Answers
Domain = {-3, 2}
Range = All real numbers
We can represent the range in interval notation as [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < y < \infty[/tex]. The range is all real numbers due to the arrows meaning the graph extends up and down forever. So any y value is possible.
Notice with the domain we only have 2 valid x values -3 and 2. No other x values are allowed. Normally we use an interval of some kind to set up the domain, but we only have a set of values instead. The curly braces indicate "set".
Related Questions
What is the final point of (-2,1) Up 4, right 6 then reflect across the x-axis
Answers
Solve for x. Show steps.
1. 3x = 2x + 2
2. 3x + 5 = 4x + 1
3. 6x + 3 = 3x + 12
Answers
Answer:
1: x=2, 2: x=4, 3:x=3
Step-by-step explanation:
They are correct because i checked them
The lines shown below are parallel. If the green line has a slope of -17, what is the slope of the red line?
Answers
Answer:
it would be 17
Step-by-step explanation:
A book store sells 10 cookbooks, 18 novels, and 25 children's books on
Saturday. The store sells 6 cookbooks, 12 novels, and 15 children's books on
Sunday. Which ratio is the smallest?
A. Number of novels to children's books sold on Sunday
B. Number of cookbooks to novels sold on Sunday
O C. Number of cookbooks to novels sold on Saturday
D. Number of novels to children's books sold on Saturday
Answers
Answer: d
Step-by-step explanation:
A = 18:25 = 1:1.39
B = 6:12 = 1:2
C = 10:18 = 1:1.8
D = 12:15 = 1:1.25
The smallest ratio is D.
sorry if it's wrong!
Answer:
Step-by-step explanation:
easy - lots of points!!
For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)
Answers
Answer:
2x² + 9x + 9
Step-by-step explanation:
To evaluate f(x + 3) substitute x = x + 3 into f(x), that is
f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL
= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis
= 2x² + 12x + 18 - 3x - 9 ← collect like terms
= 2x² + 9x + 9
A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?"
Let c represent the number of cows.
Which equation represents the situation?
c + 2 = 16
2c−2=16
2c + 2 = 16
2(c+2)=16
Answers
Answer: 2c + 2 = 16
Step-by-step explanation:
One group has 2 more than the other.
That means in total, they are the same but + 2.
Only 2c + 2 = 16 represents this.
If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.
Answers
Hi
7 = 14.70
15= X
so : X = 15*14.70 /7 = 31.5
15 liters of petrol cost 31.5
The cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50
To calculate the cost of 15 liters of petrol if 7 liters of petrol cost $14.70,
First, we will determine the cost of 1 liter of petrol.
From the question,
7 liters of petrol cost $14.70
That is,
7L = $14.70
Then,
1 L = $14.70 ÷ 7
1 L = $2.10
∴ The cost of 1 liter of petrol is $2.10
Now, for the cost of 15 liters of petrol, we will multiply the unit price ($2.10) by 15
That is,
The cost of 15 liters of petrol = 15 × $2.10
∴ The cost of 15 liters of petrol = $31.50
Hence, the cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50
Learn more here: https://brainly.com/question/23804367
For a right triangle with coordinates (1,4),(4,4),(1,8), explain why both the distance formula and the Pythagorean Theorem can be used to find the length of the hypotenuse.
Answers
determine the domain and the range of the relation.
(-3,1), (4,2), (-3,6), (5,6)
Answers
Answer:
Domain (-3, 4, 5)
Range (1, 2, 6)
Step-by-step explanation:
Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).
Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).
So, basically you just look at all the number that come first so say you have
(1,2), (2,3), (3,4)
Your first numbers to each point are (1, 2, 3) which is your Domain
then look at the second number which are (2, 3, 4) which is your Range.
Hope this helps!
Order these numbers from least to greatest. 37.5%, 1/3, 0.3, 40%, 3/5.
Answers
Answer:
0.3, 1/3, 37.5%, 40%, 3/5Step-by-step explanation:
Given the numbers 37.5%, 1/3, 0.3, 40%, 3/5, before we can order the numbers from the least to greatest, we need to first express al the values in percentage.
For 1/3;
= 1/3 * 100
= 100/3
= 33.3%
For 0.3:
= 0.3 * 100
= 3/10*100
= 30%
for 3/5;
= 3/5 * 100
= 300/5
= 60%
Hence the numbers in percentage are . 37.5%, 33.3%, 30%, 40%, 60%
The values from the least to the greatest in terms of percentage is 30%, 33.3%, 37.5%, 40%, 60%
In term of the given values from least to greatest is;
0.3, 1/3, 37.5%, 40%, 3/5
An airline charges $150 for a ticket and $20 for each bag. Which equation shows the relationship between the number of bag, b , and the total cost, c , for flying with this airline?
Answers
Answer:
c = 150 + 20b
Step-by-step explanation:
Given:
Ticket charges = $150
Each bag carry cost = $20
Find:
Relationship between bag(b) and cost(c)
Computation:
⇒ Total cost = Ticket charges + $20(number of bags)
⇒ c = 150 + 20(b)
⇒ c = 150 + 20b
How many solutions are there to the equation below? -46 = 3x + 7 x
Answers
Answer:
One
Step-by-step explanation:
7x+3x= - 46
10x= - 46
x= - 4.6
one answer
Cynthia Besch wants to buy a rug for a room that is 29 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 756 square feet of carpeting. What dimension should the rug have?
Answers
Answer:
Dimensions of rug:
Length = 28 ft
Width = 27 ft
Step-by-step explanation:
The given dimensions of the room is:
Length = 30 ft
Width = 29 ft
Area of carpeting = 756 sq ft
Kindly refer to the attached image.
Let the uniform strip around floor is of length = [tex]x[/tex] ft
This [tex]x[/tex] feet will be 2 times along the length and
2 times along the width of room.
So, length of rug = 30 -2 [tex]\times[/tex] [tex]x[/tex] and
Width of rug = 29 -2 [tex]\times[/tex] [tex]x[/tex]
It will be rectangular in shape.
Area of a rectangle is given as:
[tex]A = Length\times Width[/tex]
[tex]756 = (30-2x) (29-2x)\\\Rightarrow 756 = 870 - 118x+4x^2\\\Rightarrow 4x^2-118x+114=0\\\Rightarrow 2x^2-59x+57=0\\\Rightarrow 2x^2-57x-2x+57=0\\\Rightarrow x =1, -\dfrac{57}{2}[/tex]
Negative length not possible.
So,Length of strip, [tex]x = 1\ ft[/tex]
Dimensions of rug:
Length = 30 -2 = 28 ft
Width = 29 -2 = 27 ft
If 17% of gummy bears are red then how many red gummy bears will be red out of 300?
Answers
Answer: 51
Step-by-step explanation:
17% of 300 is 51
300 x .17 =51.
5x - 9 = 7x + 6 - 2x
Answers
Answer:
Step-by-step explanation:
5
x
−
9
=
7
x
+
6
−
2
x
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
7
x
+
6
−
2
x
=
5
x
−
9
Subtract
2
x
from
7
x
.
5
x
+
6
=
5
x
−
9
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
6
=
−
9
Since
6
≠
−
9
, there are no solutions.
No solution
Answer:
x=15
Step-by-step explanation:
5x-9=7x+6-2x
7x-2x=5x
5x-9=5x+6
5x-5x=x
x-9=6
9+6=15
x=15
please help, it’s a test and i don’t understand PLSPLS I HAVE LESS THAN AN HOUR!!!!
Answers
Answer:
1. obtuse
2. straight
3. acute
4. 62°
5. 72° ( I think, I'm not too sure on this one)
3) A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients. A) 34 clients B) 41 clients C) 73 clients D) 36 clients
Answers
Answer:
A) 34 clients
Step-by-step explanation:
From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:
75*45%= 33.75→ 34
According to this, the answer is that the number of business clients is 34.
Simplify the problem using the distributive property.
2(3x-5)
4- 3(x+1)
Answers
Answer:
2(3x−5)(4)−3(x+1)
Distribute:
=24x+−40+(−3)(x)+(−3)(1)
=24x+−40+−3x+−3
Combine Like Terms:
=24x+−40+−3x+−3
=(24x+−3x)+(−40+−3)
=21x+−43
Answer:
=21x−43
2(3x-5)
6x-10
4-3(x+1)
4-3x+1
-3x+1+4
-3x+5
6x-10-3x+5
6x-3x+5-10
3x-5
hope it helps!
angle a measure 28 measure and angle b measure 74 what is is the measure of angel F
Answers
Answer:
78 degrees
Step-by-step explanation:
Assuming you are talking about a triangle, you would add 28 and 74 to get 102. Then subtract from 180.
28+74=102
180-102=78
Hope this helps :-)
Answer:
Assuming these are angles of a triangle, angel F should equal 78.
Step-by-step explanation:
All angles of any triangle add up to 180 degrees. 180-28-74=78.
48/16 divided by 18/24
Answers
Answer:
4
Step-by-step explanation:
3/.75=4
Answer:
4
Step-by-step explanation:
48/16 equals to 3. 18/24 equals to 3/4 or 0.75. 3 divided by 0.75 equals to 4
can y’all please help meeeee
i would really appreciate it :)
Answers
Answer:
its 10
Step-by-step explanation:
Answer:
[tex]f^{-1}[/tex](x) = (x - 2)² - 6
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )
y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )
(y - 2)² = x + 6 ( subtract 6 from both sides )
(y - 2)² - 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = (x - 2)² - 6
4(3x-1) = 5x+66 show all of your work
Answers
PLEASE ANSWER THE FOLLOWING 4 QUESTIONS PLEASE BE HONEST
Answers
Answer: Answer
Step-by-step explanation:
The Blue One- 85
The Red One- 47
The Green One- 48
The Pink One- There were 6 penguins swimming in the sea. Two left, then 5 joined. How many penguins are there swimming in the sea now?
6 - 2 + 5 = x
Please let me know if my Math is correct!
what is the answer (2x + 6) = c
Answers
Answer:
X=3
C=12
Step-by-step explanation:
(2x+6)=c
2x+6
x=2/6
x=3
2x3+6=c
c=12
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x= c/2-3
A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6 LaTeX: 7\:=\:t\:+37 = t + 3 Justification: ? like terms
PLEASE ANSWER!!
Answers
Answer:
t + 3
Step-by-step explanation:
Calculate the number of latex
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explain how to factorise i,j and n
Answers
Explanation:
I).
(x+5)^2 - 16 = 0
It’s in a form of: a^2 - b^2 = (a-b)(a+b)
(x + 5)^2 - 4^2 = 0
(x + 5 - 4)(x + 5 + 4) = 0
(x + 1)(x + 9) = 0
J.
(x - 4)^2 - 9 = 0
Same form: a^2 - b^2 = (a-b)(a+b)
(x - 4)^2 - 3^2 = 0
(x - 4 - 3)(x - 4 + 3) = 0
(x - 7)(x - 1) = 0
n).
(2y + 7)^2 - y^2 = 0
(2y + 7 - y)(2y + 7 + y) = 0
(y + 7)(3y + 7) = 0
Answer:
see explanation
Step-by-step explanation:
A difference of squares is factored in general as
a² - b² = (a - b)(a + b)
(i)
(x + 5)² - 16 ← is a difference of squares, that is
(x + 5)² - 4²
= (x + 5 - 4)(x + 5 + 4)
= (x + 1)(x + 9)
(j)
(x - 4)² - 9 ← is a difference of squares, that is
(x - 4)² - 3²
= (x - 4 - 3)(x - 4 + 3)
= (x - 7)(x - 1)
(n)
(2y + 7)² - y² ← is a difference of squares
= (2y + 7 - y)(2y + 7 + y)
=(y + 7)(3y + 7)
jon used 64.6 of fower to make 8 loafs bread. how much flower did he use to make each loaf of bread
Answers
Answer:
8.075
Step-by-step explanation:
Since john used the flour on 8 different loafs, the best way to solve this would be to use division. You did not specify lbs or any other weight so that's the only answer I can provide.
A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the
function f(x) = - x4 + 3x3 + 5x2 + 20x + 1.
What is the least number of bouquets that must be sold for the store to make a profit?
3
4
5
6
Answers
Answer:
5
Step-by-step explanation:
Edgunity
Answer:
5 C
Step-by-step explanation:
even though the zeros are .401 and 4.819 its a real world problem and would only make sense to round. Once u round you have 1 and 5, and since 5 is greater, it must be 5.
if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?
Answers
Answer:
If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.
Hope this helps!
Prompt: What does Lincoln hope to gain by using the statement, "let us judge not, that we be not
judged"? Justify your answer and support it with information from the source.
Help!!!!!
Answers
Possible Answer:
"Let us Judge not, that we be not judged" I belive it means to not judge others by there Race, Relgion, or Color.