Note: I am assuming you mean ''on what domain is f+g is defined''.
Answer:
We conclude that
Dom(f+g) = [-2, 5]Step-by-step explanation:
Given the domain of f
[-3, 5]
Given the domain of g
[-2, 7]
The domain of a composition f+g would include the intersection of both domains.In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.
so
Domain of f = [-3, 5]
The x-values lie in the domain of f interval are:
x = -3, -2, 1, 0, 1, 2, 3, 4, 5
Domain of g = [-2, 7]
The x-values lie in the domain of g interval are:
x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7
Therefore, the common x-values in both f and g would be:
-2, 1, 0, 1, 2, 3, 4, 5
Thus, we conclude that
Dom(f+g) = [-2, 5]⚠️HELP PLEASE ⚠️Two gears on a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first great has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the mark line up again?
Answer:
26
Step-by-step explanation:
A graph has average temperature (degrees Fahrenheit) on the x-axis, from 0 to 60, and total coat sales on the y-axis, from 0 to 100. A trend line goes through points (55, 50) and (65, 40). The regression equation is y = negative 0.96 x + 103.
Use the regression for Clothes-4-You coat sales to make predictions.
How many coats should Clothes-4-You expect to sell when the average temperature is 80°F?
What is the predicted temperature when 125 coats are sold?
Answer:
its 3 and 60 on edg
Step-by-step explanation:
Answer:
26 coats; -23°F temperatureStep-by-step explanation:
For x = 80, we have:
y = - 0.96*80 + 103 = 26.2 ≈ 26 coats expected to be soldPredicted temperature when 125 coats are sold:
125 = - 0.96x + 103- 0.96x = 22x = 22/-0.96x = -22.9 ≈ -23°FASAP plz help me with this
Answer:
6
Step-by-step explanation:
Given this number line, DB = [?]
13 - 11 = x
11 - v = 7
13 - 11 = 2
2 = x
11 - v = 7
7 + 4 = 11
4 = v
v + x = ?
2 + 4 = 6
Given this number line, DB = [6]
An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour. How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Answer:
20 ; 40 ; 80 ; 10(2^n)
Step-by-step explanation:
Given that:
Initial amount of goo (p) = 10 gram
Total amount of goo increased by 100% every hour ;
How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Using the relation :
Final amount = initial * (1 + rate)^t
Rate = 100% = 100/100 = 1
t = number of hours
Hence, after 1 hour :
Final amount = 10(1 + 1)^1
Final amount = 10(2)^1 = 20 grams
After 2 hours : t = 2
Final amount = 10(1 + 1)^2
Final amount = 10(2)^2 = 10 * 4 = 40 grams
After 3 hours ; t = 3
Final amount = 10(1 + 1)^3
Final amount = 10(2)^3 = 10 * 8 = 80 grams
After n hours ; t = n
Final amount = 10(1 + 1)^n
Final amount = 10(2)^n grams
The ratio of boys to girls in a group is 7.1. If there are 54 more boys than girls, work out how
many boys there are,
Answer:
63 boys
Step-by-step explanation:
7 - 1 = 6
54 divided by 6 is 9
9 x 7 = 63
Answer:
63 boys
Step-by-step explanation:
7-1=6
6*9=54
I need help with that
Answer:
b=8
Step-by-step explanation:
i need to find the measure of the exterior angle of the triangle
Answer:
92º
Step-by-step explanation:
(2x-2)º=x+45º
2x-2=x+45
2x-x=45+2
x=47
____________
22x-2=2(47)-2=92º
there are 10 boys and 20 girls in a class.
the class has a test.
the mean mark for the class is 60.
the mean mark for the girls is 54.
work out the mean mark for the boys.
Step-by-step explanation:
There are 10 + 20 = 30 total students in the class.
Total marks for the class = 60 * 30 = 1800.
Total marks for the girls = 54 * 20 = 1080.
=> Total marks for the boys = 1800 - 1080 = 720.
Mean mark for the boys = 720 / 10 = 72.
PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
Complete the inequality with >, <, or =.
72 _____ 34
Answer:
>
Step-by-step explanation:
which ever the arrow is opening up to, is the greater number bro
Use the distance formula to find the distance between the two coordinate point (round to the nearest the third). Coordinates: (-3,-2) and (3,2)
The distance is 10 units
A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?
O K.y) - «-3, y + 5)
O (.y)- -3.y- 5)
O (x.y)- (x+ 3, y-5)
O «.y) - («+3, y + 5)
Answer:
The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.
Thus,
(x, y) ⇒ (x – 3, y + 5)Step-by-step explanation:
Given the rule T–3, 5(x, y)
The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.
Thus, if a triangle on a coordinate plane is translated according to the
rule T-3, s(x, y), then another way to write this rule will be:
(x, y) ⇒ (x – 3, y + 5)
Mrs. Li wants to compare her students’ test scores to the school average. She created a table to help her.
Mrs. Li’s Student Test Scores
Student
Score compared to school average
Adam
+3
Bryan
0
Cierra
–4
Devaughn
+1
Elena
+5
Fionna
–2
Which list orders the students by lowest score to highest score?
Bryan, Cierra, Fionna, Devaughn, Adam, Elena
Cierra, Fionna, Bryan, Devaughn, Adam, Elena
Elena, Adam, Devaughn, Bryan, Fionna, Cierra
Bryan, Devaughn, Fionna, Adam, Cierra, Elena
Answer:a
Step-by-step explanation:
Enter the equation of the line in slope-intercept form.
The line parallel to y =
7
2
x + 6 that passes through (−2, 0).
The equation of the line that passes through (−2, 0) is y = .
Answer:
y = 7/2x + 7
Step-by-step explanation:
0 = 7/2(-2) + b
0 = -7 + b
b = 7
y = 7/2x + 7
can someone help? which triangle is the same as ABC?
Show work on this smart people
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
If Fun Reads Bookstore has a ready club with a $40 fee and charges $5 per book and Cool Covers Bookstores club charges $100 fee and charges $2 per book how many books would you have to buy to make Cool Covers Bookstore club a better buy?
Answer:
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Step-by-step explanation:
Given that:
Fee charged by Fun Reads Bookstore = $40
Charges per book = $5
Let x be the number of books.
A(x) = 5x+40
Fee charged by Cool Covers Bookstore = $100
Charges per book = $2
B(x) = 2x+100
For making Cool Cover Bookstores club a better deal,
B(x) > A(x)
2x+100 > 5x+40
2x-5x > 40-100
-3x > -60
Dividing both sides by -3
[tex]\frac{-3x}{-3}>\frac{-60}{-3}\\x>20[/tex]
Hence,
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
helppppppppppppppppppppppppp
Answer: C!!!
Step-by-step explanation:
1. Divide 1,875 by 125 and you get 15.
2. Do the same with 5,625 and you get 375.
3. Multiply 420 by 15 and you get 6,300.
Can you pls mark brainliest!!!! :)))
A computers random number generator produces random integers from 1 - 50. What is the probability that the first three integers generated for single digit numbers
Answer:
9/50
Step-by-step explanation:
There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:
Probability = number of favorable outcomes /total number of outcomes
Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50
plz help me ........
Answer a is it
Step-by-step explanation
is this set of ordered pairs a function ?
{ (6,1) (9,2) (6,8) (9,7) (8,3)}
Answer:
nope always remember if the x's are the same its not a function :)
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
x has y
6 has 1 and later said
6 has 8
this could not happen in a function
what is 3*5 plesase helllpppp
Answer:
15
Step-by-step explanation:
pls brainiest
HELLLOOOOOO VERIFIED PEOPLE OR GENIUS PEOPLE PLEASE HELP ME OUT!!
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 9.
Q' =
R' =
T' =
W' =
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a sca… Get the answers you need, now! ... Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 3. 2 ... Which expression has a value of -16 when p = 16 and q = 2?
sorry just looked it up
which expression can be written as 5x(2+7)
Answer:
Step-by-step explanation:
5x(2+7)
10x+35x
45x
There are no choices. But above is the answer if I need to solve it.
What is the sum of the one hundredth of 25, one tenth of thirty and one thousandth of 60?
Answer:
331/100 or 3 31/100
Step-by-step explanation:
We have;
One - hundredth of 25 = 1/100 × 25 = 1/4
One-tenth of 30 = 1/10 × 30= 30/10 =3
One-thousandth of 60= 1/1000 × 60= 60/1000= 3/50
So we have:
1/4 + 3 + 3/50 = 331/100 or 3 31/100
A piece of paper is LaTeX: 8\frac{1}{2}8 1 2 inches wide. You tape 7 pieces of paper together to make a banner. How long is your banner? Type your answer as a simplified fraction using the forward slash "/".
Answer:
81/2
Step-by-step explanation:
you need to divid that o getter
A dog walker service offers a daily service and a weekly service in the winter the ratio of daily customers to weekly customers was one to five however in the spring more customers moved to the daily service because of the nicer weather after the weather changed the ratio was 4:2 if there were 1:5weekly customers in the winter then how many daily customers were there in the spring
Answer:
Daily customers were there in the spring = 100 customers
Step-by-step explanation:
In winter :
Daily customers to weekly customers = 1:5
In spring
Daily customers to weekly customers = 4:2
And total weekly customer in winter = 125
Find:
Daily customers were there in the spring
Computation:
Total customer in winter = 125[6/5]
Total customer in winter = 150
Daily customers were there in the spring = 150 [4/6]
Daily customers were there in the spring = 100 customers
In AGHI, ZG ZI, IG = 19 and HI = 14. Find the length of GH.
H
14)
19
Answer:
yui no kami usika mi 4x5
Step-by-step explanation:
can someone help me with this? (look at the image)
Answer:
H = (-1,3)
G = (-1,-1)
Step-by-step explanation:
What property justifies that
6
x
+
9
3
=
2
x
+
3
?
Answer:
Distributive Property
Step-by-step explanation:
Brainliest Please!