Given f(x) = 3x^3 - 8x + k, and x – 1 is a factor of f(x), then what is the value
of k?
Answer:
k = 5
Step-by-step explanation:
Given that (x - h) is a factor of f(x) then f(h) = 0
Given (x - 1) is a factor of f(x), then f(1) = 0, that is
3(1)³ - 8(1) + k = 0
3 - 8 + k = 0
- 5 + k = 0 ( add 5 to both sides )
k = 5
The value of k in the polynomial f(x) = 3x³ - 8x + k is 5.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, f(x) = 3x³ - 8x + k, and (x - 1) ⇒ x = 1 is a factor of f(x),
∴ If we replace 1 in place x and make f(x) = 0 and equate we will have the value of k.
So, 0 = 3(1) - 8(1) + k.
0 = 3 - 8 + k.
k = 5.
learn more about factor of a polynomial here :
https://brainly.com/question/28315959
#SPJ2
withdraws $ from bank account once each day for days. What integer represents the change in the amount in the account? Use pencil and paper. Find the integer that would represent the change in the amount in the account if deposits $ into bank account once each day for days. Explain the difference between the integer for the withdrawals and the integer for the deposits.
Answer:
a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.
He does this 4 times so;
= 4 * -11
= -$44
b. He then deposits $11 once every day for 4 days.
= 4 * 11
= $44
c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.
slope -3/4 and y-intercept 9.
Answer:
The equation would be:
Y=-3/4 + 9
Step-by-step explanation:
Hope it helps.
Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet,
56 feet, and 70 feet form a right triangle?
Yes, because 422 +582 702
Yes, because 422 +562 = 70.
No, because 422+562 702.
No, because 422+562 = 702.
(it's b)
Answer:
yes because 422+ 562= 70
Marisa has studies 1 1/2 hours today.That is 3/10 of the time ahe plans on studying today.How long does Marisa plans on studying today? Need help!!!!!
Answer:
Marrisa plans on studying for 5 hours today!
Step-by-step explanation:
1.5 hours = (3/10) of X ...... where X is the "number of hours she plans on studying today" and OF means to multiply....
so..... 1.5 = (3/10)X
then you will solve for X!
Multiply by 10 on both sides and you get: 15= 3X
then divide by 3 on both sides and you get your answer! 5 = X
ASAP WILL MARK BRAINLIEST
Four solutions.
This is an example of a non-linear (this one is quadratic) system with 2 variables. Quadratic equations have 2 roots, this system has two equations that means 4 solutions.
Hope this helps.
I need help T-T hehehehehehehe
Answer:
hehhehhe what the other guy said lol 10+9=21
what is 2x=9 I need help asap plzzzzz
Answer:
4.5
Step-by-step explanation:
2x=9
x=9/2
=4.5
Answer:
x = 4.5
Step-by-step explanation:
[tex]2x=9\\\\\text{Divide both sides by 2.}\\\\\frac{2x=9}{2}\\\\\boxed{x=4.5}[/tex]
Hope this helps.
x = 7x - 5 = 2x + 5
Answer:
X = 10/9
Step-by-step explanation:
7x - 5 = 2x + 5
7x - 2x = 5 + 5
9x = 10
X = 10/9
is the correct rate 1.20$ per hotdog?
Answer:
true
Step-by-step explanation:
The conference room can hold fewer
than 100 people
Answer:
ok
Step-by-step explanation:
Answer:
Is there any attachments to this question?
Step-by-step explanation:
Brainliest!!
Which of the following angle pairs are supplementary?
A. 40 and 50
B. 111 and 79
C. 36 and 64
D. 111 and 69
Answer:
d
Step-by-step explanation:
BC supplementary means they add up to 180 and answer d adds up to 180
the product of -3/4 and a number x is -27. on writing the equation and solving it x=
Answer: -3/4*x=-27
x=36
Step-by-step explanation:
-3/4*x=-27
Divide on -3/4 on both sides:
-3/4/-3/4*x=-27/-3/4
x=36
Can you help me please
Answer:
(-5, 7)
Step-by-step explanation:
Answer:
(7,-5)
Step-by-step explanation:
the layout of the coordinate point always goes (x-axis, y-axis), aka (x,y).
so, to do this, you first find the line on the x-axis that coordinate "f" falls on, which would be line 7 on the x-axis.
then, you find the line on the y-axis that coordinate "f" falls on, which would be line -5 on the y-axis.
I hope this was helpful, let me know if there's any questions, as well as if you got it correct :)
help pls i’ll give out extra points
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
Please mark Brainliest!
Please help thank you!!!
is the relation a function?
choose correctly
marking brainlist
Answer: D. This relation is not a function because the input 18 has two different outputs, 9 and 24.
Step-by-step explanation: Remember that in order for it to be a function, each input has one output. There can't be 2 x-values because it would immediately cause it to not be a function.
plz, help this do at 9:00
Three customers have accounts owing money. The table shows the account balances.
Which customer owes the least amount of money?
Customer Balance
M. Palmer –$56.72
B. Leftwich –$74.19
R. Jordan –$54.31
M. Palmer
B. Leftwich
R. Jordan
Answer:
B
Step-by-step explanation:
The answer is B no questions GO GO GO SUBTRACTION SIGN MEANS THEY OWE MONEY
An architect planned to construct two similar stone pyramid structures in a park. The
figure below shows the front view of the pyramids in her plan, but there is an error in
the dimensions:
Which of the following changes should she make to the length of side AB to correct
her error? (6 points)
1) Change the length of side AB to 2 feet
2) Change the length of side AB to 8 feet
3) Change the length of side AB to 1 foot
4) Change the length of side AB to 4 feet
Answer:
1) Change the length of side AB to 2 feet
Step-by-step explanation:
Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.
To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:
[tex] \frac{PR}{AC} = \frac{PQ}{AB} [/tex]
We will assume AB is unknown.
PR = 7.5 ft
AC = 2.5 ft
PQ = 6 ft
Plug in the values into the equation
[tex] \frac{7.5}{2.5} = \frac{6}{AB} [/tex]
Cross multiply
[tex] AB*7.5 = 6*2.5 [/tex]
[tex] AB*7.5 = 15 [/tex]
Divide both sides by 7.5
[tex] AB = 2 [/tex]
The architect should change the length of AB to 2 ft
Consider the equation 1.5x+4.5y=18. If we graph the equation, what is the
slope of the graph?
m= 3
m = 1.5
m = 4.5
m = -1/3
can someone help me plz
i need #6,7,8
7. subtract 3
x=(-2)
x=2
8. 8c-4=20
add 4
8c=24
divide 8
c=3
9.[tex]\frac{h+9}{5} =\frac{h-1}{3} \\[/tex]
Given that RHMO is a rhombus, find x, given that m ∠ 3 = 8x - 6
Answer:x = 12
because RHMO is a rhombus => MH⊥RO
=> m∠3 = 90°
⇒ 8x - 6 = 90°
⇔ 8x = 96
⇔ x = 96/8 = 12
Step-by-step explanation:
solve using substitution method.
y=5,696x+25)
y = 9.49(x+6)
please help i answered but i just want to make sure it’s correct!
Answer:
y=56.9933034497, x=.00561680186
Step-by-step explanation:
Brainliest 5 stars Thanks!
which of these statements is true for f(x)=3x9^x
Answer:
a
Step-by-step explanation:
what is 5 times (2+8)+(12-6/3)times2
Answer:
5(2+8)+(12-6/3)2
5(10)+(12/1-6/3)2
50+(36/3-6/3)2
50+(30/3)2
50+60/3
50+20
70
Step-by-step explanation:
Answer: 70
If the equation is [tex]5(2+8)+(12-\frac{6}{3} )2[/tex]
[tex]5*10+(12-2)*2[/tex]
[tex]5*10+10*2[/tex]
[tex]10(5+2)[/tex]
[tex]10*7[/tex]
Answer: 70
Please mark brainliest if correct :)
what is x divided by 2= 4.5 Pls help with this.
Answer:
9
Step-by-step explanation:
9/2= 4.5
Hurry please help ASAP !!!
Answer:
vertical angles
Step-by-step explanation:
Please help me I am stressed it is ratio tables
Answer:
1.
1/2/3/4/5/32
3/6/9/12/15/96
2.
1/2/3/4/5/12
8/16/24/32/96
3.
2/4/6/8/10/12
3/6/9/12/15/18
Step-by-step explanation:
ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck
HELP PLZZZZ
1.) is 67.95 an integer
2.) is 54/9 an integer
3.) is 19 an integer
4.)is 544.88 an integer
5.) is 7/6 an integer
Answer:
Step-by-step explanation:
no
no
yes
no
no
an integer is a whole number positive or negative or zero.
... ,-3,-2,-1,0,1,2,3,... are integers.