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).
Learn more about Polynomials from the given link :
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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]
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
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.)
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
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)
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
Is 3(b+c) equivalent expressions?
A. True
B. False
Answer:
Is 3(b+c) equivalent expressions?
A. True
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
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:
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
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
What is x in this equation?
Answer:
x = 124
Step-by-step explanation:
x = 124 because of alternate exterior angles
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.
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.
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:
Help me with this please
Answer:
That's called a parabola
Step-by-step explanation:
Since it's graphed in a "U" shape
HELP ASAP
Find the value of x. Round to the
nearest tenth.
16
Х
x = [?]
Answer:
x = 9. 177
Step-by-step explanation:
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.
24-5₂
Sorry i tried to put the 2 at the top edge of the 5 but i could not.
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
Helppp meeee pleaseeeeee
Answer:
C. Substance C, Substance A, Substance D, Substance B
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
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
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
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
Liam made 10 robots in five hours. In all, how many hours will you need to make 18 robots
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
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=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!
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