For f(x) = 4x + 1 and g(x) = x² - 5 find (g/f)(x)
I need help with this one :/
Answers
Answer:
always go with C- trust me its helped me alot
Step-by-step explanation:
(f+g)(x) = x2+4x−4
Explanation: add them together
f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4
Related Questions
If f(x) =5x2 - 3x + 1, calculate the following
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Answer:
a) 199
f(-6)= 5(-6)^2 - 3 (-6) + 1 =199
b) 37
f(3)= 5(3)^2 - 3 (3) + 1 =37
If you love codes answer this question!
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Answer:
Your answer would be
(a) FPUGT.
Answer the A, B or C from the image. I understand it will be challenging… so I will be giving brainliest to whoever answers more than one. And many points to whoever answers even one.
!Any fake answers; ex. Blank answers. Will be reported!
Take as much time as you need, I will be trying to answer them myself in the meantime.
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B. The subtraction should occur within the parentheses before the exponent is applied.
C. Follow PEMDAS rules to solve.
See details:
Match the polynomial expression on the left with the simplified version on the right.
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Given the following question:
First expression:
[tex]\begin{gathered} \frac{12x^3-14x^2+16x-8}{3x-2} \\ \text{ Factor the expression:} \\ 12x^3-14x^2+16x-8=2(6x^3-7x^2+8x-4) \\ \frac{2\left(6x^3-7x^2+8x-4\right)}{3x-2} \\ \text{ Factor:} \\ 2\left(6x^3-7x^2+8x-4\right)=(3x-2)(2x^2-x+2) \\ =(3x-2)(2x^2-x+2)=2\left(3x-2\right)\left(2x^2-x+2\right) \\ \frac{2\left(3x-2\right)\left(2x^2-x+2\right)}{3x-2} \\ \text{ Cancel the common factor:} \\ -(3x-2) \\ 4x^2-2x+4 \end{gathered}[/tex]Second expression:
[tex][/tex]suppose that a high school marching band has 108 members. of these 108 band members, 39 are seniors, 23 play the trumpet, and 8 are seniors who play the trumpet. what is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? give your answer as a percentage, rounded to one decimal place.
Answers
The probability that a randomly selected band member is a senior given that he or she plays the trumpet is 34.78%.
Probability is defined as the likeliness of an event to happen. It can be calculated by dividing the total desired outcomes by the total outcomes.
P = desired outcomes / total outcomes
Of the 108 band members, if 23 play the trumpet, and 8 are seniors who play the trumpet, then the probability that a randomly selected band member is a senior given that he or she plays the trumpet is 8 divided by 23.
P = 8/23 x 100
P = 34.78%
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out of 100 people which are either tall or fat or both, 62 are tall, and 55 are fat. if i select one random person out of the 100 what is the probability, he is both tall and fat?
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The probability a selected person is both tall and fat is 0.341
How to determine the probability?From the question, the given parameters are
People = 100
Fat = 55
Tall = 62
So, the individual probabilities are
P(Fat) = 55/100
P(Tall) = 62/100
Evaluate
P(Fat) = 0.55
P(Tall) = 0.62
The probability a person is both tall and fat is
P(Fat and Tall) = P(Fat) * P(Tall)
So, we have
P(Fat and Tall) = 0.55 * 0.62
Evaluate
P(Fat and Tall) = 0.341
Hence, the probability is 0.341
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a certain store has 3,000 employees working at its main location in a city and 100 employees working at a smaller location outside the city. the store manager will select a sample of 50 employees from all the employees to ask their opinions about extending store hours during the holidays. what is the advantage of selecting a stratified random sample, with location as strata, instead of a simple random sample? responses
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The answer is the stratified sample assures that the opinions of employees from both locations will be represented..
The survey results will accurately reflect the opinions of both urban and rural employees if you choose this option. By soliciting feedback from employees in both regions, it will be possible to ensure that any policy based on the results of this survey not only represents the interests of urban employees, who make up the bulk of the workforce, but also those of rural employees.
Option B is untrue since a stratified sample will cost more to implement than a straightforward random sample and won't always result in financial savings.
Option C does not applicable because it is just a supposition without any supporting data.
Choice D is False, since a stratified sample in this situation produces results that are more typical of the store's employees from both locations than a random sample.
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printer a can print a 300 page document in 10 minutes. printer b can print a 400 page document in 8 minutes. Both printers were run until a total of 1000 pages were printed. How many pages did printer b print?
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Answer:
625 pages
Step-by-step explanation:
Rate x time of the one printer + the rate x time of the second printer = 1000 pages
t= time
([tex]\frac{300}{10}[/tex] )t +( [tex]\frac{400}{8}[/tex]) t = 1000
30t + 50t = 1000
t(30 + 50) = 1000
80t = 1000 Divide both sides by 80
t = 12.5
It took 12.5 minutes to get this job done with both printers.
Look at printer b
[tex]\frac{400}{8}[/tex] (12.5) = pages
50 x 12.5 = 625 pages
What is the equation of the line that passes through the point (-6, 5) and has a
slope of - 3/2
Answers
Answer:
y = - [tex]\frac{3}{2}[/tex] x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{3}{2}[/tex] , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 6, 5 ) into the partial equation
5 = 9 + c ⇒ c = 5 - 9 = - 4
y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line
after two weeks, Akira and Taro biked a total 276 miles. after 3 weeks they had biked a total of 413 miles. how many miles did they ride in third week?
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From the given question
There are given that the :
After two weeks, the total miles is 276 and after 3 weeks, the total miles are 413
Now,
The total miles did they ride in the third week is:
[tex]413-276=137[/tex]Hence, the total miles in the third week is 137.
Let f(x) = -3x³ + 9x² - 5x + 15. Use the Factor Theorem to help answer the
following questions.
a) Is a
O Yes
O No
b) Is x + 1 a factor of f(x)?
O Yes
No
1 a factor of f(x)?
c) Is a 3 a factor of f(x)?
O Yes
O No
Answers
Answer:
See below. I added words tro the first question "Is a" so that I could answer it.
Step-by-step explanation:
f(x) = -3x³ + 9x² - 5x + 15
f(x) = -(x-3)(3x² + 5)
x((9-3x)x-5)+15
-3(x-1)[tex]x^{3}[/tex] + 4(x-1) + 16
=======
a) Is a [ghost happy]?
O Yes Yes, as long as it can haunt.
O No
b) Is x + 1 a factor of f(x)?
O Yes Yes
No
1 a factor of f(x)?
Always
c) Is a 3 a factor of f(x)?
O Yes
O No No, as far as I can see.
Find the missing dimension of the figure shown to the right round to the nearest 10th
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Given the right triangle:
The Pythagorean theorem states that:
[tex]a^2+b^2=c^2[/tex]From the problem, we identify:
[tex]\begin{gathered} b=14^{\prime}^{\prime} \\ c=19^{\prime}^{\prime} \end{gathered}[/tex]And a is our missing value. Using the Pythagorean theorem:
[tex]\begin{gathered} a+14^2=19^2 \\ a^2=361-196 \\ a=\sqrt[]{165} \\ a=12.8^{\prime}^{\prime} \end{gathered}[/tex]24. Oranges were packed in boxes of 90. There were 5 packed boxes. 1/5 of the oranges were rotten How many oranges were not rotten? |giving 30 pints!!
Answers
Answer:
Find the total number of oranges.
Total oranges = 90 × 5
= 450
Since 1/5 were rotten oranges,
Fraction of oranges that were not rotten
= Fraction of total oranges - Fraction of rotten oranges
= 5/5 - 1/5
= 4/5
Number of oranges not rotten = 4/5 × 450
= 360
5. Eggs are packaged in cartons of 12.
Which of these numbers of eggs can be packaged
in full cartons? How do you know?
a) 96 b) 56 c) 60 d) 74
Answers
Answer: C) 60
Step-by-step explanation: If you keep adding 12 the only number that I get on the list is 60.
For A Brainlist !! Please Help Iwill Mark Brainlist I appreciate it so much I think its D but im not sure
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The operations which must be part of the inverse function g(x) are:
Add 3Divide by 2.What is an inverse function?An inverse function can be defined as a type of function that is obtained by reversing or undoing a mathematical operation in a given function (f(x)).
In Mathematics, a given function (f(x)) and its inverse function has the following property f⁻¹(f(x)) = x.
Generally speaking, the inverse of multiplication is division while addition is the inverse of subtraction. In this context, we can reasonably and logically deduce that a "division by 2," followed by an "addition of 3" to the function f(x) are the operations that must be part of the inverse function g(x).
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Find the missing length of the triangle. 6.5 mm 2.5 mm b The missing length is millimeters.
Answers
In order to determine the value of the missing length b, use the Pithagorean theorem, given by:
h² = a² + b²
where:
h = 6.5 mm
a = 2.5 mm
solve the previous equation for b, as follow:
b = √(h² - a²)
b = √(6.5² - 2.5²)mm
b = √36 mm
b = 6 mm
Hence, the value of the missing length is 6 mm
Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
Answers
The slope of the given lines are:
Graph 1 = 1/3
Graph 2 = -1/3
Graph 3 = 3
Graph 4 = -3
How to Find the Slope of a Line?To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:
Slope of a line (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
Find the slope of Graph 1:
Using two points on the line, (0, 0) and (3, 1):
Slope of graph 1 (m) = (1 - 0)/(3 - 0)
Slope of graph 1 (m) = 1/3
Find the slope of Graph 2:
Using two points on the line, (0, 0) and (-3, 1):
Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3
Slope of graph 2 (m) = -1/3
Find the slope of Graph 3:
Using two points on the line, (0, 0) and (1, 3):
Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1
Slope of graph 3 (m) = 3
Find the slope of Graph 4:
Using two points on the line, (0, 0) and (-1, 3):
Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1
Slope of graph 4 (m) = -3
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the variance inflation factor (vif) is another measure that can detect a high correlation between three or more predictor variables even if no pair of predictor variables has a particularly high correlation. what is the smallest possible value of vif? (absence of multicollinearity).
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Variance inflation factor can have a value as low as one (absence of multicollinearity). A VIF number greater than 5 or 10 generally denotes collinearity that is problematic.
The variance of bj is not inflated at all if the VIF is 1, which indicates that there is no association between the jth predictor and the other predictor variables.
VIF equal to 1 signifies that there is no correlation between the variables. A VIF of 1 to 5 indicates a moderate correlation between the variables. Variables are highly linked when the VIF is greater than correlated2.
VIF = 1.0 if all independent variables are orthogonal to one another. VIF = infinity if there is perfect correlation.
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Help quickly please…..!!!!!!!!
Answers
The equation without fraction is 51 - 8x = 0
What are Linear equations?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. The standard form of a linear equation in one variable is the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.So, the equation is:
5 - 2/3 x = 3/4Rewrite in a more simplified form:
first, take the LCM, we get -
(15 - 2x) / 3 = 3/4Now, take LHS denominator 3 to RHS:
15 - 2x = (3 * 3) / 415 - 2x = 9 / 4Now, take 4 from RHS to LHS:
4(15 - 2x) = 960 - 8x = 9At last, decrease 9 by 60:
60 - 9 - 8x = 051 - 8x = 0Therefore, the equation without fraction is 51 - 8x = 0
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What is the image of (0,-8) after a reflection over the line y=x
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the reflection over the line y=x tells us to swap the points.
Therefore the point (0,-8) becomes (-8,0)
Evaluate the following quotient. Leave your answer in scientific notation(5.44 x 10-18) + (6.8 x 10-))Answer
Answers
Given:
[tex](5.44\times10^{-18})\div(6.8\times10^{-9})[/tex]It can be written as follows.
[tex](5.44\times10^{-18})\div(6.8\times10^{-9})=\frac{5.44\times10^{-18}}{6.8\times10^{-9}}[/tex][tex]\text{Use }\frac{1}{10^{-9}}=10^9.[/tex][tex]=\frac{5.44\times10^{-18}\times10^9}{6.8^{}}[/tex][tex]=\frac{5.44\times10^{-18+9}^{}}{6.8^{}}[/tex][tex]=\frac{5.44\times10^{-9}}{6.8^{}}[/tex]Dividing 5.44 by 6.8, we get
[tex]=0.8\times10^{-9}^{}[/tex][tex](5.44\times10^{-18})\div(6.8\times10^{-9})=0.8\times10^{-9}[/tex]
Hence the quotient is
[tex]0.8\times10^{-9}[/tex]7. |4n+ 2|= 34 solve for “N”
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By solving |4n+2|=34 solve for N we get 8 .
What is N factor?
The factorial of a non-negative integer n, denoted by n!, is the product of all positive of integers less than or equal to n. The factorial of n also equals to the product of n with the next smaller factorial: For example, These are value of 0! is 1, according to the convention for an empty of product.
Sol-|4n+2|=34
Split into two equations
4n+2 = 34 or 4n+2=-34
4n+2 =34
Rearrange variable to the left side of the equation
4n =34-2
Calculate the sum or difference
4n=32
Devide both side of the equation by the coefficient of variable
n=32/4
Cross out the common factor
n=8
When n=8
LHS = |4×8+2|=34
RHS =34
LHS =RHS
Thus 8 is valid.
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a gas grill originally priced at 399 is on sale for 30% off
what is the sales price of the grill?
sales tax is 8.375% find the price you will pay (including tax)
Answers
Answer:
$302.69
Step-by-step explanation:
399 x 30% = 119.7 # finding how much you save
399 - 119.7 = 279.3 # how much the item costs with the sale
279.3 x 8.375 = 23.39 # the sales tax for the discounted item
297.3 + 23.39 = 302.69 # adding sales tax to the discounted item
I think this is right. I was never that great at sales tax and discount.
Convert the decimals below into fractions.
Use the symbol to represent the fraction bar. For example, you can expressas 2/3. Where necessary, express answers as improper fractions and in simplest
form.
0.25=
Type answer here. Be careful with spelling.
0.36
Type answer here. Be careful with spelling.
1.04 =
Type answer here. Be careful with spelling
Answers
0.36 = 36/100 = 9/25
1.04 = 104/100 = 26/25
Kayla is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28.15 meters. She stands 23.1 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter. -28.15 m (Diagram is not to scale.) T 1.85 m 23.1 m-
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The height of the tree is approximately 2.11 meters if Kayla is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28.15 meters.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
Kayla is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28.15 meters.
D = 39.75 m
d = 34.9 m
H:h = D:d
H/1.85 = 39.75/34.9
H = 2.11 m
Thus, the height of the tree is approximately 2.11 meters if Kayla is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28.15 meters.
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You will have $ in five years if you set aside $1,000 a year at 8%.
Answers
An athlete swims at a constant rate. After 12 minutes, the swimmer swims 16 laps. A. Graph this relationship. B. Is this a proportional relationship? Explain.
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Answer:
Step-by-step explanation:
I need answer and work shown step by step and if graph needs to be shown please show it as well
Answers
SOLUTION.
AC and BD will intersect at the mid-point between points A and C.
So let's find the mid-point between points A and C
Point A(-2, 4) and point C(-6, 0)
This becomes
[tex]\begin{gathered} \text{Mid}-poi\text{nt = (}\frac{x1+x2}{2}),(\frac{y1+y2}{2}) \\ \\ =\frac{-2-6}{2},\text{ }\frac{4+0}{2} \\ \\ =\frac{-8}{2},\text{ }\frac{4}{2} \\ \\ \text{Mid-point= (-4, 2) } \end{gathered}[/tex]Therefore, the correct answer is option C.
3. Find the equation of a line passing through (5,-6) parallel to : x + 3y = 8
Answers
The general slope intercept form is : y = m * x + b
Where m is the slope and b is y - intercept
Given the equation of the line : x + 3y = 8
Write the equation in slope intercept form to find the slope of the line
so, solve for y :
[tex]\begin{gathered} x+3y=8 \\ 3y=-x+8 \\ \\ y=-\frac{1}{3}x+\frac{8}{3} \end{gathered}[/tex]So, the slope of the given line = -1/3
The parallel lines have the same slope
so, the slope of the required line = -1/3
And the equation will be :
[tex]y=-\frac{1}{3}x+b[/tex]Find the value of b using the given point ( 5 , -6 )
When x = 5 , y = -6
[tex]\begin{gathered} -6=-\frac{1}{3}\cdot5+b \\ -6=-\frac{5}{3}+b \\ -6+\frac{5}{3}=b \\ \\ b=-\frac{13}{3} \end{gathered}[/tex]So, the equation of the line will be :
[tex]y=-\frac{1}{3}x-\frac{13}{3}[/tex]it can be written as : 3y = -x - 13
[tex]x+3y=-13[/tex]Which expression is equivalent to the following?
(5×10−3)+(6×10−3)2.2×104
5 × 10-7
5 × 10-1
5 × 10-10
5 × 107
Answers
Answer:
[tex]5 \times 107 = 535[/tex]
This is equivailent to the following