• P(x) = x² - 4x +3
To find :• The zeroes of the quadratic polynomial .
• To verify the relationship .
Solution :•x² - 4x + 3 = 0
Split the middle term :
=> x² - 3x - x + 3 = 0
=> x ( x - 3) - 1 ( x - 3 ) = 0
=> (x - 1)( x - 3 ) = 0
• x - 1 = 0
=> x = 1 .
• x - 3 = 0
=> x = 3 .
Hence , the zeroes are 1 and 3 .
Now , verification :• x² - 4x +3 .
compare with ax² + bx + c we get ,
• a = 1 , b = -4 and c = 3 .
As we know that :
• Sum of Zeroes = -b/a
=> 1 + 3 = -(-4)/1
=> 4 = 4
LHS = RHS .
NOW ,
• Product of Zeroes = c/a
=> 1(3)= 3/1
=> 3 = 3
LHS = RHS .
Hence, Verified .
I hope it will help you.
Regards
Find the equation of the line shown above.
Answer:
y = x + 6
Step-by-step explanation:
The equation for a line in y-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The slope of the line shown is 1/1 (which simplifies to 1).
The y-intercept is 6.
You would write the equation as y = x + 6.
I am so very cunfussed and it is 2 am were i am at and it would be very nice if someone could anwser this for me
Answer: 5 spaces, -10, 10
Step-by-step explanation: there are 2 sets of -5 at the top so you say 2 sets of 5 and 2 x -5 is -10. The opposite of neg is pos so positive 10.
A televison that regularly sells for $749 is
marked down 15%. After it doesn’t sell, it is
reduced another 20% from the sale price. What
is the total savings from the original price?
Answer:
$239.68 or 32%
Step-by-step explanation:
749÷100=7.49 7.49×85=636.65
636.65÷100=6.3665
6.3665×80=509.32
cost after both reductions= $509.32
749-509.32=239.68
total savings =$239.68 or 32%
Which one of these relationships is different than the other three?
Answer:
A
Step-by-step explanation:
which of the following should be set equal to (x+y) (x²-xy+y²) to form an identity
A) x³+y³
B) x³-3xy+y³
C) x³-y³
D) x³+3xy+y³
Answer:
A) x³+y³
Step-by-step explanation:
a city has 8984 recycle bins the city gives half of the recycle bins to its citizens the rest of the recycle bins are divided into 25 groups for city parks .How many recycle bins are left over?
Answer:
7867867867878678
Step-by-step explanation:
uyityuityuituityuityuityui
If you answer all three I will give brainliest. Plz label with 1, 2, and 3.
Answer:
Here are the graphs
Step-by-step explanation:
1. Green Line
2. Purple Line
3. Red Line
a principle of $8000 is invested in an account paying an annual percentage of 5%
PLS HELP HURRY ILL MAKE AS BRAINLESS WAHST THE ANSWER TO THESE 2 QUESTIONS
Answer:
all you have to do is use a calulater i dont remember how to do that sorry
Step-by-step explanation:
Answer:
868.5 cm²
Step-by-step explanation:
convert 450 mm to cm.
45
calculate
45 × 38.6
1737
then divide by 2 because this is a triangle.
1737 ÷ 2
868.5
The area of this figure is 868.5cm²
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
2a - 7d = 3d solve for a
Answer:
a=5
Step-by-step explanation:
Answer:
A=5
Step-by-step explanation:
Hope this helps! (:
What number is greater than 4.353 but less than 4.47 ?
Answer:
4.36 to 4.46
good luck buddy
Provide the domain and range for the following relation
is negative 19 a natural number
Answer:
No, -19 is not a natural number.
Step-by-step explanation:
A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc. Natural numbers are also called "counting numbers" because they are used for counting.
Answer:
The natural numbers (or counting numbers) are the fundamental mathematical set on which all other arithmetic is based. They do not include negative numbers. (The set of integers provides negative numbers.)
Step-by-step explanation:
hope this helps : )
Which is bigger: 7/15 or 7/10? QUICK ANSWER.
Answer:
7/10 is bigger.
Please HELP I DONT UNDERSTAND ?????
Answer:
43521
Step-by-step explanation:
What is the value of x in the equation
ox5
6x - 5
2
=
2x + 6?
PLEASE MARK AS BRAINLEST Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-4, -2) B(-2, -2) C(-2, 7) and D(-4, 7).What is the area of rectangle ABCD?
A(-4,-2) B(-2,-2) C(-2, 7) D(-4, 7)
|AB| = √((-2-(-4))^2 + (-2 - (-2))
= √((2)^2 + 0^2) √4
= 2 units
|BC| = √((-2 - (-2))^2 + (7 - (-2))^2
= √5^2 = √25
= 5units.
Let |AB| = The length of the rectangle.
|BC| = The Width of the rectangle.
Hence Area = |AB| × |BC|
Area = 2 × 5 = 10 square units.
Donna looks at the store ad. She sees that apples are 4 pounds for $3.32. How much does she pay per pound?
Answer:0.83cents
Step-by-step explanation:
when you divide 3.32 by 4 you get 0.83cents
Can someone please find the rate of change ? I WILL LOVE YOU FOREVER , LITERALLY
Answer:
The rate of change is -6
<3
Step-by-step explanation:
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:
$0.50, $0.65, $0.80, $0.95, $1.10, ...
Which equation represents Marisa’s library fine as a function of a book that is n days overdue?
Answer:
x + $0.15
Explanation:
If you see well $0.15 + $0.50 = $0.65
and then $0.65 + $0.15 = $0.80
Answer:
f(n) = 0.15n + 0.35
Step-by-step explanation:
I need a good teammate on vanis.io its like agar.io but its not must use my clan tag ༺קØƤ༻ please help!!
A number more than 12
#1. N+12
#2. 12N
#3. 12+N
#4. 12-N
Answer:
#3: 12 + N
Step-by-step explanation:
Adding a number n to 12 results in "a number more than 12."
Thus, the correct answer is #3.
A certain county has a population of 34,237 people. The county hospital is interested in estimating the number of people in the county with blood-type A−. To do this, they test blood samples from 245 patients. Out of this group, 12 have blood-type A−. Use this sample to estimate the number of people in the county with blood-type A−.
Answer:
About 1677 people in the county will have blood-type A−.
Step-by-step explanation:
From the question, 12 out of 245 patients have blood-type A−.
To estimate the number of people in the county which has a population of 34,237 people with blood-type A−, we will assume that for every 245 people out of the 34,237 people, 12 of them have blood-type A−.
Let the number of people with blood-type A− in the county be x.
Now,
If 12 people out of 245 people have blood-type A−
Then, x people out of 34237 people will have blood-type A−
245 × x = 34237 × 12
245x = 410844
x = 410844/245
x = 1676.9
x ≅ 1677
Hence, about 1677 people in the county will have blood-type A−.
What is the rate of change (slope, m) for the table below?
Answer:
3
Step-by-step explanation:
Change in y over change in x
Please someone help me! Will give brainlist =)
Answer:
1) b
2) c
3) d
4) a
Step-by-step explanation:
divide!
HELPP MEEE PLEASE SO YOU CAN HELP ME GET MY ALBUMS BACK AND POSTERS AND EVERYTHING
Answer:
[tex]\frac{xy^4}{5}[/tex]
Step-by-step explanation:
Step 1- The x variables cross each other out.
Step 2- y^5-y= y^4
Step 3- 15÷3= 5
Hope this helps! :)
The price of a snowsuit is reduced by $28.38.
This is a discount of 33%.
a) What is the regular price of the snowsuit?
b) What is the sale price of the snowsuit, including taxes?
Answer:
a) 86$
b) 57.62$ , without tax because the percentage of tax is no given
Step-by-step explanation:
Answer:
86$ 66.26$
Step-by-step explanation:
What is the sum of
O A 124
B.
29
5
O C.
0
D. -1 24
Answer:
D
Step-by-step explanation:
Let U be the set of cities in the U.S., A be the set of cities with a professional sports team, and B be the set of cities with a symphony
(3) Describe the complement of A
(4) Describe the union of A and B
(5) Describe the intersection of A and B
Answer:
A', is the set of all elements in the given universal set U .
But the union of sets is an operation performed on two sets, say A and B, which results in a set that has all elements belonging either to set A and set B or both. The operand of union of set is given by '∪'. You can see, U is also a set which collectively shows all the elements of A, B and of itself.
Please if it's wrong then tell me no need of marking as a brainist if it's a wrong .Please if it's wrong then tell me no need of marking as a brainist if it's a wrong .if it's correct having no doubt in this answer then you can mark me as a brainist and follow me any doubt ask me I am ready for it.Which expression is equivalent to a^m divided by a^n
Answer:
a^m-n
Step-by-step explanation:
You subtract powers when it is a divide