Answer:
1/4
Step-by-step explanation:
use the slope formula, (y2-y1)/(x2-x1) , or rise over run.
this would give you 2-(-1) divided by 6-(-6)
giving you 3/12, reducing to 1/4
Find the equation for a polynomial f(x) that satisfies the following:
- Degree 5
• Root of multiplicity 2 at x = 3
- Root of multiplicity 1 at x = 1
• Root of multiplicity 2 at x = 3
- y-intercept of (0, -162)
Root x= 3 of multiplicity 2, it means we can factor it with : (x-3)²
Root x = 1, of multiplicity 1, it means we can factor this polynomial with : (x-1)
Root x = -3, of multiplicity 2, it means we can factor this polynomial with : (x+3)²
Finally we get this expression : (x-3)²(x+3)²(x-1)
This expression is a polynomial of degree 5 but what is the y intercept of it ?
Basically, we need to replace x by zero and the value of the expression will be the y intercept :
let x = 0
then ,
(0-3)²(0+3)²(0-1) = 9*9*(-1) = -81 #-162
We need an y intercept of value = -162
Thus we simply need to multiply by 2, and finally f(x) = 2(x-3)²(x+3)²(x-1)
satisfies all the required condition
Good Luck
The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)
Answer:
steps below
Step-by-step explanation:
f(x) = x³
1. shifted four units to the left: f'(x) = (x+4)³
2. eight units down: f''(x) = (x+4)³ - 8
3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8
The final shape after the transformation is f(x) = -(x + 4)³ - 8.
Original function: f(x) = x³
Shifted four units to the left: f(x) = (x + 4)³
Shifted eight units down: f(x) = (x + 4)³ - 8
Reflected in the y-axis: f(x) = -(x + 4)³ - 8
Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.
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The candy store is selling Twizzlers. They have a sale of four Twizzlers for $6.00. Which equation below represents this proportional relationship?
A. y=1.5x C. y= x 2/3 B. x= 4y D. x= 6y
Answer:A. y=1.5x
Step-by-step explanation:
x represents the number of twizzlers
1.5 represents the the price that you have to pay for each Twizzlers
And y represents the total cost
6(2u) what is the answer
12u
there's no step by step
what is the answer to this question
Answer:
a) 32km
b) 40 miles
Step-by-step explanation:
The table below shows the cumulative distance and the number of hours Ryan drove on vacation.
Hours Driving Distance Traveled (miles)
0 0
3 186
4 248
7 434
10 620
Based on the information in the table, at what speed did he drive (miles per hour)?
A.
69 miles per hour
B.
62 miles per hour
C.
52 miles per hour
D.
42 miles per hour
Answer: 62 miles per hour
Step-by-step explanation:
620/10 = 62
The speed of Ryan is given by the slope m = 62 miles per hour
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 3 , 186 )
Let the second point be Q ( 4 , 248 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 248 - 186 ) / ( 4 - 3 )
m = 62 miles per hour
Hence , the rate of change of speed is m = 62 miles per hour
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The sum of two numbers is 20. The greater number is 4 more than three times the smaller number.
Answer:
And x=12 are the two numbers.
Step-by-step explanation:
x+y=20-----(1)
Let x be the larger number of the two.
x=2y-4
Hence 4=2y-x------(2)
Adding (1) and (2) we get 3y=24 so y=8
And x=12 are the two numbers.
y=x-5 find the four points in the inverse
help with this please
Answer:
8
Step-by-step explanation:
we conformed the 8s by 4 and 3
What is the value of 25
Answer:
5 po its my volt
Step-by-step explanation:
yan hooo
A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)
Answer: B. (-3, 0)
Step-by-step explanation:
y = -3x - 9...(1)
y = 3x + 9...(2)
Substitute (1) into (2)
3x+9=-3x-9
6x=-18
x=-3
Substitute y=0 into (1)
y=3(-3)+9
y=0
Therefore, the solution to the system is the ordered pair (-3, 0)
The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:
f(t)=200+1,200(0.73)2t,
where t is measured in years since the computer was purchased.
Use the drop-down menus to complete the explanation of how the function models the computer's value over time.
Answer:
$14000200Step-by-step explanation:
a)Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.
f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1
f(0) = 1400
When t=0, the value of the computer is 1400 dollars.
__
b)The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.
__
c)The exponential term gets closer to 0, so the function value gets closer to ...
f(∞) ≈ 200 +0 ≈ 200
f(t) gets closer and closer to 200.
Answer:
1) 1,400
2) 0
3) 200
Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answer:
$28
20 plus 40 percent
that's the answer
pls can u help me with this question
Answer:
yes less than a min
Step-by-step explanation:
is -74.58 an integer
please help ill mark brainliest
Answer:
Pretty sure it is SAS as the angles are congruent
Step-by-step explanation:
Answer:
number 4
Step-by-step explanation:
both triangles use the aa as a point
Free tutor + free answer thank you give me that please
Answer:
Given that they know the law I think 82.93% of drivers obey this law
Answer:
the answer is
Step-by-step explanation:
i took the test
find the inverse of f(x)=x^2-3x+2
Answer:
Step-by-step explanation:
y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]
Answer:
Step-by-step explanation:
f(x) = x² - 3x + 2
y = x² - 3x + 2
solve for x as a function of y
y - 2 = x² - 3x
complete the square by adding the square of half the x¹ coefficient to each side of the equation.
y - 2 + (-1.5)² = x² - 3x + (-1.5)²
y + 0.25 = (x - 1.5)²
[tex]\sqrt{y + 0.25}[/tex] = x - 1.5
x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]
now swap the x and y variables and revert to function notation
f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex] domain is x ≥ -0.25
each input will have two outputs except where f(-0.25) = 1.5
Example of binomial to polynomial
With a complete solution
Answer:
A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .
A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.
are the fractions 4/5 and 8/12 equality
Answer:
NO because 5 doesn't have any factors of 12 but only 4 has a factor of 8. So 4/5 would be greater but no they would not be equal
Step-by-step explanation:
Find the area of the triangle
Answer:
5/2 units²
Step-by-step explanation:
Area of triangle = 1/2 x base x altitude => 1/2 x 5 x 1=> 5/2Conclusion:
Therefore, the area of the triangle is 5/2 units².
Hoped this helped.
[tex]GeniusUser[/tex]
What is 3894 x 6? Use the distributive property to solve.
Answer: 23,364
Step-by-step explanation:6 x 3000 + 6 x 800 + 6 x 90 + 6 x 4
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
m=3/2
Step-by-step explanation:
Two points are shown
point 1: (0;-3). 4;3. -2-6
point 2: (2;0)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]
[tex]m = \frac{3}{2} [/tex]
I need helpnwith this problem.
What is the quotient 931/4?
Answer:
here's a photo of the calculator to that question
The population of a city has increased by 15% since it was last measured if the current population is 43700 what was the previous population?
Answer:
37,145
Step-by-step explanation:
43,700×15%= 6,555
43,700-6,555= 37,145
the previous population was 37,145
convert 24580 m into km with process
Answer:
24.58 km
Step-by-step explanation:
1 km = 1000 m
1 m = 1 / 1000 km
24580 m
= 24580 / 1000
= 24.58 km
math problem need help give 5 stars and good rating if do
Answer:
The answer is A, 20%.
Step-by-step explanation:
If you find 30 out of 150, it is 20%. A simple way to do it is add 30 up until you get 150. So in this case it is 5 times. Then you do 100% divided by 5 which is 20%. Hope this helps!
Does anyone know how to solve this?
The answer is B but can anyone explain it please
Answer: sorry no
Step-by-step explanation: sorry i dont want to explain it.
There is a group of 5 turtles near the playground. More turtles joined. Now there are 13 turtles. How many turtles joined the group?
Answer:
8 turtles joined the group
Step-by-step explanation:
13-5=8