Determine an equation for the pictured graph. Write your answer in factored form.
Remember to start with f(x) = a (x – ri)(x - 52)...
8
7
2
y =
An equation for the pictured graph and the equation for the pictured graph in factored form is: y = rs - r - s + 1.
Let's assume the equation for the graph in factored form is: y = a(x - r)(x - s), where 'a' is a constant and 'r' and 's' are the roots of the equation (x-intercepts of the graph). Since we are given that the graph passes through the points (0, -2) and (1, 0), we can use this information to find the values of 'r' and 's.'
Using the point (0, -2):
When x = 0, y = -2.
We can substitute these values into the equation:
-2 = a(0 - r)(0 - s)
Simplifying, we get: -2 = a(-r)(-s) or -2 = ars.
Using the point (1, 0):
When x = 1, y = 0.
Substituting these values into the equation:
0 = a(1 - r)(1 - s)
Simplifying, we get: 0 = a(1 - r)(1 - s).
Now, we have two equations:
-2 = ars (Equation 1)
0 = a(1 - r)(1 - s) (Equation 2)
From Equation 1, we can solve for 'a' in terms of r and s:
a = -2 / rs.
Now, substitute this value of 'a' into Equation 2:
0 = (-2 / rs)(1 - r)(1 - s).
To make further progress, we can divide both sides by -2:
0 = (1 / rs)(1 - r)(1 - s).
Next, to eliminate the fractions, multiply both sides by rs:
0 = (1 - r)(1 - s).
Finally, expand the right side of the equation:
0 = 1 - s - r + rs.
The equation for the pictured graph in factored form is:
y = rs - r - s + 1.
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Mary Beth is making 36 flower bouquets. 5/6 of the bouquets are tulips and the rest are roses. How many bouquets are roses?
Answer:
6
if 5/6 are tulips, that mean 1/6 are roses. you can find 1/6 of 36 by dividing by 6. 36÷6=6
Find the discriminant of x2 – 5.2 + 2.
Answer:
Step-by-step explanation:
x² - 5.2x + 2
Discriminant = (-5.2)² - 4 ⋅ 1 ⋅ 2 = 19.04
please help on both!! will give brainliest.
Answer:
6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x
Step-by-step explanation:
For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.
(there's an error in this question)
As for question 6,
a) with coordinate (x,y) = (-2,7)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(-2,7) ➡️ (x2,y2) then,
m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -7/2 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −7/2 (x-0)
If we simplify this, we simply get
y = −7/2 x ← This is our equation for coordinate (-2,7)
b) with coordinate (x,y) = (2,-1)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -1/2 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −1/2 (x-0)
If we simplify this, we simply get
y = −1/2 x ← This is our equation for coordinate (2,-1)
c) with coordinate (x,y) = (4,-5)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -5/4 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −5/4 (x-0)
If we simplify this, we simply get
y = −5/4 x ← This is our equation for coordinate (4,-5)
d) with coordinate (x,y) = (10,-17)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -17/10 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −17/10 (x-0)
If we simplify this, we simply get
y = −17/10 x ← This is our equation for coordinate (10,-17)
find the value of given expression
[tex] \sqrt{645 \times 645} [/tex]
[tex]208012.5[/tex]
Step-by-step explanation:
[tex] \sqrt{645 \times 645} [/tex]
[tex] = \sqrt{416025} [/tex]
[tex] = 208012.5[/tex]
Answer:
√{645×645}=√645²=±645 is your answer
Each side of a square courtyard is 17 yards long. It costs $28.73 per yard to replace the brick wall around the courtyard. How much would it cost to replace the brick wall?
Answer
1953. 64
Step-by-step explanation:
Please help I’m struggling
increase £196 by 9%
old old working out need asap
Answer:
£213.64
Step-by-step explanation:
You do 196(0.09)
That's 17.64
The you add the two
196+17.64
The way I got 9 was from 9%.
To make it in decimal form you have to move the decimal over two places.
Hope this helps
solve the inequality: PLS SHOW YOUR WORK PLEASE
-45 < 5(p-2)
Step-by-step explanation:
Given
-45 < 5(p-2)
Dividing both sides by 5
9 < p - 2
Adding two on both sides
9 + 2 < p - 2 + 2
11 < p
or
p > 11
Hope it will help :)❤
Telephone calls arrive at the Global Airline reservation office in Louisville according to a Poisson distribution with a mean of 2.2 calls per minute What is the probability of receiving at least 2 calls during a one-minute interval? What is the probability that at most 2 minutes elapse between 1 call and the next
Answer:
The answer is "0.6227 and 0.5971".
Step-by-step explanation:
[tex]\to p(x\leq 2)=p(0)+p(1)+p(2)[/tex]
[tex]=e^{-2.2}(1+2.2^{1}+\frac{2.2^2}{2!})\\\\=0.6227[/tex]
[tex]\to x \sim emp(\frac{1}{2.2})\\\\\to f(x)=\frac{1}{2.2} emp1-\frac{x}{2.2}[/tex]
[tex]\to p(x \leq 2)=\int^{2}_{0} \frac{1}{2.2} emp1(-\frac{x}{2.2}\ dx[/tex]
[tex]=1-emp1-2|2.2\\\\=0.5971[/tex]
6+6+75millllllliioooon
Answer:
75,000,012
Step-by-step explanation:
enjoy, i guess
Guided Practice
The equation s = p – 0.15p represents the sale price s of an item with an original price p, after a 15% discount. A T-shirt costs $12. What is the sale price?
A.
$142.20
B.
$11.85
C.
$13.80
D.
$10.20
THE ANSWER IS NOT: B.
$11.85
Substitute for p and solve for s.
s==p−0.15p12−0.15(12)
a) What is the mean?
b) What is the median?
c) What is the mode?
Talia has a square bedroom. Her family is moving and her bedroom in her new apartment will be 3 feet shorter in one direction and 5 feet longer in the other direction. Write an expression that represents the two binomials you would multiply together to find the area of Talia's new bedroom.
2nd Part
If Talia's old bedroom measured 10 feet by 10 feet, how much larger or smaller will her new bedroom be?
Answer (x represents the first direction and the y represents the second direction):
(x - 3) × (y + 5)New bedroom: 7 ft × 15 ft. Her new bedroom is 5 sq. ft larger than her old bedroomI hope this helps!
I will reward you handsomely with a reward of Brainliest and some points and a 5 star and thanks if you answer these all correctly
1. 810
2. 89%
3. 624
4. 100
5. 960
6. 165
PLEASE HELP MEEE :((((((((
Given the polynomial 21x 4 + 3y - 6x 2 + 34
What polynomial must be subtracted from it to obtain 29x 2 - 7 ?
What polynomial must be added to it to obtain a first degree polynomial?
Answer:
I don't know
Step-by-step explanation:
ok k ggceyubvsxhik n
More trig ratios see attachment
Answer:
TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15
Step-by-step explanation:
Tan = opposite/adjacent, so 9/12
WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15
Tan again, is opposite/adjacent, so 12/9
Cos is adjacent/hypotenuse, so 12/15
Hopefully this helps! Let me know if you have any questions
Jake wants to find out what his customers think of his new recipe. which is the best group survey to find this information?
Michael has $12.50 to buy school supplies. He spends $3.49 at one store for a package of glue sticks, but he still needs to buy for pens and a notebook. At the next store, he finds pens for $1.49 each. What is the most he can spend on a notebook if he buys the 3 pens? PLEASE HELP!
Answer: $ 4.54
Step-by-step explanation:
ASAP THIS NEEDS TO BE DOEN IN MY LIVE CLASS CRIES
Answer:
2
Step-by-step explanation:
its hard to type
Question is in the picture!
Answer:
[tex]\displaystyle m=\frac{1}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (80, 20)
Point (120, 30)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{30-20}{120-80}[/tex][Slope] Subtract: [tex]\displaystyle m=\frac{10}{40}[/tex][Slope] Simplify: [tex]\displaystyle m=\frac{1}{4}[/tex]If a cordinate set (x,y) has two different scale factors this is a valid transformation..
A-yes
B-no
C-maybe
Please help me solve.
x^2-11x+19= -5
Answer:
x = 3 or x = 8
Step-by-step explanation:
Please explain why the correct answer is correct :)
Answer: your anawer is D
Step-by-step explanation:
find the value of variable x.
Answer:
9.5
Step-by-step explanation:
[tex]\frac{x}{19} = sin 30^o\\\implies \frac{x}{19} = 0.5\\\implies x = 19 * 0.5\\\implies x = 9.5[/tex]
please help i’ll give brainliest if you help thanks
If ΔABC ≅ ΔDEF, find the measure of ∠B.
Answer:
I believe it is 67 degrees
Step-by-step explanation:
Since all the angles in a triangle add up to 180 degrees, you can subtract 78 and 35 from 180 to get 67.
Can someone help?
Solve the following equation for all values of x. Be sure to check for extraneous roots.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, let's multiply both sides by [tex]\sqrt{x+11}[/tex]. If we do this, we would have:
[tex]x-1=\frac{1}{\sqrt{x+11}}\cdot\sqrt{x+11}[/tex]
The [tex]\sqrt{x+11}[/tex] would cancel out and we would be left with:
[tex]x-1=1[/tex]
If we add 1 on both sides, we would get:
[tex]x=2[/tex]
Hope this helps!!!
WRITE THE EXPANDED FORM OF THE EXPRESSION
-5/8 (y+x) =
Answer:
-5/8x -5/8y
Step-by-step explanation:
Use the distributive property to expand
What is the volume of the composite object below?
Answer:
216 cubic inches
Step-by-step explanation:
(9)(3)(3)=81
(3)(3)(9)=81
(3)(3)(6)=54
81+81+54=216
So, it's 216 cubic inches in volume.