Answer:
same
Step-by-step explanation:
Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the value of b and c. If (y+2) is a factor of the expression, find the value of d
The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.
We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have
p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R
==> R = -2 + b + c + d
p(2) = 2(2)³ + b(2)² - c(2) + d = R
==> R = 16 + 4b - 2c + d
p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R
==> R = 1/4 + b/4 - c/2 + d
We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so
p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0
==> 0 = -16 + 4b + 2c + d
Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :
(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R
-18 - 3b + 3c = 0
b - c = -6
(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R
-9/4 + 3b/4 + 3c/2 = 0
b + 2c = 3
(b - c) - (b + 2c) = -6 - 3
-3c = -9
c = 3
b - 3 = -6
b = -3
-16 + 4(-3) + 2(3) + d = 0
d = 22
5. Find the equation of the line through the points (-6, 12) and (-4,91
Answer:
The answer is -11x and -21
Question
Example
Step by Step
Jennifer is saving money to buy a bike. The bike costs
$213. She has $123 saved, and each week she adds $18
to her savings.
How long will it take her to save enough money to buy
the bike?
It will take her
weeks _____to save for the bike.
Answer:
5
Step-by-step explanation:
18x5=90+123=213.
Help me out 3 i need some help :(
Answer:
The first one
Step-by-step explanation:
Since only the first session is $10, it wouldn't be 10x.
The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.
So the answer is y = 10 + 5x
(sorry if i didnt explain well)
Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators? (1 point) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level. Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level. Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1. Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.
Answer B
Step-by-step explanation:
Answer:
it is BStep-by-step explanation:
i already took the test please like it and give 5 stars Thank youwhoever answers first gets brainliest if i can im desperate??
Answer:
33/209
Step-by-step explanation:
11*19=209 . 3(11)=33 . 33/209
Given parameters:
Length of the rectangle = [tex]\frac{11}{19}[/tex] mile
Width of the rectangle = [tex]\frac{3}{11}[/tex] mile
Unknown:
Area of the rectangle = ?
Solution:
The area of a rectangle is
Area of rectangle = length x width
= [tex]\frac{11}{19}[/tex] x [tex]\frac{3}{11}[/tex]
= [tex]\frac{3}{19}[/tex]mile²
The basketball team scored a total
of 80 points, all off of 2-point
baskets and 3-point baskets (no
they didn't make any free throws). If
six 3-point baskets were made, find
the number of 2-point baskets
made.
Answer:
31 2-point baskets were made
Step-by-step explanation:
We can find how many of the 80 points were made with 2-point baskets by subtracting all the points gained through 3-point baskets. Since there are six 3-point baskets:
# of points through 2-point baskets = 80 - 6(3) = 80 - 18 = 62
To find the number of 2-point baskets that were made, divide the points by the worth of the basket:
# of 2-point baskets made = 62/2 = 31
9514 1404 393
Answer:
31
Step-by-step explanation:
6×3 = 18 of the 80 points were from 3-point baskets, so the remaining 62 points were 2-point baskets.
62 = 2b
62/2 = b = 31
31 2-point baskets were made.
Select two fractions equivalent to 21/28
[] 42/56
[] 3/4
[] 3/9
[] 3/7
If x-1/2y=7
Then 4x-2y=?
Answer: RTGVTFGVTTGSGT
Step-by-step explanation:
Is it -56/65????????????????
Answer:
[tex] \cos (u + v) = -\dfrac{56}{65} [/tex]
Good job!
Step-by-step explanation:
[tex] \cos (u + v) = \cos u \cos v - \sin u \sin v [/tex]
[tex] \sin u = -\dfrac{3}{5} [/tex]; u is in QIII.
That makes [tex] \cos u = -\dfrac{4}{5} [/tex]
[tex] \sin v = -\dfrac{12}{13} [/tex]; v is in QIV.
That makes [tex] \cos v = \dfrac{5}{13} [/tex]
[tex] \cos (u + v) = (-\dfrac{4}{5})(\dfrac{5}{13}) - (-\dfrac{3}{5})(-\dfrac{12}{13}) [/tex]
[tex] \cos (u + v) = -\dfrac{20}{65} - \dfrac{36}{65} [/tex]
[tex] \cos (u + v) = -\dfrac{56}{65} [/tex]
You are correct.
Answer:
Step-by-step explanation:
-0.8615
find the missing
number
+ 16 = 28
Round off the following numbers to 2 significant figures.
156
Answer:
your answer would be 160
at the beginning of the basketball game Sabrina made nine points in four minutes she wants to break the school record of 119 points in a game but the game last for 60 minutes in a Sabrina continues to score points at this rate will she break the school record show how you know set up a proportion
If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.
Below, match each of the four players with their respective z-scores for height.
a. Dustin
b. Byfugtien
c. Wilson
d. Crosby
1. A= 0.97
2. B= 0.48
3. C= -1.00
4. D= +1.46
This question is incomplete, the complete answer is;
If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.
Below, match each of the four players with their respective z-scores for height.
a. Dustin
b. Ferguson
c. Wilson
d. Crosby
1. A= 0.97
2. B= 0.48
3. C= -1.00
4. D= +1.46
Answer:
a. Dustin MATCHES 1. A= 0.97
b. Ferguson MATCHES 2. B= 0.48
c. Wilson MATCHES 4. D= +1.46
d. Crosby MATCHES 3. C= -1.00
Step-by-step explanation:
Given that;
their mean height u = 73.03
standard deviation α = 2.03
now the z-score height for each player;
a- Dustin Byfuglien (Winnipeg Jets) Height = 75
z = (x - u) / α = (75 - 73.03) / 2.03 = 1.97 / 2.03 = 0.9704 ≈ 0.97
b- Dylan Ferguson (Vegas Golden Knights) Height = 74
z = (x - u) / α = (74 - 73.03) / 2.03 = 0.97 / 2.03 = 0.4778 ≈ 0.48
- Tom Wilson (Washington Capitals) Height = 76
z = (x - u) / α = (76 - 73.03) / 2.03 = 2.97 / 2.03 = 1.4630 ≈ 1.46
Sidney Crosby (Pittsburgh Penguins) Height = 71
z = (x - u) / α = (71 - 73.03) / 2.03 = -2.03 / 2.03 = - 1.00
Therefore
a. Dustin MATCHES 1. A= 0.97
b. Ferguson MATCHES 2. B= 0.48
c. Wilson MATCHES 4. D= +1.46
d. Crosby MATCHES 3. C= -1.00
20-21_P00117979_TFA_G10_MTH_E_GeometricProofsPrep ( Items
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8.
Angle 1 and Angle 3 are vertical angles. The measure of Angle 1 is (3x +72)' and the measure of Angle 3 is (6x)". What is
the value of x?
A2
B
8
C. 12
D.24
Time Remaining: 00:38:15
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6
Answer: on angle 1 x=12 and on angle 3 x=24
Step-by-step explanation: i think
I need help please! The one from mr.squarepants pls it’s due today !!!
Answer:
He needs to work 8.25 hours more.
Step-by-step explanation:
2.25 + 3.50 (3 1/2) - 5.75
5.75 + 6 = 11.75
20 - 11.75 = 8.25
Answer:
8.25 more hours.
Step-by-step explanation:
2.25+3 1/2+6=11.75
Then:
20-11.75=8.25
Check all true statements.
A. For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.
B. For all sets A, B, the power set of the cartesian product of A and B is the cartesian product of the power sets of A and B. If A={1,2} and B={3} then A x B ={ {1,3}, {2,3} }.
C. The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C. If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.
D. The cartesian product is symmetric, i.e. A x B = B x A for all sets A, B. For all sets A, B, the cardinality of A x B is the sum of the cardinalities of A and B.
E. The cartesian product is associative, i.e. (A x B) x C = A x (B x C) =for all sets A, B, C. Both sets are equal to A x B x C.
F. The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C, then B = C.
Step-by-step explanation:
the true statemnts underneath and are in bold letters
-.For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.
This property is true
-The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C.
This property is true
- If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.
if we have 2 non empty sets a and b if we want to get their cartesian product, it is defined as the set of all ordered pairs from a and b
we have A x B to be{(1,3)(2,3)}
therefore this is also true
Which decimal number is equal to 18?
0.125
0.125¯¯¯¯¯
0.125¯¯¯¯
0.125¯
Answer:
if you mean 1/8 then its 0.125 (top choice)
Step-by-step explanation:
1/8=(1/4)/2=0.25/2=0.125
18. Simplify the following expression: 35+ (-13) + (+8) -(-6).
O A.50
O B. 24
O C.44
O D.36
Answer:
36 D.
Step-by-step explanation:
+ - = -
+ + = +
- - = +
35 - 13 + 8 + 6
22 + 8 + 6
30 + 6
36
T is between S and U. ST= 10 and TU = 6. what is the length of SU.
Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
SAS Congruence Postulate
ASA Congruence Postulate
AAS Congruence Theorem
Answer:
ASA
Step-by-step explanation:
Took the test.
Order the numbers from least to greatest:
square root of 81, square root of 72, 9.2, 8.6
Type the correct order of each item (eg. 1, 2, 3, etc):
8.6
9.2
square root of 81
square root of 72
Simplify all the given.
√81 = 9
√72 ≈ 8.5
9.2 = 9.2
8.6 = 8.6
From here, you can just sort it out.
From least to greatest:
1) √72
2) 8.6
3) √81
4) 9.2
-5x + 9 = -3x + 1 solve the equation
Answer:
x=4
Step-by-step explanation:
Step 1: Add 3x to both sides.
−5x+9+3x=−3x+1+3x
−2x+9=1
Step 2: Subtract 9 from both sides.
−2x+9−9=1−9
−2x=−8
Step 3: Divide both sides by -2.
−2x/−2=−8/−2
1. A pitched roof is built with a 1:3 ratio of rise to span. If the rise of the roof is 10 meters, what is the span
Answer:
The answer is B) the span of the roof is 4
Step-by-step explanation:
The span is 30 meters if the pitched roof is built with a 1:3 ratio of rise to span.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
A pitched roof is built with a 1:3 ratio of rise to span
rise/span = 1/3
rise = 10 meters
10/span = 1/3
span = 3×10 = 30 meters
Thus, the span is 30 meters if the pitched roof is built with a 1:3 ratio of rise to span.
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ2
Evaluate using the order of operations. Enter the answer in simplest form.
3/5+1/7÷3
Answer:
0.64761904761
Step-by-step explanation:
Sarah traveled 145 miles in
2.5 hours. How fast was
Sarah driving?
Ma
Answer:
58 mph
Step-by-step explanation:
145/2.5=1450/25=58
I'll send u the graph
Answer:
9
Step-by-step explanation:
2x3=6
3x3=9
Find the unit rate. Round to the nearest hundredth, if necessary.
$1.99 for 12 lb
The unit rate is $
Answer:
Convert to a decimal by dividing the numerator by the denominator.
0.17
dollars per pound
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.
0.16583 (keep adding 3 at the end)
0.17 dollars per pound
Ryan has 782 beads. He wants to divide the beads evenly to make 34 bracelets. How many beads will be used for each bracelet?
Answer:
782/34 = 23 beads for each bracelet
Step-by-step explanation:
23 beads.
782 devided by 34 is 23. ask google if u think im wrong
Ernie worked at his job on Saturday and Sunday last weekend, earning $14 per hour. His
sister, Perla, also worked on the weekend and earned a total of $126.
If Ernie and Perla earned the same amount of money at their jobs last weekend, how many
hours did Ernie work?
Answer:
9 hours
Step-by-step explanation:
126 divided by 14 = 9
You can check your answer by 9 times 14 which would give you 126.