f(x)=x^3+2x^2-6x+9
when f(x) is divided by x+a, the remainder is R, when divided by x-a, the reminder is 2R
a) show that 3a^3-2a^2-18a-9=0
b) solve the expression completely
Answer:
Step-by-step explanation:
Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies. How much of the chocolate chips will she use in each batch of cookies?
Answer:
1 1/3 bags of chocolate chips
Step-by-step explanation:
If Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies, then we can say;
2 1/4 bags of cookies = 3 batches of chips
To determine how much of the chocolate chips will she use in each batch of cookies, we can say;
1 bag of cookies = x batches of chips
Equating both expressions
2 1/4 bags of cookies = 3 batches of chips
1 bag of cookies = x batches of chips
Cross multiply
2 1/4 x = 3
9/4 x = 3
9x/4 = 3
9x = 12
x = 12/9
x = 4/3
x = 1 1/3
Hence Alana will need 1 1/3 bags of chocolate chips
The ratio of dogs to cats 2 to 5. If there are 20 cats, how many dogs are there?
Answer:
50
Step-by-step explanation:
2 * 10 = 20
5 * 10 = 50
therefore there are 50 dogs
What is the volume of a pyramid that has the same base and height as this prism?
the length is 3 and the width is 3 and the height is 9
Answer:
Step-by-step explanation:
The answer is 18
Answer:
27
Step-by-step explanation:
Can someone help me? Will make you the brainiest
Answer:
D y=-1/2(x-3)+6
Step-by-step explanation:
the slope is -1/2 then you do rise/run and simplify and you'll get the answer
please answer/ HELP ME I am using ALL of my points to ask this !!! Write the equation for the quadratic function in the graph.
Answer:
C matches the graph the best
Step-by-step explanation:
is 1:2:3 equivalent to 2:4:6
Answer:
Yes it is.
Step-by-step explanation:
Just multiply everything by 2.
Write two truths and a lie about the graph shown below (I have no idea what they are trying to ask)
An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?
please help i really need help A.S.A.P :)....pls help me....... thanks ..........
Answer:
593.14 m
Step-by-step explanation:
Given that :
Length of rig visible above water surface (sea. Level) = 74.98m
Length of rig below surface of water (sea level) = 518.16 m
The total height of the rig:
The surface of water is usually regarded as a zero point ;
Hence. The total height of rig will be the sum of the height above sea level and the length below water surface
=(74.98 + 518.16) m
= 593.14 m
An amoeba splits to form two amoebas after one hour. One hour later, each of the two amoebas split to form two more. Every hour, each amoeba splits to form two more.
1. How many amoebas are there after 2 hours?
2. How many amoebas are there after 6 hours?
3. Write an expression for the number of amoebas after 8 hours.
9514 1404 393
Answer:
4 64 2^8Step-by-step explanation:
1. The problem statement tells you there are 4 amoeba after 2 hours.
__
2. The number starts at 1 and doubles each hour. After 6 hours, there will be ...
2^6 = 64 amoeba
__
3. After 8 hours, the number is 2^8.
The residents of a city voted on wether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there was 6856 yes votes, what was the total number of votes
Answer:
The total number of votes cast in the election was 11,141.
Step-by-step explanation:
To determine the number of negative votes in the voting, taking into account that the ratio of votes between positive and negative is 8 to 5 and that there were 6,856 positive votes, it is necessary to perform the following calculation:
6.856 / 8 x 5 = X
857 x 5 = X
4.285 = X
Therefore, there were 4,285 negative votes in the election. So, since 4,285 + 6,856 equals 11,141, the total number of votes cast in the election was 11,141.
x^2 + 1/2x+?
ayooooo i need help
Answer:
1/16
Step-by-step explanation:
using a^2 +2ab + b^2
(1/2)/2 = 1/16
(1/16)^2
b = 1/16
HELP ME PLEASE I HAVE BEEN ON THIS QUESTION FOR 5 YEARS NOW WHATS THE ANSWER???????
2+1=
(if y’all dont get the joke-)
Help!! I’ve been Stuck on this last problem
Answer:
..
x = 86
y = 94
z = 54
........
2. Find m21.
39°
1
30°
860
Answer:
∠ 1 = 69°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle, thus
∠ 1 = 39° + 30° = 69°
Pls answer if u know :)
This is a very important homework and i was gone for days so idk
Answer:
Option B
Step-by-step explanation:
Slope of the line is calculated by the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\[/tex]
We have the points ( -2 , 4) and (3 , -5) so plug in the values in the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-5-4}{3-(-2)}\\\\m=\frac{-9}{5}\\[/tex]
so the slope(m) equals -9/5
Part 1:
A year ago, Ray's puppy weighed 8 pounds. Now his puppy weighs 25 pounds
more. How much does Ray's puppy weigh now? Explain using pictures,
numbers, or words.
Answer:
Puppy's current weight = 33 pounds.
Step-by-step explanation:
The weight of Ray's puppy 1 year ago = 8 pounds
Now, his puppy weighs 25 pounds more.All we need is to add the 8 pounds to 25 to determine the current weight.
i.e.
current weight = 8 + 25
= 33 pounds
Therefore, puppy's current weight = 33 pounds.
a 0.5-kg ball accelerated at 50 m/s what was the force applied
The answer will be 25n because force equals mass times acceleration
What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
O (0, 0)
O (0,4)
Is -3/4 the same as -3/-4
Answer:
No, they are not.
Step-by-step explanation:
Hope this helped have an amazing day!
PLEASE HELP 60 POINTS
The table represents the linear function f(x), and the equation represents the linear function g(x).
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
x f(x)
0 1
2 4
4 7
g(x) = 2x + 1
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
Answer: Its most likely C
Step-by-step explanation:
I think
Answer:
c
Step-by-step explanation:
c
A graph for 2x − 5y = −10
Answer:
Step-by-step explanation:
Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
∠ JHF = 69°
Step-by-step explanation:
Since HJ is a midline then it is parallel to EG , thus
∠ JHF and ∠ GEH are corresponding and congruent, then
7x + 62 = 79 - 10x ( add 10x to both sides )
17x + 62 = 79 ( subtract 62 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Thus
∠ JHF = 7x + 62 = 7(1) + 62 = 7 + 62 = 69°
Answer:
7x + 62 = 180
7x= 180 - 62
x = 118 / 7
x = 16
7 × x = 7 × 16
112 + 62 = 174
Step-by-step explanation:
HOPE ITS CORRECT..
Use the graph that shows the solution to f(x) = g(x).
f(x) = -(x + 2)(x - 2)
8(x) = 2x + 21
fx)
What is the solution to f(x) = g(x)?
1
3
Select each correct answer
-2
0
2
3
2
3
-32
Consequently, the graph is correct; and the x values for the solutions are x = -2 and x = 0.
What is the solution to f(x) = g(x)?The solution to f(x) = g(x) is the value(s) of x that satisfy the equation. In other words, it is the value(s) of x that make f(x) equal to g(x).
The only problem here is determining which graph is correct:
f(x) is the same on both graphs;
g(x) = 2 |x + 2| is the absolute value graph of lxl stretched vertically two units to the left;
the "vertex" of lxl is (0, 0);
consequently, the first graph is correct; and the x values for the solutions are x = -2 and x = 0.
To know more about graph, visit:
https://brainly.com/question/11803331
#SPJ1
Guys help plss:////////
Answer:
[tex]f[2-f^{-1}(x)]=x[/tex]
Step-by-step explanation:
Given function is,
f(x) = [tex]\frac{x-1}{2}[/tex]
Equation form of the function will be,
y = [tex]\frac{x-1}{2}[/tex]
Interchange x and y,
[tex]x=\frac{y-1}{2}[/tex]
Solve for y,
y = 2x + 1
Therefore, inverse of the function 'f' will be,
[tex]f^{-1}(x)=2x+1[/tex]
Now [tex][2-f^{-1}(x)][/tex] = 2 - [2x + 1]
= -2x + 1
Value of [tex]f[2-f^{-1}(x)][/tex] = f(2x + 1)
From the given function,
f(2x + 1) = [tex]\frac{(2x+1)-1}{2}[/tex]
= x
Therefore, value of [tex]f[2-f^{-1}(x)]=x[/tex]
15 POINTS!!!
Solve the equation.
x over four – 5 = –8
A. –27
B. –12
C. –7
D. 12
x/4 - 5 = -8
=> x/4 = -8 + 5
=> x/4 = -3
=> x = -3 × 4
=> x = -12
So, answer is B. –12
What is the sum or difference?
19x3 – 13x3
Answer:
the difference is 6x³
Step-by-step explanation:
19x3 – 13x3
=6x³
Answer:
18
Step-by-step explanation:
use pemdas. multiplication comes first and you go left to right. then you subtract the products of 19*3 and 13*3
HELP ME PLEASEE I NEED HELP IN THIS
Answer:
i think the first one is the 5 picture and the 2 one is the 4 picture and the 3 one is the
Step-by-step explanation:
Jorge's dog weighs 14 pounds. How many ounces does he weigh?
Answer: 224
Step-by-step explanation:
Can someone please help me with my math asap
Answer:
A) 15x - 12
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
5x(3 - 12x) - 3(4 - 20x²)
Step 2: Simplify
Distribute: 15x - 60x² - 12 + 60x²Combine like terms: 15x - 12