Answers
Answer:
a = p * q
b = p * s + q * r
c = r * s
Step-by-step explanation:
In the trinomial ax² + bx + c
a is the coefficient of x²
b is the coefficient of x
c is the numerical term
∵ The trinomial is ax² + bx + c
∵ Its factors are (px + r) and (qx + s)
∴ ax² + bx + c = (px + r)(qx + s)
∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)
∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs
∴ ax² + bx + c = pqx² + (ps + qr)x + rs
→ By comparing the two sides
∵ ax² = pqx² ⇒ divide both sides by x²
∴ a = pq
∵ bx = (ps + qr)x ⇒ Divide both sides by x
∴ b = ps + qr
∴ c = rs
∴ a = p * q
∴ b = p * s + q * r
∴ c = r * s
Related Questions
a large study used records from canada's national health care system to compare the effectiveness of two ways to treat prostate disease. The two treatments are traditional surgery and a new method that does not require surgery. The records described many patients whose doctors had chosen each method. The study found that patients treated by the new method were significantly more likely to die within 8 years. You have 300 prostate patients who are willing to serve as subjects in an experiment to compare the two methods. Describe a completely randomized design for this experiment. Write a few sentences describing how you would implement your design.
Answers
Answer:
compile the list of the 300 prostate patients considering various diversities i.e. various ages, various stages of the disease, various racial, social and economic background , various lifestyles as well.divide the sample into two groups, ensuring that each group is diversified equallyAssign each group to the one of the two treatment proceduresfollow up on the different group after treatmentcompare the measurable variables from both groups after treatment in order to determine which treatment method is bestStep-by-step explanation:
A completely randomized design for this experiment can be carried out following the following steps
compile the list of the 300 prostate patients considering various diversities i.e. various ages, various stages of the disease, various racial, social and economic background , various lifestyles as well.divide the sample into two groups, ensuring that each group is diversified equallyAssign each group to the one of the two treatment proceduresfollow up on the different group after treatmentcompare the measurable variables from both groups after treatment in order to determine which treatment method is bestFind the equation of the linear function represented by the table below in slope-intercept form.
x- 0 1 2 3 4
y- 9 18 27 36 45
Answers
Question: Where is the y2? Please be more specific!
Please Help Me I will give you 100 Points
Answers
Answer:
twoendndbdsjwu
Step-by-step explanation:
Answer:
a. x represents the 1$ rides and y represents the 2$ rides.
b. they represent the rides that she has taken.
c. (4, 11) or x = 4 and y = 11
Step-by-step explanation:
Can anyone answer these
(simplify to find the quotients)
Answers
Which Figure is a rotation of the Blue Figure?
A
B
C
D
Answers
Answer:
a
Step-by-step explanation:
the green figure is the same as the blue figure.
Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving.
Answers
Answer:
4/15 < 5/16
Ingredient C < Ingredient D
Hence ingredient C has a lower cup per serving than ingredient D
Step-by-step explanation:
Given the unit rates :
C: 1/5 cup for 3/4 serving or Ingredient
D: 1/4 cup for 4/5 serving
C : 1/5 cup for 3/4 serving
1/5 ÷ 3/4
1/5 * 4/3
= 4 / 15
= 0.2667
D: 1/4 cup for 4/5 serving
1/4 ÷ 4/5
1/4 * 5/4
= 5 / 16
= 0.3125
5/16 > 4/15 ;
Ingredient C < Ingredient D
Hence ingredient C has a lower cup per serving than ingredient D
:((( please answer! Thanks.
Answers
Answer:
66
Step-by-step explanation:
71+43=114
180-114=66
Answer:
66
Step-by-step explanation:
State the slope and y-intercept of the graph of y=−25x+2
Answers
Answer:
slope=-25 y-intercept=2
Step-by-step explanation:
Answer: Slope=-25
y-int=2
Step-by-step explanation: y=mx+b, m is the slope and b is the y-int. The slope is the number in front of x like -25x that is -25. The y-int is the next to the slope which is 2.
Can you guys plz help me
Answers
Answer:
[tex]\frac{20}{12}[/tex]
Step-by-step explanation:
Answer:
20/12 since 3*4 is 12 u do 5*4
Step-by-step explanation:
Please mark brainliest and hope this helps ya!!
Which statement is true about figures ABCD and A'B'C'D?
Answers
Answer:
Step-by-step explanation:
To understand the transformation better we will take a point B first.
Coordinates of B → (3, 0)
When we rotate this point by 180° counterclockwise about the origin, rule to be followed,
(x, y) → (-x, -y)
By this rule, coordinates of B'' will be,
B(3, 0) → B''(-3, 0)
Now we translate the point B by 2 units right.
Rule for the translation is,
(x, y) → [(x + 2), 0]
Following this rule,
B''(-3, 0) → B'[(-3+2), 0]
→ B'(-1, 0)
We can conclude with the statement, "Figure ABCD was rotated by 180° about the origin followed by the translation of 2 units to the right" to get the new figure A'B'C'D' similar to pre-image ABCD.
Whitney has £265 Nancy has £180 They each spend the same amount of money. Whitney has twice as much money as Nancy left now. How much money did they each spend?
Answers
Answer:
£95
Step-by-step explanation:
Given that:
Whitney's initial amount = £265
Nancy's initial amount = £180
Let amount each spent = x (amount is the same)
After spending Whitney has twice as much money as Nancy.
Amount spent by each?
(Whitney's initial amount - x) = 2(Nancy's initial amount - x)
265 - x = 2(180 - x)
265 - x = 360 - 2x
-x + 2x = 360 - 265
x = £95
Hence, they both spent £95
The area model shows 2 and one-third. What is 2 times 2 and one-third?
Answers
Answer:
14/3 or 4.6
Step-by-step explanation:
An ice cream shop sells large cones for $2.50 and small cones for $1.50. Jack has enough money to buy 21 large cones. How many small cones could Jack buy?
plz healp
Answers
Answer:
the answer is 35 small cones
Step-by-step explanation:
2.50 x 21 = 52.50
52.50 / 1.50 = 35
help with math hw please
Answers
Answer:
x = 4
Step-by-step explanation:
All of the sides are the same so every angle is 17x-8.
Every triangle adds up to 180 degrees.
3(17x-8)=180
51x-24=180
+24 +24
51x=204
x= 4
first 10 didgts of pi
Answers
I guess I did not know how to answer sorry
Answer: thefirst ten didgets of pi are .1415926535
Step-by-step explanation:
Pls help me
-18x + 30 = -150
Answers
Answer:
x=10
Step-by-step explanation:
-18x + 30 = -150
subtract 30 from both sides = -18x=-180
divide both sides by -18 = x=10
x=10
need help with slope from two points
Answers
Answer:
whatz slope
Step-by-step explanation:
??
Jim is building a model airplane. The scale is 1 in : 40 ft. The actual wingspan of the plane is 211 feet. How long will the wings of the model be?
Answers
Answer:
422 that's how long the wingspan will be.
Add and reduce: 1 1/2 + 2 2/3
Answers
the answer is 2 13/5 you cant reduce it its not a proper equation
Answer:
4 1/6
Step-by-step explanation:
1 1/2 + 2 2/3
1 3/6 + 2 4/6
= 4 1/6
hope this helps
have an amazing day!
Solve the equation. Determine the number of solution. -8(x - 3) = -8x-24
No solution
O One solution
0 Infinitely many solutions
Answers
The answer is no solution
Mia has 20 markers, Noah has 25 markers, and Michael has 85 markers. Use the GCF and the
Distributive Property to find the total number of markers Mia, Noah, and Michael have.
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
20 + 25 +85 =
(Use the operation symbols in the math palette as needed.
Answers
Answer:
130Step-by-step explanation:
Factoring the given numbers:
20 = 2*2*525 = 5*585 = 5*17CGF(20,25,85) = 5
The sum of given numbers:
20 + 25 + 85 = 5*4 + 5*5 + 5*17 = 5*(4 + 5 + 17) = 5*26 = 130Factoring the following Difference of Two Perfect Squares.
X^2– 16
Answers
hi
x²-16 = (x+4) (x-4)
What answer it is . Will mark brainliest
Answers
I need help solving for x
Answers
That’s the answer
What is the value of the expression below when x=10x=10 and y=4y=4? 8x-7y 8x−7y
Answers
Answer:
X=10x =10
means here value of X is 1
y = 4y = 4
means here value of y is also 1
now substitute the values of X and y in the equation
8×1-7×1×(8×1-7×1)
8-7(8-7)
64-49
15
a company employees 100 people, 65 of whom are men. 60 people, including all the women, are paid weekly. how many of the men are paid weekly
Answers
Answer:
25 men
Step-by-step explanation:
100 - 65 = 35 women
60 - 35 = 25 men
Answer: 25
Step-by-step explanation:
Amount of ppl: 100
Men: 65
Woman: (100-65) =35
People paid (all woman are in this group) 60
Woman paid: 35
Men paid: (60-35) =25
told u aint doing my work help
Answers
Answer:
A: 50:100
Step-by-step explanation:
The ratio 5:10 is the ratio of caramels to fruit creams. This ratio is equivalent to 50:100.
HELP ME FIND THE SLOPE PLS
Answers
Answer:
6
Step-by-step explanation:
Find 2 points that are connecting integers
y2-y1/x2-x1(use this to find slope)
(3,3)(2,-3)
-3-3/2-3
-3-3=-6
2-3=-1
-6/-1=6
Therefore, slope is 6
Which best represents 3=x/6 -2
Answers
Answer:
30
Step-by-step explanation:
Answer: x = 30
Step-by-step explanation: To solve for x, first you’ll have to make sure that your result will equal to 3. ( x/6 -2). Next, look for a numerator that can make a fraction that equals to 5. Then, you would have to multiply 6 x 5, which equals to 30, so 30 will be x. 3 = (30/6 - 2) 3 = 5-2.
SECTION 2012
QUESTION OF
ASSIGNMENTS
COURSES
Assignment - 4. Continued Proofs: Transversals and Special Angles
Attempt 1 of 4
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none,
then select none.
When m_7 = m_4
O AB || DC
O none
O AD || BC
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