Given:
The function is
[tex]f(x)=2x^2+kx-9[/tex]
The remainder when f(x) is divided by x+6 is 57.
To find:
The value of k.
Solution:
According to the remainder theorem, if a polynomial function f(x) is divided by (x-a), then f(a) is the remainder.
The remainder when f(x) is divided by x+6 is 57.
Using remainder theorem, we get f(-6)=57.
Putting x=-6 in the given function.
[tex]f(-6)=2(-6)^2+k(-6)-9[/tex]
[tex]57=2(36)-6k-9[/tex]
[tex]57=72-6k-9[/tex]
[tex]57=63-6k[/tex]
On further simplification, we get
[tex]6k=63-57[/tex]
[tex]6k=6[/tex]
[tex]k=\dfrac{6}{6}[/tex]
[tex]k=1[/tex]
Therefore, the value of k is 1.
Answer:
person above lol
Step-by-step explanation:
Pls help me someone!!!
Answer:
n^2(radical)7
Step-by-step explanation:
You have to find the square root of all the components separately. 7 is not a perfect square (one number*itself = perfect square, ex 4 is the perfect square of 2 because 2*2=4) but the n^4 can be simplified and brought outside of the radical. When finding the square root of variables with exponents they have to come out in pairs to create that "perfect square." Therefore when you move a variable, you basically divide the exponent by 2. so n^4 inside the radical becomes n^2 outside of the radical, leaving the problem itself to become n^2 (radical) 7.
60PTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS HELP IMA FAIL
1.Which recursive formula fits the following pattern?
50, 25, 12.5, 6.25, 3.125...
A(n+1) = A(n) ÷ 2, A(1) = 50
A(n+1) = A(n) − 2, A(1) = 50
A(n+1) = A(n) ÷ 50, A(1) = 50
A(n+1) = A(n) − 50,A(1) = 50
2.
What does a7 mean?
3.
Write a Recursive and Explicit Sequence for the following pattern.
1, 5, 9, 13, 17...
4.What are the first 5 terms in the following recursive sequence?
A(n+1) = A(n) × 3 A(1) = 2
5.
Which Explicit formula would fit this pattern?
3,7,11,15,19...
*Remember, you can check by plugging in the term numbers to see if you get the correct output*
1. Answer:
i dont know
Step-by-step explanation:
they didnt teach me this
2. Answer:
a7 means what ever a is you have to multiply it by 7
Step-by-step explanation:
When ever you see a letter infornt or followed by a number you always multiply it by the number.
3. Answer:
1, 5, 9, 13, 17, 21, 25, 29, 33, ect.
Step-by-step explanation:
Just keep adding four
5. Answer:
3, 7, 11, 15, 19, 23, 27, 31, ect.
Step-by-step explanation:
Just keep adding four
Answer:
1) A(n+1) = A(n) ÷ 2, A(1) = 50
2) 7 multiplied by a.
3) 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, .... (add 4 each time)
4) A(n+1)=A(n) x 3A(1)=2
2, 5, 8, 11, 14
5) 3, 7, 11, 15, 19,... A(n+1)=A(n)+4, A(1)=3
Step-by-step explanation:
How did the Medieval Church control people's lives?
Answer:
The Church regulated and defined an individual's life, literally, from birth to death and was thought to continue its hold over the person's soul in the afterlife
Pls mark Brainliest
Step-by-step explanation:
Gina made a scale drawing of a house and its lot. She used the scale 1 inch: 4 feet. If the house's
driveway is 9 inches in the drawing, how long is the actual driveway?
feet
Answer:
The driveway is 36 feet
Step-by-step explanation:
1 in = 4 feet
2 in = 8 feet
This shows us that you have to multiply 4 by how many inches there is.
how to write a fraction in interval notation
Answer:
So it's all real numbers except for that value okay now I want to show you guys how to write that in interval. Form because it we wrote all real numbers as negative infinity to infinity
Step-by-step explanation:
PLEASE ANSWER PLEASEE!!!!!!!
Answer:
they would both be 61°
Step-by-step explanation:
when the angles make out a straight line it equals to 180 and 180 subtracted to 119 comes out to 61 and both b and c are vertical angles which would make them congruent
Answer:
B= 61 C=61
Step-by-step explanation:
You can see how there is a straight line (180 degrees) so if you do 180-119 you get 61 degrees
Please help asap will mark brainleist
Answer:
B - ( 1, 3 ) D - ( 1, -2 )
Step-by-step explanation:
-8x + 10 = -62
4 + 3x = 25
4x + 2x + 5 = 41
5x - 8 = 32
3 + 6x = 21
5 - 2x = 15
8x + 10 = -38
-36 = -4x -16
-5 + 3x = -26
8x - 5 = -29
Show full work please
Answer:
I will do 4 questions and you can solve the rest I did.
Hope this help, thank you !!
y = 2x – 1
x + y = 2
Answer:
x = 1, y = 1
Step-by-step explanation:
plug y = 2x - 1 into the equation x + y = 2:
[tex]x + (2x - 1) = 2\\3x - 1 = 2\\3x = 3\\x = 1[/tex]
plug that into the equation y = 2x - 1
[tex]y = 2*1-1\\y=2-1\\y=1[/tex]
I need help on this question
Answer:
D
Step-by-step explanation:
What is the equation of the line that passes through the point (-3, 5) and has a
slope of -2?
Answer:
y = -2x - 1
Step-by-step explanation:
y=mx+b
5= -2(-3) + b
5= 6+b
5 - 6 = b
-1 = b
Convert 36000cm^2 to m^2
Answer:
its 3.6
Step-by-step explanation:
2 x 3/5 as a fraction or a as a whole or mixed number
Answer:
6/5 OR 1 1/5
Step-by-step explanation:
2 x 3/5 = 6/5 OR 1 1/5
Hope that helps!
a leaf blower runs on a mixture of gas and oil. the ratio or ounces of gas to ounces of oil is 40 to 1. how many ounces of gas does the leaf blower need for 2 ounces or oil?
Answer: 80 ounces
Step-by-step explanation:
40 : 1 = x : 2 where x = ounces of gas.
To get from 1 to 2, we multiplied by 2. So, we must also multiply 40 by 2 = 80.
Answer: The answer is 80 ounces
Step-by-step explanation:
I got it right
Gary ran 6 more laps than Edwin during track practice. Together they
ran 40 laps. How many laps did each person?
Answer:
edwin 14, gary 20
Step-by-step explanation:
An art gallery had 12 paintings for sale.
A customer bought 3 paintings.
What fraction of the paintings are still for sale?
Answer:
3/4
Step-by-step explanation:
what is the reference angle for 300 degrees
Answer:
60 degrees
Step-by-step explanation:
360 minus 300 = 60.
mr rolando sold the house and that at 10, 500,000,000.00 if he will receive 4% commansion, how much his commansion?
Answer:
$420,000,000
Step-by-step explanation:
Multiply 10,500,000,000 by .04.
Hope this helps!
i need help pleases and thanks
Answer:
associative
Step-by-step explanation:
hope dis helps
Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour.
Answer:
Mai makes 5 signs
Clare makes 3.75 sings
Noah makes 6 sings
together they make 14.75 sings
Step-by-step explanation:
Mike has $40, which is $6 more than twice the amount of money that Karly has. How much money does Karly have?
Answer:
karly has 68 dollars
Step-by-step explanation:
40-6=34
34×2=68
In the right triangle shown, m\angle K = 60\degreem∠K=60°m, angle, K, equals, 60, degree and KL=2KL=2K, L, equals, 2.
How long is JL?
Answer:
Step-by-step explanation:
2 squartroot 3
The length (JL) of the right-angle triangle will be 1.732 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
In the right triangle shown, angle ∠K = 60° and KL is 2. Then the measure of the length JL will be given by the sine the angle ∠K. Then the equation is given as,
JL / KL = sin ∠K
h / 2 = sin 60°
h / 2 = √3 / 2
h = √3
h = 1.732 units
The length (JL) of the right-angle triangle will be 1.732 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
Hello, I need help on this question. I dont understand it and have been getting the answer incorrect. I am embarrassed to ask my teacher for help so please help
Answer:
1). 16 π cm^2
2). 112 π cm^3
3). 351.68 cm^3
***If the explanation doesn’t make sense, let me know, and I’ll try to explain in a different way.
Are the following functions linear or nonlinear?
Answer:
Linear
Step-by-step explanation:
Calculate
8 - 72 - 8+8-6
Answer:
-70
Step-by-step explanation:
help. help. help. alegbra ll honors
Answer:
Step-by-step explanation:
Find the 25th term in the arithmetic sequence: 23, 223, 423, 623,...
Answer:
823
Step-by-step explanation:
count by 30s to get the answer thats how i got 823
( HELP! ) Charlie works at Jupiter donuts. He makes $12 per hour and gets a monthly bonus of $150. Last month, Charlie earned $390. Which equation can be used to find the number of hours (h) Charlie worked?
"Wake up to reality. Nothing ever goes as planned in this world. The longer you live,the more you realize that only pain, suffering and futility in this reality"- madara uchiha
what does this quote mean to you?
Answer:
The world isn't as cute as it is in cartoons.
Step-by-step explanation:
I feel like it means that we need to start realizing that the world isn't as sugarcoated as our parents tell us.
The older you get you'll realize that.
Answer:
My pain and suffering...
Step-by-step explanation:
HELP WILL MARK BRAINLIEST PLSS
John walks in the bearing of 75° and stops when he is 12 km North of his starting point.
How far did John walk?
Answer:
It number 1 trust me pls se
Step-by-step explanation: