Find the remainder when f(x) = x3 − 14x2 51x − 22 is divided by x − 7.
Answers
According to the Remainder Theorem, if
is not a factor of
then evaluating the function at
gives us the Remainder when
is divided by
That is
For the given question, we have
When this function is divided by
The remainder is given by
Related Questions
If a/b = 2 /5, b/c = 3 /8, a/c =??
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For each of the following differences, do the following: (1) change the difference into a sumand (2) evaluate the sum.(a) 10-7(b) 9-17(C) -5-8(d) 14-(-3)
How to find the area of a right triangle?
Answers
4n^2+3=7n
make into trinomial
subtract 7n from both sides
4n^2-7n+3=0
if we can factor this, then we can asume that the factors are equal to zero becase if
xy=0 then assume x and/or y=0 so
to factor an equation in ax^2+bx+c where a is greater than 1 then
b=t+z
a times c=t times z
to factor 4n^2-7n+3 you do
4 times 3=12
what 2 numbers multiply to get 12 and add to get -7
the numbers are -3 and -4 so
split up the -7
4n^2-4n-3n+3
group
(4n^2-4n)+(-3n+3)
undistribute
(4n)(n-1)+(-3)(n-1)
reverse distributive property
ab+ac=a(b+c)
(4n-3)(n-1)=0
set each to zero
4n-3=0
add 3 to both sides
4n=3
divide both sides by 4
n=3/4
n-1=0
add 1 to both sides
n=1
n=3/4 or 1
a.{(-3, 14),(0, 15),(3, 16)}
b.{(-3, 16),(0, 15),(3, 14)}
c.{(16, -3),(15, 0),(14, 3)}
help
Answers
Final answer:
Upon testing all the given sets of ordered pairs, none of the sets satisfy the equation x + y = 15 as when the x and y values are substituted into the equation, they don't sum up to 15.
Explanation:
The task is to determine which of the given sets of ordered pairs satisfies the given equation, x + y = 15. In order to solve this, we can plug in the x and y values from each ordered pair into the equation to see if the equation holds true.
- For the set (-3, 14), (0, 15), (3, 16):
-3 + 14 = 11, which is not equal to 15.
0 + 15 = 15, which is equal to 15.
3 + 16 = 19, which is not equal to 15. So this set is incorrect. - For the set (-3, 16), (0, 15), (3, 14):
-3 + 16 = 13, which is not equal to 15.
0 + 15 = 15, which is equal to 15.
3 + 14 = 17, which is not equal to 15. So this set is also incorrect. - For the set (16, -3), (15, 0), (14, 3):
16 - 3 = 13, which is not equal to 15.
15 + 0 = 15, which is equal to 15.
14 + 3 = 17, which is not equal to 15. So this set is also incorrect.
Therefore, none of the options given are ordered pairs of the equation x + y = 15.
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Final answer:
The correct set of ordered pairs which satisfy the equation x + y = 15 are {(16, -3),(15, 0),(14, 3)}. The other options contain pairs that do not add up to 15.
Explanation:
The question is about identifying the correct ordered pairs from the given equation x + y = 15. An ordered pair is a pair of elements with a particular order, typically used to describe coordinates on a graph. In this case, we need to find the pairs of numbers that, when added together, equal 15.
Looking at the options:
- Option a: {(-3, 14),(0, 15),(3, 16)} - These pairs do not add up to 15.
- Option b: {(-3, 16),(0, 15),(3, 14)} - Only the pairs (0, 15) and (3, 14) add up to 15. The pair (-3, 16) does not.
- Option c: {(16, -3),(15, 0),(14, 3)} - All these pairs add up to 15.
Hence, the correct option is
C
.
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B. 120.8 km
C. 68.8 km
D. 63.3 km
Answers
The actual distance between the two cities corresponding to the mapdistance is 63.3 km. Then the correct option is D.
What is the distance?
Distance is defined as the length between the two points just like in the question it is the length between the two cities.
The length is calculated as:-
1 cm: 11.5 km
5.5 cm: 5.5 x 11.5 km
5.5 cm : 63.3 km
The distance between the two cities is 63.3 km.
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Answer:
the answer is 63.3 km
Answers
Answer:
9 3/4 . . . . (for the numbers shown)
Step-by-step explanation:
Each number in the table is the product of the number in the left margin and the number in the top margin:
9 = 3·3
3/4 = 3·1/4
The total of these numbers in the table is the Area value being asked for.
9 + 3/4 = 9 3/4
_____
If there is more to the question that isn't shown, you will need to add those partial products to the total, too. We presume you know how to add fractions and mixed numbers.
Answers
Answer:
C. 6
Step-by-step explanation:
Answer: C) 6
Step-by-step explanation: usatestprep approved
3x + 2y = 14
(Points : 5)
(–8, 6)
(–2, 6)
(6, –8)
(6, –2)