Answers
Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
Related Questions
Please help I’m in argent need for answer this is due in 1 hour and I still have 20 pages after this please someone
Answers
Answer:
1.
a. 4 less than 3 times a number
2.
d. 2 more than the opposite of 2 times a number
3.
d. n+2
4.
a. 6x + 2=14
Step-by-step explanation:
What is the value of the expression below when y = 8
8y - 4
Answers
8y - 4, would be 8 (8) - 4,
which would be 64 - 4 = 60
The answer is: 60
Answer:
60
Step-by-step explanation:
y=8
8(8)-4
64-4
60
A large tree casts a shadow of 42 m. At the same time, a 4 m high fence, standing vertically, casts a shadow of 7 m. Find h, the height of
the tree.
Answers
Answer:
73.5m
Step-by-step explanation:
4m fence casted a 7m high shadow 7/4 = 1.75, 42 x 1.75 = 73.5
which equation in slope intercept passes form through (2, -2) and (-3, -17)
Answers
Answer:
Step-by-step explanation:
hjbiuygyugflyuylgfiygiugukjkjkj
Can someone help with this? (:
Answers
[tex] - 30[/tex]
Step-by-step explanation:
[tex]x = 10[/tex]
[tex]20 - 5x[/tex]
[tex] = 20 - 5 \: . \: 10[/tex]
[tex] = 20 - 50[/tex]
[tex] = - 30[/tex]
What is the difference between -10 and five on a number line
Answers
Answer:
-5
Step-by-step explanation:
the answer, please give brainliest if u can
Find the area under the normal curve up to z=0.36; that is, find P(Z≤0.36) give your answer as a probabilay rounded to two decimal places, so in the format 0.XX.
Answers
The area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. To find the value of P(Z ≤ 0.36), the standard normal distribution table is used. We can find the value by looking up the closest z-value on the standard normal distribution table.
The value of 0.36 is not exactly found in the table, however, the closest value to it is 0.35. Using the standard normal distribution table, the area to the left of z = 0.35 is 0.6368. Since we need to find P(Z ≤ 0.36), this area needs to be added to the area from 0.36 to 0.35, which is 0.0032. Adding the two values will give us the answer: 0.6368 + 0.0032 = 0.64.Therefore, the area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. In order to find the area under the normal curve up to z = 0.36, we need to find the value of P(Z ≤ 0.36), which is the probability of a standard normal variable taking a value less than or equal to 0.36. To find this probability, we use the standard normal distribution table, which provides the area to the left of a given z-value.The standard normal distribution table is usually presented in the form of a table that gives the area to the left of a given z-value. For example, if we want to find the area to the left of z = 1.96, we look up the value 1.9 in the first column and the value 0.06 in the second column. We then add these two values to get the area to the left of z = 1.96, which is 0.9750. Similarly, we can find the area to the left of any other z-value by using the standard normal distribution table.To find the area under the normal curve up to z = 0.36, we first need to find the closest value to 0.36 in the standard normal distribution table. In this case, the closest value is 0.35. We then look up the area to the left of z = 0.35 in the standard normal distribution table, which is 0.6368. Since we need to find the area to the left of z = 0.36, we need to add the area from 0.35 to 0.36, which is 0.0032. Adding these two values gives us the area under the normal curve up to z = 0.36, which is 0.6368 + 0.0032 = 0.64.
The area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. This means that the probability of a standard normal variable taking a value less than or equal to 0.36 is 0.64. To find this probability, we used the standard normal distribution table, which provides the area to the left of a given z-value. We found the area to the left of z = 0.35, which is the closest value to 0.36 in the standard normal distribution table. We then added the area from 0.35 to 0.36 to get the area under the normal curve up to z = 0.36, which is 0.64.
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In PC Tech’s product mix problem, assume there is another PC model, the VXP, that the company can produce in addition to Basics and XPs. Each VXP requires eight hours for assembling, three hours for testing, $275 for component parts, and sells for $560. At most 50 VXPs can be sold.
a. Modify the spreadsheet model to include this new product, and use Solver to find the optimal product mix.
b. You should find that the optimal solution is not integer-valued. If you round the values in the changing cells to the nearest integers, is the resulting solution still feasible? If not, how might you obtain a feasible solution that is at least close to optimal?
Answers
To modify the spreadsheet model and find the optimal product mix considering the new VXP product, you would need to make the following changes: Update the spreadsheet to include a new row for the VXP product, with columns for assembling time, testing time, component cost, selling price, and maximum sales quantity.
To obtain a feasible solution that is close to optimal, you can try different approaches: Relax the integer constraints, Implement a rounding or adjustment strategy, Analyze the sensitivity of the solution.
Adjust the constraints to account for the maximum sales quantity of 50 VXPs.
Update the objective function to include the contribution of the VXP product sales.
Once you have made these modifications, you can use Solver to find the optimal product mix. However, it's important to note that the optimal solution may not result in integer values for the product quantities. If the optimal solution is not integer-valued, rounding the values in the changing cells to the nearest integers may result in an infeasible solution.
To obtain a feasible solution that is close to optimal, you can try different approaches: Relax the integer constraints, Implement a rounding or adjustment strategy, Analyze the sensitivity of the solution.
Relax the integer constraints: Allow non-integer values for the product quantities and see if the resulting solution is feasible and close to the optimal solution. This may be acceptable depending on the context and specific requirements of the problem.
Implement a rounding or adjustment strategy: Instead of rounding to the nearest integer, you can try rounding up or down or applying specific adjustment rules to the non-integer values. This can help ensure feasibility while still getting a solution close to the optimal.
Analyze the sensitivity of the solution: Check the sensitivity of the objective function to changes in the product quantities. If the solution is not sensitive to small changes in the quantities, you can manually adjust the quantities to obtain a feasible solution that is close to the optimal.
Ultimately, the approach to obtain a feasible solution that is close to optimal will depend on the specific requirements and constraints of the problem, as well as the acceptable trade-offs between optimality and feasibility.
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1. (5x² - 6x +2)+(9x + 10x - 7) -
what is the answer?
Answers
Answer:
Step-by-step explanation:
the way it is written, the answer is
5x^2 - 6x + 2 + 19x - 7
5x^2 + 13x - 5 is the answer.
However I suspect you mean
5x^2 - 6x + 2 + 9x^2 + 10x - 7
14x^2 + 3x - 5 is the answer if the revision I've made is correct.
Is 1 5/8 greater than, less than, or equal to 1.6?
Answers
Answer:
[tex]1 \frac{5}{8} > 1.6[/tex]
Step-by-step explanation:
[tex]1 \frac{5}{8} \: ... \: 1.6[/tex]
[tex] \frac{1 \times 8 + 5}{8} \: ... \: 1.6[/tex]
[tex] \frac{8 + 5}{8} \: ... \: 1.6[/tex]
[tex] \frac{13}{8} \: ... \: 1.6[/tex]
[tex] \frac{13}{8} \: ... \: \frac{16}{10} [/tex]
[tex] \frac{13 \times 5}{8 \times 5} \: ... \: \frac{16 \times 4}{10 \times 4} [/tex]
[tex] \frac{65}{40} \: ... \: \frac{64}{40} [/tex]
[tex] \frac{65}{40} > \frac{64}{40} [/tex]
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We can conclude that 1.625 is greater than 1.6 (1.625 > 1.6).
What do we mean by greater and less than?To compare numbers and expressions, use the greater than and less than symbols. The sign for more than is >. In other words, 9>7 means "9 is bigger than 7." The symbol for less than is. The comparative terms "greater than" and "equal to" are two more (less than or equal to). Imagine the larger than and less than signs as little alligators (or crocodiles), with the numbers on either side standing in for a number of fish, to help you remember them. Whatever number the alligator's mouth is open toward is the larger number because it always prefers to devour more fish.So, to know that if 1⅝ > 1.6, calculate as follows:
1⅝8+5/813/81.625Then: 1.625 > 1.6
Therefore, we can conclude that 1.625 is greater than 1.6 (1.625 > 1.6).
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Write y-2=1/2(x+1) in slope intercept form
Answers
Answer:
m=1/2
Step-by-step explanation:
Given the points A( 7, 15) and B(5,9) find the midpoint of Segment AB. *
Answers
Answer: (6,12)
Steps: The midpoint of (7, 15) and (5,9) is (6,12)
Plz mark brainliest:)
Sarah measured her square garden to have an area of 122 ft 2 . How long is one side of Sarah’s garden?
Answers
Answer:
30.5 ft squared
Step-by-step explanation:
First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.
If you need more help or explanation, follow up in the comments below. :PMr. Jones is driving a truck at a constant speed. The graph below shows the distance traveled, in miles, with respect to the number of
hours traveled.
Distance Traveled
250
225
200
175
150
Distance (miles)
125
100
75
50
25
0
2
8
9
10
3 4 5 6 7
Number of Hours
What does the origin represent for this graph?
OIn one hour, he travels 50 miles.
OIn zero hours, he travels zero miles.
OIn zero hours, he travels 25 miles.
OIn five hours, he travels 250 miles.
Answers
Answer:In zero hours, he travels zero miles
Step-by-step explanation:
Just did it on edmentum and it’s correct
Answer:
In zero hours, he travels zero miles.
Step-by-step explanation:
Since the y-axis represents the distance traveled, in miles, and the x-axis represents the number of hours traveled, the origin, (0,0), represents the fact that in zero hours, he travels zero miles.
9m^2-4n+12 factor out gcf
Answers
Answer: 9m^2 - 4n + 12
Step-by-step explanation:
To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, we need to find the largest common factor of all the terms.
Let's examine each term individually:
9m^2: The only common factor between 9 and m^2 is 1.
-4n: The only common factor between -4 and n is 1.
12: The factors of 12 are 1, 2, 3, 4, 6, and 12. However, there is no common factor between 12 and the other terms.
Since there is no common factor other than 1, we cannot factor out anything more significant than 1. Therefore, the factored form of the expression 9m^2 - 4n + 12 is simply the original expression itself:
To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, let's first identify the GCF of the coefficients. In this case, the GCF of 9, -4, and 12 is 1 since there is no common factor greater than 1.
Next, we'll factor out the GCF from each term:
9m^2 = (9)(m^2)
-4n = (-4)(n)
12 = (12)(1)
Now we can rewrite the expression factoring out the GCF:
9m^2 - 4n + 12 = (1)(9m^2) + (1)(-4n) + (1)(12)
Simplifying this, we get:
9m^2 - 4n + 12 = 9m^2 - 4n + 12
Since there is no common factor other than 1, the expression cannot be further factored.
(a) Find the probability that a randomly selected study participant's response was less than 4. The probability that a randomly selected study participant's response was less than 4 is 0.3563" (Round to four decimal places as needed.) (b) Find the probability that a randomly selected study participant's response was between 4 and 6. The probability that a randomly selected study participant's response was between 4 and 6 is 0.3968" (Round to four decimal places as needed.) c) Find the probability that a randomly selected study participant's response was more than 8. The probability that a randomly selected study participant's response was more than 8 is 0,0412(Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A. The event in part(e) is unusual because its probability is less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. C. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. D. None of the events are unusual because all the probabilities are greater than 0.05.
Answers
The probability of an event is less than 0.05, it is classified as an unusual event. In this case, the events in parts (a) and (b) are less likely to occur than the other events.
The probability that a randomly selected study participant's response was less than 4 is 0.3563.
The probability that a randomly selected study participant's response was between 4 and 6 is 0.3968.
The probability that a randomly selected study participant's response was more than 8 is 0.0412.
Unusual events are not considered standard events. They are classified as unusual if they occur infrequently. The probability of an event is a number between 0 and 1. If an event has a low probability of occurring, it is considered unusual.
Based on the given probabilities, the answer is (C) The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. The events are deemed unusual since they have a low probability of occurring. They are less likely to occur.
Therefore, the probability of the event in part (a) is less than 0.05. The probability of the event in part (b) is less than 0.05.
In conclusion, when the probability of an event is less than 0.05, it is classified as an unusual event. In this case, the events in parts (a) and (b) are less likely to occur than the other events.
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A rectangle that is 2 inches by 3 inches has been scaled by a factor of 4.
_____ inches by _____ inches
Suppose you want to scale the copy back to its original size. What scale factor should you use?
Answers
Answer:
2 inches by 4 inches
Step-by-step explanation:
What is the smallest number divisible by 2 and 5?
Answers
Answer:
10 is the answer
Step-by-step explanation:
Beacause 2 * 5 =10
and 5*2=10
answer
10,20,30,40,by adding 10number etc.....
what is the y intercept of the table shown?
-2
-1
0
2
Answers
Answer:
-2
Step-by-step explanation:
when x = 0 is when the line intercepts the y-axis...
so, when x = 0, y = -2
helpp will try to mark brainliest
-1=x+6-6
Answers
Answer:
x = -1
Step-by-step explanation:
-1 = x+6-6
Combine like terms
-1 = x
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
−1=x+6−6
Step 1: Simplify both sides of the equation.
−1=x+6−6
−1=x+6+−6
−1=(x)+(6+−6) (Combine Like Terms)
−1=x
−1=x
Step 2: Flip the equation.
x=−1
Which expression is equivalent to 3/256x10y?
0 4x²y
4xy?(/4xy)
16x?y? (VW)
16xy (39)
please help !
Answers
Answer:
[tex] 4 {x}^{3} {y}^{2} \sqrt[3]{4xy}[/tex]
Step-by-step explanation:
[tex] \sqrt[3]{256 {x}^{10} {y}^{7} } \\ \\ = \sqrt[3]{( {4)}^{4} {(x)}^{9} \times x \times {(y)}^{6} \times y } \\ \\ = \sqrt[3]{ {4}^{3} \times 4 \times ({x}^{3})^{3} \times x \times ({y}^{2})^{3} \times y} \\ \\ = 4 \times {x}^{3} \times {y}^{2} \sqrt[3]{4 \times x \times y} \\ \\ \huge \red{ \boxed{ = 4 {x}^{3} {y}^{2} \sqrt[3]{4xy} }}[/tex]
A theater has 10 rows of seats with 8 seats in each row. If 28 people are seated how many are empty
Answers
Answer:
Dude, this is basic math. Imma let you figure it out.
Step-by-step explanation:
10*8=x x-28=answer not that hard bub
How many solutions does the system of equations have?
4x = -12y + 16 and x + 3y = 4
a.) one
b.) two
c.) infinitely many
d.) none
Answers
You plan to invest $10,000 in two funds paying 4.5% and 5% simple interest. (There is more risk in the 5% fund.) Your goal is to obtain a total annual interest income of $480 from the investments. What is the smallest amount you can invest in the 5% fund and still meet your objective?
Answers
Answer:
$6000
Step-by-step explanation:
Given the following :
Total planned amount to invest = 10,000 in two funds:
Fund A at rates 4.5% and
Fund B at 5% simple interest
Total Annual Interest should be = 480
What is the smallest amount you can invest in the 5% fund and still meet your objective?
Let ;
Investment in fund A = principal = a at 4.5%(0.045)
Investment in fund B = principal = (10000 - a) at 5%(0.05)
Simple interest = principal * rate * time
a + (10000 - a) = 10000
(a * 0.045) + (10000 - a) * 0.05 = 480
0.045a + 500 - 0.05a = 480
-0.005a = 480 - 500
-0.005a = - 20
a = 20 / 0.005
a = 4000
4000 at 4.5%
Investment in fund B = principal = (10000 - a)
(10,000 - 4000) = 6000
Consider the following polynomial expression: 4x^5-16x^2+13x^8. Part A: Write the polynomial expression in standard form.
Answers
Answer:
13x^8 + 4x^5 - 16x^2
Step-by-step explanation:
Standard form is just rearranging each group of numbers so that the group with the most exponents on the variables is at the beginning. So it's basically least to greatest but with exponents. Hope this helped!
PLEASE HELP ME!!! WILL MARK BRAINLEST!!!
Write the inequality
The quotient of number x and 5 is greater than 12.
Answers
Answer:
its 5+x=12 but not sure.
The heights, in inches, of the 11 basketball players on a
team are shown on this stem-and-leaf plot.
Team Heights
5 3
6 99
7 3 5 6 7 8 9
8 04
Key
412 = 42 inches
Which height, in inches, is an outlier for this data?
Select one:
Answers
for height. inches. of the 11 basket
Answer:
i think is 6 99 hope this helps you
Nogan Airport has three runways. The airport dedicates two runways to serve departing flights and one
runway to serve arriving flights. If used for departure, a runway can serve 10 flights per hour; if used for
arrival, a runway can serve 15 flights per hour. The time it takes for a plane to use a runway (either to
depart or to land) is exponentially distributed.
The flight schedule in the morning is as follows. The time between two consecutive departing flights is
exactly 5 minutes. The time between two consecutive arriving requests is exponentially distributed,
with an average of 10 minutes. When an arriving flight approaches the airport, it radios the control
tower and requests permission to land. The air traffic controller responds instantly by assigning the
plane a position in queue on a first-come-first-serve basis.
(a) On average, how much time elapses between a plane’s radioing of the control tower and its eventual
completion of the entire arriving process in the morning? (1 point)
Answers
On average, it takes approximately 14 minutes for a plane to complete the entire arriving process, from radioing the control tower to landing on the runway, in the morning at Nogan Airport.
To determine the average time that elapses between a plane radioing the control tower and its completion of the entire arriving process in the morning, we need to consider the different steps involved in the process.
Radioing the control tower: The time between two consecutive arriving requests follows an exponential distribution with an average of 10 minutes. Hence, on average, it takes 10 minutes for a plane to radio the control tower after the previous plane.
Assigning position in queue: The air traffic controller assigns the plane a position in the queue on a first-come-first-serve basis, implying that there is no additional delay for this step.
Landing on the runway: Once the plane reaches the front of the queue, it lands on the runway. The time it takes for a plane to use a runway, either for landing or departing, follows an exponentially distributed process.
Since the runway dedicated to arrival can serve 15 flights per hour, the average time it takes for a plane to complete the landing process is 1/15 hour, or 4 minutes.
Considering these steps, the average time that elapses between a plane radioing the control tower and completing the entire arriving process in the morning can be calculated as follows:
Average time = Time to radio the control tower + Time to land on the runway
= 10 minutes + 4 minutes
= 14 minutes
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work for brainlee extra pointsalso
Answers
10=180
13=none
9=false,true,true,false
Simplify each algebraic expression. Drag the tiles to the correct boxes to complete the pairs.
Answers
Answer:
1. 5x-2
2. 5x+ 2
3. -5x-2
4. -5x+2
Answer:
1. 5x-2
2. 5x+ 2
3. -5x-2
4. -5x+2
