Given:
Polynomial = P(x) = 3x² + kx + 6
Factor of the ablove polynomial = (x+3)
To Find:
Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6
Solution :
Now,
x + 3 = 0
⇒x = (-3)
So,
As (x+3) is a factor so x = (-3) is one root of the polynomial.
Therefore,
P(-3) = 0
→ P(-3) = 3(-3)² + k(-3) + 6 = 0
→ 3(9) - 3k + 6 = 0
→ 27 - 3k + 6 = 0
→ 27 + 6 - 3k = 0
→ 33 - 3k = 0
→ - 3k = -33
→ k = -33 ÷ -3
→ k = 11
Hence,For the value of k = 11, (x+3) is a factor of 3x²+ kx + 6V E R I F I C A T I O N :3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero
→ 3x²+ 11x + 6
→ 3(-3)² + 11(-3) + 6
→ 3(9) - 33 + 6
→ 27 - 33 + 6
→ 27 + 6 - 33
→ 33 - 33
→ 0
Hence verified !
Which of the following tables represents a function?
Answer:
The answer is A x can not have two of the same numbers
Step-by-step explanation:
Si sen A = 7/25 donde "A" pertenece al segundo cuadrante y el cos B = -4/5 donde "B" pertenece al segundo cuadrante Calcular cosec(A).cos(B).tan(A).cot(B)
Which one is correct? Please hurry
Ella wants to buy a new uniform for work that costs $32. Her employer promises to pay 20% of the cost, while Ella must pay the rest. How much money will her employer pay?
Please help The sum of two numbers is 36 and the difference is 6. What are the numbers?
Answer:
15 and 21
Step-by-step explanation:
Answer:
15 and 21
Step-by-step explanation:
Best answer gets brainliest hurry ASAP
Answer:
its b
Step-by-step explanation:
mark as brainliest plz im right
Answer:
b
Step-by-step explanation:
the ratio answer is b.
A company offers two monthly plans. Plan A costs $ 25 plus an additional $0.10 for each minute of calls. Plan B costs $18 plus an additional $0.15 for each minute of calls.
Answer:
The indifference point is 140 minutes.
Step-by-step explanation:
Giving the following information:
Plan A costs $ 25 plus an additional $0.10 for each minute of calls.
Plan B costs $18 plus an additional $0.15 for each minute of calls.
First, we need to establish the total cost formula for each plan:
Plan A= 25 + 0.1*x
Plan B= 18 + 0.15*x
x= number of minutes
Now, to calculate the indifference point, we equal both formulas and isolate x:
25 + 0.1x = 18 + 0.15x
7 = 0.05x
140=x
The indifference point is 140 minutes.
Prove:
Plan A= 25 + 0.1*140= $39
Plan B= 18 + 0.15*140= $39
find the values
using
expansion formula
1) 1.5×2.5
Answer:
[tex]3.75[/tex]
Step-by-step explanation:
[tex]1.5 \times2. 5 \\ = 3.75[/tex]
Please can I have the brainliest?
Have a nice day!
Divide
x3 + 3x2 - 2x + 2 by x + 3
Answer:
[tex]x^{2} -2+\frac{8}{x+3}[/tex]
Step-by-step explanation:
Write the number 1.7 x 10^-5 in standard form
Answer:
0.000017x
I hope this is correct
Gabe earns 40.50 for working at coffee shop for3 hours. How much does he make in one hour?
Answer:
13.50 is the answer
Step-by-step explanation:
40.50/3=13.50
Which describes the correct way to convert minutes to hours?
Divide the number of minutes by 24.
Multiply the number of minutes by 24.
Divide the number of minutes by 60.
Multiply the number of minutes by 60.
Answer:
Divide the number of minutes by 60.
Step-by-step explanation:
“What is the percent of increase from 64 to 80?”
Please help me I’m almost done!
Answer: 25%
The percentage change between 64 and 80 is a 25% increase.
Step-by-step explanation:
Answer:
Percent of increase - 80 - 64 = 16
% increase = Increase ÷ Original Number × 100.
= 16 ÷ 64 × 100
= 25 ℅
hey guys please answer if you know
Answer:
19
Step-by-step explanation:
note that
(a + b)² = a² + b² + 2ab , that is
a² + b² + 2ab = (a + b)² ← subtract 2ab from both sides
a² + b² = (a + b)² - 2ab
= 5² - 2(3)
= 25 - 6
= 19
Answer:
19
Step-by-step explanation:
since value of both a+b and a*b are given
formula for a^2 + b^2 is (a+b)^2-2*a*b
Substituting those value,
a^2+b^2=5^2-2*3
i.e. 25-6
=19
i need help asapppppppppp
Answer:
58
Step-by-step explanation:
if 16^x=1/64find the value of x
Answer:
x= -3/2, -11/2 or -1.5
Answer:
Step-by-step explanation:
16^x=1/64
[tex](2^4)^x=64^{-1} =(2^6)^{-1}=2^{-6}\\2^{4x}=2^{-6}\\4x=-6\\x=-\frac{6}{4} =-\frac{3}{2}[/tex]
if you eat 4 medium strawberries you get 48% of your daily recommended amount of vitamin c what fraction of your daily amount of vitamin c do you still need
What is the probability that when you roll a standard 6-sided number cube, you roll a number more than 6?
A. Certain
B. Impossible
C. Likely
D. Unlikely
As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it. What is the rate at which her car is using gas.
Answer:
7.25 per hour
Step-by-step explanation:
factor 2x² + 9x + 4
blah blah blah random charactors
Answer:
revers card
Step-by-step explanation:
Answer:
( 2 x + 1 ) ( x + 4 )
Step-by-step explanation:
Mrs. Williams combined 3 ½ cups of peat moss, 5 ¼ cups of compost , and 6 ¾ cups of fertilizer to make plant food for her roses. She evenly distributed the plant food among 4 rose bushes. How many cups of plant food were used for each rose bush?
Answer:
3 7/8 cups plants food
Step-by-step explanation:
peat moss = 3 ½ cups
compost = 5 ¼ cups
fertilizer = 6 ¾ cups
Total mixture = peat moss + compost + fertilizer
= 3 ½ cups + 5 ¼ cups + 6 ¾ cups
= 7/2 + 21/4 + 27/4
= 14+21+27/4
= 62/4
Total mixture = 62/4 cups
She evenly distributed the plant food among 4 rose bushes
Each rose bush uses = Total mixture / number of rose bushes
= 62/4 ÷ 4
= 62/4 × 1/4
= 62/16
= 3 14/16
= 3 7/8 cups plants food
Each rose bush uses = 3 7/8 cups of plants food
A builder makes staircases where each step is 28 cm long and rises 18 cm so people don't trip. Every staircase has a stringer - a diagonal support connecting all of the steps.
factor 147a^2b-675b^3
Answer:Factor the polynomial
3(a−4b)2
If anyone knows the answer please help!
What does the discriminant tell us if it is -10?
I need help by the end of today!
Answer:
theres no picture that comes with it?
PLZ HELP PLZ HELP THANK YOU
Answer:
option C is a the right answer ...
plz mark my answer as brainlist plzzzz vote me also so
Can somebody tell me this please .. ASAP ??
Answer:
y = -3/2x - 4.5
Step-by-step explanation:
Answer:
y= -2/3x - 4.5
Step-by-step explanation:
-2.3 is the slope. its negative since the line falls to the right
-4.5 is the y-intercept
Please help and thank you
50 POINTS !!!
answer choices:
5(x+3)=17
3x+5=17
5x+3=17
3(x+5)=17
Answer:
1. 3(x + 5) = 17
2. 3x + 5 = 17
3. 5(x + 3) = 17
4. 5x + 3 = 17
Round 9 1/3 to the nearest whole number
Answer:
Nearest Whole Number: 9
Step-by-step explanation:
Answer:
im guessing it would just be 9
Step-by-step explanation:
because its 1 out of three so that leaves two so its closest to 9