The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
How to determine the quotient?The quotient expression is given as:
(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)
Factor the dividend of the quotient expression
(x² + x - 3)(x² - x + 1) ÷ (x² + x - 3)
Cancel out the common factors
x² - x + 1
The above means that:
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
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Tierra is making steps for a doll houseshe has cut a piece of wood that measures 1.5 centimeters wide and 30 centimeters longeach step will measure 15 millimeters by 4 millimetersshe will make 21 steps for her doll housewhich are the dimensions of the wood that remains after tierra finishes making the 21 steps?
The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
How to determine the remaining dimensions?The given parameters are:
Wood = 1.5 cm by 30 cm
Each cut = .15 mm by 4 mm
Steps = 21
The remaining dimension is calculated as:
Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm
Express mm as cm
Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm
Evaluate the difference
Remaining = 1.185 cm by 21.6 cm
Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
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Find the perimeter of the polygon round your answer to the nearest tenth.
Answers
A 37
B 38
C 39
D 40
My question is the if the app well it be good for me or not and if the awers the this is app it give to me are they are good of not??????????? but Thx for all and for the time be here workind thank very much... ;\ LO VE THIS APP THX TO ALLL YOU WORK...
sounds nice? I'm responding to just answer a question
Tony walks 1/3 of a mile to school each day. He also walks home from school. How many miles will he have walked in one five-day school week?
Answer:
3 1/3 miles per five day weekSolve for x. Round your answer to the nearest tenth if necessary.
Answer: 15.9
Step-by-step explanation:
2. Triangle EFG is a sketch of a triangular community garden that has an area of 47.1 square feet.
Trigonometric area formula: Area = 1/2 a b sin(C)
To the nearest foot, what amount of fencing is needed to surround the
perimeter of the flower bed?
G E F E= 45 degrees EF=12ft F=62 degrees
Answer:
32ft
Step-by-step explanation:
Let me know if you have any questions ! (or my sketch is different)
everything was rounded to the nearest foot and due to this the new area is 49.5...
Choose the equation for the relationship shown in the graph.
A) y = x + 50
B) y = x – 50
C) y = 50 - x
D) x = 50 - y
Answer:
B) y = x - 50
Step-by-step explanation:
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rashanda claims that she plays roughly 30 hours of golf per week she played 3 hours on monday 9 hours total on tuesday through thursday and 15 hours total over the next five days rashanda plays at a steady rate explain why her claim is or is not accurate
Answer:
Not accurate
Step-by-step explanation:
3+9+9=21
Interior and Exterior Triangle Angles (0/5)
Please full explanation
I will mark brainlist to whoever answers first
Answer:
∠R = 69Step-by-step explanation:
Angle sum propertySum of all angles of triangle = 180
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x -11 - 3 + 18 = 180
Combine like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
∠R = 5x - 11
= 5*16 - 11
= 80 - 11
= 69
Apply angle sum property
5x-11+3x-3+3x+18=18011x+4=18011x=176x=16m<R
5(16)-1180-1169°simplify fully the following :
2√3 x 3√8
Answer:
29.3938769134
Step-by-step explanation:
Answer:
[tex]\sf 12\sqrt{6}[/tex]
“will give brainliest”
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 8, 0. The vertex is at 4, 270.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answer:
Part A: The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.
Part B: From the interval [1,4], the average rate of change is 50.625, which means that for every $1 increase in the price of erasers, the profit goes up by $50.625.
Part C:
The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.
Step-by-step explanation:
The equation of this parabola is [tex]f(x) = -16.875(x-4)^2 + 270[/tex].
Part A:
The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.
Part B:
To find the average rate, we can use the slope formula, but first, we must find the y-values at each given x-value. We can plug in 1 and 4. [tex]f(1) = -16.875(1-4)^2 + 270 = 118.125[/tex]. We know that at x = 4, the y-value is 270 because the vertex is at (4,270). Now we can apply the slope formula [tex]\frac{270 - 118.125}{4 - 1} = 50.625[/tex]. This means that from the interval [1,4], the average rate of change is 50.625, which represents that for every $1 increase in the price of erasers, the profit goes up by $50.625.
Part C:
The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.
hope this helped! :)
1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
that has a circumference of 2.5 miles. for which of these functions does y represent the
number of miles a motor car has left to go in the race if x represent the number of laps
completed by the motor car?
a. y = -2.5x -500
b. y = -2.5x + 500
c. y = 2.5x -500
d. y = 2.5x + 500
The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
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The Curved Surface area [csa] In a cylinder is 250cm². If the cylinder is 12cm high ,find the volume.
ahemmm the so-called curved area, will be the "latereal surface area" of the cylinder, and we know that that is 250 cm², whilst the height h = 12.
[tex]\textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=250\\ h=12 \end{cases}\implies \begin{array}{llll} 250=2\pi r(12)\implies 250=24\pi r \\\\\\ \cfrac{250}{24\pi }=r\implies \cfrac{125}{12\pi }=r \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{125}{12\pi }\\ h=12 \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{125}{12\pi } \right)^2 (12) \\\\\\ V=\cfrac{15625}{12\pi }\implies V\approx 414.47 \end{array}[/tex]
help pls i need it know i will brainliest you thanks
Answer:
Check the attached image for your answer.
A shirt is on sale for 40% off. The sale price is $12. How much was the discount?
Let p = the original price
p - .4p = 12
.96p = 12
p = 12.5
The original price was $12.50
12.5 - 12 = .5
The amount of the discount was $.50
A function is graphed on a coordinate grid. as the domain values approach infinity, the range values approach infinity. as the domain values approach negative infinity, the range values approach infinity. to which family of functions might the described function belong?
From the description of the function as we can see in the question, the function is a quadratic function.
What is a quadratic function?The term quadratic function refers to a type of function that is obtained from the equation ax^2+ bx + c =0.
A function in which as the domain values approach infinity, the range values approach infinity and as the domain values approach negative infinity, the range values approach infinity is a quadratic function.
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You spin the spinner once, what is P(not even)
There is three parts to the spinner
Answer:
dad
Step-by-step explanation:
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT!!!!
Answer: It should be 4 11/15 gallons.
Step-by-step explanation:
I multiplied both of the amounts.
An object is launched at an initial velocity of 19.6 meters per second from an initial height of 24.5 meters. which equation can be used to find the number of seconds it takes the object to hit the ground? 0 = –4.9t2 19.6t 24.5 0 = –4.9t2 24.5t 19.6 19.6 = –4.9t2 24.5t 24.5 = –4.9t2 19.6t
Check the picture below.
[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&19.6\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&24.5\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+19.6t+24.5\hspace{5em}\stackrel{\textit{when it hits the ground}}{0=-4.9t^2+19.6t+24.5}[/tex]
Answer:
A
Step-by-step explanation:
Of the 12 people who have taken their seats at a seminar, 2 have red hair. What is the experimental probability that the next person to take a seat will have red hair? help pls i dont understand this ixl
Answer:
Heyyy!!!!!
I think the answer is 1/6.... Im not really sure...
Step-by-step explanation:
My explanation is that there are twelve people of whom 2 have red hair.
so the probability is 2/12 which simplifies to 1/6.
I really hope this helps!!!
An Air Force plane flew to the
maintenance facility and back. It took one
hour longer to go there than it did to come
back. The average speed on the trip there
was 256 km/h. The average speed on the
way back was 320 km/h. How many
hours did the trip there take?
Answer:
5 hours
Step-by-step explanation:
Time taken for trip : t + 1
Time taken for return : t
Avg. speed (trip) : 256 km/h
Avg. speed (return) : 320 km/h
The distances covered on both trips are equal.
⇒ Distance (trip) = Distance (return)
⇒ Speed (trip) × time (trip) = Speed (return) × time (return)
⇒ (256)(t + 1) = (320)(t)
⇒ 256t + 256 = 320t
⇒ 64t = 256
⇒ t = 4 hours
Time (trip) = t + 1 = 4 + 1 = 5 hours
Yusof poured some of the lemonade from a jug equally into 16 cups
and had 200 ml of lemonade left. Each cup contained 354 ml of
lemonade. How much lemonade did he make in millilitres?
Answer:
36
Step-by-step explanation:
You multiply354 and 16 then divide
X
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a worker at the rainbow garden center planted multiple rows of flowers.
- there are 3 flowers in the first row.
- each of the remaining rows has 4 more flowers than the previous row.
determine the number of flowers in rows 20 and 35
row 20 has
flowers.
row 35 has
flowers.
i
A marble is selected at random from a jar containing 4 red marbles, 5 yellow marbles, and 3 green marbles. What is the probability that the marble that gets selected is red?
Answer:
p(picking red)= 4/12 (4 over 12) which can get simplified to 1/3 (1 over 3)
solve this system equation
y= 3x
2y+x=14
Step-by-step explanation:
When y = 3x then 2(3x) + x =14
6x + x = 14
7x=14
x=2 in sub eq 1
y=3(2)=6
Katie wants to collect over seashells. She already has seashells in her collection. Each day, she finds more seashells on the beach. Katie can use fractions of days to find seashells. 100 34 12
will mark brainiest to whoever gets it right!!!!!!:)
If they are parallel it would be 105
If its right please give brainliest
Please help I have no idea what I am doing
Answer:
16 more games
Step-by-step explanation:
4 is highest for football but basketball has 2 high scores for 8 games and 2 of those games where high points so add 8+8 and you get
16
Researching the average earnings by major and by career can help you determine the _____ of an institute of higher education.
a) net cost
b) sticker price
c) available scholarships
d) return on investment
Researching the average earnings by major and by career can help you determine the return on investment of an institute of higher education.
How to Calculate Return on Investment (ROI)?The primary indicator of the profit made from any venture is return on investment (ROI). A gain or loss from an investment in relation to its cost is compared using this ratio. Whether you are assessing the success of your stock portfolio, taking into account a company investment, or choosing whether to start a new project, it is helpful in evaluating the current or projected return on an investment.ROI and other cash flow indicators, including internal rate of return (IRR) and net present value (NPV), are important metrics that are used in business research to assess and prioritize the attractiveness of various investment options.Despite the fact that ROI is a ratio, it is usually stated as a percentage.It's crucial to keep a few things in mind when assessing ROI figures. First off, because it is inherently simpler to understand than a ratio, ROI is frequently represented as a percentage. Second, because investment returns can be either positive or negative, the ROI calculation includes the net return in the numerator.To learn more about return on investment, refer to
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In a class of 23,there are 13 girls and 10 pupils who play chess .The number of girls play chess is 4.Find how many boys do not play chess. Topic :word problems involving set.Note:solve it by formula method and not venn diagram.Ur work should be shown clearly.30 points. A need it hurry
Answer: 4
Step-by-step explanation:
If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.