f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))
Answer:
f(g(x))=6x-8
Step-by-step explanation:
To keep it simple lets say if , for example
[tex]f(x)=2x-4[/tex]
then f(2) would be what?
[tex]f(2)=2(2)-4\\f(2)=0[/tex]
which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you
[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]
now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).
[tex]f(g(x))=-2(-3x+2)-4[/tex]
[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]
so that is our final answer.
Hope i helped
What is the distance from the origin to point P graphed on the complex plane below?
The homoskedasticity-only F-statistic and the heteroskedasticity-robust F-statistic typically are:
Answer:
The homoskedasticity-only F-statistic and the heteroskedasticity-robust F-statistic typically are different.
Step-by-step explanation:
An F statistic is a value derived by running an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.
The homoskedasticity-only” F-statistic is derived by running two regressions, one under the null hypothesis and one under the alternative hypothesis. If the “unrestricted” model fits sufficiently better, reject the null.
In the first regression, the restricted regression (the null hypothesis) is forced to be true. This is the regression in which all the coefficients are set to zero; the relevant regressors are excluded from the regression. In the second regression, the unrestricted regression, the alternative hypothesis is allowed to be true. If the sum of squared residuals is sufficiently smaller in the unrestricted than the restricted regression, then the test rejects the null hypothesis
The heteroskedasticity-robust F-statistic is built in to STATA (“test” command); this tests all q restrictions at once.
The homoskedasticity-only F-statistic is important historically (and also in practice), and can help intuition, but isn’t valid when there is heteroskedasticity
You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?
Answer:
a) The store which provides the lowest total costs is:
True Builders
b) The cost without sales tax is:
$407.48
Step-by-step explanation:
Data and Calculations:
Product Quantity True Builders Quality Suppliers
Price Costs Price Costs
Bricks 120 $2.20 $264.00 $2.25 $270.00
2 x 4 boards 40 ft $0.75 30.00 $0.70 28.00
1 x 6 boards 120 ft $0.60 72.00 $0.65 78.00
2 x 6 boards 30 ft $0.80 24.00 $0.80 24.00
Paint 2 gal. $15.50 31.00 $11.25 22.50
Paint Brushes 2 $7.50 15.00 $9.75 19.50
Total costs $436.00 $442.00
Imputed Sales Tax of 7% 28.52 28.92
Without Sales Tax $407.48 $413.08
Answer:
Quality Supplies 442.00
Step-by-step explanation:
Lucy, charlie, and Michael have a total of $95 in their wallet. Charlie has $10 more than lucy. Michael has 3 times what Lucy has. How much does each have?
(-7, 13); slope = -2 Write the equation of the line in slope-intercept form with the given point and slope or two points.
Answer:
y=-2x-1
Step-by-step explanation:
13=-2*-7+b
13=14=b
-1=B
The equation of the line in the slope-intercept form will be 2x+y+1=0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
The coordinate of the points are (x,y) = (-7, 13)
Slope, m = -2
The standard equation of a line is,
y = mx+c
Substitute the given coordinate value in order to find the intercept value as
13=-2×-7+c
13-14=c
-1=c
Put the values in the standard equation,
y = mx+c
y=-2x-1
Thus, the equation of the line in the slope-intercept form will be 2x+y+1=0.
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- 1 1/5 as improper fraction
The given - 1 1/5 expressed as improper fraction can be written as - [tex]\frac{6}{5}[/tex]
An improper fraction can be regarded as fraction whereby, the numerator is greater compare to the denominator.The numerator can regarded as the number that is on top, The denominator can regarded as the number that is at down.we were given [tex]\frac{1}{5}[/tex]-1 /5 so to express this as improper fraction, we multiply the whole number with the denominator then add to the numerator then we have
[tex]\frac{-6}{5}[/tex]-
Therefore, the improper fraction of the given figure is [tex]\frac{-6}{5}[/tex]
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The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2
Step-by-step explanation:
Hey there!
The given points are; (2,2) and (5,y).
Slope (m) =2
Using formula for slope, we get;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]2 = \frac{y - 2}{5 - 2} [/tex]
Simplify it to get value of"y".
[tex]2 = \frac{y - 2}{3} [/tex]
[tex]6 = y - 2[/tex]
[tex]y = 6 + 2[/tex]
Therefore, y= 8.
Hope it helps...
which integer represents 19°F bellow
Draw out a vertical number line. Positive values are above 0, and negative values are below zero.
g The company charges a flat fee of $20 plus $0.48 for every mile the car is driven. Find the cost c c of renting a car from Rent-A-Wreck for a day when x x number of miles are driven.
Answer:
The cost for day when x miles are driven is
C = 0.48x + 20
Step-by-step explanation:
Firstly, we shall need to write an equation that represents the rent age
Let C be the cost and m is the number of miles driven
C = 20 + 0.48m
So given that x miles are driven, then m = x
This implies = 20 + 0.48x
A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice?
Is the answer x=6????
Answer:
x=12
Step-by-step explanation:
5x-2 = 58
5x = 60
x = 12
write equivalent fractions for 3 2/3 and 1 4/5 using 15 as the common denominator
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
The required equivalent fractions for 3 10/15 and 1 12/15.
Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15
Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15
Thus, the required equivalent fractions for 3 10/15 and 1 12/15.
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The listed occupations of stockholders of a national computer company included 9% who were housewives. If six of these stockholders are randomly selected, what is the probability that none are housewives?
Answer:
no se la respuesta
Step-by-step explanation:
no se la respuesta
The probability that none of the six selected stockholders are housewives is,
⇒ 56.8%
The term probability refers to the likelihood of an event occurring. Probability means possibility.
The probability of an event occurring can be calculated by subtracting the probability of the event not occurring from 1.
Given that,
The listed occupations of stockholders of a national computer company included 9% who were housewives.
Since 9% of the stockholders are housewives.
Hence, the probability that a randomly selected stockholder is not a housewife is,
= [tex]1 - 9%[/tex]%
= [tex]1 - 0.09[/tex]
= [tex]0.91[/tex]
So, The probability that none of the six selected stockholders are housewives is,
⇒ [tex](0.91)^6[/tex]
⇒ [tex]0.5678[/tex]
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I just need some one to explain how to do it ,
Answer:
f(x) = (x^2-16) / (x+3)
f(x) has no horizontal asymptote.
Vertical assymptote is x = -3
Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.
the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.
the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1
the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line
Step-by-step explanation:
Hope this helps! brainliest please
guys what is 265 divided by 53
Answer:
5
Step-by-step explanation:
265/53= 5
Answer:
265÷53=5
Step-by-step explanation:
just get a calculator
Can anyone solve this for me. Thanks
Answer:
y=-1/3x+3
Step-by-step explanation:
The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?
Answer:
9 degrees farenehit
Step-by-step explanation:
=====================================================
Explanation:
x = number of hours since 2 AM
y = temperature in degrees Fahrenheit
The starting temperature is -15 degrees, so the y intercept is b = -15.
The temperature goes up 3 degrees each hour, so the slope is m = 3
The equation is y = 3x-15
Now plug in x = 4 since 6 AM is four hours after 2 AM.
We get the following
y = 3x-15
y = 3*4-15
y = 12-15
y = -3
The temperature at 6 AM is -3 degrees Fahrenheit.
-------------------------
Check:
Start at -15 and add 3 for each hour
It might help to make a number line.
2 AM = -15 degrees
3 AM = -12 degrees
4 AM = -9 degrees
5 AM = -6 degrees
6 AM = -3 degrees
This confirms the answer.
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
Answer:
Step-by-step explanation:
Actually its
Andy spends $ 13.20
Emily will spend 23.40
HOPE IT HELPS!!!!!!!!!!
For each of these intervals, list all its elements or explain 2.1 Sets 131 why it is empty. a) [a,a] c) (a, a] e) (a,b), where a > b b) [a,a) d) (a, a) f) [a,b],wherea>b
Answer: b
Step-by-step explanation:
On a cold morning, the temperature at 7AM is -10 degrees F and rises two degrees per hour. What will the temperature be at noon?
Answer:
Equation:
Hours after 7AM (x) 0, 1, 2
Temp in F (y) -10, -8, -6
Use these for your coordinates
Answer the question, provide the equation, fill in the table and create the graph.
Answer:
it would be 60 degrees at noon
Step-by-step explanation:
What’s the y intercept
Answer:
y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Evaluate the expression when b= 2.
12 - b =
Answer:
Well, if b = 2, then 12 - b = 10
Step-by-step explanation:
hope this helps, lol! <3
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. When each data class has the same frequency, the distribution is symmetric. Choose the correct answer below.
a. The statement is true.
b. The statement is false. When each data class has the same frequency, the distribution is bimodal.
c. The statement is false. When each data class has the same frequency, the distribution is skewed left.
d. The statement is false. When each data class has the same frequency, the distribution is skewed right.
Answer:
A; the statement is true
Step-by-step explanation:
In this question, we are to select which of the options is correct according to the initial statement.
The statement is true.
If the data classes have same frequency, then the distribution is said to be symmetrical in nature.
What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.
Check the statements that are true.
A. An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.
B. A geometric sequence is a linear function whose domain is restricted to the set of non-negative integers.
C. An arithmetic sequence is an exponential function whose domain is restricted to the set of non-negative integers.
D. A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers.
Answer:
A and D.
Step-by-step explanation:
A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}
(A)
"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."
The general form an arithmetic sequence is:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.
So, the statement provided is True.
(D)
"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."
The general form an geometric sequence is:
[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]
The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.
So, the statement provided is True.
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
How do you describe a quadratic equation?
Answer:
an equation of the second degree, meaning it contains at least one term that is squared.
Step-by-step explanation:
A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
Determine if the transformation of figure a to figure b is a dilation
Helpp thanksssss........
Answer:
4/10
Step-by-step explanation:
4/5 ÷ 2/1
4/5 * 1/2
2/5 or 4/10
12 apples to 8 oranges