The tables show two functions evaluated for the given
values of x.
Which table shows the values of the combined
function determined by dividing g(x) by f(x)?
Х
f(x)
-8
-6
-4
-2
4
6
8
10
8.
O
X
g(x)
f(x)
-4
1
5
4
1
3
-
1
7
Х
g(x)
-8
54
-4
10
4
18
8
70
ܗ | ܗ | ܗܙ ܚܕܐ ܗ
х
4
8
O
g(x)
f(x)
5
-3
-7
-8
-4
4
8
o
х
g(x)
f(x)
-9
-5
3
7
-8
4
O
х
g(x)
f(x)
oi |
4
1
5
1
3
8
1
7
Answers
Answer:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]
Step-by-step explanation:
Given
The attached tables of f(x) and g(x)
Required
A new table
For both tables, the x-values are the same.
So, the new table is as follows:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {54/-6} & {10/-2} & {18/6} & {70/10} \ \end{array}[/tex] --- i.e. divide g(x) by f(x) of the same x values
After the division, we have:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]
By taking the quotient between the two functions evaluated in one value of x, we will see that the correct option is the third table (counting from the top).
How to find the correct table?
We want to find the table that correctly represents the quotient of the two functions f(x) and g(x).
To do this, let's find each value of that quotient and see which table contains them.
for x = -8 we have:
f(-8) = -6g(-8) = 54.Then the quotient is:
g(-8)/f(-8) = 54/-6 = -9
There is only one table that contains this value, so only with this, we can conclude that the correct option is the third table (counting from the top).
If you want to learn more about rational functions, you can read:
https://brainly.com/question/1851758
Related Questions
Help with Pythagorean theorem
Answers
Answer:
45
Step-by-step explanation:
(27*27)+(36*36) = 2025
square root 2025 and you get 45
to check 45*45=2025
Please help will give brainliest
Answers
Answer:
16p - 2
Step-by-step explanation:
Answer:
20p - 2
Step-by-step explanation:
To find a perimeter, you take the values of each side and add them together.
Let's start there.[tex](p-8)+(9p-7)+(p-8)+(9p-7)[/tex]
Bring all values with a p to one side[tex]p+9p+9p+p-8+7-8+7[/tex]
Simplify, knowing values with an attached variable cannot be added to values without an attached variable.[tex]20p-8+7-8+7[/tex]
Simplify the other numbers.[tex]20p-2[/tex]
Identify the volume and surface area of the hemisphere in terms of pie.
Answers
Answer:
it's off topic but which grade are you in
Find the measure of <3. 90 50 40 130
Answers
=============================================================
Explanation:
This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.
One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.
The measure of ∠3 is 90°
Because in a kite the diagonals bisects at 90°
Therefore ∠3 is 90°
Answered by Gauthmath must click thanks and mark brainliest
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
Question 3: 220 centimeters
Question 4: 31.4 millimeters
Step-by-step explanation:
Question 3:
Formula for circumference: 2πr
2πr
Exchange π for 22/7
2 · (22/7) · r
Exchange r (radius) for 35
2 · (22/7) · 35
Simplify:
2 · (22/7) · 35
44/7 · 35
220; 220 centimeters
Question 4:
Formula for circumference: 2πr
2πr
Exchange π for 3.14
2 · 3.14 · r
Exchange r (radius) for 5
2 · 3.14 · 5
Simplify:
2 · 3.14 · 5
6.28 · 5
31.4; 31.4 millimeters
Answer:
220 cm31.4 mmStep-by-step explanation:
Concept:
Here, we need to know the idea of circumference.
The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.
Circumference = 2πr
Solve:
Question # 1
r = 35 cm
π = 22/7
Circumference = 2πr
Circumference = 2 (22/7) (35)
Circumference = 2 (110)
Circumference = 220 cm
Question # 2
r = 5 mm
π = 3.14
Circumference = 2πr
Circumference = 2 (3.14) (5)
Circumference = 10 (3.14)
Circumference = 31.4 mm
Hope this helps!! :)
Please let me know if you have any questions
(06.05 MC)
A juice company did a survey among 100 customers to find their juice preferences. The customers
were asked about their preferences for apple or orange juices. Out of the total 35 people who liked
apple juice, eight also liked orange juice. There were 20 people who liked orange juice.
Part A: Summarize the data by writing the values that the letters A to l in the table below represent.
(5 points)
Like apple juice
Do not like
apple juice
Total
A
B
с
Like orange juice
D
E
Do not like
orange juice
F
H
G
Total
I
Part B: What percentage of the survey respondents did not like either apple or orange juice? (3
points)
Part C: Do the survey results reveal a greater dislike for apple juice or orange juice? Justify your
answer. (2 points)
(10 points)
Answers
Answer:
Part A: A = 8
B = 20
C = 28
D = 35
E = 37
F = 72
G = 43
H = 57
I = 200
Part B: 18.5%
Part C:
D = People who do not like Orange Juice
B = People who do not like Apple Juice
I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.
D = 35
B = 20
So there is a greater dislike for Orange Juice.
Step-by-step explanation:
In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°. Circle O is shown. Line segments L O , M O, and N O are radii. The length of L O is 6 centimeters. Angle M O N is 75 degrees. The measure of arc L M is 6.3 centimeters. Rounded to the nearest tenth of a centimeter, what is the length of arc LMN? 7.9 cm 10.2 cm 12.6 cm 14.2 cm
Answers
Answer:
[tex]LMN = 14.2[/tex]cm
Step-by-step explanation:
Given
[tex]r = OL = NO = MO = LO =6cm[/tex] -- radius
[tex]LM = 6.3cm[/tex] -- arc
[tex]\angle MON = 75^o[/tex]
(see attachment)
Required
The length of arc LMN
First, we calculate the length of arc MN using:
[tex]MN = \frac{\alpha}{360} * 2\pi r[/tex] --- length of arc
In this case:
[tex]\alpha = \angle MON = 75^o[/tex]
So, we have:
[tex]MN = \frac{75}{360} * 2 * 3.14* 6[/tex]
[tex]MN = \frac{75* 2 * 3.14* 6}{360}[/tex]
[tex]MN = \frac{2826}{360}[/tex]
[tex]MN = 7.85[/tex]
So, the length of arc LMN is:
[tex]LMN = LM + MN[/tex]
[tex]LMN = 6.3 + 7.85[/tex]
[tex]LMN = 14.15[/tex]
Answer:
D
Step-by-step explanation:
14.2
If g(x) = 2(x − 4), find the value of x if g(x) = 20
Answers
Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
Find the volume of this sphere please help
Answers
Answer:
Volume = 108 ft³
Step-by-step explanation:
Volume of a sphere is given by the expression,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
From the picture attached,
Radius of the sphere = 3 ft
By substituting the value of r in the expression,
Volume = [tex]\frac{4}{3}\pi (3)^{3}[/tex]
= 36π
= 36×3
= 108 ft³
Which expression is equivalent to (3a)–2?
Answers
Answer:
[tex] \frac{1}{9a { }^{2} } [/tex]
Step-by-step explanation:
I hope this help if it doesn't I'm sorry
Which of the points does not lie on the line y=x^2
Answers
Answer:
y does not lie on the point x^2 lie
Answer:
[tex]\large \green{ \boxed{\boxed{\begin{array}{cc} \maltese \: \bf \: (\frac{3}{2}, \frac{9}{2} ) \: dose \: not \: lie \\ \\ \bf \: on \: the \: curve \: \: \end{array}}}}[/tex]
6. An integer Pis two thirds of another and their difference is 10. Find the two integers. an integer p is 2/3 of another and their difference is 10 find the two integers
Answers
Answer:
20, 30
Step-by-step explanation:
let the intergers be x and y
x = 2/3y
from this eqn, we know that y is larger.
hence, y-x=10
y-2/3y=10
1/3y=10
y=30
x=2/3y =2/3(30) = 20
Select the correct answer from each drop-down menu.
Write the functions represented by the graphs.
Answers
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Answer:
CORRECT
Step-by-step explanation:
mountains poem in nepali for class 7
Answers
Step-by-step explanation:
म नजन्मिदै विधवा भएकी हिमाल
खै! किन हो मेरा यी हेर्ने नयनले उनलाइ
अझै पनि दिन र रातमा
सेतै लुगा पहिरिएकी देख्छ
अचम्म लाग्छ मलाइ पहिरिएकी सेतो लुगा माथि
मुनालले पाइला टेके पनि विष्ठा गरे पनि कहिल्यै
मैलो हुदैन सेतो लुगाको वास्तविक रङ
उत्तिकै सेतो देख्छु म
निर्जीव वस्तु भएनी हिमाललाइ
सजीव मनुस्यको जस्तै चोटको कल्पना गरेको छु मैले
किनकी चोटै चोटले ग्रसित भएकी उनी आजभोली
अपाङ्गको सिकार बनिसकेकी छिन
उनलाइ अन्धो भन्छु म किनकी उनी आँखा देख्दैनन
आँखा नदेखे पनि अरु कसैलाइ सुम्सुम्याउन समेत सक्दैनन
तर पनि कस्तुरी, डाफे,मुनाल,घोरल,चितुवा आदि जनावरहरुको
सहारा दिने आश्रय स्थल भएर उभिएकी छिन, के कम छिन र?
जमिन भित्र उनको खुट्टा गाडिएर होला
खुट्टाको दृश्य मैले अझै पनि देख्न पाएको छैन
कस्तो होला है! हिमालको खुट्टा ? सोचिरहन्छु म
सायद खुट्टा नै छैन र पो कहिल्यै पनि हिड्डुल गर्न सक्दैनन कि?
जब कुनै समयमा चुचुरोमा हावा बहन थाल्यो
एकदिन सेतो कपाल धरतीमा हाम फालेर
नदिहरु बढ्न थाले तर उहीँ बहेको हावाले
हिमालको श्रवण गर्ने कानको जाली
नै फुटाइदिएछ त्यही भएर म भन्छु
हिमाललाइ बहिरो पनि हुनुहुन्छ तपाईं
सधै टोलाएर बसेकी देख्छु म
रोजगारी भन्ने कुरा त उहीँ हो हिमाललाइ
बिहानीपख देखि सन्ध्या काल सम्म
प्रकृतिले बसिबसी ऐना टल्काउने
पदभार ग्रहण गराइदिएको छ जब घाम
झुल्किन्छ उनी अस्ताउन्जेल सम्म ऐना टल्काइरहन्छिन्
त्यसैले म भन्छु हिमाललाइ बिधवा भएर के भो त
खान लाउनको लागि रोजगारी मिलेकै छ क्यारे !
19. Charlotte has a success rate of about 20%
for making baskets in attempts during
basketball games. She wants to determine
the probability that she will have to make at
least 5 attempts during a game in order to
make a basket. She designed a simulation
where she spun a spinner that was divided
into 5 equal sections, one of which was
colored red. She counted how many times
she had to spin the spinner in each trial
before it landed on red. The results of her
20 trials are shown below.
5, 2, 7, 2, 3, 4, 10, 6,4,6,
3, 6, 6, 4, 8,5,7,7,1,5
According to this simulation, what is the
probability that Charlotte will have to
make at least 5 attempts in order to make
a basket?
Answers
Answer:
[tex]P(x \ge 5) = 0.60[/tex]
Step-by-step explanation:
Given
[tex]S = \{5, 2, 7, 2, 3, 4, 10, 6,4,6,3, 6, 6, 4, 8,5,7,7,1,5\}[/tex]
[tex]n(S) = 20[/tex]
Required
[tex]P(x \ge 5)[/tex]
First, we count the number of trials that are at least 5
[tex]x = \{5, 7, 10, 6,6, 6, 6, 8,5,7,7,5\}[/tex]
So, we have:
[tex]n(x \ge 5) = 12[/tex]
So, we have:
[tex]P(x \ge 5) = \frac{n(x \ge 5)}{n(S)}[/tex]
This gives
[tex]P(x \ge 5) = \frac{12}{20}[/tex]
[tex]P(x \ge 5) = 0.60[/tex]
From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building
Answers
Answer:
First we find the distance between the two buildings =
Step-by-step explanation:
[tex] \frac{80}{ \tan(65) } = 37.3 ft[/tex]
then the upper part of the taller building =
[tex]37.3 \times \tan(59) = 62 \: ft[/tex]
Now the total height of the taller building
[tex]80 + 62 = 142 \: ft[/tex]
tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem
Answers
Answer:
3 a + 4 b
Step-by-step explanation:
Biểu thức đại số biểu thị bạn Cúc mua 3 ly trà sữa và 4 ly kem là:
3 a + 4 b
Para un proyecto de arte, omar debio trasladar en la cuadricula la figura de colocar segun estas indicaciones 6 cuadraditos hacia la izquierda y 5 cuadraditos hacia la derecha dibula en la cuadricula la figura en su nueva ubicacion
Answers
Answer:
Después de una búsqueda online, encontre la pregunta completa, la cual puede verse abajo.
Lo que queremos hacer es mover la figura 6 unidades a la izquierda, y 5 unidades hacia abajo.
Para hacer esto, simplemente podemos tomar cada vértice de la figura y moverlo 5 unidades hacia abajo, y luego 6 unidades a la izquierda.
Una vez hemos movido los 4 vértices, podemos conectarlos con segmentos, y de esta forma tendremos la figura trasladada.
En la segunda imagen se puede ver como este proceso se hace para el vértice derecho de la base. En el mismo gráfico se movieron los otros 3 vértices y se conectaron, para así obtener la figura trasladada.
The average number of shirts that a shop sold each month is given in the graph. In the graph, 1 represents January, 2 represents February, and so on. Based on the graph, how many shirts can the shop expect to sell in June of that year? A. 60 shirts B. 160 shirts C. 220 shirts D. 320 shirts
Answers
Answer:
320 shirts
Step-by-step explanation:
Answer:
320 shirts
Step-by-step explanation:
If the shirts were around 400 in January, then you would assume that near June, the number of shirts sold would be 320 shirts.
Help please! Need this answered quick!
Answers
Answer:
3.6
Step-by-step explanation:
the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6
If the mean of a normal distribution is 210, what is the median of the
distribution?
210
B. 315
C. 105
D. 420
Answers
Answer:
210
Step-by-step explanation:
In a normal distribtuion mean=mode=median
so 210=median
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
Answers
The question isn't well formatted ; however, from what can be deduced from the question posted :
Answer:
- 10.071
Step-by-step explanation:
Given the expression :
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
Expressing Mathematically :
h - (- 2.22) = - 7.851
Opening the bracket :
h + 2.22 = - 7.851
Subtract 2.22 from both sides :
h + 2.22 - 2.22 = - 7.851 - 2.22
h = - 10.071
Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was higher than Jan's score and higher than Maxim's score. What could be peters least possible score?
Answers
Answer:
91
Step-by-step explanation:
P>J and P>M
269 -> split into 3 parts
Approx is 90
IF Peter's score is 90, then the other 2 scores could be 90 and 89
+ 1 to Peter's score
Hence Peter's least possible score could be 91.
If two sides of a triangle have lengths 4 and 9, then the length of the third side may be any number
Answers
Answer:
should I fild the length of third side in this question ?
Answer:
If this question was a true or false, the answer is false. Otherwise, any number greater than 5 but less than 13.
Plz help similarity theorems
Answers
Answer:
b is the answer bro and try first then ask questions
Trash-A-Way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage-No-More charges a flat fee of $45 per month. Write a system of equations to represent each plan. How many pounds of trash would make the two plans equal?
Answers
Answer:
look at the explanation
Step-by-step explanation:
Write an equation:
Trash a way : $25 + 0.25x
Garbage No More : $45 per month
so to make them equal we need to have enough trash in Trash A Way that it equals $45
25 + 0.25x =45
0.25x = 20
x = 80
So, you need to have 80 pounds of trash to make them equal
hope this helps!
please vote and heart!
Hello :) how to do this?
Answers
Answer:
Please see the attached pictures for the full solution.
[tex]\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }[/tex]
Gabby piggy bank contains dimes and quarters worth $8.55. If she has 63 coins in all how much does she have
Answers
Answer: 48 dimes, 15 quarter
Step-by-step explanation:
Given
The money is of the net worth of [tex]\$8.55[/tex]
If there is total of 63 coins
Suppose there are [tex]x[/tex] dimes and [tex]y[/tex] quarter
[tex]\therefore x+y=63\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=8.55\quad \ldots(ii)[/tex]
Solve (i) and (ii)
[tex]x=48,y=15[/tex]
Thus, there are 48 dimes and 15 quarters
y= -(x+3)^2 -5
What is the leading coefficient?
How do you find the vertex?
Answers
Answer:
To find the leading coefficient, first expand the function:
[tex]y= -(x+3)^{2} -5\\\\y=-(x^{2} +6x+9)-5\\\\y=-x^{2} -6x-9-5\\\\y=-x^{2} -6x-14[/tex]
The leading coefficient is the coefficient of the highest-order term, which, in this case, would be the -1 from -x².
To find the vertex: see image below
Vertex = (-3, -5)
Must show work! PLEASE DO THIS ASAP!
No links
Answers
Answer:
37.68
Step-by-step explanation:
The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68
[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]
r = 6 inchesπ = 3.14[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]
