Use the Remainder Theorem to find the remainder for (2x^3- 3x^2+x)/(x-1) and state whether or not the binomial is a factor of the
polynomial.
As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.
Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial
2x³ - 3x² + x.
Therefore,
2(1)³ - 3(1)² + 1 = 0
2 - 3 + 1 = 0.
3 - 3 = 0.
0 = 0.
So, The binomial x - 1 is a factor of the polynomial.
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KN and JM are diameters of circle I. Find m LIM.
Answer:
46 degrees
Step-by-step explanation:
Can someone please help me with this?
i’m doing the first one.
the filled in circle goes to the 8 and put an arrow facing the right.
inequality-
x ≥ 8
The shaded numbers show a pattern in the multiplication table. Which
expression can find the number that comes next in the pattern?
Xo 1 2 3 4 5
0 0 0 0 0 0 0
10 1 2 3 4 5
2 0 2 4 6 8
3 0 3 6 9 12
4 0 4 8 12 16
5 0 5 10 15 20 25
25 X4
25 + 11
25 +
1
25 +1
25 x 6
25 x 6
Answer:
25 + 11
Step-by-step explanation:
As it is summing up by odd numbers
so 16+9 is 25
and then 25 + 11 as eleven is the next odd number after 9
Answer: 25+11
HOPE THIS HELPS
Can someone help me with this? ;^;
Answer:
The mode would be 10
Step-by-step explanation:
Because it is there more than the others
hope this helps! =D
Answer:
10
Step-by-step explanation:
many organize a classroom party. there are 20 of cold drinks at the party, 13 of which contain diet Pepsi, what is the probability that randomly selected drink will be a diet Pepsi? answer key
Answer:
so its either 13/20
Step-by-step explanation:
if you get this wrong sorry:(
A triangle has angles that measure 59°, 48°, and 73°. What kind of triangle is it?
Answer: it is an isosceles triangle
Step-by-step explanation:
all three angles are lower than 90 degrees. if the angles were all higher than 90 degrees the triangle would be considered obtuse. even though all the angles are lower than 90 degrees, it would also be considered acute.
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Answer:
A
Step-by-step explanation:
Answer:
A) 107 inches2
Step-by-step explanation:
4*16= 64
64/2 = 32
9+16 = 25
25/2 = 12.50
12.50*6 = 75
32 + 75 = 107
Got it right in USA TESTING
what is s10 for 1 + 2 + 4 + 8+...
256
511
1023
2047
Answer:
1023
Step-by-step explanation:
[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]
a = first term
r = common ratio
n = number of terms
Here we have
a = 1
r = 2
n = 10
[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]
[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]
[tex] S_{10} = \dfrac{-1023}{-1} [/tex]
[tex] S_{10} = 1023 [/tex]
Of course, since 10 is not such a large number of terms, you can simply do this:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023
2. The size of a conC. 3 times the size of a cylinder is:
A. 1/3 the size of a cylinder.
B. 2/3 the size of a cylinder.
C. 3 times the size of a cylinder.
D. the same as the size of a cylinder.
Answer:
The answer is A.
Step-by-step explanation:
Which sentence is true?
A. - 3 > - 7
B. - 2 < -9
C. 4 < -1
D. - 5 > 0
Answer:
A
Step-by-step explanation:
I believe A. is true for the question
Find the measure of the third angle of a triangle if the measures of the other two angles are given. 31.8 and 89.8
Answer:
58.4 Degrees
Step-by-step explanation:
Look at the attachment
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The measure of the third angle of a triangle is 58.4°.
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The sum of all the angle of the traingle is always 180°.
31.8° + 89.8° + x = 180°
x = 58.4°
Hence, the measure of the third angle of a triangle is 58.4°.
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What number is the opposite of 98?
Answer:
-98
Step-by-step explanation:
hope this is right
Answer:
-98
Step-by-step explanation:
a negative number is the opposite of a positive number
I need help.! ASAP PLEASE
Answer: The answer is 9
Step-by-step explanation:
It is 9 because 3x3x3x3 is basically 9x9 and 9x9 is 81, so 81 is the numerator. Then we gat to the denominator, which is 3x3 and 3x3 is 9. So the new fraction you get is 81/9, which is basically 81 divided by 9. 81 divided by 9 is 9.
Answer:
9
Step-by-step explanation:
Subtract 2 from the 4 exponents on the numeral, then multiply that exponent, which would be 3×3=9 .
PLEASE HELP ME!! IM IN DESPERATE NEED OF HELP
The length of a rectangle is three times as long as its width. The width of this rectangle is 6 inches smaller than its length. Find the length and the width
Answer:
12
Step-by-step explanation:
Answer:
width is 3 and length is 9
Step-by-step explanation:
width is 3 bcs 3*3=9-6=3 satisfied?
Chris needs at least a C+ average to pass his math class. His test grades in the class are shown below. 68, 80, 73, 72 The lowest C+ grade is 76. If there are only 5 tests, what is the minimum grade that Chris needs to get on his last test? A. 97 points B. 89 points C. 85 points D. 87 points
Answer:
C
Step-by-step explanation:
Answer:
B 89 points
Step-by-step explanation:
you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests
hope this helped<33
Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a
square grid (see map). They are both standing at the corner of 6th avenue and L street. Doug can run at an average speed of 30
mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to the corner of
10th avenue and Estreet. who would win and why?
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.
Step-by-step explanation:
Each city block is a square 1/16 mile by 1/16 mile.
From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.
leg1 = 4 * 1/16 mile = 0.25 mile
leg2 = 7 * 1.16 mile = 0.4375 mile
The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.
a^2 + b^2 = c^2
(0.25 mile)^2 + (0.4375 mile)^2 = c^2
c = 0.50389
The direct distance from one corner to the other is 0.50389 miles.
The bird travels this distance since the bird can fly above the streets.
The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles
Now we need to see what takes less time:
Bird: distance of 0.50389 miles at 20 mph, or
Dog: distance of 0.6875 miles at 30 mph
We start with the formula for speed:
speed = distance/time
s = dt
Now we solve it for time:
st = d
t = d/s
Time equals distance divided by speed.
Now we find the times for the bird and for the dog.
Bird:
t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes
Dog:
t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes
The bird takes 1.51 minutes, and the dog takes 1.38 minutes.
The dog takes less time to get there, so the dog wins.
help please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4 feet by 3 feet
Step-by-step explanation:
I hope this helped you out
Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player need to raise more? How can estimation help you solve?
Answer: A softball player will need to raise more.
Step-by-step explanation:
The softball team needs to raise $318.12 among the twelve girls on the team. Each softball player needs to raise:
$318.12 ÷ 12 = $26.51
The hockey team needs to raise $391.92 among the 24 boys on the team. Each hockey player will raise:
$391.92 ÷ 24 = $16.33
A softball player will raise $26.51 while a hockey player will raise $16.33. Therefore, a softball player will need to raise more.
50 POINTS HELP ASAP
Answer:
its 10 points not 50
Step-by-step explanation:
pls help will mark as brainliest
Answer:
1. Onesimus is the box 1
2. Gauls is box 8
3. Tarsus is box 3
4. Damascus is box 6
5. Ephesus is box 9
6. Colossae is box 12
7. Thessolonica is box 4
8. Ananias is box 2
9. Philippians is box 7
10. Tychicus is box 10
11. Phoebe is box 5
12. Epaphrase is box 11
Step-by-step explanation:
Hope this helps.
Which fraction is equivalent to 15/30
A 3/4
B 2/4
C 3/5
D 5/6
Answer:
2/4
Step-by-step explanation:
What is the value of s?
units
0
5
В
8
15
S
D
Consider the triangle ABD,
Here,
AB = 5
BD = 15
AD = s
As we know,
In a triangle, the sum of lengths of two sides is greater than the third side.
So,
[tex]5 + 15 > s[/tex]
[tex]15 + s > 5[/tex]
[tex]s + 5 > 15[/tex]
Now,
To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19
Answer: the value of s is 17 units
Step-by-step explanation: youre welcome
What factors do 6 and 12 have in common?
Answer:
6x^2 im pretty sure thats whats its asking for
Step-by-step explanation:
pls help will mark as brainliest
Answer:
C
Step-by-step explanation:
Answer:
D cannot be used. first 3 are correct
Step-by-step explanation:
need answer asap!!!!!!!!!!!
Answer:
126 degrees
Step-by-step explanation:
A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.
Please help
Find answer Asap and I will mark as brainliest!!
Answer:
3 units.
Step-by-step explanation:
If you view the triangle face in halves, the bottom leg is units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.
Help ASAP please ! Explain too if you can
Answer:
B
Step-by-step explanation:
180-118=42 so angle c=42
add 42 +76 =138
in a triangle all degrees ad up to 180 so
subtract 138 from 180=42
Answer:
B) 42 degrees
Step-by-step explanation:
If we're looking for the measure of angle E, we need to know the measures of angles D and C too. (Otherwise we just have nothing to work with.)
So they already give us angle D's measurement, which is 76; we just have to find the smaller angle at C and then solve for E. If this doesn't make sense, just look at C; there's a big angle (118) and a small one that we don't know. We have to find the small one.
Well at C there's just a straight line, so we can assume that the big angle and the small angle add up to 180 degrees, because straight angles are always 180 degrees.
Now to get the small angle, we can take 118 away from 180 to get 62, which will be the measure of the smaller angle. (Comment if you don't know why I did this.)
Now that we know two out of three measures in the triangle, we can find the measure of angle E. All triangles' angles add up to 180 degrees, so we can take away 76 (measure of D) and 62 (measure of small C) from 180 to get the measure of E: 180 - 76 - 62 = 42
So the measure of angle E is 42.
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
B
Step-by-step explanation:
Seeing as the change is consistent within the vertices, this would be correct.
Which of the following represents the factorization of the binomial below ? x^2 - 144
It factors to (x+12)(x-12)
This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7
I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)