I need help with problem number 3 It’s about evaluating the composition of functions in different representations correctly
Answers
Given g(x) = 3x - 5 and h(x) = 2x - 4.
We need to find (g o h)(x).
The composition of function is as follows:
[tex]\begin{gathered} (g\circ h)(x)=g(h(x)) \\ =g(2x-4) \\ =3(2x-4)-5 \\ =6x-12-5 \\ =6x-17 \end{gathered}[/tex]Thus, the answer is 6x - 17.
Related Questions
Need help with 5 hurry I have to go somewhere in 5 minutes
Answers
Answer:
c. What is your favorite book?
Explanation:
A question is said to be biased when it is asked in such a way that it leads or skews people intentionally to a particular answer.
Looking at the given questions in the options, we can see that three of them have a particular person or thing mentioned in the question. These are examples of biased questions.
But the question, "What is your favorite book?" does not suggest a name of a particular book to the respondent which could influence their responses. This type of question is not biased.
The figure below shows a circle with center J, diameter LT, secant TO, andtangents EB and IP. Which of the angles must be right angles? Select all thatapply.
Answers
Answer:
Explanation:
The angles that are right angles are the ones that measure 90 degrees.
These are:
angles formed at L
angles formed at E
Answer:
Explanation:
The angles that are right angles are the ones that measure 90 degrees.
These are:
angles formed at L
angles formed at E
Find the value of the smaller angle. (Hint find the value of x first)
Answers
The sum of both angles must be 180°, therefore:
(2x+24) + (4x+36) = 180°
6x + 60 = 180°
6x = 120°
x = 120/6 = 20°
Then, the smaller angle is 2*20 + 24 = 64
Jason has three more than four times the amount of money Jeff has together they have $72 how much money does each person have
Answers
hello
determine the amount each of them have, let's write an equation to represent thier total amount
let x represent the amount Jason have
let y represent the amount Jeff has
now, we know that Jason has 3 more than 4 times the amount Jeff has
x = 4y + 3 .... equation 1
x + y = 72 .... equation 2
from equation 2,
make x the subject of formula
[tex]\begin{gathered} x+y=72 \\ x=72-y \end{gathered}[/tex]x = 72 - y .....equation 3
put equation 3 into equation 1
x = 4y + 3
72 - y = 4y + 3
solve for y
[tex]\begin{gathered} 72-y=4y+3 \\ \text{collect like terms} \\ 4y+y=72-3 \\ 5y=69 \\ y=\frac{69}{5} \\ y=13.8 \end{gathered}[/tex]we know y = 13.8
we can simply substitute the value into equation 2 and solve for x
[tex]\begin{gathered} x+y=72 \\ y=13.8 \\ x+13.8=72 \\ x=72-13.8 \\ x=58.2 \end{gathered}[/tex]therefore, Jason has $58.2 and Jeff has $13.8
May I please get help with this where I have tried multiple times but still cannot find the right answers for them
Answers
Given a point with coordinates (x, y), to rotate 90º counterclockwise, the rule is:
[tex](x,y)\Rightarrow(-y,x)[/tex]In thisc ase, we have the point:
[tex](2,-1)[/tex]Applying the rule:
[tex](2,-1)\Rightarrow(1,2)[/tex]x²+2x for x=-3 please hurry
Answers
Answer:
3
Step-by-step explanation:
x²+2x and x=-3
= (-3)² +2(-3)
= 9-6
=3
Given the following sequence of numbers find the recursive formula, and the appropriate sequence formula,(arithmetic or geometric) and find the next three numbers in the sequence.5, 9, 13, 17, 21,
Answers
We can say that it's an arithmetic sequence since it has a common rate of change or common difference of 4.
Arithmetic sequences are represented by the following formula:
Recursive formula:
[tex]\begin{gathered} a_n=a_{n-1}+d \\ \text{Explicit formula:} \\ a_n=a_1+(n-1)d \\ \text{The next three numbers would be: }a_6,a_7,a_8 \end{gathered}[/tex]an= nth term
a1= 1st term
n= number of terms
d= common difference
[tex]\begin{gathered} a_6=5+(6-1)\cdot4 \\ a_6=25 \\ a_7=5+(7-1)\cdot4 \\ a_7=29_{} \\ a_8=5+(8-1)\cdot4_{} \\ a_8=33 \end{gathered}[/tex]need help as soon as possible !!!!!!
Answers
The value of the variable x: 40
Angles of the polygon are :
3x = 120(2x + 10) = 90(2x + 5) = 85(2x - 15) = 65What is Polygon?An Indian blockchain scalability platform is called Polygon. It addresses Ethereum's problems with excessive costs, a subpar user experience, and a meager number of transactions per second. Creating a framework for Proof of Stake transactions is one approach taken to overcome these problems.Calculate the measure of angles as follows:
3x(2x + 10)(2x + 5)And
(2x - 15)Since we have,
Sum of angle measure = 360°
Thus: 3x + (2x + 5) + (2x + 10) + (2x - 15) = 360Opening the brackets:
3x + 2x + 5 + 2x + 10 + 2x - 15 = 360Adding the like terms:
9x + 15 - 15 = 3609x = 360x = 360/9x = 40Hence, The measure of the variable is 40.
And the angle measures are:
3 x 40 = 120°(2(40) + 5) = 80 + 5 = 85°(2(40)+ 10) = 80 + 10 = 90°(2(40) - 15) = 80 - 15 = 65°Therefore, the value of the variable x: 40
Angles of the polygon are :
3x = 120(2x + 10) = 90(2x + 5) = 85(2x - 15) = 65To learn more about Polygon click on the link
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Given below is a number written in factored form. Use this representation to determine the following. Factored Form 7.7.7.7.7.7 Enter the number in exponential form. Enter the number in standard form.
Answers
Given number in factored form 7.7.7.7.7.7 can be represented in the following way :
Exponential form : 7⁶
Standard form. : 11.7649 × 10⁴
As given in the question,
Given number in factored form is equal to 7.7.7.7.7.7
Represent the given factored form number into exponential form and standard form is written as :
Exponential form is given by :
7.7.7.7.7.7
= 7¹⁺¹⁺¹⁺¹⁺¹⁺¹
= 7⁶
Standard form is given by :
7.7.7.7.7.7
= 117649
= 11.7649 × 10⁴
Therefore, given number in factored form 7.7.7.7.7.7 can be represented in the following way :
Exponential form : 7⁶
Standard form. : 11.7649 × 10⁴
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Find the nth term of this
quadratic sequence
2, 8, 18, 32, 50, ..
Answers
Answer:
The nth term is 2n^2.
Step-by-step explanation:
We see that each term is twice a square number. So it follows that
[tex]a(n )= 2 {n}^{2} [/tex]
for n = 1, 2, 3,.....
Emma is scrapbooking. She has 9 inches of paper and needs to cut it into 2/5 inch strips of paper. How many whole strips will she be able to make?
*
1 point
Answers
The number of strips Emma will be able to make 22.5 i.e. 22.
What is strips?The set of points in the plane between two parallel lines in the plane. The x,y coordinates plane of the points in the stripe satisfy the inequality C1 < . Ax + By < C2, where A, B, C1, C2 are certain constants and both A and B cannot be zero. The strip number is typically used in preparing the data for matching (or as a matching transformation within the matching processor). For text data that has numbers in the data but that you know are irrelevant, removing the numbers before matching is useful. As an abstract topological space, the Mobius strip can be embedded in three-dimensional Euclidean space in various ways. The twist is greater than 1 or the centerline is knotted.According to question
Total paper = Total strips × size of one
9 = n × 2/5
n = 22.5
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Choose the graph of this equation. y = 2.5x
Answers
Answer:
1
Step-by-step explanation:
A real estate licensee leased a building for 10 years at an annual rent of$48,000. she will receive a commission of 7.5 % for the first 5 years, 5% for the next there years and 3.5% for the final two years. what will her income be from this commission over the life of the lease?
Answers
We have the lease of a building is for 10 years with an annual rent of $48 000.
We first determine the 7.5% for the first 5 years, for that we add the cost of the rent for 5 years, that is:
[tex]5(48000)=240000[/tex]In 5 years the rent will be of $240 000, now we find the 7.5%:
[tex]c_5=\frac{240000\cdot7.5}{100}\Rightarrow c_5=18000[/tex]Her commision for the first 5 years is going to be of $18 000.
Now we determine the 5% for the next 3 years, for this we determine the rent for 3 years:
[tex]3(48000)=144000[/tex]The rent for 3 years adds $144 000, now we determine the 5%:
[tex]c_3=\frac{144000\cdot5}{100}\Rightarrow c_3=7200[/tex]From this we have that the commission for the next 3 years will be of $7200.
And finally, we determine the rent for the two remaining years:
[tex]2(48000)=96000[/tex]We have that the last two years the rent will be of $96000, now we determine the 3.5% of her commission during that time:
[tex]c_2=\frac{96000\cdot3.5}{100}\Rightarrow c_2=3360[/tex]From this we have her commission for the last two years will be of $3360.
Finally we add all of the values of the commissions she will get:
[tex]c_t=18000+7200+3360\Rightarrow c_t=28560[/tex]From this we have that the total commision money she will be getting during those 10 years will be $28 560.
Perform the following food service calculation.
Meat served: chicken with a bone
Pounds of chicken available: 48 lbs.
How many guests can be served?
Answers
The number of guests that can be served is 12
How to determine the number of guests?From the question, we have the following parameters that can be used in our computation:
Meat served: 4 lbs chicken with a bone
Pounds of meat available: 48 lbs.
The number of guests needed is calculated using the following equation
Number of guests = Pounds of meat available/Meat served
Substitute the known values in the above equation, so, we have the following representation
Number of guests = 48/4
Evaluate the quotient
Number of guests = 12
Hence, 12 guests can be served with the available meat
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Possible question
Perform the following food service calculation.
Meat served: 4 lbs chicken with a bone
Pounds of meat available: 27 lbs.
How many guests can be served?
Name the coordinates of Q(6, -4) under a reflection in the x-axis.
Answers
The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4)
The coordinates of x will remain the same for reflection in the X axis, while y will change with the opposite sign.
From the question, we have
The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4).
Reflection:
A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively. The coordinate system may be referred to by the reflection transformation (X and Y-axis).
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Where can I calculate the shaded area of this diagram?
Answers
We are asked to find the area of the shaded region.
Notice that the overall figure is a rectangle and the missing area is a triangle.
The area of the rectangle is given by
[tex]A_{\text{rect}}=w\cdot l[/tex]Where w is the width and l is the length of the rectangle.
width = 7 m
length = 16 m
[tex]A_{\text{rect}}=w\cdot l=7\cdot16=112\; \; m^2[/tex]So, the area of the rectangle is 112 m²
The area of the triangle is given by
[tex]A_{\text{tri}}=\frac{1}{2}\cdot b\cdot h[/tex]Where b is the base and h is the height of the triangle.
base = 7 m
height = 8 m
[tex]A_{\text{tri}}=\frac{1}{2}\cdot b\cdot h=\frac{1}{2}\cdot7\cdot8=28\; \; m^2[/tex]So, the area of the triangle is 28 m²
The area of the shaded region can be found by subtracting the area of the triangle from the area of the rectangle.
[tex]\begin{gathered} A=A_{\text{rect}}-A_{\text{tri}} \\ A=112-28 \\ A=84\; \; m^2 \end{gathered}[/tex]Therefore, the area of the shaded region is 84 m²
a stationary shop had an equal number of pens and notepads at first. after selling 1250 pens and 380 notepads, there were 4 times as many notepads as pens left. how many pens did the stationary shop have at first
Answers
The stationary shop had 90 pens with them initially.
Let,
The number of pens initially at the stationary shop=x
The number of pens and the number of notepads are said to be equal. Therefore, The number of notepads initially at the stationary shop=x
After selling,
The number of pens = x-1250
The number of notepads = x-380
The number of pens was four times the number of the number of notepads. Modelling the linear equation for the situation:
x-1250=4(x-380)
x-1250=4x-1520
x=4x-270
-3x=-270
x=90
The stationary shop had 90 pens initially.
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Jordan types at a constant rate of 40 words per minute. The number of words typed, y, is a function of the number of minutes spent typing Part A Which equation models this situation? 95 CV 40and how many words can he type in 7.5 minutes
Answers
To write the equation that represents the situatio, as y is in function of x, you multiply the rate by the number of minutes (x):
[tex]y=40x[/tex]In 7.5 minutes he can type:
[tex]y=40(7.5)=300[/tex]The table shows our research activities of two students at an observatory how much does a student pay to use a telescope for 1 hour the supercomputer? for 1 hour?
Answers
Answer: Student 1 pays $23.5 to use a supercomputer and pays $14.1 to use a telescope
Step-by-step explanation:
Using cross multiply and divided method, we can find the unit rate or just dividing.
Student 1. 3 1
$70.5 x
70.5 x 1 = 70.5
70.5 ÷ 3 = $23.5
x = $23.5
5 1
70.5 x
70.5 x 1 =70.5
70.5 ÷ 5 = 14.1
x = $14.1
Student 1 pays $23.5 to use a supercomputer and pays $14.1 to use a telescope.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Using the cross multiply and divide method, we can find the unit rate or just divide.
Student 1. 3 1
$70.5 x
70.5 x 1 = 70.5
70.5 ÷ 3 = $23.5
x = $23.5
5 1
70.5 x
70.5 x 1 =70.5
70.5 ÷ 5 = 14.1
x = $14.1
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Suppose S and T are mutually exclusive events. Find P(S or T) if P(S)= 6/11 and P(T)= 1/10
A. 71/110
B. 3/55
C. 1/3
D. 71/21
Answers
The value of P(S or T) is 71/110.
What is mutually exclusive event?
If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.
As given,
S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.
By using,
P(S ∪ T) = P(S) + P(T) - P(S ∩ T)
= 6/11 + 1/10 - P(S ∩ T)
= 71/110 - P(A ∩ T)
But the events S and T are mutually exclusive events.
therefore, P(S ∩ T) = 0.
So,
P(S ∪ T) = 71/110
Therefore, value of P(S or T) is 71/110.
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Please read in round your answer to the nearest whole number do not round any intermediate calculations
Answers
Solution
Total space
[tex]337+240+173+180=930[/tex]Probability
[tex]Probability\text{ =}\frac{Possible\text{ outcome}}{Total\text{ sample}}=\frac{337}{930}[/tex]Now for the next thin crust of 2000 pizza
[tex]\frac{337}{930}\times2000=724.7311[/tex]The final answer
[tex]725[/tex]Write an equation in point-slope form for the line that has a slope of 1/5 and contains the point (2,−9).
Answers
The equation is y+9=(1/5)(x-2).
What is a slope form?It is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The three major forms of linear equations are point-slope form, standard form, and slope-intercept form. The equation of the slope form is y-y₁ = m(x - x₁)
The formula for the point-slope is,
y-y₁ = m(x - x₁)
y₁ is the y-coordinate of the point in the line, x₁ is the x-coordinate of the point in the line and m is the slope.
y₁ = -9
m = 1/5
x₁ = 2
Substituting the above values in the above equation, we get
y-(-9) = (1/5)(x-2)
By simplifying the above equation, we get
y+9 = (1/5)(x-2)
Therefore, the equation is y + 9 = (1/5)(x-2).
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10x−1= 7 x + 26 7x+26
Answers
Answer:
x = - 27/179
Step-by-step explanation:
10x - 1 = 7x + 182x + 26
10x - 1 = 189x + 26
10x - 189x = 26 + 1
- 179x = 27
x = - 27/179
Elizabeth has
4 1/2 feet of material to make bookmarks. She will use 9 inches of material for each bookmark. How many bookmarks can Elizabeth make?
Answers
So she can make 6 bookmarks
3 to the power of 2 divided by 3
Answers
Answer:
3
Step-by-step explanation:
3 to the power of 2 is nine because 3 x 3 = 9
9 / 3 is 3
Answer:
3
Step-by-step explanation:
3²÷3¹
=3²-¹
=3¹
=3
or
3²÷3¹
=9÷3
=3
Salma runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answers
Answer:
The number of miles she would run in 44 minutes is;
[tex]4.8\text{ miles}[/tex]Explanation:
Given that;
Salma runs 6 miles in 55 minutes;
The rate at which she run is;
[tex]\text{rate =}\frac{\text{ distance}}{\text{time}}=\frac{6}{55}miles\text{ per minute}[/tex]At the same rate, the distance it will cover in 44 minutes is;
[tex]\begin{gathered} \text{time}=\frac{\text{distance}}{\text{rate}} \\ \text{distance}=\text{time}\times rate \\ \text{distance}=44\times\frac{6}{55} \\ \text{distance = 4.8 miles} \end{gathered}[/tex]The number of miles she would run in 44 minutes is;
[tex]4.8\text{ miles}[/tex]Please look at picture! thank you!
Answers
Answer:
16
Step-by-step explanation:
write the equation for a3
a3 = a2 + 3(3) -> eq1
now find what is a2, write equation for a2
a2 = a1 + 3(2) -> eq2
you know a1=1, replace that into eq2
a2 = 1 + 3(2) = 1 + 6 = 7
replace a2 into eq1
a3 = 7 +3(3) = 7 + 9 = 16
Select the correct answer.
Eric traveled to two cities on a single highway. The total distance one way was 200 miles. The distance from his original location to the first city was 40
miles less than the distance from the first city to the second city. Suppose that x represents the distance from the original location to the first city and y
represents the distance from the first city to the second city. The following system of equations represents the given situation
x + y = 200
x = y - 40
Which pair of coordinates represents the solution (in miles) to this system of equations?
O A.
(70, 130)
(80, 120)
(160, 120)
(100, 100)
B.
O c.
D.
E. (140, 60)
Answers
In linear equation, The solution to this system is (80, 120)
What is a linear equation example?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5.Finding both intercepts of an equation in this format is rather simple (x and y).The following system of equations represents the given situation
x + y = 200
x = y - 40; substituting x from this equation to the first:
y - 40 + y = 200
2y = 240
y = 120
Corresponding value of x:
x = 120 - 40
x = 80
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estimate 6 and five ninths times sixty eight and 1 third
Answers
To estimate this, let's first translate to figures.
We have:
[tex]\begin{gathered} \text{Five ninths = }\frac{5}{9} \\ \\ Sixty\text{ eight = 68} \\ \\ 1\text{ third = }\frac{1}{3} \end{gathered}[/tex]Let's estimate, we have:
[tex]undefined[/tex]what is the answer to 3 1/8 ÷1 2/3
Answers
Answer: 3 1/8 ÷ 1 2/3 = 15/8. 15/8 as a simplified mixed number is 1 7/8
Step-by-step explanation: 15/8 is at it's simplist form and cannot be divided again that is why you convert it into a mixed number. I hope this helps!