The factor theorem indicates that the expression (x + 2) is a factor of the polynomial, f(x) = 2·x² - x - 14, because, f(-2) = 0, the correct option is option C.
C. (x + 2) is a factor.
What is the factor theorem?The factor theorem, which is a unique example of the remainder theorem, indicates that the link between the factors and the zeros of the polynomial, such that (x - α) is a factor of the polynomial f(x), if and only if we get f(α) = 0.
The polynomial is; 3·x² - x - 14, the expression is; (x + 2)
The factor theorem indicates that we get, (x - a) is a factor of the polynomial of nth degree, where, n ≥ 1, if f(a) = 0
Whereby the polynomial is expressed as f(x) = 3·x² - x - 14 = 0, we get;
(x + 2), is a factor of the polynomial, according to the factor theorem, if we get, f(-2) = 0
Plugging in x = -2, in the polynomial, we get;
f(-2) = 3×(-2)² - (-2) - 14 = 0
Therefore, (x + 2) is a factor of the polynomial
The correct option is therefore;
C. (x + 2) is a factor
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The monomial (x + 2) is a factor of the polynomial, the correct option is C.
How to find the relation?We want to find the relationship between (x + 2) and the polynomial:
P(x) = 3x^2 - x - 14
The monomial (x + 2) will be a factor of the polynomial only if x = -2 is a zero of the polynomial, so let's check that.
P(-2) = 3*(-2)^2 - (-2) - 14
P(-2) = 3*4 + 2 - 14 = 0
So -2 is a zero of the polynomial, then we the monomial (x + 2) is a factor of the polynomial.
The correct option is C.
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Kim is playing an online trivia game. She has 25 points and earns 1 each correct answer. She will advance to the next round if her score is over 34 points. A. 25x+>34 B. 1x+34 34 C.1x+25 34
25x+>34 is the correct answer.
The correct answer is option A.
What is an example of an equation?
An equation is a mathematical declaration this is made up of two expressions linked through the same sign. As an example, 3x – five = 16 is an equation. solving this equation, we get the cost of the variable x as x = 7.
What is a word problem in maths?A word problem in maths is a maths question written as one sentence or more that requires children to apply their maths knowledge to a 'real-life' scenario.
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Simplify the expression
-2(n - 6)
Answer:-2n+12
Step-by-step explanation: Distribute -2
Answer:
-2n=12 or -2n-(-12)
Step-by-step explanation:
state the slope of a line parallel to the given line y-5 = 4 ( x+3)
Answer:
slope = 4
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 5 = 4(x + 3) ← is in point- slope form
with slope m = 4
A parallel line has a slope of 4
Solve |-21 + 5|
What is the answer of this expression?
Answer:
|-21 + 5| = 16
Answer:
16
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| - a | = | a | = a , thus
| - 21 + 5 | = | - 16 | = 16
What is 4(5^2 - 10)
Answer:
(25-10)*4=
15*4=60
Step-by-step explanation:
Answer:
4(25 - 10)
100 - 40
100 - 40 = 60
Step-by-step explanation:
Find the GCF of these numbers: 80, 75
Answer:
5.
Step-by-step explanation:
First we write them in prime factor form:
80 = 2 * 2 * 2* 2 * 5
75 = 3 * 5 * 5
Now we select the common factors:
The only common factor is 5,
- that is the GCF.
Answer: 5
Step-by-step explanation: What is the GCF of 75 and 80? The answer is 5. Get the stepwise instructions to find GCF of 75 and 80 using prime factorization method and you will get 5.
Plz help!
A recent study estimated that the wild tiger population in India decreased by 2,200 tigers in 5 years. What is the average amount this tiger population changed each year?
Answer:
440 tigers per year
Step-by-step explanation:
It says that over 5 years the population decreased by 2200, so 2200 divided by 5 would be 440.
Answer:
2200/5 = 440 per year
graph the function y= (-√x-1)-2
Answer:
this is what i got when i graphed it.
Step-by-step explanation:
Someone helpppp what’s the correct one???
Answer:
m+5<40
Step-by-step explanation:
40 is greater than 5=<
A fast food restaurant sold 35 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 7 : 3, how many burgers did they sell total?
Answer:
56
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Cause 7 times 5 is 35 so if you multiply 3 and 5 you get 15 so 15 35 is 50. I hope I helped :)
What is the x-intercept of the line?
А
-2
-3
B
C
6
D
7
Answer:
-3
Step-by-step explanation:
The x intercept is where the graph crosses over the x coordinatnes, and that point on the graph is -3 :)
PLEASE ANSWER THIS ASAPPPPP!!!
what is the tens place and the hudreds digit and the thousands digit then on the other half it what the tents digit hundredths digit and thousandths digits
Answer: 8. Tens:4 Hundreds:5 Thousands:7
9. Tens:9 Hundreds:9 Thousands:9
10.Tenths:6 Hundredths:2 Thousandths:4
11. Tenths:7 Hundredths:3 Thousandths:6
Step-by-step explanation:
please help! will give brainliest!
Answer:
The first one.
Step-by-step explanation:
I believe the correct answer is the first one on the list because the variable, R, is 6 ticks below 0. How I got that was by going to 0 and counting down 6 lines and thats where R was located.
Answer:
Second
Step-by-step explanation:
Because, according to the question we are searching for the opposite of R. So, a distance of 6 and marks above 0 represent the positive side, so the opposite.
There are 100 seniors and 80 juniors in the homecoming parade. The students split up into groups of even size, to fit on the parade floats. They want the most students possible on each float, with just juniors or just seniors on each float. How many students should be on each float?
Answer:
20
Step-by-step explanation:
Number of juniors = 80
Number of seniors = 100
To obtain the same and highest number of student on each float ; we find the highest common factor :
____80 ___100
_2__40___50
_2__20___25
_5__ 4____5
The highest common factor = (2 * 2 * 5) = 20
A boy weighs 31.5 kilograms. How much does he weigh in pounds?use the following conversion:1 kilogram is 2.2 pounds.
Answer:
69.4 pounds
Step-by-step explanation:
How many 1 2/5 foot pieces of ribbon can be cut from a piece of ribbon that is 35 feet long?
Solve for x: 3x − 5 = 2x + 6. need answer plz :(
Answer:
x = 11
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
3x -5 = 2x +6
add 5
3x -5 +5 = 2x +6 +5 =
3x = 2x +11
subtract 2x
3x - 2x = 2x - 2x +11 =
1x = 11
divide by 1
1x/1 = 11/1 =
x = 11
Solve for b. Show your work (ALL steps must be shown): 4b-3b+7=10 *
Answer:
the answer should be 3 100% sure
Step-by-step explanation:
Simplify 4b-3b+74b−3b+7 to b+7b+7.
b+7=10b+7=10
2 Subtract 77 from both sides.
b=10-7b=10−7
3 Simplify 10-710−7 to 33.
b=3b=3
What is the interest rate if...
Principal = $1,250
Time = 4 years
Interest = $285.
Answer:
The answer is 5.7 %Step-by-step explanation:
To find the rate given the principal , time and interest , we use the formula
[tex]r = \frac{100I}{pt} \\ [/tex]
where
p is the principal
t is the time
I is the interest
From the question
Principal = $1,250
Time = 4 years
Interest = $285
We have
[tex]r = \frac{285 \times 100}{4 \times 1250} = \frac{28500}{5000} = \frac{285}{50} \\ = 5.7[/tex]
We have the final answer as
5.7 %Hope this helps you
given m ll n find the value of x.
Answer:
x = 30
Step-by-step explanation:
x and 30° are alternate angles and congruent, thus
x = 30
Answer:
30 degrees
Step-by-step explanation:
according to the angle addition postulate you know that angle 30 plus angle that is 150 so you know that angle x is also equal to 30.
Sofia wants to rent an apartment. She visits Apartment A which charges $100 for a one-time deposit and $400 per month for rent. She also visits Apartment B which charges $500 for a deposit, but only charges $350 per month in rent. Write and solve an inequality that shows how many months it would take for the total paid to be less for Apartment B.
Answer:
It takes 9 or more months for the Apartment B to pay less than Apartment A.
Step-by-step explanation:
Apartment B:
8 x 350 = $2800
$2800 + $500 = $3300
----------------------------------------------
9 x 350 = $3150
$3150 + $500 = $3650
Apartment A:
$400 x 8 = $3200
$3200 + $100 = $3300
----------------------------------------------
9 x 400 = 3600
3600 + 100 = 3700
are the whole numbers a subset of natural numbers?
Answer:
The natural numbers along with number 0 (zero) form the set of whole numbers i.e., 0, 1, 2, 3,, are whole numbers. The set of whole numbers is denoted by . = {0, 1, 2, 3, …} Set of natural numbers is the proper subset of the set of whole numbers.
Step-by-step explanation:
The sum of two numbers is 12 and their difference is 4. What is the product of these two numbers
Answer:
48
Step-by-step explanation:
because I had times 12 and 4 to get 48
Answer:
the answer is 32
Step-by-step explanation:
12-4=8
add 8 and 4 you'll get 12. Subtract 4 from 8 you'll get 4.
multiply 8 and 4 you'll get 32
help its mathhhhhhh ASAP
Alana spent $18.24 on 4.8 pounds of plant food.
Which expression shows a good estimation for finding the cost of each pound of
plant food?
$
How much did each pound of plant food cost?
$
Answer:
Alana spent $18.24 on 4.8 pounds of plant food.
Which expression shows a good estimation for finding the cost of each pound of
plant food?
$
✔ 20 ÷ 5
How much did each pound of plant food cost?
$
✔ 3.80
Algebra i P.1 Identify arithmetic and geometric sequences X76 You have prizes to re Farmer Hanson has a plot of tomato plants. There are 2 tomato plants in the first row, 8 tomato plants in the second row, 32 tomato plants in the third row, and 128 tomato plants in the fourth row. What kind of sequence is this? arithmetic geometric both neither Submit
===============================================
Explanation:
The sequence 2,8,32,128,... is geometric
To get a new term, we multiply by the common ratio 4.
2*4 = 8
8*4 = 32
32*4 = 128
To find the common ratio, you pick any term you want, and divide by its previous term
r = (term2)/(term1) = 8/2 = 4
r = (term3)/(term2) = 32/8 = 4
r = (term4)/(term3) = 128/32 = 4
The starting term is a = 2, so the nth term is
a(n) = a*(r)^(n-1)
a(n) = 2*(4)^(n-1)
Please someone help with this
This is the same as 9pi/2 or (9/2)pi
===================================================
Explanation:
A full circle has area
A = pi*r^2
Since the radius is r = 3, we know that
A = pi*r^2
A = pi*3^2
A = pi*9
A = 9pi
is the area of the full circle with radius 3.
But we have a semicircle here, so we need to cut this area in half
9pi/2 = (9/2)pi = 4.5pi
Answer:
9pi
Step-by-step explanation:
A=pi r ^2 / 2
whats the answer? 6x -3y =-6
Answer:
every number you can think of
Step-by-step explanation:
6x - 3y = -6
=> 3(2x - y) = -6
=> 2x - y = -2
And you see there's a problem here. The question doesn't have enough information because x and y can be every numbers.
Take an example, x can be 200 and y can be 402 or x can be 5 and y can be 12.
Rewrite or check the question again so I can solve this :)
PLEASEEEE ANSWER! Jasmins dog weighs 58 pounds.Hef vet told her that a healthy weight for her dog would be less than or equal to 47 pounds. Jasmins dog can lose an average of 4.5 pounds every week. Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight
Answer:
w ≥ 3
Step-by-step explanation:
Weight of dog = 58pounds
Healthy weight ≤ 47
Average weight loss = 4.5 pounds per week
Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight
Minimum Weight loss required to be a healthy dog :
(58 - 47) pounds = 11 pounds
Weight loss per week = 4.5 pounds
Possible number of weeks for which dog can be a healthy dog :
Number of weeks ≥ (11 / 4.5)
Number of weeks(w) ≥ 2.44
Hence, number of weeks(w) ;
w ≥ 3