Here are several function rules. Calculate the output for each rule when you use -6 as the input.
Answers
Answer:
1) -13
2) 36
3) -2
4) -5
5) -6
6) -216
Step-by-step explanation:
The output for the considered rules are: Rule 1: -13, Rule 2: 36, Rule 3: -2, Rule 4: -2, Rule 5: π, Rule 6: 216 cubic cm.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We're given that:
Input = -6Applying all the rules, one by one:
Rule 1: Subtract -7
[tex]\rm \text{inp}ut -7 = -6 -7 = -13[/tex]
Rule 2: Square the input[tex]\rm (\text{inp}ut )^2 = (-6)^2 = -6\times -6 = 36[/tex]
Rule 3: Divide by 3[tex]\rm \dfrac{\text{inp}ut }{3} = \dfrac{-6}{3} = -2[/tex]
Rule 4: Divide the input in 3Dividing something in x parts means that thing divided by x
[tex]\rm \dfrac{\text{inp}ut }{3} = \dfrac{-6}{3} = -2[/tex]
Rule 5: Write π[tex]\pi[/tex] (no use of input).These type of functions which always give same constant result, no matter what the input is, are called constant functions.
Rule 6: Volume of cube with side length as input in cm.Volume of a cube is the cube of its side length (raising it with power 3).
We're specified that:
Side length of the considered cube = input = -6 cm
Since length is a non-negative quantity, so we take absolute value of -6, therefore, we have:
side length of the cube = |-6| = 6 cm
Thus, its volume is:
[tex]V= (\rm side)^3 = 6^3 = 216 \: \rm cm^3[/tex]
Thus, the output for the considered rules are: Rule 1: -13, Rule 2: 36, Rule 3: -2, Rule 4: -2, Rule 5: π, Rule 6: 216 cubic cm.
Learn more about function here:
https://brainly.com/question/2253924
Related Questions
40% of Kim's cookies are chocolate chip flavored. If Kim has 2 chocolate chip cookies, how many cookies does she have total?
A. 5
B. 80
C. 0.8
D. 105
Answers
Answer:
(A) 5 is the answer
Step-by-step explanation:
if 40%=2 then 20%=1 so 20%=1 x 5=100% that means 100%=5
hope it helps
Please just- help please =v=
Answers
Answer:
4
Step-by-step explanation:
a is negative, b is positive, c is negative and d is the opposite of a
What is the answer to 10x+12=8 ?
Answers
Answer:
x=-.4
Step-by-step explanation:
Answer:
x= -0.4
Step-by-step explanation:
You subtract 12 from 8 and get -4. Then you divide by 10 to get -0.4. Therefore, x= -0.4
If the sales tax rate 6.5%, how much sales tax will you pay on a $480 item?
Answers
Answer:
Before Tax Price: $480.00
Sale Tax: 6.50% or $31.20
After Tax Price: $511.20
Step-by-step explanation:
Tax amount:31.20
31.2
Drag each tile to the correct box.
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
Answers
Answer:
same order its in now
Step-by-step explanation:
Simplify the expression so there is only one positive power for the base, -5
-5 power of 7 / -5 power of 2
A. 1/5 power of 9
B. -5 power of 3
C. -5 power of 5
D. 1/5 power of 5
Answers
Answer:
C. -5 power of 5
Step-by-step explanation:
-5 power of 7 / -5 power of 2
Soo, you subtract the exponent 7 by 2 and you are left with 5.
You are thus left with -5 to the power of 5.
Please mark as brainliest if it helped!:)
A scale of a new building was created for approval by the city council. The scale of the model is 5 inches = 24 feet. If the model is 5 feet tall, how tall is the actual building
Answers
Answer:
288
Step-by-step explanation:
5 feet = 60 inches
60/5 = 12
12*24= 288
288
Step-by-step explanation:
This is because you you multiply 5 times 12 because there is 5 feet and 12 inches a foot. That =60 then 5 fits in 60 twelve times so that mean you multiply 12 by 24 because you multiply the inches by how tall the building actually is.
A salesman at T-Mobile earns $12 for each phone he sells as well as an hourly salary of $18. Write and solve an inequality to determine the number of phones he must sell to earn $1000 in a 45-hour week.
Answers
P= (1000-18 times 45) divided by 12
So 1000-810 = 190 divided by 12 equals 15.8
But you can’t sell 15.8 phones so he has to sell 16, I’m bot very good at fighting inequalities so the inequality that I wrote might not be right
Plz answer both questions if works will give brainliest BTW start from the 1st one at the top
Answer 1:
Answer 2:
Answers
Answer 2: C
Answer for question 1: Last table.
Step-by-step explanation: The answer is not the top 2 because the y-intercept is plus 5 not minus 5. Let us now look at the bottom two and calculate if the slope is equal to -2. (Second to last table) 13-9/4-2= 4/2=2. This does not equal -2. Let us look at the last one. 13-17/4-2= -4/2= -2. The last one is the correct answer because it has the y-intercept of 5 and the slope of -2.
Answer for question 2: 4
Explanation: The rate of change formula is y1-y2/x1-x2. Let us take 16-8/1-1/2. This is equal to 4 because 16-8 is 8 and 1-1/2 is 1/2. 8 divided by 1/2 is 4.
select all the simplified expression
Answers
Answer:
1 / 3^5
1/ 243
Step-by-step explanation:
3^4 ÷ 3^9
We know that a^b ÷ a^c = a^ ( b-c)
3 ^ ( 4-9)
3^ -5
We can rewrite this as a^-b = 1/ a^b
1 / 3^5
We know that 3^5 = 243
1/ 243
Answer:
The answer to the question provided is [tex] \frac{1}{243} [/tex] and [tex] \frac{1}{ {3}^{5} } [/tex].
PLS HELP I DONT KNOW WHAT THIS MOSTER IS PLS HELP I DONT KNOW WHAT IT IS SAYING SOLVE IT PLSSSSSSSSSS
Which expression represents a number that is one-fourth as great as 10-2?
Answers
Answer:
(10-2)÷4.
Step-by-step explanation:
We are to select the correct expression that represents a number that is one fourth as great as 10-2.
Let the required number be represented by x.
Then, according to the given information, we have
Thus, the required expression is (10-2)÷4.
Option (B) is CORRECT.
Answer:
10
Step-by-step explanation:
10-2=8
1/4 of 8 = 2
so, 1/4 great as 8 = 8+2 = 10
There are 144 students in 6th grade at Southside Middle School. On the last math test, 64 students received A’s. 48 students received B’s, and the remaining 32 students received C’s. What is the ratio of students who received A’s to the whole class?
Answers
What is the slope of the line shown on the grid?
Answers
Answer:
Where is it?
Step-by-step explanation:
Answer:
wheres the grid?
Step-by-step explanation:
Veronica went to the local convenience store to buy bread, milk, dishwashing liquid, and paper towels. The table below shows the cost for each item, including tax. Veronica gave the cashier a $10.00 bill. The cashier handed her 3 quarters and 4 pennies in change. Veronica thought she should have received more change.
Local Convenience Store Prices
Item Price
Bread $2.19
Milk $2.49
Dishwashing Liquid $0.87
Paper Towel $1.47
Which mathematical explanation best supports Veronica's claim?
F.
The cashier did not scan the dishwashing liquid.
G.
The cashier scanned the bread twice.
H.
The cashier scanned the milk twice.
J.
The cashier handed out 4 pennies instead of 4 dimes.
Answers
F.
Step-by-step:
She wanted bread ($2.19), milk ($2.49), dishwashing liquid($0.87), and paper towels($1.47).
$2.19
$2.49 $10.00 - $7.34 = $2.66
$0.89 - $0.79
+ $1.47 ————
————- $1.87
$7.34
can anyone help? (whoever is right gets marked brainiest
Answers
Answer:
144
Step-by-step explanation:
Answer:
area of trapezium is equal
A=a+b *h
2
69.6
area of the triangle is equal to L * B
12.4 *6
74.4
then area of whole figure = area of trapezium + area of rectangle
74.4 +69.6
144
Lin’s class has also adopted some sections of highway to keep clean. If 1 1/2 sections are 3/4 mile long, how long is each section?
Answers
In each section 2/3 miles is covered.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
If 1 1/2 (3/ 2) sections are 3/4 mile long.
So, in one section = 3/4 ÷ ( 3/2)
= 3/4 x 2/3
= 2/3
Hence, In each section 2/3 miles is covered.
Learn more about unitary Method here:
https://brainly.com/question/22056199
#SPJ2
algebra 1 ty brainilest if correct
Answers
I am going to ask 4 questions im sorry...
Answers
Answer:
4/5 divided by 1/2 = 6/5 = 1 1/5
4/5 divided by 1/2 is the same as
5/4 x 1/2
so it’s 5/8
When a coefficient is side by side with a variable it means to _______
Example: 4z
Answers
Answer:
After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable
During the Cold War, what two types of governments were dominant in Western Europe and Eastern Europe? Define what both types of government mean.
Answers
Answer:
Western Europe promoted capitalist democracies. Eastern Europe came under the Communist influence of the Soviet Uniion.
Step-by-step explanation:
Divide, write awswer in simplest form
2 and 7/9 divided by 2
Answers
Answer:
1.388
Step-by-step explanation:
2 7/9 / 2 =
7/9 = 0.777
2 7/9 = 2.777
2.777 / 2 = 1.388
105 = 4x
please your work like this :
m−9+9=11+9
m=20
Answers
Answer:
Answer:
26.25
Step-by-step explanation:
105 = 4x
4x = 105
x = 105/4
x = 26.25
Solve.
−0.55p − 7 = 0.45p
The solution is p =
HELPP PLZ
Answers
Answer:
p=-7
Step-by-step explanation:
-0.55p-7=0.45p
-7=0.45p+0.55p
-7=p
Find the slope
Can someone please explain how to do this I don't really understand please and thank you
Answers
When doing slope you always want to do rise over run. Slope= y2-y1/ x2- x1.
So what you want to do is find your two pretty points on the graph! Meaning where the point is exactly on those little corners!
So if we start you can see you rise 2 spaces up before you’re vertical to your next pretty point. Next you want to RUN to the next one which would give you 4!
This being said you’re slope is 2/4 but you want to make sure you simplify if you can! In this case you can do it’ll give 1/2!
Again I haven’t done this in a while and I apologize if this is wrong! Hope this helps!
Aleena, a student, is going to complete a final exam next week. The exam has 30 questions. The teacher's recommendation is that students take between 2 and 2.5 minutes per question. If a student follows the teacher's recommendation, about how much time will it take Aleena to complete the exam?
A. Between 30 and 45 minutes
B. Between 20-30 minutes
C. Between 10-15 minutes
D. Between 60 and 75 minutes
Answers
Describe where these numbers are located on the number line: 1.5, -3, -212
Answers
Answer:
-212 , -3 , 0 , 1.5
Step-by-step explanation:
Thats my little numberline but if this helps the 1.5 goes to the right of the 0 and the -3 and -212 go left of the zero :)
how to calculate the measure of center with an example question
Calculate the measure of center for the data on the dot plot, rounding your answer to the nearest tenth place.
Box plot is below
Answers
Answer:
3
Step-by-step explanation:
can u HEEEEELP PLSssss
Answers
Answer:
13/4, 3 1/4, or 3.25
Step-by-step explanation:
Answer:
13/4 OR 3 1/4
please help WILL GIVE BRAINLIEST!
Answers
Answer:
13 ish
Step-by-step explanation:
x is botem
y is top
yall know the drill.
Answers
Answer:
The answer is 29/8
Hoped this helped you!
