Answers
On solving the given equation y=(x-2)(x-4) the point on the graph are as follows:
(4,0), (2,0), (5,3), (3,-1) &(0,8)
What is a graph?
A relation is a specific instance of a function graph. A function is truly equivalent to its graph in set theory and the current mathematical underpinnings.
It is frequently more helpful to think about functions as mappings, which include the sets that constitute the domain and the codomain in addition to the relationship between input and output. For instance, the codomain should be considered while determining if a function is onto (surjective) or not. The codomain of a function is not determined by the graph alone.
It is typical to use the phrases function and graph of a function interchangeably since, although referring to the same thing, they suggest distinct ways of looking at it.
1)
let y=0
0=(x-2)(x-4)
i.e. x = 4 and 2
2)
Let x =0
y=(0-2)(0-4)
y=8
3)
Let x = 3
y=(3-2)(3-4)
y=-1
4)
Let x = 5
y=(5-2)(5-4)
y=3
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Related Questions
At the July 1980 Olympics, the record for the women's shot put was 22.41 meters, which was 5.09 meters less than double the 1948 Olympic winning distance. What was the women's winning shot put distance in the 1948 Olympics?
Answers
27.5/2=13.75
If y varies inversely as x2 and y=38 when x=18, find y if x=20.
Answers
The required value of y for the given inverse relation is 30.78
What is the inverse variation?
Inverse variation occurs when one variable varies inversely with respect to another. It represents the inverse relationship between two quantities are two quantities.
In mathematics, inverse variation refers to the relationships between variables that are expressed as y = k/x, where x and y are two variables and k is a constant value. It states that if the value of one quantity rises, the value of the other quantity falls.
Given, y varies inversely as [tex]x^{2}[/tex]
That is, y∝ 1/ [tex]x^{2}[/tex]
or, y = k/ [tex]x^{2}[/tex]
or, [tex]x^{2}[/tex]y = k
And, y=38 when x=18
Then, [tex]18^{2}[/tex]*38 = k
k = 12312
Now, if x=20 then y=?
[tex]x^{2}[/tex]y = 12312
or, [tex]20^{2}[/tex]*y = 12312
or, 400y = 12312
or, y = 12312/400 = 30.78
Hence, the required value of y is 30.78
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Write a quadratic equation in a such that the sum of its roots is -8 and the product
of its roots is -15
Answers
The equation is x^2-8 x-15=0.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
Given, sum of the roots of a quadratic equation is 8 and their product is 15 We know that the quadratic equation is given as [tex]$\mathrm{x}^2-$[/tex](Sum of the roots) [tex]$\mathrm{x}+$[/tex] (product of the roots)[tex]$=0$[/tex] [tex]$\Rightarrow x^2-8 x-15=0$[/tex]
Hence, the equation is x^2-8 x-15=0.
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Answer:
x² +8x -15 = 0
Step-by-step explanation:
You want a quadratic such that the sum of the roots is -8 and their product is -15.
CoefficientsWhen the roots of a quadratic are p and q, its factored form is ...
(x -p)(x -q) = 0
The expanded form of this is ...
x² -(p+q)x +pq = 0
That is, the coefficient of x is the opposite of the sum of the roots, and the constant is the product of the roots.
ApplicationHere, we want the sum of roots to be -8, so the x-coefficient will be the opposite of that: 8. The constant will be the product of the roots: -15. That makes the desired quadratic be ...
x² +8x -15 = 0
__
Additional comment
The attachment shows the quadratic, its roots, and their sum and product.
On July , the billing date, Marvin Zug had a balance due of $265.72 on his credit card. His card charges an interest rate of 1.25% per month. The transactions he made are to the right.
a) Find the finance charge on August , using the previous balance method.
b) Find the new balance on August 7.
(see photo)
Answers
Answer:
475$
Step-by-step explanation:
12. Electricity Company A charges 14 € per unit for the first 100 units in a quarter, and 11 % per unit after that. Electricity Company B charges a flat rate of $12 per unit. How many units must a customer use per quarter for Company A to be the cheaper option?
13 Taxi company A charges a minimum of $ 2.25 for each journey of up to 2 miles, plus per mile for every mile over that. Taxi company B has no minimum fare, but charges 95 per mile. Which of the following is the minimum number of miles over which taxi company A is cheaper than taxi company B ?
A 4
Answers
12. The customer should use 120 units in a quarter for company A to be cheaper.
What is cost management?
Cost management is the process of estimating, allocating, and controlling costs. The cost management process allows a business or a customer to predict future expenses to reduce the chances of budget overrun.
Solution:
Company A charges $14 for first 100 units = 14×100
= $1400
After that 11% of 14 = 1.54 per unit
Company B charges $12 per unit so for 100 units = $12×100
= $1200
For company A to be cheaper, customer must use 120 units of electricity from company B as expense for 120 units from company B will be $12×120 = $1440
and,
For 120 units of electricity from company A would be
$14×100 + 1.54×20 as after 100 units company A will charge 11%.
∴ for 120 units = 1400 + 30.8
= $1430.8
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13. For taxi company A to be cheaper customer must travel a minimum of 6 miles.
What is cost management?
Cost management is the process of estimating, allocating, and controlling costs. The cost management process allows a business or a customer to predict future expenses to reduce the chances of budget overrun.
Solution:
Given:
Company A charges $2.25 for a minimum of 2 miles journey and after that 85 cents per mile.
Company B charges 95 cents per mile without any minimum mile condition.
Let's assume
no. of miles = 4
fare from A = $2.25(2 miles) + 85 cents(1 mile) + 85 cents(1 mile)
= $3.95
fare from B = 95 cents × no. of miles
= 95 cents × 4
= $3.8
∵ Fare of company A is greater than B, minimum number of miles should be greater than 4.
now,
Let's assume
no. of miles = 5
fare from A = $2.25 + 85 cents + 85 cents + 85 cents
= $4.8
fare from B = 95 cents × no. of miles
= 95 cents × 5
= $4.75
∵ Fare of company A is greater than B minimum number of miles should be greater than 5.
now,
Let's assume
no. of miles = 6
fare from A = $2.25 + 85 cents + 85 cents + 85 cents + 85 cents
= $5.65
fare from B = 95 cents × no. of miles
= 95 cents × 6
= $5.7
∵ Fare of company A is less than B.
∴ Minimum number of miles should be 6.
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The revenue, R(x), of producing and selling x Awesome Hearing Aids is modeled by the function: R(x) = -3x^2 +53x
a. How many hearing aids need to be produced and sold in order to maximize the revenue? Round to the nearest whole number. ______ hearing aids must be produced and sold to maximize revenue.
b. What is the revenue? Use the fraction from (a) then round answer to the nearest dollar. The maximum revenue is $ ________.
Answers
Answer:
9 ; $234
Step-by-step explanation:
the maximum revenue is the vertex of the parabola
a) -53/(2*-3)
-53/-6
53/6
8.833333
9
b
-3(53/6)^2 + 53(53/6)
-3(2809/36) + 2809/6
-2809/12 + 2809/6
(-2809 + 5618)/12
2809/12
234.083333
234
Help me plssss I dead don’t get this asap
Answers
Answer:
i don't know but its not B or D and my guess is A
Step-by-step explanation:
somebody please help!!
Answers
Step-by-step explanation:
I just answered this with all explanations.
the 2 solutions are
x = 6
x = -12
Solve F = MGH for H. G=?
Answers
The value of G = F/MH for H
What is expression ?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent all of the numerical constants, variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
According to the given information
F = MGH
we need to find the value for G
Dividing the above equation by MH
F/MH = MGH/MH
SO
G = [tex]\frac{F}{MH}[/tex]
So the value of G = F/MH for H
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A ball is thrown from an initial height of 4 feet with an initial upward velocity of 18/fts. The ball's height h (in feet) after t seconds is given by the following.
=h+4−18t16t2
Find all values of t for which the ball's height is 8 feet.
Answers
All values of t for which the ball's height is 8 feet are 0.82 or 0.305.
What is quadratic equation?
Quadratics are often outlined as a polynomial equation of a second degree, which means that it contains a minimum of 1 term that's square. it's conjointly known as quadratic equations.
Main Body:
The actual equation is
h= 4- 18t +16t²
initial height of ball = 4 ft
The problem asks for a time when the ball's height will be 8 ft. To find these times, I plug 8 in for h and solve for t:
8 = 4+18t -16t²
16t² - 18t +4 =0
Using the quadratic equation:
t = {18 ±√((18)² - 4*16 *4 )}/2*16
t = 18 ± √(324 - 256)/32
t = (18 ± √68) /32
t = (18±8.24)/32
t = 0.82 or 0.305
Hence ,all values of t for which the ball's height is 8 feet are 0.82 or 0.305.
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Consider the graph of the function.
Which best represents the graph of the function?
Responses
f(x)=x−8−−−−√+2
f
(
x
)
Answers
The equation of the function represented by the graph is (d) g(x) = √(x + 9) - 1
How to describe the transformed equation from the parent function?From the question, we have the graph that can be used in our computation:
The parent function of the graph is a square root function
This is represented as
f(x) = √x
First, we have the transformation to be:
The function is translated left by 9 units
Next, we have:
The function is translated down by 1 unit
Mathematically, this can be represented as
g(x) = f(x - 9) - 1
When represented as an equation, it is
g(x) = √(x + 9) - 1
Hence, the transformation is (d) g(x) = √(x + 9) - 1
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What is C ?
⁸ ⁶
A. 10
B. 28
C. 35
D. 14
Answers
Cancel the factor of 6!
8•7/2!
Multiply and divide
56/2!
Solution
28
Option B
Answer:
B
Step-by-step explanation:
assuming you mean [tex]8C_{6}[/tex]
using the definition
n[tex]C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]
where n! = n(n - 1)(n - 2) × 3 × 2 × 1
then
8[tex]C_{6}[/tex]
= [tex]\frac{8!}{6!(8-6)!}[/tex]
= [tex]\frac{8!}{6!(2!)}[/tex]
= (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (6 × 5 × 4 × 3 × 2 × 1 × 2 × 1
cancel (6 × 5 × 4 × 3 × 2 × 1 ) on numerator / denominator
= (8 × 7 ) / 2 × 1
= 56 ÷ 2
= 28
Apologies for formatting.
Alexa has $900 in a savings account that earns 2% annually. The interest is not compounded. How much will she have in total in 5 years? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
Alex will have a total of $990 in 5 years.
Step-by-step explanation:
Using the formula [tex]i=prt[/tex] we get [tex]i=900[/tex] × [tex]0.2[/tex] × [tex]5[/tex] which equals 90
[tex]900 + 90 = 990[/tex]
Find the value.
4³ =
A
12
с
B
81
64
Answers
4³ = 64
Answer: 64
Step-by-step explanation:
43 = (4)(4)(4)
=64
OR
4x4x4=64
Work out the area of this triangle.
8 cm
11 cm
13 cm
Answers
Answer:
44
Step-by-step explanation:
BxH/2=Area
8x11=88
88/2=44
area=44
What is the image of (7, 8) after a reflection over the line y = -x?
Answers
Answer:
If you connect the 2 dots it will give a X image.Both lines will cross each other forming the X
What is the complete factorization of the polynomial below?
x³-2x²+x-2
A. (x-2)(x + 1)(x-1)
B. (x + 2)(x + 1)(x-1)
C. (x + 2)(x-1)(x-1)
D. (x-2)(x-1)(x-1)
Answers
Answer:
(x-2)(x^2+1)
do not exist the answer, so check your question
Step-by-step explanation:
(x^3-2x^2)+(x-2) = x^2(x-2)+(x-2)
= (x-2)(x^2+1)
6 divided by 0.528 long division (answer QUICKLY)
Answers
Answer: 11.36
Step-by-step explanation:
↓ Please look in the screenshot below...
What is the y-intercept of the
grouph of the line whose equation is
y = -2/5 x +4?
Answers
Answer:
b = 4
Step-by-step explanation:
y = mx + b represents the equation of a line
m represents the slope
b represents the y-intercept
Based on what we're given, we could determine that 4 is our y-intercept or b.
On a standardized exam, the scores are normally distributed with a mean of 135 and a standard deviation of 20. Find the z-score of a person who scored 115 on the exam.
Answers
The value of z-score of a person who scored 115 on the exam will be;
⇒ z - score = - 1
What is Standard deviation?
Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The scores are normally distributed with a mean of 135 and a standard deviation of 20.
Now,
Since, The scores are normally distributed with a mean of 135 and a standard deviation of 20.
We know that;
⇒ z - score = X - μ / σ
Substitute all the values, we get;
⇒ z - score = 115 - 135 / 20
⇒ z - score = - 20/20
⇒ z - score = - 1
Thus, The value of z-score of a person who scored 115 on the exam will be;
⇒ z - score = - 1
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14,032.8/ 1,000 this is my q and a i nedd this to colm
Answers
Answer: 14.0328
Step-by-step explanation:
Answer: 14.032
Step-by-step explanation: you just have to move the decimal point
Andrea started out the day with 2 quects and sold some each hour. Lee started the day with 12 quects and sold some each hour. The graph below represents the number of quects each person has after x hours. Estimate the number of quects each person will have when they have the same amount.
Answers
Each person will have 3 quects when they have the same amount
How to estimate the number of quects each person will have when they have the same amount?
Given that:
Andrea started out the day with 2 quects and sold some each hour. Lee started the day with 12 quects and sold some each hour.
The equation of a line is of the form y = mx+c
where m is the slope and c is the y-intercept
For Lee
y =mx+c
c = 12
m = 12-8/0-1 = 4/( -1) = -4
y = -4x+12
For Andrea
y =mx+c
c = 2
m = 2-1/0-1.5 = 1/(-1.5) = -2/3
y = -2/3 x + 2
At the same amount y = -4x+12 is equal to y = -2/3 x + 2. Thus:
-4x+12 = -2/3 x + 2
4x-2/3 x = 12-2
10/3 x = 10
10x = 30
x = 30/10 = 3
Therefore, at 3 quects each person will have when they have the same amount
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Mackenzie is trying to find the height of a radio antenna on the roof of a local
building. She stands at a horizontal distance of 29 meters from the building. The
angle of elevation from her eyes to the roof (point A) is 24°, and the angle of
elevation from her eyes to the top of the antenna (point B) is 32°. If her eyes are 1.71
meters from the ground, find the height of the antenna (the distance from point A to
point B). Round your answer to the nearest meter if necessary.
Answers
The antenna's height is determined to be 10 m using right triangle relations.
What are the relations in a right triangle?Following are the relationships in a right triangle:
The sine of an angle is equal to the length of the hypotenuse divided by the length of the side opposite the angle.
The cosine of an angle is equal to the neighboring side's length divided by the hypotenuse's length.
The tangent of an angle is calculated by dividing the length of the angle's adjacent side by its opposite side.
So, n this case, the side opposite to the 17o angle is the vertical height from her eyes to the top of the antenna, and the next side is the horizontal distance of 29 m, then:
tan 17° = h/29
h = 29 tan 17°
h = 8.87
Including eye height:
h = 8.87 + 1.51 = 10.38 m.
The antenna is 10 meters tall, rounded to the nearest meter.
Therefore, the antenna's height is determined to be 10 m using right triangle relations.
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eg=72. if ef = 4x-3 and fg = 6x+9 then x+?
Answers
The value of x has been solved as 6.4
How to solve for xWe would have EG = EF + FG
where EG = 70
EF = 4x-3
FG = 6x+9
We would have to put these values in the equation that we have above, such that we would have, To the respective variables, connect the related terms:
70 = (4x-3) + (6x+9)
Separate the x variable. Because of the equal symbol, everything you do on one side also affects the other.
Open the brackets
70 = 4x + 6x -3 + 9
70 = 10x + 6
70 - 6 = 10x
64 = 10x
divide through by 10
x = 64 / 10
x = 6.4
Hence the value of x would be given as 6.4
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Systolic blood pressure for a group of women is normally distributed, with a mean of 115 and a standard deviation of 9. Find the probability that a woman selected at random has the following blood pressures. (Round your answers to four decimal places.) (a) greater than 130 (b) less than 108 (c) between 108 and 122
Answers
The probability that the blood pressure of woman is more than 130 by given normal distribution is 0.9505
What is z-value?
The standard score in statistics is the amount of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean.
We are given a normal distribution with a mean value 115 and standard deviation 9
And we are asked to find the probability that a woman selected at random has blood pressure greater than 130
We first find the z-value
z= (x-μ)/σ
z= (130-115)/9
z= 15/9
z= 1.6666
Now the corresponding value is
Probability is 0.95
Hence the probability is 95%
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A survey of 2000 subscribers to a certain news paper revealed that 1800 people subscribe to the daily morning edition and 1000 subscribe to both the daily and the sunday editions. how many subscribe to the Sunday edition? how many subscribe to the Sunday edition only?
Answers
1200 people subscribed Sunday edition and 200 people subscribed only sunday edition.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that A survey of 2000 subscribers to a certain news paper revealed that 1800 people subscribe to the daily morning edition
And 1000 subscribe to both the daily and the sunday editions.
Let x denote the number who subscribe to the Sunday edition.
Then the addition rule with overlap tells us that is;
1800 + x – 1000 = 2000
800 + x = 2000
x = 1200
so, 1500 subscribe to the Sunday edition and 1200 – 1000 = 200 subscribe to the Sunday edition only.
Hence, 1200 people subscribed Sunday edition and 200 people subscribed only sunday edition.
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Which relation is a function?
Answers
Answer:
i think A is a function because when you search what it looks like it looks kind of like A so i am sure it is A
Step-by-step explanation:
The diameter of a circle is 18m.Eugene claims that the circumference of the circle is about 113.04m.
Answers
Answer:
formula. for circumference of a circle is. : 2πR. if you have the radius.
As the diameter is twice the radius, then circumference is. diameter π
then : 18*π≈ 56.52
the mistake was to take the diameter as the radius.
Step-by-step explanation:
check answer
Part of your job as manager is to count the cash for the daily bank deposit. When you count thecash, you have 47 ones, 22 fives, 9 tens and 17 twenties. You also have 67 pennies, 12 nickels, 9dimes and 15 quarters. What is the total amount of the deposit?
Answers
Answer:
$592.92
Step-by-step explanation:
Part of your job as manager is to count the cash for the daily bank deposit. When you count the cash, you have 47 ones, 22 fives, 9 tens and 17 twenties. You also have 67 pennies, 12 nickels, 9dimes and 15 quarters. What is the total amount of the deposit?
47 ones = $47
22 fives = $110
9 tens = $90
17 twenties = $340
67 pennies = $0.67
12 nickels = $ 0.60
9 dimes = $0.90
15 quarters = $3.75
$47 + $110 + $90 + $340 + $0.67 + $ 0.60 + $0.90 + $3.75 = $592.92
WILL GIVE BRAINLY, BUT WILL REPORT NONSENSE ANSWERS...
Why doesn't the following function have a hole at x=2, the function is 3x(x-2)/(x-2)(x-2)?
Answers
Answer:
This is because the function is an exception - it is a special type of function called a Separatrix Separation Function.
Step-by-step explanation:
The Separatrix Separation Function theorem helps us prove through complex conjugates the reason why there is no hole at x =2.