The value of the function (f /g)(x) would be \((\frac{f}{g})(x)=x^2+6\).
Option (A) is correct.
What are composite functions?
A composite function is generally a function that is written inside another function. The composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.'
Given:
\(f(x)=7x^3-5x^2+42x-30\\\\g(x)=7x-5\)
Now by using the definition of composite functions we can write
\((\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(x)=\frac{7x^3-5x^2+42x-30}{7x-5}\\\\(\frac{f}{g})(x)=x^2+\frac{42x-30}{7x-5}\\\\(\frac{f}{g})(x)=x^2+6\)
Hence, the value of the function (f - g)(x) would be \((\frac{f}{g})(x)=x^2+6\).
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30. A model train is 4 inches long. If the
scale factor is 1 in : 48 it, what is the
actual length of the train?
F 192 feet
H 12 nches
G 12 feet
s 192 inches
The fraction 7 8 is really close to 1 , so Yvonne could estimate that she needs approximately yards of fabric per dress. So, to make 5 dresses she would need approximately yards of fabric.
Answer: She can round 4 7/8 as 5 yards of material. and since she's making three, multiply 5 yards by 3 dresses. that equals 15 yards of material needed.
Step-by-step explanation:
shocks occur to a system according to a poisson process of intensity lambda. each shocks causes some damage. what type of process could model the damage up to time t? assume the system continues to operate as long as the total damage is strictly less than some critical value and fails otherwise.
If the total damage remains strictly below the critical value, the system will continue to operate. Otherwise, the system will fail.
A suitable process to model the damage up to time t caused by shocks in a system following a Poisson process of intensity lambda would be a Compound Poisson Process.
A Compound Poisson Process is a stochastic process that models the cumulative effect of multiple independent and identically distributed random events. In this case, the events are the shocks, and the effect is the damage caused by each shock. The process is defined as the sum of the damages up to time t, where the number of shocks follows a Poisson process with intensity lambda, and the damage caused by each shock is a random variable with a known distribution.This process is suitable for modeling the system's damage because it accounts for the random nature of both the number of shocks and the damage caused by each shock. It can also help assess the probability of system failure at any given time.To evaluate the risk of failure, one can compare the total damage from the Compound Poisson Process with the critical value. By analyzing the behavior of the Compound Poisson Process, you can make informed decisions on system maintenance, risk mitigation, and overall system reliability.Know more about the critical value
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Please help me I need it please
Answer:
42.6%
Step-by-step explanation:
The percent increase is calculated as
percent increase = \(\frac{increase}{original}\) × 100%
increase = $3.55 - $2.49 = $1.06
% increase = \(\frac{1.06}{2.49}\) × 100% ≈ 42.6% (to the nearest tenth )
3. The line segment below is a reflection over which line?O y-axisO y =xO y = -xO x-axis
Remember that
The rule of a reflection over the line y=-x is equal to
(x,y) ------> (
7. IfQ, and Q2 are orthogonal 1 X matrices, show that the product QO2 is orthogonal.
The product of the two matrices Q₁Q₂ is orthogonal
What i orthogonal matrix?In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. ... {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where QT is the transpose of Q and I is the identity matrix.
It is said to be an orthogonal matrix if its transpose is equal to its inverse matrix, or when the product of a square matrix and its transpose gives an identity matrix of the same order.
If A is an n*n orthogonal matric, then A*A¹ = A¹*A
Therefore A*A¹ = A¹*A = 1
This implies that the product Q₁O₂ is orthogonal.
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4√6 • √6 = ?
I know this, my brain is just being a turd, someone help please-
Answer:
This is very simple . you can easily understand. hope it helps.
EXTRA POINTS AND BRAINIEST IF CORRECT!! Someone Please help me with this.
ABCD ~ QRST
Find the missing length, m.
Answer:
m = 4
Step-by-step explanation:
We have similar trapezoids, so corresponding angles must be congruent, and the ratios of pairs of corresponding sides must be equal. For both of these to be true, we need to find the ratio of pairs of corresponding sides:
13 / 5.2 = 2.5, 12 / 4.8 = 2.5, 22.5/9 = 2.5,
15 / 6 = 2.5
So
\( \frac{10}{m} = 2.5\)
\(m = 4\)
Find the surface area of the cone. Round your answer to the nearest tenth.
BRAIN>LY GIVING
Answer:
75.4
Step-by-step explanation:
Answer:
S.A = 65.94
Step-by-step explanation:
S.A = \(\pi r^{2} + \pi rl\)
3.14 x 3 x 3 = 28.26
3.14 x 3 x 4 = 37.68
37.68 + 28.26 = 65.94
Let me know if this helps!
Help plz and thankssss!!!!
Answer: 59
Step-by-step explanation: cus im cool like that
33. (Figure 9-2: Shrimp Market) If the government imposes a quota limiting sales of shrimp to 500
pounds, the quota rent per pound is:
A) $0
B) $10.
C) $5.
D) $20
If the average of x and y is 11 and the average of x, and y z is 5 what is the value of z
If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Given,
The average of x and y = 11
We know average = Sum of the terms / Number of terms
Then, the equation will become
\(\frac{x+y}{2}=11\)
x+y =11×2
x+y =22
Average of x, y and z = 5
\(\frac{x+y+z}{3}=5\)
x+y+z = 5×3
x+y+z =15
Substitute the value of x+y
22+z=15
z =15-22
x = -7
Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
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in 1992, there were 285 alligators in orange county, florida. the number of alligators increased by 75% per year after 1992. how many alligators were there in orange county, florida in 2001? math problem
As the Percentage decreased, The Number of alligators in 2001 = 438972
What is the Percentage decrease?
A variable's value loss can be measured using the percentage decline formula. The variable might be anything from profit to population to cost. For a better understanding of the idea, the formula for percentage drop is provided below along with solved instances.
∴ Percent Decrease = (Decreased Value / Original Value) × 100
Number of alligators in 1992 = 285
Percentage of increase every year = 75%
Every year 75 increased per 100
2001 - 1992 = 9 years
Step: 3
So the population in 2001, as the percentage decreased, is:
\(\begin{aligned}&=285 \times\left(\frac{175}{100}\right)^9 \\&=285 \times\left(\frac{7}{4}\right)^9\end{aligned}\)
= 43871.986
Number of alligators in 2001 = 438972
Hence, The Number of alligators in 2001 = 438972
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Describe how to evaluate the expression 5v - \(\sqrt{4x}\) for v = 2 and w = 9
idrk sorry I'm horrible at mathhh
State whether each function is in standard form.
a. 3x+y=8
b. x - y= 152
C+y=11
d. 3xy + y2=4
e. x + 4y = 12
f. 5x + 24y = 544
Answer:
b
Step-by-step explanation:
balls
PLAYGROUND There are 87 children at a playground. There are 23 more boys than girls. How many of each are at the playground?
Answer:
G=32 B=55
Step-by-step explanation:
55+32=87
I know this answer is right bc I got it right on my ws.
156.52-??=56.29
pls answer needed for my exam tomorrow
156.52 - x = 56.29
just flip x with 56.29
156.52 - 56.29 = x
x = 100.23
Answer: 212.81
Step-by-step explanation: You would, in this case, carry the 156.52 across the equal sign and then swap out the subtraction sign with an addition sign. You would then flip the equation around so it would like this: 156.52+56.29=??. All you would have to do now, is add the numbers and you have you answer. Good luck on your test!
Correction: Keep the subtraction sign and then you should get your answer.
So it would look like this: 156.52-56.29=??
Answer=100
Thanks to someone who corrected me
If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?
Answer:
$261.80 Net pay
Step-by-step explanation:
340 x 0.23 = $78.20 in taxes
$340 - $78.20 = $261.80 Net pay
Answer:
$261.8 Is how much you take home.
Step-by-step explanation:
(* is multiply)
In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5
23% of 340 is 78.2 ( 340 * 0.23)
Subtract 340 by 78.2, and you get your net pay, 261.8
Another way to do this is subtract 100% by 23%.
so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep
so 340 * 0.77 = 261.8
Describe the error in finding the measure of one exterior angle of a regular polygon.
The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.
The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.
The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.
For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.
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The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.
Given that,
There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.
Here, at each vertex there are two angles.
So, there must be 5 vertices and 5 sides.
Then, the measure of one exterior angle = 360°/5
= 72°
Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.
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"Your question is incomplete, probably the complete question/missing part is:"
Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.
Let x represent the number of $0.75 price decreases. Write a function P(x) (f⋅p)(x) to represent the price of a ticket. Enter only the expression for P(x) in the blank (no equal sign). Do not use spaces between numbers, operations, or variables.
Find expressions for the possible dimensions of the rectangular prism.
V = 12y3 + 13y2 + 3y
Answer:
Step-by-step explanation:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Answer:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Step-by-step explanation:
it's this write ... comments plz have a nice day
Please help!!!!!!!!! ASAP
Answer:
1: Line symmetry. (You can fold the shape in half and the lines match up exactly to be the exact same shape)
Please help me ASAP!! Thank you!!
Answer:
2x+y < 7
Step-by-step explanation:
We are below the line which means less than ( since the line is dotted)
We need to determine the equation for the line
The y intercept is 7 and the slope is
( 0,7) and (2,3)
m = ( 3-7)/( 2-0) = -4/2 = -2
In slope intercept form ( y=mx+b)
y = -2x+7
Changing this to an inequality
y < -2x+7
Add 2x to each side
2x+y < 7
One planet holds 14 Tomato seedlings. If you have 1,113 seedlings, how many containers do you need to hold all seedlings?
Answer:
If your talking about the containers, then you would need 80
containers, hope this helps.
Step-by-step explanation:
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal
distance from the y-axis to the same point. What is sino?
1/5 Sqrt5/5 2 sqrt5/5 2
Answer:
1/5
Step-by-step explanation:
Need this ASAP PLEASEE
Answer: The product of (abc) is (-2/3)(1/3)(-1) = 2/9.
−3x−8y=−8 y=2−x Is (0,1)(0,1)left parenthesis, 0, comma, 1, right parenthesis a solution of the system?
Answer:
(0,1) is not the solution to the equation
Step-by-step explanation:
Given:
−3x − 8y = −8 (1)
y = 2 − x (2)
Substitute (2) into (1)
−3x − 8y = −8 (1)
- 3x - 8(2 - x) = -8
- 3x - 16 + 8x = -8
- 3x + 8x = -8 + 16
5x = 8
x = 8/5
Substitute x = 8/5 into (2)
y = 2 − x (2)
= 2 - 8/5
= (10-8) / 5
= 2/5
y = 2/5
Solution to the equation:
(x, y) = (8/5, 2/5)
Therefore,
(0,1) is not the solution to the equation
if we are testing h0:σ12=σ22 against h1:σ12≠σ22 and we develop a 1-α percent ci on σ12σ22, what number would be in the ci if we failed to reject h0?
If the CI includes the value 1, we cannot reject the null hypothesis
If we are testing the null hypothesis H0: σ1² = σ2² against the alternative hypothesis H1: σ1² ≠ σ2² and we develop a 1-α percent confidence interval (CI) on σ1²/σ2², the number that would be in the CI if we failed to reject H0 would be 1.
This is because, under the null hypothesis, the ratio of the variances σ1²/σ2² equals 1 (since σ1² = σ2²).
So, if the CI includes the value 1, we cannot reject the null hypothesis.
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Kuta Software Infinite Algebra 1. Solving Systems of Equations by Substitution. Solve each system by substitution. 1) y=6x-11. -2x-3y=-7. -2x-3(60x-11)=-7
the solution to the system of equations is x = 2 and y = 1.
To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.
Given the system of equations:
1) y = 6x - 11
2) -2x - 3y = -7
Step 1: Solve equation (1) for y.
y = 6x - 11
Step 2: Substitute the value of y from equation (1) into equation (2).
-2x - 3(6x - 11) = -7
Step 3: Simplify and solve for x.
-2x - 18x + 33 = -7
-20x + 33 = -7
-20x = -7 - 33
-20x = -40
x = (-40)/(-20)
x = 2
Step 4: Substitute the value of x into equation (1) to find y.
y = 6(2) - 11
y = 12 - 11
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.
Explanation:To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.
Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.
Therefore, the solution to the system of equations is x = 2 and y = 1.
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pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6