Using remainder theorem we can state that the remainder will be smaller than x+2 when the polynomial is divided by x + 2.
Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder. The value of P(x) at x = a, namely P, has been derived as the remainder (a). In essence, P(x) can only be divided by x -a if and only if P(a) = 0. It is used in an elegant way to factorize polynomials of every degree.
From the properties of division we know that when a dividend is divided by a divisor then we get a quotient and a remainder in the form:
Dividend = (Quotient × Divisor) + Remainder
Now remainder will always be less than the divisor or else the quotient changes.
Hence the the remainder will be smaller than x+2 when the polynomial is divided by x + 2.
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Answer:
Step-by-step explanation:
it's B.) equal to :)
Does anyone know the answer?
Answer:
i think it the 2 one
Step-by-step explanation:
Among fatal plane crashes that occurred during the past 70 years, 581 were due to pilot error, 56 were due to other human error, 579 were due to weather, 555 were due to mechanical problems, and 526 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing% Other human error nothing% Weather nothing% Mechanical problems nothing% Sabotage nothing%
Answer:
[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]
Pilot error, better training of pilots may reduce accidents.
Step-by-step explanation:
The total number of crashes is:
[tex]n = 581+56+579+555+526\\n=2297\ crashes[/tex]
The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:
[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]
The most serious threat to aviation safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.
Find the range of the following data:
(a) The weights (in kg) of 10 persons are:
22, 27, 29, 31, 33, 36, 37, 39, 41, 43.
Answer:
range = 21 Kg
Step-by-step explanation:
The range is the difference between the largest and smallest values in the data set
largest value = 43 Kg and smallest value = 22 Kg, thus
range = 43 - 22 = 21 Kg
[tex]answer =21 \\ solution \\ given \: data = 22 ,27,29,31,33,36,37,39,41,43 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: \: \: = 43 - 22 \\ \: \: \: \: \: \: \: \: = 21 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Order the cones described below from least to greatest volume. Cone 1: radius 4 cm and height 12 cm Cone 2: radius 8 cm and height 6 cm Cone 3: radius 6 cm and height 7 cm
Answer:
Cone 1 ⇒ Cone 3 ⇒ Cone 2
Step-by-step explanation:
V=πr²h /3
V cone1 = 3.14*4²*12/3= 200.96 cm³V cone2 = 3.14*8²*6/3 = 401.92 cm³V cone3 = 3.14*6²*7/3= 263.76 cm³Order the cones from least to greatest volume
Cone 1 ⇒ Cone 3 ⇒ Cone 2Carrie took a 24-hour train ride from Colorado to Illinois. If she arrived in Illinois at 2:45pm CST on Wednesday, when she did she leave Colorado?
Answer:
Carrie left Colorado at 2:45pm CST on Tuesday.
Step-by-step explanation:
The train travels a total of 24 hours to get from Colorado to Illinois, that is, it takes one complete day of travel to get from one city to the other.
So, if Carrie arrives Illinois at 2:45pm CST on Wednesday, she left Colorado exactly one day before that, in the same hour, so she left Colorado at 2:45pm CST on Tuesday.
algebraic fractions and formulae
(help me find Z)
thank you ❤❤
Answer:
Step-by-step explanation:
z= y( z-y)/x
z = yz - y^2 /x
zx = yz -y^2
y^2 = yz - zx
y^2 = ( y- x)z
therefore z = y^2/(y-x)
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A closed cylinder has a radius of 3cm and height 7 cm. find its total surface area.
The total surface area of the cylinder is 188.4 cm².
Given that, the radius of the cylinder=3 cm and the height of the cylinder=7 cm.
We need to find the total surface area of the cylinder.
What is the formula to find the total surface area of the cylinder?The formula for the total surface area of a given cylinder whose radius is r and height is h is 2πr (h + r).
Now, 2×3.14×3(7+3)=188.4 cm².
Therefore, the total surface area of the cylinder is 188.4 cm².
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Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
10 and 8
Step-by-step explanation:
Tanya buys 12 water bottles. Of these bottles, 5 hold 300 milliliters each and 7 hold 1.5 liters each. Part A How much water, in milliliters, does Tanya buy? Enter your answer in the box. Part B How much water, in liters, does Tanya buy? Enter your answer in the box.
Answer:
A- 12,000ml
B- 12l
Step-by-step explanation:
To find milliliters:
1.5l = 1500ml
300(5) + 1500(7) = (1500 + 10500 =) 12,000ml
To find liters:
300 ml = 0.3l
0.3(5) + 1.5(7) = (1.5 + 10.5 =) 12L
Hope this helps!
suppose f(x)=x^2. what is the graph of g(x)=f(3x)?
Answer:
Option A is correct
g(x) = 9x^2
Step-by-step explanation:
f(x) = x^2
g(x) = f(3x) = (3x)^2 = 9x^2
Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)
=> Option B and C are incorrect (the value of y is smaller than 0)
Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.
=> Option D is incorrect
=> Only option A is correct
Hope this helps!
Option A is correct
g(x) = 9x^2
f(x) = x^2
g(x) = f(3x) = (3x)^2 = 9x^2
Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)
B and C are incorrect (the value of y is smaller than 0)
Let's continuously see option D. The graph shows that when x is equal to 3, y is approximately 5.
This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.
Option D is incorrect
Only option A is correct
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ASAP A ramp into a building forms an 8° angle with the ground. If the entry point of the ramp is 7 feet from the building, how many feet from the ground is the end of the ramp? Round the solution to the nearest hundredth.
Answer: .98 feet
Step-by-step explanation: Took the test
Answer:
.98
Step-by-step explanation:
i took the quiz
Which of the following is an example of a quadratic equation?
O A. y = 4x +6
O B. x2 - 64 = 0
O C. X+ 10 = 33
O D. y=1/x2+6
Answer:
[tex]x^{2} -64 = 0\\[/tex]
Step-by-step explanation:
According to Wikipedia In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.
how do you factor 5x^2b^2 + 14xb^2 -3b^2
Answer:
[tex]5b^2(x-0.2)(x+3)[/tex]
Step-by-step explanation:
The first thing that I noticed was that all of the terms had a common factor of [tex]b^2[/tex]. You can therefore factor that out first:
[tex]5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)[/tex]
Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:
[tex]5b^2(x-0.2)(x+3)[/tex]
Hope this helps!
What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?
Answer:
What? Retype the question below and ill answer it, but this isnt answerable.
Step-by-step explanation:
What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?
Like what kind of language is this ;--;
Which side of AABC is the longest?
Answer:
B
Step-by-step explanation:
The side opposite the largest angle is the longest side.
Hope this helps
Al mediodía me he comido la mitad de una tortilla de patatas. A la hora de la merienda, Ana ha tomado un tercio de la tortilla original, y para cenar, Luis se ha tomado tres cuartas partes de lo que quedaba. ¿Qué fracción de la tortilla queda al final del día?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
La mitad es 1/2 y un tercio es 1/3. Como una persona se comió 1/2 y Ana 1/3, puedes determinar lo que se comieron sumando:
[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]=[tex]\frac{3+2}{6}[/tex]=[tex]\frac{5}{6}[/tex]
Como se comieron 5/6, puedes restar esto de 6/6 para determinar cuanto quedó de la tortilla:
[tex]\frac{6}{6}-\frac{5}{6}= \frac{6-5}{6} =\frac{1}{6}[/tex]
De acuerdo a esto, quedó 1/6 de la tortilla. Luis tomó tres cuartas partes de lo que quedaba, lo que significa que quedó 1/4 de 1/6. Para encontrar la fracción de la tortilla que quedó puedes dividir 1/6 entre cuatro para saber a cuanto corresponde una cuarta parte de 1/6:
[tex]\frac{1}{6}[/tex]÷4= [tex]\frac{1/6}{4}= \frac{1}{6*4}=\frac{1}{24}[/tex]
De acuerdo a esto, la fracción de la tortilla que quedó al final del día es [tex]\frac{1}{24}[/tex].
A circle is cut from a square piece of cloth, as shown: How many square inches of cloth are cut from the square? (π = 3.14)
A.) 1,061.32 in2
B.) 2,122.64 in2
C.) 2,704.00 in2
D.) 3,622.31 in2
Answer:
2122.64 in^2
Step-by-step explanation:
Use the formula for the area of a circle: A=πr^2
The radius will be half the width of the cloth so 52÷2=26
26^2=676
Multiply by π given as 3.14
676×3.14=2122.64 square inches.
The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.
Answer:
B
Step-by-step explanation:
2,122.64 in2
A triangle has two sides of 8 and 15. What is the largest possible whole number length for the third side?
Answer:
Largest possible value for the 3rd side can be 22.
Step-by-step explanation:
Property of sides of a triangle:
If two sides of a triangle are [tex]a[/tex] and [tex]b[/tex] long, then the length of third side [tex]c[/tex] must be:
[tex](a+b) > c[/tex]
i.e. the sum of two sides [tex]a[/tex] and [tex]b[/tex] must be greater than the third side [tex]c[/tex].
So, to find the largest possible value:
[tex]a = 8\\b= 15[/tex]
[tex]a+b=23[/tex]
Largest possible value of [tex]c[/tex] can be lesser than 23.
i.e. 22 can be the largest possible value of the third side.
100 POINTS WILL MARK BRAINLIEST x^2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)^2 = q, where p and q are integers? Subtract 5 from both sides of the equation Add 3 to both sides of the equation Add 5 to both sides of the equation Subtract 3 from both sides of the equation
Answer:
We will add 3 to each side of the equation
Step-by-step explanation:
x^2 − 8x + 13 = 0
We want to complete the square
We will subtract 13 from each side of the equation
x^2 -8x +13 -13 = 0 -13
x^2 -8x = -13
Then take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add this to each side
x^2 -8x +16 = -13+16
( x-4) ^2 = 3
The sum of subtracting 13 and adding 16 is adding 3
Answer:
It is Subtract 3 from both sides of the equation
Step-by-step explanation:
which of the following is equal to the rational expression when x ≠ -4 or 16
Answer:
A
Step-by-step explanation:
(x^(2)-16)/((x-16)(x+4))=
[(x+4)(x-4)]/(x-16)(x+4)=
x-4/x-16
Answer:
A. [tex] \dfrac{x - 4}{x - 16} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2 - 16}{(x - 16)(x + 4)} = [/tex]
[tex] = \dfrac{(x - 4)(x + 4)}{(x - 16)(x + 4)} [/tex]
[tex] = \dfrac{x - 4}{x - 16} [/tex]
1. An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3,−2). Find the other endpoint.
______
2. An endpoint of a line segment is (−10,−2) and the midpoint of the line segment is (0,4). Find the other endpoint.
______
Answer:
1. (2, -9) 2. (10, 10)
Step-by-step explanation:
What are the domain and range of the function
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me my frnd..
__________________________________
Hey!!!!!!
Domain and RangeLet R be a relation from A to B.
Then, the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the Range.
For example:
If R:(A,B)={(1,1), (2,4), (3,9)} then,
Domain={1,2,3}
Range={1,4,9}
Hope it helps...Good luck on your assignment.........
Stay Safe......__________________________________
Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in., 4 in. × 6 in., and 4.25 in. × 6 in. Which size postcard should she use? Explain.
Answer:
The size of the post card she should use is 4 in. × 6 in.
Step-by-step explanation:
The parameters given are;
Dimensions of sign = 5 ft. × 7.5 ft
Hence, the ratio of the side sizes are;
5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;
Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.
The size of the post card she should use is therefore = 4 in. × 6 in.
Which type of triangles can be formed by taking the cross-section of a cube?
Answer:
2 Right Angled Triangles
Step-by-step explanation:
What is the distance between the pool in the main office in miles? Round to the nearest 10th period (8,1)(6,-6)
Answer & Step-by-step explanation:
For this problem, we are going too have to use the distance formula.
[tex]Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
We can plug in the coordinate points that we are given to their respectful places.
[tex]Distance=\sqrt{(6-8)^2+(-6-1)^2}[/tex]
[tex]Distance=\sqrt{(-2)^2+(-7)^2}[/tex]
[tex]Distance=\sqrt{4+49}[/tex]
[tex]Distance=\sqrt{53}[/tex]
[tex]Distance=7.3[/tex]
So, the distance between the pool and the main office is 7.3 miles.
can someone please help and explain
Answer:
2
Step-by-step explanation:
2 4/5 * 5/7
Change to an improper fraction
(5*2+4)/5 * 5/7
14/5 * 5/7
Canceling the 5's
14/7
2
Answer:
2
Step-by-step explanation:
[tex]2\dfrac{4}{5}\times \dfrac{5}{7}= \\\\\\\dfrac{14}{5}\times \dfrac{5}{7}=\\\\\\\dfrac{14\times 5}{5\times 7}=\\\\\\\dfrac{14}{7}=\\\\\\2[/tex]
Hope this helps!
The equation of a circle is x2 + y2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle?
Step-by-step explanation:
x2+y2+6y+(9-9)=7
x2+y2+6y+9=16
x2+(y+3)2=16
center:(0,-3)
r:4
The sum of two numbers which are in the ratio 5:7 is 48. Find the smaller number
Step-by-step explanation:
5+7=12
5/12×48 7/12×48
=20 =28
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Angel entered a triathlon (a three-part race). He swam 1 mile, rode his bike 30 miles, and ran 10 miles. How far did he go altogether?
Answer:
41 miles
Step-by-step explanation:
30+10+1=41
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URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!1 A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it? A) 210 inches B) 250 inches C) 180 inches D) 200 inches
Answer:
c) 180in
Step-by-step explanation:
So first you divide 150 by 5 to know by how much it was increased
150/5=30
Then multiply the length by that same 30 since it was scaled up by 30
30*6=180
Answer:
C) 180 because you do ratio of 5:6 = 150:X. X=180 because 150/5=30 so you take 30x6 = 180
