The Value of a for which (x - 5) is a factor of x³ -3x² +ax -10 is a = -8 .
The Equation is given as x³ -3x² +ax -10 ;
the factor of the above equation is given as (x - 5) ;
Since (x - 5) is given to be a factor ,
we have , x - 5 [tex]=[/tex] 0 ;
On solving ,
we have , x = 5 .
For (x - 5) to be a factor of x³ -3x² +ax -10 ,
x = 5 should satisfy the given equation .
that means ; (5)³ -3(5)² +a(5) -10 = 0 ;
⇒ 125 - 3×25 + 5a - 10 = 0 ;
⇒ 125 - 75 + 5a - 10 = 0 ;
⇒ 50 + 5a - 10 = 0 ;
⇒ 40 + 5a = 0 ;
⇒ 5a = -40 ;
dividing both sides by 5 ,
we get ;
a = -40/5 = -8 .
Therefore , the value of a is "-8" .
The given question is incomplete , the complete question is
For what value of a is (x - 5) a factor of x³ -3x² +ax -10 ?
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3) 14, 9, 20, 5, 17, 13 mean:
median:
mode:
range:
Answer:
mean: 13
range: 15
there is no mode
median: 13.5
Step-by-step explanation:
mean= 14+9+20+5+17+13 = 78
78÷6= 13
range = highest number minus the smallest number
20-5 = 15
the mode is the number that occurs the most
median= 13+14= 27
27÷2 = 13.5
what is the length of a rectangle whose preimeter is p, if the width is 6 express using algebra
Answer:
[tex]l=\dfrac{p}{2}-6[/tex]
Step-by-step explanation:
Given that,
The perimeter of a rectangle = p
Width = 6
We need to find the length of the rectangle.
The formula for the perimeter of a rectangle is given by :
[tex]p=2(l+b)[/tex]
l is length
Put b = 6
So,
[tex]p=2(l+6)\\\\\dfrac{p}{2}=l+6\\\\l=\dfrac{p}{2}-6[/tex]
So, the required length is equal to [tex]\dfrac{p}{2}-6[/tex].
2
a) 81 cm
2
b)90cm
2
c)108cm
2
d)162cm
Answer:
90, B
Step-by-step explanation:
3 x 3 = 9
3 x 3 = 9
6 x 3 = 18
6 x 3 = 18
6 x 3 = 18
6 x 3 = 18
9 + 9 + 18 + 18 + 18 + 18 = 90
if p and q vary inversely and p is 17 when q is 15, determine q when p is equal to 5
Answer:
Step-by-step explanation:
q = 51
Writing these statements symbolically, we get p = k/q. This is inverse variation.
Solving for k, we get k = pq. Thus the governing equation is k = pq, or k = (17)(15) = 255.
We then have a specific equation: p = 255/q, or q = 255/p.
If p is 5, q is q = 255/5 = 51
1. The following circle graph was published in the Cane County annual report. If there are 1,000 registered voters in Cane County how many are 35-45 years old?
A 150 voters
B 250 voters
C 300 voters
D 350 voters
Answer:
C
Step-by-step explanation:
trust
is a negative number to the seventh power negative
7 is an odd number since it can't be divided evenly by 2.
A negative number taken to an odd power will always be negative.
For example, -1⁵ is -1 because 5 is an odd number.
someone help me please
$45 - 15% = $38.25
$53 - 20% = $42.04
So the Forever 21 dress would cost less.
Hope this helped.
What X !!!!!!!!!!!!!!!!!! Help me please!!!!
Answer:
x = 135°Step-by-step explanation:
According to the problem,
45° + x = 180° [Linear pair]
=> x = 180° - 45°
=> x = 135° (Ans)
Answer:
The value of x is 135°.
Step-by-step explanation:
This figure displays a straight angle, meaning that its measure is 180°.
180° - 45° = 135°
Since angle x is indeed an obtuse angle, the answer is correct! Hope this helps; have a great day.
The first 3 common denominators of 1/12and 1/4 are
Harriet is helping her brother paint an art project like the one shown below. They plan to paint only the lateral faces. One quart of paint covers 87 square feet.
If only full quarts can be
purchased, how many quarts of paint will they need to complete
the project if they plan on using one coat of paint?
which values are solutions to x 5
standard form of f(x)=(x-1)(x+2)(x-3)
Answer:
f(x)=x^3-2x^2-5x+6
Step-by-step explanation:
this should be right if it isn't, then you probably wrote it wrong.
Answer:
x^3 - 2x^2 - 5x+ 6
Step-by-step explanation:
The price of an item has been reduced by 70%. The original price was 70$. What is the price of the item now?
Answer:
21
Step-by-step explanation:
original price-reduced price
100%-70%=30%
100%=70
30%
30%/100%*70=21
=21$
Guys Please Help I’m stuck on this question?!!!!!
Answer:pretty sure it’s the last one
Step-by-step explanation:
It’s asking for the negative version...
Answer:
the third one.
Step-by-step explanation:
lolololololololololol
Yana, Josh, and Katrina are standing at the vertices of a righi triangle as they
throw a frisbee. Yana and Josh are standing 15 feet apart, Josh and Katrina are
standing 12 feet apart, and Katrina and Yana are standing 9 feet apart.
Tree joins the game and stands between Yana and Josh.
What is the shortest possible distance between Trae and Katrina?
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is the diameter of a circle if the circumference is approximately 47.12 ft?
FREE POINTSS
Answer:
94.24 ft and thank you!
Step-by-step explanation:
Answer:94.24ft
Step-by-step explanation:thx :)
solve for x.
hint: use your knowledge of parallel lines. what do you know about these angles? are they congruent or supplementary?
Answer:
x = 11
Step-by-step explanation:
The given angles are supplementary which means their sum is 180
8x - 6 + 98 = 180 add like terms
8x + 92 = 180 subtract 92 from both sides
8x = 88 divide both sides by 8
x = 11
the product of 5 and a number X is 22
i dont need what it equals
Inverse operations to the rescue!
So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4
[Please read first] I will NOT be taking links or download files as an answer you may NOT get credit for it thank you.
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism, [ ] cubes are needed.
Answer:
108
Step-by-step explanation:
To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST
Answer:
median
Step-by-step explanation:
There are 15 numbers so we have to find the median that is in the center.
median = 9
Help me plzzzzzzzzzw bc
Answer:
Value of a in term of x = 8/x
Step-by-step explanation:
Given:
14 = ax + 6
Find:
Value of a in term of x
Computation:
⇒ 14 = ax + 6
Step 1; Subtract 6 from both side
⇒ 14 - 6 = ax + 6 - 6
We get step 2
⇒ 8 = ax
Divide x from both side and we get step 3
⇒ 8 / x = ax / x
Step 4
⇒ 8/x = a
Step 5
⇒ a = 8/x
Value of a in term of x = 8/x
Find the equation of the line that
is parallel to y = 2x + 5 and
contains the point (2, -4).
y = 2x + [?]
Answer:
y=(9,-8)
Step-by-step explanation:
2(2,-4) will give you (4,-8)
therefore y=(4,-8)+5
4+5 which is 9 and nothing will be added to -8
y=(9,-8)
Answer:
y=2x-8
Step-by-step explanation:
PLS HELP ASAP I WILL GIVE BRAINLEAST!!!!!
Answer:
I did the FSA review so
Step-by-step explanation:
The answers can either be
301.6
301.4
301.7
All are right
Answer:
301.6 hope this help! also have a nice day
to rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee of $6 per hour. The chemistry club wants to spend at most $72 on renting the room. what are the possible numbers of hours the cemetery club could rent the meeting room? use t for the number of hours. write your answer as an inequality solved for t.
Answer:
t ≤ 9 hours
Step-by-step explanation:
Reservation fee = $18
Additional fee per hour = $6
Let x = number of hours
At most in inequality means ≤ less than or equal to
The inequality is
18 + 6t ≤ 72
6t ≤ 72 - 18
6t ≤ 54
t ≤ 54/6
t ≤ 9 hours
Yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!
Answer:
10.7
Step-by-step explanation:
cos48 = x/16
0.6691306 = x/16
x=10.706=10.7
The distance from city a to city b is 1400 miles and from city a to city c is 500 miles. Estimate how many miles farther city b is from city a than city c is
Answer:
900 miles
Step-by-step explanation:
Given that:
Distance from City A to city B = 1400 miles
Distance from City A to City C = 500 miles
Miles farther city B is from city A than city C is ;
Distance from A to B - Distance from A to C
1400 miles - 500 miles
= 900 miles
I HAVE 2 MIN PLS HELP
Answer:
C (ignore this it asked for 20 characters)
[tex]\sqrt20xy*\sqrt4xy^2\\[/tex]
Answer:
4xy in front of the square root of 20xy
Step-by-step explanation:
18 is 3 times as much as 6
Answer:
That is correct
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
True
Step-by-step explanation:
18 = 3 x 6
Find the area of the right triangle with hypotenuse of 12ft.