Charles evaluates f(-2) and determines its value to be 30 Charles concludes that is not factor of f(x).
What is Factor theorem?
The factor theorem in algebra establishes a connection between a polynomial's factors and zeros. The polynomial remainder theorem has this particular special instance. A polynomial f(x) has a factor if and only if f=0, according to the factor theorem.
Given : f(x)=2x^4 -3x^3 +5x -16
By Factor theorem, If x+2 is a factor of f(x), then f(-2) should be equal to 0.
So, Charles can use factor theorem to determine whether x + 2 is a factor of f(x) by putting x=-2 in f(x),
f(x) = 2x^4 -3x^3 +5x -16
= 2×(-2)^4 - 3×(-2)^3 + 5(-2) - 16
= 2×16 + 3×8 - 10 - 16
= 32 + 24 -10 -16
= 56 -26
= 30.
Since, f(-2) ≠ 0, (x +2) is not a factor of f(x).
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PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 7.4 cm and volume of 2119.5 cm3 Give the approximate answer rounded to 2 decimal places.
Step-by-step explanation:
v= 2×pi×r²×h=2119.5cm³
h=2119.5/(2×pi×r²) r=7.4cm
Answer:
12.32cm
Step-by-step explanation:
Volume of cylinder = πr²h
2119.5=π(7.4²)h
h=2119.5/54.76π
h=12.3202666868
h=12.32cm
What solution equals x^4=81
Answer:
Step-by-step explanation:
3^4=81
3 to the square root of 4 is 81
3*3*3*3=81
Answer:
Since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.
The inverse (opposite operation) of "to the fourth power" is "to the fourth root".
(x^4) ^ 1/4 = 81 ^ 1/4
81 = 3^4
so, (3^4) ^ 1/4 = 3 ^ 1 = 3
by hand: (3^4) 1/4 = 3 ^
(4 × 1/4) = 3^1 = 3
(when you take a power to a power, multiply the exponents.)
Or, do it by calculator. One way of finding the fourth the fourth root is to use ^ (1/4).
A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams. Is this in line with the manufacturer’s claim that the average nicotine content does not exceed 3.5 mg? Use a 0.01 level of significance and assume the distribution of nicotine contents to be normal.
Answer:
0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.
Step-by-step explanation:
Manufacturer’s claim that the average nicotine content does not exceed 3.5 mg
This means that the null hypothesis is given by:
[tex]H_{0}: \mu = 3.5[/tex]
And the alternate hypothesis is:
[tex]H_{a}: \mu > 3.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
3.5 is tested at the null hypothesis
This means that [tex]\mu = 3.5[/tex]
A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams.
This means that [tex]n = 8, X = 4.2, \sigma = 1.4[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{4.2 - 3.5}{\frac{1.4}{\sqrt{8}}}[/tex]
[tex]z = 1.41[/tex]
Pvalue of the test:
We are testing if the mean is higher than 3.5.
The sample mean found is of 4.2, and we have to find the probability of finding a sample mean at least as large as this, which is 1 subtracted by the pvalue of z = 1.41.
z = 1.41 has a pvalue of 0.9207
1 - 0.9207 = 0.0793
0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.
Can u please give me the real answer I really need help☹️
Answer:
12,000 g = 12000000 kg
120 cm = 1200 mm
1.2 L = 1200 L
1200 cm = 12 m
0.12 m = 120 mm
Three friends went running.
Josh ran
Eric ran 7 1/2 miles
of the miles Eric ran
Kerry ran of the miles Josh ran.
How many miles did Kerry run?
Answer:
7 1/2+ 7 1/2=146 of 146 Kerry and Eric ran the same amount each
Please help I’ll mark you as brainliest if correct!
Answer:
18
Step-by-step explanation:
2.5x + 1x= 63
3.5x =63
divide 3.5 by both sides ti get 18
Help me with this please
Answer:
That's called a parabola
Step-by-step explanation:
Since it's graphed in a "U" shape
Is 3(b+c) equivalent expressions?
A. True
B. False
Answer:
Is 3(b+c) equivalent expressions?
A. True
To a set of five grades with an average of 7.31, the following grades are added 4.47 and 9.15 What is the new average?
Answer:
New mean average of 7 grades = 7.17 (Approx.)
Step-by-step explanation:
Given:
Mean average of 5 grades = 7.31
Number of grades = 5
New grades = 4.47 and 9.15
Find:
New mean average of 7 grades
Computation:
Total of old grades = Mean average of 5 grades x Number of grades
Total of old grades = 7.31 x 5
Total of old grades = 36.55
Total of new grades = Total of old grades + 4.47 + 9.15
Total of new grades = 36.55 + 4.47 + 9.15
Total of new grades = 50.17
New mean average of 7 grades = 50.17 / 7
New mean average of 7 grades = 7.167
New mean average of 7 grades = 7.17 (Approx.)
HELP ASAP
Find the value of x. Round to the
nearest tenth.
16
Х
x = [?]
Answer:
x = 9. 177
Step-by-step explanation:
24-5₂
Sorry i tried to put the 2 at the top edge of the 5 but i could not.
This is what I need help with LIKE PLEADE
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
The equation of the given line is in slope-intercept form ...
y = mx + b
Matching that equation to this pattern, you see the slope is ...
m = 3
The parallel line will have the same slope.
If you rearrange the above equation, you find ...
b = y - mx
For the given point and slope, the new y-intercept will be ...
b = 4 - 3(4) = -8
The equation you want is ...
y = 3x -8
Helppp meeee pleaseeeeee
Answer:
C. Substance C, Substance A, Substance D, Substance B
A store owner kept track of how many t-shirts were sold last month. The store sold 28 blue t-shirts, 42 green t-shirts, and 56 white t-shirts. Based on
this data, what is the probability that the next customer will buy a green t-shirt?
A .33
B
.42
50
D) .84
HELPPP
Find the perimeter of this L shape.
Answer: undefined, not enough information
Step-by-step explanation:
Answer:
15+19 =34 is the perimeter of the closed figure
hope it helped you
ASAP
a golden bar has a mass of 12.5kg. the density of gold is 19.3 g/cm^3. work out the volume of the gold bar. give your answer to correct 3 sf.
Answer:
647.668 cm³
Step-by-step explanation:
12.5 kg = 12500 g
12500 g/19.3 g/cm³ = 647.668 cm³
Can you help me with this work please?
9514 1404 393
Answer:
OL = 7
Step-by-step explanation:
Triangle JKL is isosceles and N is the midpoint of JL, so NL = NJ = 14.
Triangle LMN is isosceles and O is the midpoint of NL, so NL = 2(OL).
OL = NL/2 = 14/2
OL = 7
__
There is no WY.
PLLLLEEEEAAASSSEEEE HHHEEELLLPPPP!!!!! WILL MARK BRAINLIEST
This table shows the daily high temperatures, in degrees Fahrenheit, for two towns over a 10-day period.
Town A 45 50 42 57 54 53 50 49 47 47
Town B 30 35 43 50 60 68 70 68 40 30
Based on these results, which conclusions can you draw about the temperatures in the two towns over the 10-day period?
Select each correct answer.
On average, Town A is several degrees warmer than Town B during this time period.
On average, Town A is several degrees cooler than Town B during this time period.
On average, the temperatures in the two towns are about the same during this time period.
The temperatures in Town A are more variable than the temperatures in Town B.
The temperatures in Town A are less variable than the temperatures in Town B.
The temperatures for both towns vary by about the same amount.
Answer:
1 and 5 I think
Step-by-step explanation:
Answer:
1 ANS 5 PROBABLY
Step-by-step explanation:
What is x in this equation?
Answer:
x = 124
Step-by-step explanation:
x = 124 because of alternate exterior angles
Liam made 10 robots in five hours. In all, how many hours will you need to make 18 robots
PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED
I need help with this, I wanna say the answer is 14 but I’m afraid the answer is wrong please help me
In parallelogram JKLM if LN=12 find LJ.
Answer:
LJ=24
Step-by-step explanation:
since half of LJ is LN and LN=12 add 12+12 and you will get 24.
Can someone please help me with this problem?
Answer:
1120 cm^3
Step-by-step explanation:
Volume of the ice cube = B * h
B = 20 cm^2
h = 4 cm
Volume = 20 * 4 = 80 cm^3
This volume is for one cube holder in the tray.
There are 7 * 2 such holders
There are 14 holders
Total volume of the holders =
14 * 80 =
1120 cubic cm
3 When 25 x+2y-* x-12y+3) x-1ży+3) is simplified, what is the resulting expression? 1 Tox+23y+6 7. x+23y+6 x+85y+8 1 Tox+4*x+3
Answer:
B
Step-by-step explanation:
Find the slope of the line between each pair of points, write your answer as a improper fraction or a whole number:
(19,-12) and (5, 16)
Please only answer the odds for example 1. 3. 5. 7. 9. thanks if your answer is a virus or if its absurd i will repo thanks also I am giving brainlest for correct answers(:
Set A:
1. 1 1/2 - closest to 1
2. 11/24 - closest to 1/2
3. 3/16 - closest to 0
4. 11/24 - closest to 1/2
5. 8/15 - closest to 1/2
6. 49/60 - closest to 1
7. 1 1/10 - closest to 1
8. 31/60 - closest to 1/2
Set B:
1. Common denominator = 10
2. Common demoninator = 18
3. Common denominator = 28
If $520 is borrowed for 290 days at 2.15% simple annual interest, how much will be repaid at the end of 290
days?
Step-by-step explanation:
Formula for simple interest
[tex]a = p(1 + rt)[/tex]
where a = final amount
p = principal amount
r = annual interest rate
t = time in years
given p = 520,
r = 2.15/100
t = 290/365 (1 year = 365 days)
[tex]a = 520(1 + ( \frac{2.15}{100} )( \frac{290}{365} )) \\ = 520 (1 + \frac{1247}{73000} ) \\ = 520( \frac{74247}{73000} ) \\ = 528.88 \: (2.dp)[/tex]
6. Mary earns $7 an hour working at the local kennel. She is trying to save money to buy a
new DVD player that costs $210. Which equation can be used to find the number of hours she
must work before she can buy the DVD player?
A. 7x = 210
B. x + 7 = 210
C. 210- x = 7
D. 210x = 7
Answer:
a
Step-by-step explanation:
7 times a number will add up to 210
Combining Like Terms:
11z+17-7z-6
Answer:
4z+11 final answer
Step-by-step explanation:
11z+17-7z-6 this is the Q
11z-7z+17-6
4z+11 the result is 4z+11
A=8b+c solve for b
Please help!
Answer:
(A-c)/8 = b
Step-by-step explanation:
A = 8b +c
A - c = b
(A-c)/8 = b
Hope this helps you!