3 + 0x^2 - 14x + 1[/tex]
The error is the adding of unlike terms
∵ [tex]6x^3[/tex]- 14x + 1 ÷ 3x + 6 = 2x² and [ [tex]6x^3[/tex] - 14x + 1 - [tex]6x^3[/tex] - ( [tex]6x^3[/tex] + [tex]12x^2[/tex])]
∵[tex][6x^3 - 14x + 1 - 6x^3 - (6x^3 + 12x^2)] = 6x^3 - 14x + 1 - 6x^3 - 12x^2[/tex]
∵ [tex]6x^3 - 14x + 1 - 6x^3 - 12x^2 = 0 - 12x^2 - 14x + 1[/tex]
∵[tex]0 - 12x^2 - 14x + 1 = -26x^2 + 1[/tex] ⇒ error
∴ The error is -12x² - 14x = - 26x² because 12x² and 14x are unlike terms,
so we can not add them
→ To prevent it, write 0 as a coefficient of the missing term
∵ The missing term is the term of x²
∴ Add to the dividend the term 0x²
∴ The dividend must be written as [tex]6x^3 + 0x^2 - 14x + 1[/tex]
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if xy + 9ey = 9e, find the value of y'' at the point where x = 0.
The value of y'' at the point where x=0 is[tex]9 e y^{\prime \prime}=\frac{1}{9 e}$[/tex] ([tex]e^{2}[/tex])
Differentiation is one of the two important concepts apart from integration. Differentiation is a method of finding the derivative of a function. Differentiation is a process, in maths, where we find the instantaneous rate of change in function based on one of its variables. The most common example is the rate change of displacement with respect to time, called velocity. The opposite of finding a derivative is anti-differentiation.
If x is a variable and y is another variable, then the rate of change of x with respect to y is given by dy/dx. This is the general expression of derivative of a function and is represented as f'(x) = dy/dx, where y = f(x) is any function.
[tex]$x y+9 e^y=9 e$[/tex]
at [tex]x =0[/tex]
[tex]$9 e^y=9 e$[/tex]
[tex]$y=1$[/tex]
[tex]$w \cdot r . t x$[/tex]
[tex]$\left(y+x y^{\prime}\right)+9 e^y y^{\prime}=0[/tex]
at [tex]x=0[/tex]
[tex]$1+9 e y^{\prime}=0$[/tex]
[tex]$y^{\prime}=-\frac{1}{9 e}$[/tex]
[tex]$--------$[/tex]
[tex]$\left(y+x y^{\prime}\right)+9 e^y y^{\prime}=0$[/tex]
[tex]y^{\prime}+x y^{\prime \prime}+y^{\prime}+9 e^y y^{\prime \prime}+9 e^y\left(y^{\prime}\right)^2=0[/tex]
at [tex]x=0[/tex]
[tex]2\left(-\frac{1}{9 e}\right)+9 e y^{\prime \prime}+9 e\left(-\frac{1}{9 e}\right)^2=0[/tex]
[tex]-\frac{2}{9 e}+9 e y^{\prime \prime}+\frac{1}{9 e}=0[/tex]
[tex]9 e y^{\prime \prime}=\frac{1}{9 e}$[/tex][tex]\left(e^2)\right[/tex]
Therefore, the value of y'' at point where x=0 is [tex]9 e y^{\prime \prime}=\frac{1}{9 e}$[/tex] ([tex]e^{2}[/tex])
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The amount of time it takes a student from school A to do a math activity follows the Normal distribution with a mean of 25 minutes and a standard deviation of 5 minutes. Students at school B complete a math activity with a mean time of 20 minutes and have a standard deviation of 8 minutes.
a.) If we take a random student from School A and a random student from School B. What is the expected difference in their minutes?
b.) What is the standard deviation of the difference of their minutes?
What is the end behavior of:
1. [tex]\sqrt{6x}[/tex]
2. [tex]\sqrt{x-5}-6[/tex]
3. [tex]-3\sqrt{x+3}+7[/tex]
The end behavior of each function is defined as follows:
1. [tex]\sqrt{6x}[/tex]: as x -> ∞, f(x) -> ∞.
2. [tex]\sqrt{x - 5} - 6[/tex]: as x -> ∞, f(x) -> ∞.
3. [tex]-3\sqrt{x + 3} + 7[/tex]: as x -> ∞, f(x) -> -∞.
How to obtain the end behavior of the functions?The end behavior of a function is given by the limit of the function is the input x goes to either negative infinity or positive infinity.
The functions in this problem are all variations of the square root function, which is defined only for non-negative numbers, and thus only the limit when x goes to infinity has to be considered.
As x goes to infinity, the square root goes to infinity, which already define the end behavior for items 1 and 2.
For item 3, the negative leading coefficient means that the function is reflected over the x-axis, assuming a negative value, and thus the end behavior is that the function goes to negative infinity.
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determine the average rate of change in concentration of b from t=0 s to t=282 s.
The average rate of change in concentration of B from t=0 s to t=282 s is equals to the 0.00440 M/s.
Average rate of change in concentration is defined as the change in concentration divided by change in time , i.e , ∆c/∆t. Since we have provide the concentrations of reactant (A), we can determine the average change in A first. In first observation, Change in [A] = 0.410 - 0.720 M = - 0.310 M
Change in time = 141 s - 0 s = 141 s
rate of Change in concentration
= -0.310/141 = - 0.00220 M/s
In second observation, rate of change in concentration A =(0.100 - 0.410)/(282 - 141)
= - 0.310/141 = - 0.00220 M/s
Average Rate = - 0.310 M / 141s
= - 0.00220 M/s
here, negative sign indicating the [A] is decreasing over time.
To determine the average rate of change of B, we use the stoichiometry of the equation, A⟶2B
For every A that is used, 2 B's are produced (product). So, average rate of change of B = 2 x 0.00220
= +0.00440 M/s
(positive sign means B is being formed).
So, required average rate of change is 0.00440 M/s.
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Complete question:
determine the average rate of change in concentration of b from t=0 s to t=282 s. A⟶2B
Time (s). Concentration of A (M)
0. 0.720
141. 0.410
282. 0.100
Order the set of numbers (2.2, 2, 1/5, 2.25, v5) from greatest to least.
Answer:
2.25, v5, 2.2, 2 1/5, 2
Step-by-step explanation:
v5 = 2.24
Please help I can't figure it out
Answer:
quadrilateral, rhombus i think
Step-by-step explanation:
24.
Select all polynomials that have a zero located at
(4, 0).
A. fa
B. f(x) = (2x - 8) (x + 5)
C. f(x) = 4x(x - 3)(x - 1)
D. f(x) = (x − 4)(x − 3)(x + 1)
E. f(x) = 2x(4- x)(x + 5)(3x - 4)
Answer:
B
D
E
The first choice A appears to be a typo, so I can't comment on that
Step-by-step explanation:
Substitute x = 4 in each of the polynomials and see which ones end up with a value of 0. Since each of the polynomials is a multiplicative of expressions if any one of the individual expressions is 0 then the whole expression becomes 0
A. Unknown
B. 2x - 8 = 2 · 4 - 8 = 8 - 8 = 0. So this has a zero at (4,0)
C None of the individual expressions will result in 0. So not a correct choice
D x - 4 = 4 - 4 = 0 So this is a correct choice
E. In this case we have a 4-x term which is 4- 4 = 0; so correct choice
