D. The function {(4,1), (-7,0), (-12,2), (0,0), (-12,1)} has the given domain {-12, -7, 0, 4, 12} and range { 0, 1, 2}.
What is domain and range ?The domain is the set of all inputs which has an output or range.The range of a function is the set of all outputs form which the domain is defied.
According to the given question domain and range of a function are given they are { -12, -7, 0, 4, 12 } and { 0, 1, 2 }.
This can be written an an ordered pair as { (-12,0), (-12,1), (-12,2), (-7,0), (-7,1), (-7,2), (0,0), (0,1), (0,2), (4,0), (4,1), (4,2), (12,0), (12,1), (12,2) }.
From the given options we can observe that in option D. which has ordered pairs { (4,1), (-7,0), (-12,2), (0,0), (-12,1) }.
learn more about domain and range here :
https://brainly.com/question/28135761
#SPJ1
Triangle ABC is translated 6 units to the left and 1 unit up to create
Answer:
can you add a picture of the triangle
Step-by-step explanation:
help with this pls explain how to calculate this in a calculator for brainliest
Answer:
Step-by-step explanation:
7. Match each polynomial with its end behavior. Some end behavior options may not have a
matching polynomial.
A. f(x)=2x² + 3x + x²-1
B. f(x)=1-3x + x²
C. f(x)=9+x¹
D. f(x) = 2x+5
1. As x gets larger and larger in either the positive or negative direction, f(x) gets larger and
larger in the positive direction.
2. As x gets larger and larger in the positive direction, f(x) gets larger and larger in the
positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and
larger in the negative direction.
3. As x gets larger and larger in the positive direction, f(x) gets larger and larger in the
negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and
larger in the positive direction.
4. As x gets larger and larger in either the positive or negative direction, f(x) gets larger and
larger in the negative direction.
End behavior of the polynomials f(x) = 2x² + 3x + x² - 1 and f(x) = 1 - 3x + x² is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.
How to describe the end behavior of a Polynomial?
A) We are given the polynomial; f(x) = 2x² + 3x + x² - 1
This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.
B) We are given the polynomial; f(x) = 1 - 3x + x²
This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.
C) We are given the polynomial; f(x) = 9 + x¹
This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.
D) f(x) = 2x + 5
This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.
Read more about End behavior of Polynomial at; https://brainly.com/question/1365136
#SPJ1
Madelyn Logan is an office furniture dealer who earns a $19,000 base salary. She also earns a 4% commission on
sales. How much must she sell to earn a total of $58,000
The total sales done by Madelyn Logan is $975,000.
What is defined as the commission on sales?Sales commission is an important component of sales compensation. It is the value of the money earned by a salesperson in relation to the number of sales made. This is extra money that often supplements a regular salary.Madelyn Logan earns $58,000 in total.
Madelyn Logan's total commissions are;
$58,000 - $19,000 (base salary) = $39,000.
That is, $39,000 equals 4% of her sales.
So,
0.04x = $39,000, in which x would be the total sales amount.
Then, x = $39,000 /0.04
x = $975,000.
Therefore, Madelyn Logan must sell the goods of worth $975,000. for making the amount of $58,000.
To know more about the commission on sales, here
https://brainly.com/question/24951536
#SPJ9
HELP ME PLEASE! ILL GIVE EVERYTHING JUST ANSWER CORRECRTLY PLEASE!
Which expression is equivalent to (5x−5y3)−2?
−25x10y6
negative quantity 25 times x raised to the tenth power end quantity over y raised to the sixth power
x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity
1 over quantity 25 times x raised to the tenth power times y raised to the sixth power end quantity
Answer:
It should be negative quantity 25 times x raised to the tenth power end quantity over y raised to the sixth power
Step-by-step explanation:
The other options have operations that don't match with the answer so it can't be them
A boy who is 6 feet tall casts a shadow 3
feet long. A tree that he is standing beside
casts a shadow 15 feet long.
SIL.
3 ft
15 ft
What is the height of the tree?
Answer in units of ft.
Answer:
30
Step-by-step explanation:
We can use similar triangles. Letting the height of the tree be x,
[tex]\frac{x}{15}=\frac{6}{3} \\ \\ x=30[/tex]
5/6-4/5 in simplest form
Answer:
1/30
Step-by-step explanation:
5/6 - 4/5
= 25/30 - 24/30
= 1/30
[tex]~\frak{Tsyaa01:)}[/tex]
If it takes three robots 17 hours to mow vast lawn how many robots would be needed to mow it under three hours
Answer:1/4 of robot
Step-by-step explanation:
What value of p makes the following equation true? p−9=−5(p−3)
The value of p that makes the equation true is 4
How to calculate the value of p ?
p-9= -5(p-3)
p-9 = -5p + 15
collect the like terms
p + 5p= 15 + 9
6p= 24
Divide both sides by the coefficient of p which is 6
6p/6= 24/6
p= 4
Hence the value of p that makes the equation true is 4
Read more on equation here
https://brainly.com/question/18507808
#SPJ1
Given that 4x4-12x³-b²x²-7bx-2 is exactly divisible by 2x + b,
(i) show that 3b³ +7b²-4 = 0,
(ii) find the possible values of b.
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry club wants to spend at most $59 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t.
The set of numbers which represents the possible number of hours for which the chemistry club could rent the meeting room is; t <= 10 hours.
What is the possible number of hours for which the chemistry club could rent the meeting room?It follows from the task content that the possible number of hours for which the chemistry club could rent the meeting room is to be determined.
Since the linear inequality which represents the situation in discuss can be written as follows;
4(t) +19 <= 59
where t = number of hours.
Solving the inequality, we have;
4t <= 59 - 19
4t <= 40
t <= 10 hours.
Ultimately, The set of numbers which represents the possible number of hours for which the chemistry club could rent the meeting room is; t <= 10 hours.
Read more on inequalities solution;
https://brainly.com/question/24372553
#SPJ1
Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
In the graph the Inefficient point of production is represented by the point A , option(a)Point A is correct .
The graph given in the question is for Skateboards vs Bikers.
we need to find the point which represents the Inefficient point of Production.
The points in the Production Possibility Curve are said to be inefficient when the resources are not utilized to the fullest.
The given Production possibility curve between the Skateboards and the Bikers have Point A as the Inefficient Point .
Therefore , the point A represents the Inefficient point of production in the given Production possibility curve , the correct option is (a)Point A.
Learn more about Inefficient Point Of Production here
https://brainly.com/question/8103430
#SPJ1
use pescals triangle to completely expand (3x-1)^4
The Pascal's Triangle expansion of (3 x-1)^4 is mathematically given as
[tex]$$\begin{aligned}&1(3 x)^4(-1)^0+4(3 x)^3(-1)^1 +6(3 x)^2(-1)^2+4(3 x)^1(-1)^3 +1(3 x)^0(-1)^4\end{aligned}$$[/tex]
This is further explained below.
What is Pascal's Triangle of (3 x-1)^4?Generally, the equation for the expansion is mathematically given as
(3 x-1)^4
Pascal's Triangle can be displayed as such:
1
1-1
1-2-1
1-3-3-1
1-4-6-4-1
The triangle can be used to calculate the coefficients of the expansion of (a+b)^n by taking the exponent n and adding 1 .
The coefficients will correspond with line n+1 of the triangle.
For (3 x-1)^4, n=4 so the coefficients of the expansion will correspond with line 5.
The expansion follows the rule
(a+b)^n=c_0 a^n b^0+c_1 a^{n-1} b^1+c_{n-1} a^1 b^{n-1}+c_n a^0 b^n
The values of the coefficients, from the triangle, are $-4-6-4-1.
[tex]$1 a^4 b^0+4 a^3 b+6 a^2 b^2+4 a b^3+1 a^0 b^4$[/tex]
Substitute the actual values of a 3 x and b-1 into the expression.
[tex]$$\begin{aligned}&1(3 x)^4(-1)^0+4(3 x)^3(-1)^1 +6(3 x)^2(-1)^2+4(3 x)^1(-1)^3 +1(3 x)^0(-1)^4\end{aligned}$$[/tex]
Read more about Pascal's Triangle
https://brainly.com/question/26134164
#SPJ1
help asap math question
The two equations that represent the remaining angle relationships are
x = 2(y + z) - 20 and x = 3z - 20
Writing equationsFrom the question, we are to determine the two equations that represent the remaining angle relationships
From the given information, we have that
x is the largest angle, y is the next largest angle and z is the smallest angle
Also, from the information,
"The measure of the largest angle is 20 degrees less than twice the sum of the measure of the other two angles"
That is,
x = 2(y + z) - 20
and
"The largest angle is 3 times the smaller angle minus 20 degrees"
x = 3z - 20
Hence, the two equations that represent the remaining angle relationships are x = 2(y + z) - 20 and x = 3z - 20
Learn more on Writing equations here: https://brainly.com/question/8320294
#SPJ1
Please help me with this question.
Answer:
[tex]12 \frac{1}{4} [/tex]
Step-by-step explanation:
Put the whole numbers into the fraction
[tex] \frac{7}{2} [/tex]
Multiply 7/2 by 7/2
[tex]\frac{49}{4}[/tex]
You can simplify by making whole numbers with the fraction.
[tex]12 \frac{1}{4} [/tex]
f(X) is the solid line graph below. G(X) is the dashed line below.
On what interval of x is f(X) increasing?
On what interval of x is f(X) decreasing?
In the graph, [tex]f(x)[/tex] is increasing in the interval (-7, -5).
What is a graph in mathematics?
A graph is a graphic that uses a line or a sequence of bars, dots, or other symbols to depict a connection between two variables, most typically sets of numbers. Whatever else is in your graph, you can't construct it without scales. A vertical scale and a horizontal scale are used in bar graphs.
From the given graph, it can be concluded that
[tex]f(x)[/tex] is increasing in the interval (-7, -5)
[tex]f(x)[/tex] is decreasing in the interval (2, 10)
To know more about graphs, click on the link
https://brainly.com/question/16509927
#SPJ1
How would you go about putting this into a calculator? It keeps saying 0 or error
I have a TI-30XS and a CATIGA CS-121
p=A/(1+rt) for r pls help me
The solution of the equation P = A/(1 + rt) for r is r = (A/P - 1)/t
How to solve the equation for r?The equation is given as
P = A/(1 + rt)
Multiply both sides of the equation by (1 + rt)
So, we have
P(1 + rt) - A
Divide both sides by P
So, we have
1 + rt = A/P
Subtract 1 from both sides
rt = A/P - 1
Divide by t
r = (A/P - 1)/t
Hence, the solution of the equation P = A/(1 + rt) for r is r = (A/P - 1)/t
Read more about equations at
https://brainly.com/question/2972832
#SPJ1
bor
4. FIGURINES Pete and Rhonda paint figurines. They
can both paint 8 figurines per hour. One day, Pete
worked 6 hours while Rhonda worked 9 hours. How
many figurines did they paint that day? Show how to
get the answer using the Distributive Property.
Answer:
Together they painted 120 figurines.
Step-by-step explanation:
8(6+9)=
8(6) + 8(9) =
48 + 72
120
Given the following formula, solve for a.
s=a+b+c/2
We can rearrange it to the standard form perimeter a = s - b - C/2
In arithmetic, what is a perimeter?
The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
The answer to your question is a = s - b - C/2
To solve for "a", we must get "a" on it's own side of the equal sign. We can first subtract "s" from both sides:
0 = a + b + C/2 - s
Then, we can subtract a from both sides:
-a = b + C/2 - s
Finally, we divide both sides by -1, so a is by itself.
a = -b - C/2 + s
And we can rearrange it to the standard form:
a = s - b - C/2
Learn more about perimeter
brainly.com/question/6465134
#SPJ9
An auto company's sales volume can be modeled by 7.8x? + 3.2x + 3.5, and its cost
can be modeled by 3.4x2 - 0.8x + 3.5, where o represents the number of cars
produced, and y stands for money in thousand dollars. We can calculate the company's
net profit by subtracting cost from sales. Find the polynomial which models the
company's sales in thousands of dollars.
The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
Sales volume for an auto manufacturer may be calculated as 7.8x² + 3.2x + 3.5 and costs as 3.4x² - 0.8x + 3.5.
The net profit by subtracting cost from sales will be
Net profit = (7.8x² + 3.2x + 3.5) - (3.4x² - 0.8x + 3.5)
Net profit = 7.8x² + 3.2x + 3.5 - 3.4x² + 0.8x - 3.5
Net profit = 4.4x² + 4x
The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.
More about the profit is given below.
https://brainly.com/question/15036999
#SPJ1
Cronus and Zeus are two competing cell phone companies. Cronus charges a flat rate of $8 per GB
of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays
regardless of how much data they use. You expect to use between 0 GB and 8 GB of data each
month.
Part A: Graph the cost function associated with each company for data usage between 0 GB and 8
GB. Choose an appropriate scale for your graph.
The graph of the cost function is
Cost function refers to the functional relationship between cost and output. It studies the behavior of cost at different levels of output when technology is assumed to be constant.
Given: There are two companies Cronus and Zeus. Cronus charges a flat rate of $8 per GB of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays. You expect to use between 0 GB and 8 GB of data each month.
Let y be the cost for data consumed.
Let x be Gb of data consumed.
Cost function of Cronus is y = 8x
Cost function of Zeus is y = 10+3x
Graph of both the companies is
where green line denotes the graph for Cronus and red line denotes the graph for Zeus.
To know more about cost function, visit: https://brainly.com/question/24020943
#SPJ9
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Answer:
Domain: (-infinity, 5]Range: [-6, infinity]Pleas help me with this im trying to figure it out open the picture please
Answer:
21 because if you can add like terms
x+4y=z=-7
2xy + 2z = 15
-3x+y=3z = -22
Answer:
x-4303
Step-by-step explanation:
solve for x, showing all your steps using inverse operations
5-4x=-19
Answer:
x = 6
Step-by-step explanation:
5 - 4x = -19
-5 -5
-4x = -24
divide both sides by -4
x = 6
to check your work- plug in 6 for x.
Hope this helps!
Also- I am not entirely sure what inverse operations is in terms of algebra but I hope what I did is right!
Assume running consumes 111 Calories per mile. If you run 7-minute miles, what is your average power output, in watts?
By changing units from calories per minute to watts, we conclude that your power output is 1.11 Watts.
How to get the average power output?
Power is the ratio between energy consumed and the time in which it was consumed.
Here we know that you consume 111 calories per mile, and you run a mile in 7 minutes, then your power is:
P = (111 cal)/(7 min) = 15.86 cal/min
Now, we know that:
1 watt = 14.33 cal/min
Then we can rewrite our power as:
P = 15.86 cal/min = (15.86/14.33) W = 1.11 W
Your power output is 1.11 watts.
If you want to learn more about changes of units:
https://brainly.com/question/7716790
#SPJ1
What is the best math equation that I may need every time?
Ezra and his wife’s monthly payment includes $2,165.61 for principal and interest, as well one twelfth of the annual property taxes of $6,478.50 and one twelfth of the annual insurance premium on the property of $2,186. What is their total monthly payment?
Using proportions, it is found that their total monthly payment is of $2,887.37.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
For this problem, the payments are given as follows:
$2,165.61 for principal and interest.1/12 = 0.0833 of $6,478.50 for taxes.1/12 = 0.0833 of $2,186 for insurance.Hence:
2165.62 + 0.0833 x 6478.5 + 0.0833 x 2186 = $2,887.37
Their total monthly payment is of $2,887.37.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Given that f(x) = x + 3
a) Find f(2)
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
In the above question, it is given that :
[tex]\qquad \sf \boxed{ \sf f(x) = \frac{x + 3}{2} }[/tex]
A.) Find f(2) :
[tex]\qquad \sf \dashrightarrow \: f(2) = \dfrac{2 + 3}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: f(2) = \dfrac{5}{2} [/tex]
or
[tex]\qquad \sf \dashrightarrow \: f(2) = 0.5[/tex]
B.) Find [tex]{ \sf {f}^{-1}(x) } [/tex] :
[tex]\qquad \sf \dashrightarrow \: let \: y = f (x) [/tex]
so, we can write it as :
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{x + 3}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2y = x + 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 2y - 3[/tex]
Now, put x = [tex]{ \sf {f}^{-1}(x) } [/tex], and y = x and we will get our required inverse function ~
[tex]\qquad \sf \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3[/tex]
C.) Find [tex]{ \sf {f}^{-1}(12) } [/tex] :
[tex]\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3[/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 36- 3[/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 33[/tex]
