Answer:
f(g(4) = -11
Step-by-step explanation:
Whenever we are given a composite function where the output of one of the functions serves as an input for the second one, the first step is to evaluate the numerical output from the first function.
Output from first function: g(x) = [tex]x^{2} + x[/tex]
g(4) will be evaluated by substitution 4 for x in the above equation.
this will give us [tex]g(x)=4^{2}+4 =20[/tex]
Output from the composite function f(g(4)
The next stage is to input our results from the function g(4) into the function
f(x) = 9 - x. The output from g(4) which is 20, will now become our input.
[tex]f(x)-9-(20)= -11[/tex]
Therefore f(g(4) = -11
Can someone help me please
Answer:
-60
Step-by-step explanation:
Im smart
How would I find the volume of this triangular prism?
PLEASE HURRY WILL MARK ANSWER AS BRAINLIEST!!!
If f(x) = 2х +6 and g(x) = -8х, what is g(f(4))?
О -448
O-112
О-58
О -14
Answer:
112
Step-by-step explanation:
Answer:
your answer should be B)-112
Step-by-step explanation:
I keep getting different answers. Can somone explain how I would set it all up?
Answer:
MY=80
Step-by-step explanation:
MX=MY ( since M is the midpoint)
2x+10=3x-5
10+5=3x-2x
15=x
MX+MY=MX
2x+10+3x-5=MY
2(15)+10+3(15)-5=MY
MY=80
Is 536 cm greater or less then 53.6 DM
Answer:
536 cm is equal to 53.6 dm
Step-by-step explanation:
Answer:
=
Step-by-step explanation:
On Saturday, the fruit and juice bar was selling 29 glasses of fruit punch an hour. By 7 p.m., they had sold 261 glasses. If their goal was to sell more than 348 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.
Answer:
they did not meet their goal
Step-by-step explanation:
Given f(x) = -5x – 4, solve for x when f(x) = 1.
Answer:
Step-by-step explanation:
-5x - 4 = 1
-5x - 4 = 1
-5x = 5
x = -1
Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 5. How many different sets of 4 digits could it be?
Answer:
800 different sets of digits.
Step-by-step explanation:
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
800 different sets of 4 digit PIN could be made.
The First (single) digit is a factor of 20. So, it is among 1, 2, 4, 5. The other factors 10 & 20 are ignored, as they are 2 digits.So, ways of choosing 1 out of 4 digits = 4 P 1 = 4
The Second digit can be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9So, ways of choosing 1 out of 10 digits = 10 P 1 = 10
Third digit can also be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9So, ways of choosing 1 out of 10 digits = 10 P 1 = 10
The Fourth digit can be amongst only 0 & 1, as the final PIN is divisible by 5.So, ways of choosing 1 out of 2 digits = 2 P 1 = 2
Hence, total number of ways = 4 x 10 x 10 x 2 = 800 ways
To learn more, refer https://brainly.com/question/1216161?referrer=searchResults
105.6 + (-95.3) ! help me show my work !
Answer:
10.3
Step-by-step explanation:
105.6-95.3=10.3
When adding with a number and a negative, you can change the problem to a subtraction problem!!! If the negative is more than the positive, the number will become negative too!!! P.S. Please mark me Brainlist.
Thank you!!!
100 points Write a function g whose graph represents the indicated transformation of the graph of f. f(x) = (1/2)x - 5; reflection in the x-axis a g(x) = (1/2)x - 5 b g(x) = -(1/2)x + 5 c none d g(x) = -(1/2)x - 5 e g(x) = (1/2)x + 5
what is the absolute value of -6
Answer:
6
Step-by-step explanation:
Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write an inequality that would be used to solve for the least amount of money she needs to deposit to avoid a fee. 524.96 − 32.50 + x ≥ 500 524.96 − 32.50 + x ≤ 500 524.96 + 32.50 − x ≥ 500 524.96 + 32.50 − x ≤ 500
Answer:
524.96 − 32.50 + x ≥ 500
Amount need to deposit = $7.54
Step-by-step explanation:
Given:
Amount in checking account = $524.96
Maintain amount = $500
Amount of check = $32.50
Find:
Amount need to deposit
Computation:
Assume, amount need to deposit = x
So,
For avoiding fee
524.96 − 32.50 + x ≥ 500
x = 7.54
Amount need to deposit = $7.54
1
y = -x - 7
2
How do I graph that?
here is the graph for 1 y = -x - 7 2
Answer:
Slope: [tex]-1[/tex]
y-intercept: [tex](0,72)[/tex]
Step-by-step explanation:
[tex]1y=-x-72[/tex]
Look down below for graph.
Hope this helps!
Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7
Answer:
2835x^5.
Step-by-step explanation:
By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.
Term 5 = 7C4 * x^5 * 3^4
= 35 * x^5 * 3^4
= 2835x^5.
Can someone answer this please
Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
Replace all Xs with 3
Can someone help please!!!!!
Answer:
x
[tex] {x}^{2} - 3 [/tex]
Find the formula for the nth term of the sequence: 0,7,18,33,52
Answer:
t(n) = 2n² + n - 3
Step-by-step explanation:
Given sequence:
0, 7, 18, 33, 52Find the formula for nth term t(n)
SolutionSequence is neither arithmetic nor geometric, analyzing:
0, 7, 18, 33, 52First level difference
7, 11, 15, 19Second level difference
4, 4, 4As there are two levels, the formula should be in the form of:
t(n) = an² + bn + cTrying the formula with the known terms:
t(1) = 0 ⇒ a+b + c= 0t(2) = 4a + 2b + c = 7 ⇒ 3a + b = 7t(3) = 9a + 3b + c = 18 ⇒ 3(3a+b) + c = 18 ⇒ 21 + c = 18 ⇒ c = -3Going back to previous equations to find remaining coefficients:
t(1) ⇒ a+ b = 3 ⇒ t(2) = 2a + (a+b) = 7 ⇒2a + 3 = 7 ⇒ a= 2 ⇒ b = 1So the formula becomes:
t(n) = 2n² + n - 3
-3/4=x/26 solve, please .
Answer:
x=39/2 or 19.5
Step-by-step explanation:
(f - g)(x) = (3x - 1) - (x +2)
Solve.
Answer:
(f - g)(x) = 2x - 3
Step-by-step explanation:
If you want the difference between functions f and g, combine the terms within parentheses as follows:
(f - g)(x) = (3x - 1) - (x +2)
= 3x - 1 - x - 2
Combining like terms, we get:
(f - g)(x) = 2x - 3
5. Find the missing data item given the following information.
13, 17, 15, 20, 14, X
Mean = 15
A.11
B.13
C.12
D.14
Answer:
X would represent 11 (choice A.)
Two planes intersect in a___.
•point
•ray
•line
•line segment
At the master Golf Tournament,Tiger Wood score is -3 and Phill Mickleson’s score is -5. Who is in the lead and how many shots?
The space shuttle was launched at 6:45 a.m. on Tuesday morning. It was in space for 6 days, 2 hours, and 16 minutes. At what time did the space shuttle land?
Answer:
The space shuttle landed on Monday morning at 9:01 a.m.
I hope this helps.
True or false: Axioms and postulates are statements that are accepted as true because they have been proven using logic and deductive reasoning. A: this statement is false. Axioms and postulates are statements that are accepted as true without proof. B: this statement is false. Axioms and postulates are statements that have not been shown to be true or false. C: this statement is true. D: this statement is false. Axioms and postulates are statements that are discarded as false because they have been disproved.
Answer:
C: this statement is true
Step-by-step explanation:
Axioms and postulates are statements that are accepted as true because they have been proven using logic and deductive reasoning.
They present themselves as self-evident. These are universally accepted and general truth.============
A: this statement is false. Axioms and postulates are statements that are accepted as true without proof.
False. They have been proven numerous of timesB: this statement is false. Axioms and postulates are statements that have not been shown to be true or false.
False. There are many evidences that they are trueC: this statement is true.
TrueD: this statement is false. Axioms and postulates are statements that are discarded as false because they have been disproved
False. They have not been disprovedPlease help! (Will give brainliest answer and hearts) Thank you and have a nice day!
Answer:
It's D
Step-by-step explanation:
FILL in the blank with a greater than or less than-5___-7
Answer:
-5 > -7
Step-by-step explanation:
Answer: greater than
Step-by-step explanation:
since the two are both negative get the absolute value of each number.
-5=5
-7=7
Which ever one is bigger that is smaller.
-5 would be more than -7
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers. What is the parameter
Answer:
Step-by-specific "yes" or "no" responses to the surveystep explanation:
Grant is painting a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to cover the whole board by using all of his paint, what is the length of the board in feet?
Answer:
l=9 feet
Step-by-step explanation:
area of rectangle=l*w
3=1/3 l
length=9 feet
Please help me Identify the terms, variables, coefficients and constants in each expression
Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function f (x) = StartFraction 10 Over x EndFraction.
Answer:
When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:
A = W*L
In this case we have:
W = x
L = 10/x.
Then the area of the rectangle will be:
A = W*L = x*(10/x) = 10
So the value of x cancels in the equation, which means that we can not find the value of x.
Now, as L = 10/x we can find some restrictions:
if x = 0, we would have L = 10/0
So we can not have x = 0.
And as W = x, this represents a positive measure, we also have that x can not be a negative number.
So the relation:
W = x
L = 10/x
Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.
Answer:
third graph
Step-by-step explanation: