The value of the function (f/g)(x) when x=2 is 2
Function:
The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
⇒(f/g)(x)=[tex]\frac{f(x)}{g(x)}[/tex]
⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]
Given f(x)=2[tex]x^{2}[/tex] and g(x)=3x-2
⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]
⇒(f/g)(2)=[tex]\frac{2(2)^{2} }{3(2)-2}[/tex]
⇒(f/g)(2)=[tex]\frac{8}{4}[/tex]
⇒(f/g)(2)=2.
Therefore,The value of the function (f/g)(x) when x=2 is 2
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Marcus keeps a record of the money he has in his checking account. In January he wrote checks totaling $45. In February he made a deposit of $100. In March he did not deposit any money nor did he write any checks. Use integers to describe each month's activity in the account.
Marcus' account's activity is shown using integers in the table given below.
What are integers?An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign (1, 2, 3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. The set of integers is frequently denoted by a Z in mathematical notation.Then,
In January Marcus wrote checks totaling $45.In February he made a deposit of $100.In March he did not deposit any money nor did he write any checks.So, the activity of Marcus account's using integers is shown in the table below.
Therefore, Marcus' account's activity is shown using integers in the table given below.
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Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40
Answer:
is correct
x^3 -7x^2+2x +40
multiply the constants of the factors (each factor has opposite sign of the zero)
(x+2)(x-4)(x-5) 2(-4)(-5) = 40, that eliminates all but c) and d)
(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5) by using FOIL on the 1st two factors
then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)
-5 times -2x = 10x, x times -8 = -8x. 10x-8x = 2x which c) has but d) doesn't.
Step-by-step explanation:
Hailey signed up for a streaming music service that costs $12 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1 per song. How much total money would Hailey have to pay in a month in which she downloaded 15 songs? How much would she have to pay if she downloaded ss songs?
a company charges $80 per day plus $0.30 per mile for truck rentals. If Greg rents a truck for 3 days and drives 200 miles, how much will the company charge?
What is (-2/3)+(7/8)?
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
[tex]\frac{(-2*24)/3+(7*24)/8}{24}[/tex]=
[tex]\frac{-2*24/3+7*24/8}{24}[/tex]=
[tex]\frac{-2*8+7*3}{24}[/tex]=
[tex]\frac{-16+21}{24}[/tex]=5/24
Solve the equation for x.
27
(14 − 28x) = 20
Answer:
27 times (14 and 28)
378-756=20
-378=20
Put it (-378) on the other side
Your answer: 398
Thank you,daintyswordCompute the derivatives of the Michaelis Menten kinetics
V=Kx/kn + x
where K and kn are constants.
We get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.
We are given a function:
V = K x / k n + x
where K and k n are constants.
We need to find its derivative with respect to x
Derivative refers the rate of change of a function with respect to a variable.
Now differentiating with respect to x , we get that:
d V / d x = k / k n ( 1 ) + ( 1 )
d v / d x = k / k n + 1
Therefore, we get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.
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Taylor took out a 1,500$ discounted loan calculated using a simple interest rate of 2.5% for a period of 4 years. How much money does Taylor receive initially?
The initial amount that Taylor receive initially is $1500.
How to calculate the value?Based on the information given, the following can be illustrated:
Interest = 1500
Time = 4 years
Rate = 2.5%
Principal = Unknown
Interest = PRT/100
1500 = (P × 4 × 2.5)/100
150000 = 10P
Divide
P = 150000/100
P = 1500
The initial amount is $1500.
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It takes you 53 seconds to walk from the first (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor (at the same pace, assuming all floors have the same height)?
The time it takes to walk from the first floor to the sixth floor is 132.5 seconds.
What is a division?The division is a process of splitting a specific amount into equal parts.
We have,
To walk from the first floor to the third floor it takes 53 seconds.
From the first floor to the third floor there are two floors.
So we can say that the number of seconds it takes to walk to one floor is 53/2 assuming that each floor has the same height.
We have,
= 53 / 2
= 26.5 seconds
There are 5 floors from the first floor to the sixth floor.
So the time it takes to walk from the first floor to the sixth floor is:
= 26.5 x 5
= 132.5 seconds
We can also say that,
132.5 seconds = 2.20 minutes = 2 minutes 12 seconds
Thus the time it takes to walk from the first floor to the sixth floor is132.5 seconds.
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Please help!
Multiply.
[−135⋅(−6)]⋅(−334)⋅10
What is the product?
Multiply
(−135⋅−6)⋅(−334)⋅10.
=
−2705400
Answer: im gonna add the answers for the whole test
Filomena applies the commutative property to the product
answer:(7/15)⋅(30)⋅(−11)
Which equation applies the associative property of multiplication?
Answer: (−9/4⋅3/2)⋅(6/3⋅5/7)=−9/4⋅(3/2⋅6/3)⋅5/7
Multiply by applying the commutative and/or associative property
(3/10)(−3.2)(−100)
What is the product?
Answer:96
Multiply.
[−3⋅9/15]⋅[(−0.1)⋅(−28)]
What is the product?
Answer: -5.4
Multiply.
[−135⋅(−6)]⋅(−334)⋅10
What is the product?
Answer: -360
Step-by-step explanation:
just finished the test and failed so I have the answers
Finn completed 27 situps. Ellen completed 9 situps. Finn completed n more situps than Ellen. How would you determine this?
Answer: finn did 18 more situps than ellen
Step-by-step explanation:
(13 + 7 ^ 2 / 7)/(9 - 20/4 - 16)
Answer:
-5/3
Step-by-step explanation:
= (13+7*7/7)/(9-20/4-16)
= (13+7)/(9-5-16)
= 20/(-12)
= -5/3
what are the missing lengths for the triangle 45 45 5v2
3.5355339 cm are the missing lengths for the right triangle.
What is right triangle ?
A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs
n√2=5
n=5/√2
multiply both terms by √2
n=5√2/2, or...
n=2.5(1.4142136)
n=3.5355339 cm (round as needed)
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The complete question is -
The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.
The table shows how long it takes for Building
Brothers to build and renovate homes. If the
company has been renovating homes for
16 years, how many homes has it renovated? Renovate a house: 8 months
Since Building Brothers have been renovating homes for 16 years, the number of homes renovated is 24.
How is the number of homes determined?We can use mathematical operations of addition, subtraction, division, and/or multiplication to determine the missing value.
The first effort is converting 16 years into months. The product is divided by 8 months to arrive at the quotient of 24 homes that were renovated within 16 years.
Data and Calculations:Time period = 16 years
Time spent to renovate a house = 8 months
12 months = 1 year
Total number of months spent = 192 months (16 x 12)
The number of renovations = 24 (192/8)
Thus, Building Brothers have renovated 24 homes within 16 years.
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12 x (-2/3) =
A. 1/8
B. -8
C. 8
D. -1/8
Answer:
B.-8
= 12 * (-2/3)
= -24/3
= -8
a rectangle has a length of 5^3 units and a width of 5^2 units what is the area of the rectangle.
Answer:
Area = 3,125 units squared
Step-by-step explanation:
5^3= 5 x 5 x5 = 125
5^2= 5 x 5 = 25
Area = L x W = 125 x 25 = 3,125 ^2
Penelope has two kittens. Dot weighs 3.83 pounds, and Dash
weighs 3.805 pounds. Which kitten weighs more?
Fill in the place-value chart with the weights of the two kittens.
Then explain how you can use the chart to solve the problem.
On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?
Answer:
the answer is 136 miles
Please help!! its appreciateddd hurry plssss
Using translation concepts, the graph of g(x) is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Function f(x) is a concave up parabola with vertex at (1, -5). For the translation g(x) = f(x + 2), we have that the function is shifted two units left, as:
g(x) = f(x + 2) = (x + 2 - 1)² - 5 = (x + 1)² - 5.
Which is a concave up parabola with vertex at (-1, -5), and the graph is given at the end of the question.
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Answer: 15
Step-by-step explanation:
its 15 because 1+1 is 2 which is equal to 2 and u h... plus 10 is 12. 12+3 is 15. the answer is 15 because I like that number and iI'm typing random stuff right now, wondering if you'll log in to brai.nly again one day and just see this du mb message. anyway hi kin !
feb 23, 2023 :)
The school band is having a car wash to raise money. Their goal is to collect $150. So far they have earned $10 each from three families and $5 each from fifteen families. How much more money do they have to earn to reach their goal?
What is chicken nugget please
Answer: chicken
Step-by-step explanation: a chicken nugget is a very roasted chicken in certain part of the body to make a chicken nugget and then ya got yourself a chicken nugget.
Which of the following is considered to have two dimensions?
Answer: objects that are flat plane figures that have two dimensions; length and width.
example: squares, circles, rectangles, and triangles are examples of two-dimensional objects.
Step-by-step explanation:
Dr. Grumman got his first job in 1990. In that year, the government took out 7.45% of each income for Social Security and Medicare, until a person made $51,300. If Dr. Grumman earned$31,340 in 1990, how much did he pay to Social Security and Medicare?
The amount paid for Social Security and Medicare will be $2335.
How to calculate the value?The government took out 7.45% of each income for Social Security and Medicare and Dr. Grumman earned $31,340 in 1990.
Therefore, the amount paid for Social Security and Medicare will be:
= Medicare percentage × Total income
= 7.45% × $31340
= 0.0745 × $31340
= $2335
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9 divided by 836 step by step
Answer: 92 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
836/9=
(800+36)/9=
800/9 + 36/9=
800/9 + 4 =
(792+8)/9 + 4=
792/9 + 8/9 + 4=
88 + 8/9 + 4=
88+4+8/9=92 [tex]\frac{8}{9}[/tex]
Which of the following are exterior angles? Check all that apply.
2
46
0₂1
5
A. 25
B. 26
F. 22
C. 23
☐ D. 24
OE. 21
Answer:
2, 5, 6, and 3 or A B C and F
Step-by-step explanation:
The exterior angles are ∠2, ∠3, ∠5 and ∠6.
What are exterior angles?Angles that are found outside or external to any geometric shape are called exterior angles.
They are also sometimes known as external angles or turning angle.
An exterior angle is made by extending one of the lines of the shape beyond the point of intersection.
Given is a figure, we need to find which of angles in the figure are exterior angles,
So, according to the definition of exterior angles,
The exterior angles are :-
∠2, ∠3, ∠5 and ∠6, because they are outside the figure as well as they are formed by the point of intersections.
Hence, the exterior angles are ∠2, ∠3, ∠5 and ∠6.
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1/(x+1) = -1/ x-1
true or false
Answer:
False
Step-by-step explanation:
it would be positive, not negative.
1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation
Change in Rosa's elevation from starting to end of her hike is 692 feet.
What is elevation in a hike?
Elevation is the height of hiker above the sea level at any point of the hike.
At the starting of the hike , Rosa was at an elevation of = -600feet
At the ending of the hike, Rosa is at an elevation of = 92 feet
Change in elevation = final elevation - initial elevation
= 92-(-600) = 692 feet
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I need help with cumulative frequency pleaseee!!
The cumulative frequency for a given range is the sum of all the relative frequencies that belong to that range.
The CFs for the given grade ranges are
• ≤ 49 :
9/67
• ≤ 59 :
9/67 + 10/67 = 19/67
• ≤ 69 :
9/67 + 10/67 + 10/67 = 29/67
• ≤ 79 :
9/67 + 10/67 + 10/67 + 14/67 = 43/67
• ≤ 89 :
9/67 + 10/67 + 14/67 + 14/67 + 15/67 = 58/67
• ≤ 100 :
9/67 + 10/67 + 10/67 + 14/67 + 15/67 + 9/67 = 67/67 = 1
whats a equivalent expression for the square root of 13 x the square root of 13
Answer:
[tex]2(13^{2})[/tex]
Step-by-step explanation:
[tex]13^2 + 13^2 = 13^2[/tex] x [tex]2 = 2(13^2)[/tex]
We can check the work.
[tex]13^2 +13^2= 169 + 169 = 338\\\\\\2(13^2)= 2(169)= 338[/tex]
Plot the intercepts to graph the equation.
9x−4y=−36
Graph it
For the line 9x−4y=−36 we have:
x-intercept (-4, 0)
y-intercept (0, 9)
The graph of the line can be seen below.
How to graph the linear equation?Here we have the linear equation:
9x - 4y = -36
First, the x-intercept is what we get when y = 0, then:
9x - 4*0 = -36
9x = - 36
x = -36/9 = -4
Then we have the point (-4, 0)
And the y-intercept is what we get when evaluate the variable x = 0, so:
9*0 - 4*y = -36
y = -36/-4 = 9
Then we have the point (0, 9)
Now just graph these two points, and connect them with a line, you will get the graph below.
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