if f(x)=4x^2+1 and g(x) =x^2-5 find (f-g)(x)
Answers
Answer:
\(\huge\boxed{(f-g)(x)=3x^2+6}\)
Step-by-step explanation:
\((f-g)(x)=f(x)(x)\\\\\text{substitute}\ f(x)=4x^2+1\ \text{and}\ g(x)=x^2-5\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)=4x^2+1-x^2+5\\\\\text{combine like terms}\\\\(f-g)(x)=(4x^2-x^2)+(1+5)=3x^2+6\)
Answer: 5x^2 - 4
a p e x
Step-by-step explanation: Once you take the parenthesis away
Related Questions
It is known that the lengths of songs played on a radio station follow a normal distribution with mean 3.9 minutes and standard deviation 0.4 minutes. A sample of 25 songs is randomly selected. What is the standard deviation of the sampling distribution of the sample mean length?
Answers
The standard deviation of the sampling distribution of the sample mean length for a sample of 25 songs is 0.04 minutes.
It is known that the lengths of songs played on a radio station follow a normal distribution with mean 3.9 minutes and standard deviation 0.4 minutes.
To find the standard deviation of the sampling distribution of the sample mean length for a sample of 25 songs, you can use the formula:
Standard deviation of sampling distribution = (population standard deviation) / √(sample size)
In this case, the population standard deviation is 0.4 minutes, and the sample size is 25. Plug these values into the formula:
Standard deviation of sampling distribution = 0.4 / √25 = 0.4 / 5 = 0.08 minutes
So, the standard deviation of the sampling distribution of the sample mean length for a sample of 25 songs is 0.08minutes.
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Do the worksheet please. First one to answer gets brainly
Answers
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Answer:
Rate Unit Rate
1 2 1.5 per hour
2 3 2.5
3 2 1.87
Im soo sorry i dont have time to do the rest, if you really do need them tonight i will do them
Step-by-step explanation:
hope this helped :)
I need helpss for the problem
Answers
Answer: C
Step-by-step explanation:
PLEASE HELP FAST Looking for the bottom angle to find my answer! 30 POINTS
Answers
x = 242.7 m
Step-by-step explanation:
First we need to find the angle at one of the parachutists:
180 - 57 - 43 = 80°
We then use sine law to find the distance between the parachutists
\( \frac{x}{ \sin(57) } = \frac{285 \: m}{ \sin(80) } \)
Solving for x
\(x = (\frac{ \sin(57) }{ \sin(80) } )(285 \: m) = 242.7 \: m\)
if an equation defines a function over its implied domain, then the graph of the equation must pass the ____ ______ test
Answers
If an equation defines a function over its implied domain, then the graph of the equation must pass the vertical line test.
The vertical line test is a criterion used to determine if a graph represents a function. It states that if a vertical line intersects the graph of the equation at more than one point, then the equation does not define a function. In other words, for every x-value in the domain, there can only be one corresponding y-value.
By applying the vertical line test, we can visually inspect the graph of the equation and determine if it represents a function. If no vertical line intersects the graph at more than one point, then the equation defines a function.
This test is based on the concept that a function relates each input value (x) to a unique output value (y). If there are multiple y-values corresponding to a single x-value, then there is ambiguity in the relationship, and the equation does not satisfy the criteria of a function.
Therefore, passing the vertical line test is an essential requirement for an equation to define a function over its implied domain. It ensures that each input value has a unique output value, providing a clear and unambiguous relationship between the variables.
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what independent variable in costello et al. (2003) was not manipulated by the research team?
Answers
In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.
The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.
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HELP WORTH 10 POINTS
The picture shows the top view of a piece of glass.
A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet.
Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply.
A.
A
=
2
1
2
×
4
B.
A
=
5
2
+
4
C.
A
=
(
2
1
2
+
2
1
2
)
+
(
4
+
4
)
D.
A
=
5
2
×
4
E.
A
=
(
2
×
2
1
2
)
+
(
2
×
4
)
F.
A
=
2
1
2
+
4
Answers
The equation that can be used to determine the area of the glass is A = 2 1/2 x 4.
What is the equation that can be used to determine the area of the glass?A rectangle is a 2-dimensional quadrilateral with four right angles. A rectangle has two diagonals of equal length which bisect each other. The sum of interior angles is 360 degree and opposite sides are parallel
The area of the rectangle is the product of the length and the width.
Area of a rectangle = length x width
A = 4 x 2 1/2
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Make "t" subject by algebra:-
s=ut+at2
Answers
s=t(u + a2)
s/(u + a2) =t
Consider a sample with data values of 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and $2. Compute the mean, median, and mode.
If required, round your answers to two decimal places.
Mean = ________
Median = _________
Mode = _________
Answers
The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73
Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:
Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11
Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.
Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).
Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.
Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.
Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
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If 66 x
=48 ten
, how many base x candy bars will fit into a box holding 110 five
candy bars? x cand y bars, where x=
Answers
Since we are dealing with candy bars, we need to have a whole number of candy bars. Therefore, we round down to the nearest whole number. Hence, the number of base x candy bars that will fit into the box is 756.
To solve this problem, we need to determine the value of x in the equation 66x = 48. Dividing both sides of the equation by 66, we find that x = 48/66 = 8/11.
Now, let's determine how many base x candy bars will fit into a box holding 110 five candy bars. We know that the box holds 110 five candy bars. Since each five candy bar represents a quantity of 5, the total candy bars in the box is 110 * 5 = 550.
To find the number of base x candy bars that fit into the box, we divide 550 by the value of x. Therefore, the number of base x candy bars that will fit into the box is 550 / (8/11) = 550 * (11/8) = 756.25.
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Mark's model train can go 1/3 laps around its track in 2 mins. If it runs at the same speed,
1. How many laps can the train go in 9 mins?
2. Rate needed?
3. Unit rate?
4 Interpretation of unit rate?
Answers
In 9 mins Mark's model train can go 1.5 laps and unit rate is 1/6 laps per minute.
What is the average rate of change?It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Given, Mark's model train can go 1/3 laps around its track in 2 mins. If it runs at the same speed,
Since,
In 2 mins Mark's model train can go = 1/3 laps
Thus,
In 1 min Mark's model train can go = 1/3/2 laps
In 1 min Mark's model train can go = 1/6 laps
In 9 mins Mark's model train can go = 9/6 laps
In 9 mins Mark's model train can go = 1.5 laps
Therefore, In 9 mins Mark's model train can go 1.5 laps and unit rate is 1/6 laps per minute.
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Jose can eat for hot dogs and 10 minutes what is the rate of change per minute
Answers
Answer:
she can eat 0.4 hot dogs per minute
Answer:
first we will not know the hotdogs number
Step-by-step explanation:
because you wrote for not four but it can be 4hoursand10minute
solve for m - hp = d for p
please actually help this is my first assignment of the year and can’t fail
Answers
m - hp = d
-hp = d - m.
Then, all we have to do is isolate the “p” variable:
p = -(d - m) / h
p = ( -d + m ) / h
Write an equation for the line that passes through
(2,7) and (-1,-8)
Answers
Answer:
slope = 5
y intercept = -3
Equation = y=5x-3
Step-by-step explanation:
-8-7/(-1-2)=5
plug in a point to find y intercept
7=5(2)+b
solve for b
b=-3
write final equation:
y=5x-3
(can I get brainliest please)
1. Draw a scatter plot that shows a positive linear association and clustering.
2. Draw a scatter plot that shows a negative non-linear association and no clustering.
Answers
The grouping of data or sample points is a component of the machine learning process known as clustering.
What is Clustering?The task of arranging a set of objects into an identical group in a way that makes them more similar to one another than those found in different groups is known as cluster analysis or clustering.
A scatter plot is an unique type of plot or mathematical diagram that displays data for usually 2 parameters for a collection of data. It uses Cartesian coordinates.
Coordinates, it is a set or group of values that show an exact or accurate position.
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2. Landon, Wes, and Tim attempted 25 basketball shots each.
Landon made 36/100 of his shots.
Wes made 2/5 of his shots.
Tim made 32% of his shots.
Who shot the best % and why?
:,)
Answers
Answer: Wes shot the best because his percentage was 40% while Landon (36%) and Tim's (32%) percentage were lower than Wes's.
Step-by-step explanation: The best way to find out who shot the best is by first changing the denominator of the fraction to 25. This way, we can compare easily.
Landon:
36/100=9/25=36%
Wes:
2/5=10/25=40%
Tim:
32%
Hope this helped! ;)
Gina Reed sells food storage container sets. She earns a 12 percent commission on her first $350 worth of sales, 25 percent on the next $650 in sales, and 35 percent on all sales exceeding $1,000. This month Christy sold $1,495.00 worth of food storage container sets. What is Gina's total graduated commission?
Answers
Answer:
Total commission= $377.75
Step-by-step explanation:
Giving the following information:
She earns a 12 percent commission on her first $350 worth of sales, 25 percent on the next $650 in sales, and 35 percent on all sales exceeding $1,000.
First, we need to determine the total commission formula:
Total comission= x*0.12 + y*0.25 + w*0.35
x= sales up to $350
y= sales from $351 up to $1,000
w= sales from $1,001 to infinity
Now, for $1,495
Total commission= 350*0.12 + 650*0.25 + 495*0.35
Total commission= $377.75
Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
On a coordinate plane, the point (0, 3) is graphed.
On a coordinate plane, the point (0, 4) is graphed.
On a coordinate plane, the point (3, 0) is graphed.
On a coordinate plane, the point (4, 0) is graphed.
Answers
The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.
What is an ordered pair?The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.
Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.
Given, Ramon is graphing the function f(x) = 3 + (4)x.
We know the initial value of a function is determined when the independent variable is set to zero.
Here the independent variable is 'x'.
Now, at x = 0,
f(0) = 3 + (4)(0).
f(0) = 3.
So, The ordered pair is (0, 3).
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Answer:
a
Step-by-step explanation:
Determine the lateral surface area and the total surface for the pyramid. Round your answer to the nearest whole number.
Separate your answers with a comma.
Answers
Answer:
\(L = 704\)
\(S = 832\)
Step-by-step explanation:
Given
\(H = 22\) --- Height
\(W = 8\) --- Width
\(L=8\) ---- Length
Solving (a): The lateral surface area (L)
This is calculated as:
\(L = 2 * (L + W) * H\)
This gives:
\(L = 2 * (8 + 8) * 22\)
\(L = 2 * 16 * 22\)
\(L = 704\)
Solving (b): The total surface area (T)
This is calculated as:
\(S = 2 * (LW + WH + LH)\)
This gives:
\(S = 2 * (8*8 + 8*22+ 8*22)\)
\(S = 2 * (64 + 176+ 176)\)
\(S = 2 * 416\)
\(S = 832\)
I'll send a pic ! I need a rlly fast response !!
Answers
The expression given is:
\((3^3\cdot3^{-1})^{-2}\)One property of exponents that we know is:
\(a^xa^y=a^{x+y}\)We use this property shown above to simplify the expression:
\(\begin{gathered} (3^3\cdot3^{-1})^{-2} \\ =(3^{3-1})^{-2} \\ =(3^2)^{-2} \end{gathered}\)Now, we use the power property of exponents, which is:
\((a^b)^c=a^{bc}\)to simplify our expression, fully:
\(\begin{gathered} (3^2)^{-2} \\ =3^{2\times-2} \\ =3^{-4} \end{gathered}\)Using the property:
\(a^{-n}=\frac{1}{a^n}\)we can write the answer as:
\(3^{-4}=\frac{1}{3^4}=\frac{1}{81}\)From the choices, given, we can say:
• 2nd choice is correct
,• 3rd choice is correct
\(3^{-11}\cdot3^7=3^{-11+7}=3^{-4}\)During the winter, you charge people $15 for going to their house to shovel, then $11 for every hour you shovel. If you shovel 3 driveways in one day and make $89 that day, how many hours did you spend shoveling?
Answers
Answer:
4
Step-by-step explanation:
15x3=45
89-45=44
11x4=44
Answer:
Spent 4 hours shoveling
Step-by-step explanation:
15 x 3 = 45
89 - 45 = 44
44 / 11 = 4
I hope this helps you :)
what is one halve times four times five
Answers
Answer:
10
Step-by-step explanation:
Help please? Does anyone understand this?
Answers
Answer:
15
Step-by-step explanation:
TU is parallel to IJ. So ∠I and ∠T are corresponding angles, and ∠U and ∠J are corresponding angles.
By AA similarity, ΔHTU and ΔHIJ are similar.
Write a proportion:
HT / HI = HU / HJ
Plug in values:
4 / 10 = x / (x + 9)
Cross multiply:
4 (x + 9) = 10x
4x + 36 = 10x
36 = 6x
x = 6
So HU = 6, and HJ = 6 + 9 = 15.
Write the number three-hundred-sixty-five-thousandths in standard form.
Answers
Answer:
365/1,000 or .365
Step-by-step explanation:
HTH :)
Three hundred sixty five thousand in standard form is 365000.
What is standard form and word form of numbers ?The standard form of numbers is when we have to write the number in digits according to it's place and face value.
Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.
According to the given question we have to write three thousand sixty five thousand in standard form.
We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.
Given we have to write three hundred sixty five thousand in standard form which is 365000.
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kwan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 4 sugar cookies and 7 oatmeal raisin cookies. what is the probability that kwan randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie?
Answers
The probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie is 12 / 22C2.
The probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie can be calculated by dividing the number of ways to select two sugar cookies by the total number of ways to select any two cookies.
Step-by-step explanation:
1. Determine the number of ways to select two sugar cookies: There are 4 sugar cookies in the bag, so the number of ways to select the first sugar cookie is 4. After eating the first sugar cookie, there are 3 sugar cookies left, so the number of ways to select the second sugar cookie is 3. Therefore, there are 4 * 3 = 12 ways to select two sugar cookies.
2. Determine the total number of ways to select any two cookies: There are a total of 6 + 5 + 4 + 7 = 22 cookies in the bag. So, the number of ways to select any two cookies is calculated by choosing 2 cookies out of 22, which is denoted as 22C2.
3. Calculate the probability: To find the probability, divide the number of ways to select two sugar cookies by the total number of ways to select any two cookies.
Probability = (Number of ways to select two sugar cookies) / (Total number of ways to select any two cookies)
Probability = 12 / 22C2
So, the probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie is 12 / 22C2.
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What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2
Answers
Step-by-step explanation:
the arithmetic mean are 14
What is the slope of the line passing through the points (1,-5) and (4, 1)?
0-1/
O-2
O54
02
Answers
The slope of the line passing through the points (1,-5) and (4,1) is 2
The slope of any two points can be found using the point-slope
equation which is:
=> y₂-y₁ = m(x₂-x₁)
where (x₁, y₁) and (x₂, y₂) are two points having the value (1,-5) and (4,1) respectively and
m is the slope of those two points
To find the slope we need to rearrange the point-slope equation,
m = (y₂ - y₁)/(x₂-x₁)
m = 1 - (-5) / 4 -1
m = 1 + 5 / 3
m = 6/3
m = 2
Hence, the slope of the line passing through two points (1,-5) and (4,1) is m = 2
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Which graph represents a system of linear equations that has multiple common coordinate pairs?
sorry if the image is blurry
Answers
Answer:
Step-by-step explanation:
The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!
sorry if im wrong...
What is the value of the expression below when x=5x=5?
8x+9
Answers
The value of the expression below when x=5x=5?
8x+9 is equal to \(7^{2}\) (or) 49.
Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)
The expression,
y = 8x + 9
If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:
So, we can substitute x = 5,
Then, y = 8 * 5 + 9
Calculate the product or quotient,
y = 40 + 9
Calculate the sum or difference,
y = 49
We can write alternative form,
y = \(7^{2}\)
Therefore,
Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.
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What is the value of x?
60"
95
A. 250
B. 350
C. 60°
D. 1550
PREVIOUS
Answers
Answer:
it's B ==35
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A because u know its not 60 bc its already there and 35 would be to big also it cant be 155 bc that is way to big for that angle