Answer:
10
Step-by-step explanation:
F(0) = 3^2+1=9+1=10
How many solutions does 6 - 3x = 4 - x - 3 - 2x have?
Answer:
No Solution
Step-by-step explanation:
6 - 3x = 4 - x - 3 - 2x (Given)
6 - 3x = -1 -3x (combine like terms)
7 (addition)
The x cancels each other out so no solution.
Tickets to a concert cost $50 for each orchestra seat and $40 for each
balcony seat. If 1,500 tickets were sold to earn $69,000, how many
orchestra-seat tickets were sold?
A
600
B 750
h
900
1,380
Answer:
H. the number of orchestra seat is 900
Step-by-step explanation:
Step one:
let the number of orchestra seat be x
and balcony seat be y
cost of orchestra= $50 each
cost of balcony =$40 each
total tickets= 1500
x+y= 1500----------1
amount earned= $69000
50x+40y=69000--------2
The system of equation for the situation is
x+y= 1500----------1
50x+40y=69000--------2
from 1, x=1500-y
put this in equation 2
50(1500-y)+40y=69000
75000-50y+40y=69000
-10y=69000-75000
-10y=-6000
divide both sides by -10
y=-6000/-10
y=600
put y= 600 in equation 1
x+600= 1500
x=1500-600
x=900
Consider these functions:
f(x)=4x³-10
g(x)=3x-4/2
What Is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answer:
i'm gonna say that its negitive 6 number one
Step-by-step explanation:
The value of g(f(2)) is 31 which correct option(D).
What is function?The function is defined as mathematics expression defines a relationship between one variable and another variable.
f(x) = 4x³-10
g(x) = 3x-4/2
Substitute value of f(x) in g(x),
[tex]g(f(x)) = \dfrac{3(4x^3-10) - 4}{2}\\g(f(x)) = \dfrac{12x^3-30 - 4}{2}\\g(f(x)) = \dfrac{12x^3-34}{2}[/tex]
g(f(x)) = 6x³-17
Substitute x = 2,
g(f(2)) = 6(2)³-17
g(f(2)) = 6(8)-17
g(f(2)) = 31
Learn more about function here:
brainly.com/question/12431044
#SPJ5
An arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 72 students?
Answer:
15students per 1 teacher
9 student per 1 tutor.
8 tutors for 72 students
Step-by-step explanation:
From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students
✓ 4 teachers for every 60 students
4teacher =60students
Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.
✓3 tutors for every 27 students,
3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.
How many students does the academy have
per teacher?
15students per 1 teacher
Per tutor?
9 student per 1 tutor.
How many tutors does the academy need if it has 72 students?
Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,
9 student = 1 tutor.
72 students= X tutor
If we cross multiply we have
72=9X
X=8 tutors
Therefore, we need 8 tutors for 72 students
3. Functions f, g, and h are defined as follows: f(x) = x + 1, g(x) = x2 +1, and h(x) = x + 1. (a) Find the inverse of function g(x). (b) Find f(h(-2)). (c) Find g(f(3)).
9514 1404 393
Answer:
(a) g^-1(x) = ±√(x -1)
(b) 0
(c) 17
Step-by-step explanation:
(a) The inverse is found by solving for y:
x = g(y)
x = y² +1
x -1 = y² . . . . . . subtract 1
y = ±√(x-1) . . . . take the square root
g^-1(x) = ±√(x -1) . . . . in functional form
Note: the inverse of g(x) is not a function, because it is double-valued.
__
(b) f(h(-2)) = f(-2+1) = f(-1) = f(-1+1)
f(h(-2)) = 0
__
(c) g(f(3)) = g(3+1) = g(4) = 4² +1
g(f(3)) = 17
Use a two-column proof to prove the Triangle Proportionality Theorem:
Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6). [tex]\frac{AD}{AB}=\frac{AE}{AC}[/tex] 6). Definition of two similar triangles
Hence proved.
what is the slope of the line that runs through the 2 points?
(8,10)(-7, 14)
A.15/4
B. -15,4
C. 4/15
D. -4/15
Answer:
it's B let me know if I'm wrong
Can someone help a fellow out :( ?
First to answer
Answer:
16/24
of the chocolate cake was eaten
13/16
of the red velvet cake was eaten
and
5/12
of the white cake was eaten.
Step by step explanation:
I subtracted the whole amount of cake by what was left.
Complete the statements based on the graph of the function f(x) = 1/2 √x.
The square root function is ___ by a factor of ___
The domain of f(x) is ___
The range of f(x) is ___
Answer:
1. shrunk
2. 1/2
3. all real numbers greater than or equal to 0
4. all real numbers greater than or equal to 0
Step-by-step explanation:
just got it right on edg
Find the approximate side length of a square game board with an area of 159 in.
(Round to the nearest inch as needed.)
Answer:
hope this helps, happy learning!!!
please geniuses answer this!!!
Find the LCM and HCF of 110 and 220 by prime factorization what do you observe
Answer: Prime factors of 110 are 2, 5, 11. Prime factorization of 110 in exponential form is:
110 = 21 × 51 × 111
Prime factors of 220 are 2, 5. Prime factorization of 220 in exponential form is:
220 / 20 gives you 11
Can someone help with both of these please asap
I'm on my sisters account and I'm in 4th grade please help me
Answer:
2.5
Step-by-step explanation:
Its too simple to explain soz
Answer:
2.5 :)
Step-by-step explanation:
what does this equal?
9+10=
Answer:
19?
Step-by-step explanation:
Hope this helps
Answer:
9 + 10 = 19
Step-by-step explanation:
Hope this helps, take care, stay safe, keep smiling, and always be happy!! And remember I believe in you my friend!!
Nick has a $45 Starbucks gift card. He purchased the same latte six times and has $18 left on the card. What was the price of each latte? What does the variable represent in this problem?
Answer:
The price of each latte was $4.5.
Step-by-step explanation:
6x + 18 = 45
6x = 45 - 18
6x = 27
x = 27/6
x = 4.5
The variable represents the cost of each latte.
Find the slope of the line passing through the points (5, 4) and (5, -5)
Answer:
NO Slope
Step-by-step explanation:
slope of the line passing through the points (5, 4) and (5, -5)
slope = y2 - y1 = -5 - 4 = -9
x2 - x1 5 - 5 0
see attached.
in this graph of a line x = 5, no matter what the value of y is.
the horizontal change is 0 and the vertical change is any y value
therefore, there is NO Slope
I WILL GIVE AWAY 50 POINTS IF YOU GUYS ANSWER THIS RIGHT!!!
PLEASE HELP I NEED THIS RIGHT NOW!
Answer:
Player A, Player D, Player C, Player B
Step-by-step explanation:
Hope I'm Right :)
Answer:
PLayer B player D player C and Player A
Step-by-step explanation:
multiply
( 4x + 6y ) to the power of two 2
what is the answer?
Answer:
2
Step-by-step explanation:
the zamboni will resurface 270 square meters of ice per minute. How long will it take to resurface a rink that's 80 meters long and 70 meters wide.
Answer:The remaining area to cover is
.9 * (25m * 40m)
Step-by-step explanation:
Someone help me ASAP PLEASE
Answer: I cant see it
Step-by-step explanation:
Jane is comparing prices of f bottled drinks. She finds one bottle of water that cost $1.92 and contains 12 ounces. She then finds one of the bottle of the soda that costs 2.40 and contains 16 ounces. Whic cost less per ounce
Answer:
the soda is less
Step-by-step explanation:
if you divide both the soda and the waters ounces by their price than you will get 0.15 for the soda and 0.16 for the water showing that its 1 cent more expensive than the soda
for me ots allmost 11 at night please help
Answer:
slope(m)= (9/4) and y intercept =5
Step-by-step explanation:
easy 25 points answer soon please
Answer:
10
Step-by-step explanation:
PLZZ HELP! I will mark brainliest
Sara made a scale model of the Eiffel Tower in France. The actual height of the tower is 1063 feet. Sara's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Sara's model?
Answer:
Look for the bolded words ;'D
Step-by-step explanation:
The proportion setup would be 1/100=x/1063, since youre missing the inches from the actual model. By cross multiplying the equation to get 100x=1063, you'll now need to divide both sides of the equation by 100. This will get you 1063/100 inches, or you can get 10.63 inches by dividing 1063 by 100. You can also get 10 9/25 inches if you simplify the improper fraction...
....lol sorry for taking so long, but have a good day! :'D
Need answer ASAP!!!!
Answer:
4
Step-by-step explanation:
The first triangle has the ratios 10:6:8. The next one has the ratios 5:3:x. If you have paid close attention, you can divide the first one by 2 to get the second one. 8/2 is 4 so the correct answer is 4.
Hope this helps plz mark brainliest if correct :D
What is the domain of the square root function graphed below?
Answer:
Option (4)
Step-by-step explanation:
Domain of a function is a set of x-values (Input values) of the function.
For the given graph of square root function,
x - values starts from x = 0 and tends to x = ∞
Therefore, domain of the function will be,
x ≥ 0
Option (4) will be the correct option.
Which expression is a Product?
A) 8(6 + 3)
8
B) _
(6 +3)
C) 5 (2) + 2(6 x 3)
D) 5(2 + 3) - 4 (8 +1)
Answer:
thats what i got
Step-by-step explanation:
What is the slope no games please i will report!
Fred needs to rent an office building. He needs 10,000 square feet of space. If Tammy found a building to rent that is 81 feet by 102 feet, is this building large enough to meet Fred’s building needs? Explain your answer.
