Factor the polynomial:
–x3 – 3x2 – 4x
A. –x(x2 + 3x + 4)
B. –x(–x2 – 3x – 4)
C. –x(x2 + 3x – 4x)
D. x(x2 + 3x + 4
Answer:
D. [tex]-x(x^2+3x+4)[/tex]
Step-by-step explanation:
[tex]-x^3-3x^2-4x = -(x^3+3x^2+4x)= -x(x^2+3x+4)[/tex]
The rectangular prism shown has a volume of 140 m3. This prism is enlarged using a scale factor of 2. What is the volume of the enlarged prism?
Rewrite with only sin x and cos x.
sin 2x - cos 2x
Select one:
a. 2 sin2x - 2 sin x cos x + 1
b. 2 sin x
c. 2 sin2x + 2 sin x cos x - 1
What is the equation of a circle whose center is (4 6) and whose radius is 4 cm?
Use the intercept form to find the equation of the line with the given intercepts. the intercept form of the equation of a line with intercepts (a, 0) and (0,
b.is
A recipe for fruit punch calls for cranberry juice and sparkling water. The ratio of cups of cranberry juice to cups of sparkling water is 6:24. According to the recipe, how many cups of cranberry juice are needed for every 1.5 cup of sparkling water? Write your answer as a fraction in simplest form.
which of the following parametric equations are equivalent to the polar equation r=3 cos theta
Answer:
B
Step-by-step explanation:
The difference of a number and 8 is the same as 34 less the number. find the number.
Ron and kathy are ticket sellers at their class play. ron handles student tickets that sell for $2.00 each, and kathy handles adult tickets that sell for $4.50 each. if their total income for 364 tickets was $1,175.50, how many tickets did ron sell?
What is the perimeter of rectangle that is 92 feet long and 46 feet wide?
The perimeter of a rectangle that is 92 feet long and 46 feet wide is calculated using the formula P = 2l + 2w, resulting in a perimeter of 276 feet.
Explanation:The question asks for the perimeter of a rectangle with specific dimensions. To calculate the perimeter of a rectangle, we use the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. Given that the rectangle is 92 feet long and 46 feet wide, we substitute these values into the formula to get the perimeter: P = 2(92) + 2(46) = 184 + 92 = 276 feet.
Therefore, the perimeter of the rectangle is 276 feet.
True or False: A rectangular equation that is not a function may be a function in the polar coordinate system
The given statement is true.
The given statement is a rectangular equation that is not a function that may be a function in the polar coordinate system.
What is a rectangular equation?A rectangular equation or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on a regular Cartesian plane.
Polar equations indeed can describe graphs as functions, even when the equations in the rectangular coordinate system are not one of the functions. Polar equations can be graphed accurately using hands by using the Polar Coordinate System.
Therefore, the given statement is true.
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HELP!! PLEASE, 19 POINTS!! The equation (X squared + Y squared - 6x + 4y = d) describes a circle.
1. Determine the Y-coordinate of the center of the circle. (Hint.... Complete the square)
2. The radius of the circle is 6 units. What is the value of "d" in the given equation?
Rewrite as perfect squares
(x-3)²+(y+2)²=d+13The football team is running a jackpot in which the prize will start at $2500 for the first game, and then increase $500 each game if there is no winner. If there are no winners, find the value of the jackpot at the end of their 16-game season.
The value of the jackpot at the end of the 16-game season will be $10,000.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The jackpot prize starts at $2500 for the first game and increases by $500 for each game if there is no winner.
For the second game,
The prize will be $2500 + $500 = $3000.
For the third game,
The prize will be $3000 + $500 = $3500.
Continuing in this pattern, the prize for the 16th game will be:
$2500 + ($500 × 15)
= $2500 + $7500
= $10000
Therefore,
The value of the jackpot at the end of the 16-game season will be $10,000.
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exactly 2/5 of the unversity students live off campus. Of those students, 3/10 of them live at home. what fraction of the univesity's students live at home? Reduce your answer to lowest terms
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y)^6 are _____.
Answer:
1, 6, 15, 20, 15, 6, 1
Step-by-step explanation:
Before simplifying, how many terms are there in the expression -2x + 8 - 6y + 8x + 11?
Final answer:
The expression contains five terms before simplifying. We simplify by combining like terms to get a simplified result of 6x - 6y + 19 and then confirm the simplification by checking if the answer is reasonable.
Explanation:
The student has asked how many terms are in the expression -2x + 8 - 6y + 8x + 11 before simplifying. A term is a single mathematical expression that may consist of constants and/or variables, sometimes multiplied together but not added or subtracted to another term. In the given expression, there are a total of five terms: -2x, +8, -6y, +8x, and +11.
To simplify the algebra, we can combine like terms. Like terms are terms that contain the same variables to the same power. Here, -2x and +8x are like terms. When we combine them, we get 6x. The constants +8 and +11 are also like terms and can be added together to get +19. So, the simplified expression is 6x - 6y + 19.
Finally, we check our answer to ensure it is reasonable. Combining like terms -2x and +8x should result in +6x, and adding constants +8 and +11 should give us +19, which is our simplified result, confirming the reasonableness of our simplification.
What are the foci of the hyperbola with equation 5y^2-4x^2=20?
Which of these is equal to 50 + 21? 20 + 21 60 - 30 20 + 11 60 - 61
50 + 21 is equal to d. 11+ 60.
What is simplificarion?Simplification or simplifying fractions means simplifying a complicated mathematical expression to get a single or direct solution.
the value of 50 + 21 = 71 is option C.
a. 20 + 21
b. 60 - 30
c. 20 - 61
d. 11+ 60
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Final answer:
None of the provided options (20 + 21, 60 - 30, 20 + 11, 60 - 61) are equal to the sum of 50 + 21, which is 71. Each option computes to a different number, all of which are not equal to 71.
Explanation:
The question asks which of the given options is equal to the sum of 50 + 21. To solve this, we can compute each of the options to see which one equals 71, since 50 + 21 equals 71. Let's calculate:
20 + 21 = 41, which is not equal to 71.60 - 30 = 30, which is also not equal to 71.20 + 11 = 31, again not equal to 71.60 - 61 equals -1, which is not equal to 71.None of the provided options are equal to the sum of 50 + 21. The correct answer should be a number that when calculated results in 71, but none of these options do.
Last Monday, Luis's mother gave birth to twins and named them Ashley and Umaima. When they were first born, Ashley weighed 2.82.8 2.8 2, point, 8 kilograms , and Umaima weighed 2.52.5 2.5 2, point, 5 kilograms and was 4949 49 49 centimeters tall. How much did the babies weigh in total?
The angle of elevation to the top of a building in chicago is found to be 11◦ from the ground at a distance of 1000 feet from the base of the building. find the height of the building.
Find the exact values of cos (3pi/4radians) and sin (3pi/4 Radians)
If you are doing on apex the answer is √2/2
Geo: Topic 3- Parallelograms 1pt A rhombus is a parallelogram with all four sides of equal length. One way to determine if a given parallelogram is a rhombus is to test whether its diagonals are perpendicular. The vertices of a parallelogram are M(−1,2), N(9,2), P(3,−6), and Q(−7,−6). Determine whether the parallelogram is a rhombus by checking to see if the diagonals are perpendicular. What is the slope of MP¯¯¯¯¯¯? What is the slope of NQ¯¯¯¯¯¯? Are diagonals MP¯¯¯¯¯¯ and NQ¯¯¯¯¯¯ perpendicular? Is the parallelogram a rhombus?
The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency
A gym has an inclined treadmill for joggers, as shown in the figure.
What is θ, the treadmill's angle of elevation?
Round your answer to the nearest degree.
A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. a group of eight people spent a total of $86 on tickets to a movie. how many adults and how many children were in the group? write a system of linear equations based on the description. use x to represent the number of adults and y to represent the number of children.
for v=4i-8j, find unit vector u in the direction of v
a. u= 1/3i - 2/3j
b. i-j
c. sqrt3/3 i - 2 sqrt3/3 j
d. sqrt5/5 i - 2 sqrt5/5 j
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 miles above sea level. The radius of the Earth is 3959 miles. What is the climber's distance to the horizon?
When darcy's school bus travels at 30 miles per hour, it gets from her home to school in 12 minutes. what is the speed of darcy's bus if it makes the same trip in 18 minutes?
A recipe for cake calls for 5.25 deciliters of milk. How many liters of milk are needed for the cake?
What is the simplified form of sqrt 400x100? 200x50 200x10 20x50 20x50
Answer: The required simplified form is 20 × 10.
Step-by-step explanation: We are given to find the simplified form of the following radical expression :
[tex]E=\sqrt{400\times 100}.[/tex]
We will be using the following property of radicals :
[tex](i)~\sqrt{x}=x^\frac{1}{2}\\\\(ii)~\sqrt{a\times b}=\sqrt a\times\sqrt b.[/tex]
Therefore, we have
[tex]E\\\\=\sqrt{400\times 100}\\\\=\sqrt{400}\times\sqrt{100}\\\\=\sqrt{20^2}\times\sqrt{10^2}\\\\=((20)^2)^\frac{1}{2}\times(10^2)^\frac{1}{2}\\\\=20^{2\times\frac{1}{2}}\times(10)^{2\times\frac{1}{2}}\\\\=20\times10.[/tex]
Thus, the required simplified form is 20 × 10.