Answer:
A) zeros are x = ½ or x = ½
B) >> sum of zeros = (-Coefficient of x)/(Coefficient of x²)
>> Product of the zeros = Constant term/Coefficient of x²
Step-by-step explanation:
To find the zeros, we will equate the polynomial to zero.
Thus;
4x² - 4x + 1 = 0
Using quadratic equation, we can find the zeros.
x = [-(-4) ± √((-4)² - (4 × 4 × 1))]/(2 × 4)
x = (4 ± 0)/8
x = 4/8 and x = 4/8
Thus, zeros are x = ½ or x = ½
Now, to find the relationships between its zeroes and coefficients;
Sum of zeroes = ½ + ½ = 1
This is equal to -b/a = -(-4)/4 = 1.
Thus;
sum of zeros = (-Coefficient of x)/(Coefficient of x²)
Product of zeros = ½ × ½ = ¼
c/a = 1/4
This is equal to the product of the zeros.
Thus;
Product of the zeros = Constant term/Coefficient of x²
difference in length between 3 3/4 and 4 2/3
PLEASE HELP WILL MARK BRAINLIEST THIS IS DUE IN AN HOUR
We want to find the zeros of this polynomial:
p(3) = (x + 2)(2x - 3)(3-3)
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph
The temperature was -13 and then rose 9. What is the temperature now?
Answer:
-4
Step-by-step explanation:
bro thats 6th grade math lol and its SO easy just need to try
PLEASE HELP!!!! It’s timed
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 41, adjacent B C is 9, opposite A C is 40.
Answer:
bStep-by-step explanation:
we are given opposite, adjacent and hypotenuse
and said to find cos(B)
recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]
let adj and hypo be 9 and 41 respectively
so
[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]
hence our answer is b
Solve the given proportion.
x = [?]
Answer:
x=48
Step-by-step explanation:
I hope I helped!!1
Researchers would like to assess the overall health of white pine trees in a state park. Using a computer program,
the researchers selected 100 random points in the state park and assessed the trees closest to the selected
points. Of the 100 trees selected, 24 showed damage to their lower limbs. Which of the following describes the
sample in this setting?
all white pine trees in the world
the 24 trees that showed damage
the 100 trees checked for damage
all white pine trees in the state park
Anyways,
the sample is the 100 trees checked. Thats cause they checked all 100 and found 24 had damage. Which means they sampled 100 trees out of the whatever amount in the forest.
================
[SEPARATE QUESTION]
Separate question since people are confused about it in the previous answers comments "Which of the following statements best describes the bias that may arise from the results?":
I can confirm A is wrong. C just, feels wrong completely.
So that leaves us with B or D.
I think it's D: Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.
I have not finished yet but I am 95% sure D is correct.
The reason why I don't believe it's B is because they want to resample near the same road, which can still result to biased results.
================
ED2021
Among all the given descriptions, the one that is describing the sample in the given setting is: “all white pine trees in the state park.” Hence, Option D is correct.
What is the meaning of the term “sample”?
A sample is merely a subset of the population. Consider a scenario in which one wished to determine the average income for all Americans in the population. In terms of research, a sample is a collection of individuals, things, or things that are taken for measurement from a wider population.
To ensure that the findings from the research sample can be applied to the population as a whole, the sample should be representative of the population. 100 trees that were examined are the sample.
That's because they examined all 100 and discovered that 24 had damage, which means that they took 100 samples from the total number of trees in the forest.
The findings may exaggerate the total extent of the damage to the trees since trees close to the road may have sustained more damage than those farther away from it.
Therefore, Option D is correct.
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No need for an explanation it is option
Answer:
152
Step-by-step explanation:
Trick question,
4x + 52 + 28 = 180
Then
You subtract 180 and 28 to get 152
What is the median of 5,2,9,21,12,3
Answer: 7
Step-by-step explanation:
First order the numbers by least to greatest
2, 3, 5, 9, 12, 21
Then find the number inbetween
In this case it's a tie between 5 and 9.
Find the average of those two numbers
The average is 5+9/2 = 7
Median is 7
HELP 40 POINTS!!!! ILL GIVE BRAINLIEST TOO
Answer:
40 students
10 teachers
Step-by-step explanation:
32 + 8 = 40
5 + 5 = 10
Hope this helps!! ♥︎
Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?
Answer:
It's the point in where they intersect or cross.
On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 3, negative 4) and continues horizontally to an open circle at (0, negative 4). The second line has a closed circle at (0, 2) and continues horizontally to an open circle at (4, 2). The third line has a closed circle at (4, 3) and continues horizontally through (5, 3) with an arrow instead of an endpoint.
A step function is shown on the graph. What are the domain and range?
Domain:
Range:
Answer:Answer:
f(-2) = 2
f(0) = 3
f (4) = -1
Step-by-step explanation:
The equation of the straight line passing through the points (0,3) and (-4,1) is
⇒ 2(y - 1) = x + 4
⇒ 2y - 2 = x + 4
⇒ 2y = x + 6
⇒
Again, the equation of the line passing through the points (0,1) and (4,-1) is
⇒ - 2 ( y + 1) = x - 4
⇒ - 2y = x - 2
⇒
Therefore, the function is defined as
for x ≤ 0 ........... (1) and
for x > 0 ............ (2)
Therefore, f(-2) = 2 from equation (1).
f(0) = 3 from equation (1)
And f (4) = -1 from equation (2). (Answer)
Step-by-step explanation:
Answer:
Sorry this is late but here:
Domain: real numbers greater than or equal to -3
Range: equal to -4, 2, and 3
Step-by-step explanation:
I just did it on edge :D
The lot is `41` feet wide. The dividers are each `6` feet wide. Calculate how wide each space should be.
Answer:
94 feet.
Step-by-step explanation: if there is 4 sides you multiply 41 and 6 x 2
41 x 2 = 82
6 x 2 = 12
help !! 10 points!! :)
Answer:
line f
Step-by-step explanation:
from a point 12 ft from the base of a building, the angle of elevation from the ground to the top of the building is 70 degrees. Which is the closest to the height of the building
Answer:
c 33ft .....
Step-by-step explanation:
c is correct
The possible height of the building is 33 ft.
What is Angle of Elevation?
The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
Here, Let the height of the building be x ft
Base = 12ft.
Angle of Elevation = 70⁰
Now, tan α = perp. / base
tan 70⁰ = x/12
2.74 = x/12
x = 12 X 2.75
x = 33
Thus, the possible height of the building is 33 ft.
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give the center and the radius of the circle of x^2+y^2+6x-8y=0
(x+a)² + (y+b)² = R²
C (a,b)
R = 5 C( 3 , -4 )
A store had 300 empty shelves. Each shelf could hold 20 cans. What is the total number of cans the shelves could hold?
Answer:
it can hold 6000 cans
Step-by-step explanation:
brainliest plz
Answer:
6000 cans
Step-by-step explanation:
Empty Shelves = 300
Each shelf can hold = 20 cans
Total = 300 * 20
=6000 cans
Given ΔPQR, complete the table. Use capital letters.
1.SR
2. PQ AND PS
3. QR
Does the point (4, 1) lie on the line y = 3x + 1 ?
Answer:
no
Step-by-step explanation:
To determine if the point lies on the line, substitute x = 4 into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.
y = 3(4) + 1 = 12 + 1 = 13 ≠ 1
Thus (4, 1) does not lie on the line
Replace x in the equation with the x value of the point and solve for y. If Y equals the y value of the point then the point lies on the line.
y = 3x + 1
y =3(4) +1 = 12 +1 = 13
y = 13, this does not equal the y value of the point which is 1, so point (4,1) does not lie on the line.
Pls Help!!!!! I will pick the brainiest answer as well. ;)
Answer:
49
Step-by-step explanation:
20+4=24 24+25=49
Carmena and Alicia go to the supply store to purchase packs of
pens and paper. Carmen bought 5 packs of paper and 3 packs
of pens for $36.60. Alicia bought 6 packd of paper and 6
packs of pens for $53.40. What is the price of one pack of
paper and one pack of pens?
Pens Are 4:95
Paper is 3:95
The prices for both the things are $4.95 and $3.95 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
Given that,
The price for 5 packs of paper and 3 packs of pens is $36.60.
And, for 6 packs of paper and 6 packs of pens is $53.40.
Suppose the price of one paper pack be x and of pens be y.
Then, the given case can be written in terms of equation as,
5x + 3y = 36.60 (1)
6x + 6y = 53.40 (2)
Solve the equations by multiplying equation (1) by 4 and (2) by 2 and then subtracting as follows,
2(6x + 6y) - 4(5x + 3y) = 2 × 53.40 - 4 × 36.60
=> 12x - 20x = 106.80 - 146.40
=> -8x = -39.60
=> x = 4.95
Substitute x = 4.95 in equation (2) to get,
6 × 4.95 + 6y = 53.40
=> 6y = 53.40 - 29.70
=> y = 23.70/6
= 3.95
Hence, the prices of one pack of paper and one pack of pens are $4.95 and $3.95 respectively.
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Identify the Property:
2(x + 6)
Commutative Property
Identity Property
Distributive Property
WILL GIVE BRAINLY
Answer:
its in a graph?
Step-by-step explanation:
3 miles = _______ feet .........................................................
Which solution for P makes the equation true?
Answer:
8
Step-by-step explanation:
12.50(8) =100 +20 = 120
Answer:
p=8
Step-by-step explanation:
First we have to try all of the options to see if it is right
12.50(8)+20=120
(12.50*8)+20=120
100+20=120
120=120
Yay! The first one was right!
The original price of a bicycle was $375. Now it is on sale for $295. What percentage of the original price was the markdown?
Answer: $80
Step-by-step explanation:
Answer:
The percentage of the original price that was discounted is 21.33%
Step-by-step explanation:
The original price of a bicycle was $375. Now it is on sale for $295.
The discounted price of a product is calculated as the percentage of discount that you want to apply multiplied by the price of the product. This is the amount of money that is discounted. But to calculate the sale price, the original price of the product must be subtracted minus the discounted quantity.
So, this expressed in this case is:
375-x*375=295
The value of x is the discount that you want to calculate expressed in decimal number. This result will then be multiplied by 100 to obtain the discount expressed as a percentage.
Isolating the value of x you get:
-x*375=295-375
-x*375=-80
x=(-80)÷(-375)
x=0.2133
As a percentage, it is 0.2133*100= 21.33%
The percentage of the original price that was discounted is 21.33%
Find the measure of the angle indicated in bold.*
a. 40 degrees
b. 109 degrees
c. 54 degrees
d. 131 degrees
Answer:
131°
Step-by-step explanation:
the equations represent alternate exterior congruent angles so they are equal.
31x + 7 = 32x + 3
simplify:
4 = x
31(4) + 7 = 131°
Which could NOT be the length of the unknown side of the triangle?
A. 12
B. 14
C. 15
D. 18
Answer:
The answer is c 15 for the triangle
Step-by-step explanation:
15.00 + 1.75x = 7.50 + 2.25
Here is my question again:
Answer:
[tex] \sqrt[2]{3} [/tex]
[tex] \sqrt[4]{3} [/tex]
Step-by-step explanation:
A garden is in a shape of an equilateral triangle with side 4 ft.
The objective is to find the area of the garden.
The formula to find the area of the triangle is, A= 1/2• b • h
Here, b represents the side of the triangle and h represents and h represents the height of the triangle.
The height of an equilateral triangle can be calculated by,
H = /3/2 • b
= /3/2 • 4
=
[tex] \sqrt[2]{3} [/tex]
Now substitute the value of b and h in the formula of area of triangle.
A = 1/2 • 4 •
[tex] \sqrt[2]{3} [/tex]
=
[tex] \sqrt[4]{3} [/tex]
ft²
Answer:
4 and [tex]2\sqrt{3}[/tex]Step-by-step explanation:
Base of the triangle is:
b = 4Height of the triangle:
h = [tex]\sqrt{4^2 - (4/2)^2}[/tex] = [tex]\sqrt{16 - 4}[/tex] = [tex]\sqrt{12}[/tex] = [tex]2\sqrt{3}[/tex]Area is:
A = 1/2* 4* [tex]2\sqrt{3}[/tex]Can someone please help me with math.
Answer:
Your answer would be B.
Step-by-step explanation:
Hope this helps!