Answers
Domain is [tex]0 \le x \le 12[/tex]
Range is [tex]0 \le y \le 900[/tex]
============================
Explanation:
The smallest x can be is x = 0. The largest x can be is x = 12. This is shown as the left-most and right-most values of the graph. We could have x be anything between 0 and 12, including both endpoints, so we say the domain is [tex]0 \le x \le 12[/tex]. Recall the domain is the set of all allowed x inputs of a function.
---------------------
The range is the set of all possible y outputs. The smallest y output possible is y = 0, and the largest is y = 900. The range is therefore [tex]0 \le y \le 900[/tex] meaning y is between 0 and 900, including both endpoints.
Both domain and range endpoints happen to be at the x and y intercepts. This won't always be the case.
Related Questions
it is 12 degrees colder in the mountains than in the valley. The temperature on the mountain is x. The temperature in the valley is y
Answers
OR
Valley(y)= mountain(x)-12
A is directly proportional to x and inversely proportional to y. If A=20 when x=6 and y=9, what is the value of A when x=9 and y=6?
A) 1/20
B) 30
C) 45
D) 60
Answers
A=45
A=kx/y
where k is constant
substituting the values for k
k= 20×9/6=30
when x=9, y=6
A= 30×9/6=45
What is the third of 45
Answers
Answer:
15
Step-by-step explanation:
A third of 45 is 1/3 multiplied by 45 or 45 divided by 3, which is equal to 15.
Answer:
15
Step-by-step explanation:
45 divided by 3 = 15
Help someone plzzzz!!!!
Answers
Answer:
G.
hope this explanation helps
Step-by-step explanation:
What number is 30% larger than 2000
What number is 30% smaller than 2,600
Answers
Answer:
a) 2600
b) 1820
Step-by-step explanation:
let the number be 'x'
a)
[tex]x = 2000 + \frac{30}{100} (2000)[/tex]
[tex]x = 2000 + 600 = 2600[/tex]
b)
[tex]x = 2600 - \frac{30}{100} (2600)[/tex]
[tex]x = 2600 - 780 = 1820[/tex]
Hope it helps... ;-)BRAINLIEST PLEASEMatch each function name with its equation.
(Look at picture)
Answers
Answer:
a. square root is y = [tex]\sqrt{x}[/tex]
b. linear is y = x
c. cubic is [tex]y = x^3[/tex]
d. quadratic is [tex]y = x^2[/tex]
e. reciprocal squared is [tex]y = \frac{1}{x^2}[/tex]
f. absolute value is y = |x|
g. reciprocal is [tex]y = \frac{1}{x}[/tex]
h. cube root is [tex]y = \sqrt[3]{x}[/tex]
Step-by-step explanation:
Type in the correct answer. What is the slope of line m? On a coordinate plane, a straight line goes through (negative 2, 1), (0, 0), and (2, negative 1).
Answers
Answer:
-0.5 or -1/2
Step-by-step explanation:
The equation for slope is y₂-y₁ / x₂-x₁.
It should work with all of the points given. Any of the 2 points you choose will give you the slope -0.5 or -1/2.
The slope the straight line going through (-2,1) , (0,0) and (2,-1) is -1/2.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
The average slope of a straight line ;
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
So slope associated with two points (-2,1) , (0,0)
⇒ (0 - 1) / (0 + 2)
⇒ -1/2
Since all three points are in a straight line so slope must be the same.
Hence "The slope the straight line going through (-2,1) , (0,0) and (2,-1) is -1/2".
For more about line segment,
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A roller coaster accelerates from an initial speed of 6.0 m/s to a final speed of 70 m/s over 4 seconds. What's the acceleration?
Answers
70m/s-6m/s/4
The answer is 16m/s^2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16 \: m/ {s} \: ^{2} }}}}}[/tex]Step-by-step explanation:
Given,
Initial velocity ( u ) = 6 m/s
Final velocity ( v ) = 70 m/s
Time ( t ) = 4 seconds
Acceleration ( a ) = ?
Finding the acceleration
We know that,
[tex] \boxed{\sf{acceleration = \frac{v - u}{t} }}[/tex]
⇒[tex] \sf{ \frac{70 - 6}{4} }[/tex]
⇒[tex] \sf{ \frac{64}{4} }[/tex]
⇒[tex] \sf{16 \: m/ {s}^{2} }[/tex]
Hope I helped!
Best regards!
Multiply and write your answer in scientific notation.
(4 10%)(2 x 10-5)
Answers
Answer:
Here mate!
Step-by-step explanation:
Enter numbers, scientific notation or E notation.
Scientific Notation: 3.45 x 10^5
E Notation: 3.45e5
HOPE IT HELPS AND IS CORRECT!
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia's altitude at the end of her climb?
Answers
Answer:
5,418.2 feet
Step-by-step explanation:
Nadia is carrying out mountain climbing.
She started climbing the mountain at an altitude of 19.26 feet below the sea level.
Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.
Therefore, Nadia's altitude at the end of her climb can be calculated as follows
= 5,437.8-19.6
= 5,418.2
Hence Maria's altitude at the end of her climb is 5,418.2 feet
Answer:
5,418.2 feet
Step-by-step explanation:
Find the perimeter of a regular hexagon
with side 5cm.
Answers
Answer:
Step-by-step explanation:
Regular hexagon has six equal sides
Perimeter = 5 + 5 + 5 + 5 + 5 +5 or 6*5
= 30 cm
Solve the equation. 56=13+d
Answers
Answer:
d = 43
Step-by-step explanation:
Subtract 13 from each side of the equation. It should now look like this: 43 = dwhy are the southern slopes of mountains warmer than northern slopes?
Answers
Answer:
In the Northern Hemisphere, soil on south-facing slopes dries out faster and is warmer than soil on north-facing slopes due to longer exposure to sunlight – the opposite applies in the Southern Hemisphere.
Step-by-step explanation:
Label the terms, coefficients, constants, and variables of : 4x-7+15z-y+20
Answers
Answer: see below
Step-by-step explanation:
coefficient: the numerical before a variable (3x)
constant: a number that is represented as an individual (5)
variable: any nonnumerical symbols (x)
-------------------
4x-7+15z-y+20
coefficient: 4 (4x), 15 (15z), -1 (-y)
constant: -7, 20
variable: x, y, z
Hope this helps!! :)
Please let me know if you have any question
Can I get some Help please
Answers
Answer:
f(-2) = 2
Step-by-step explanation:
The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.
Simplify: 3(a+b)-2(2a-b)+4a-7a
Answers
Answer:
Hey there!
3(a+b)-2(2a-b)+4a-7a
3a+3b-4a+2b-3a
3b-4a+2b
5b-4a
-4a+5b
Let me know if this helps :)
Answer
[tex] \boxed{ \boxed{ \bold{ \red{ - 4a + 5b}}}}[/tex]
Step by step explanation
[tex] \sf3(a + b) - 2(2a - b) + 4a - 7a[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf3a + 3b - 2(2a - b) + 4a - 7a[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf3a + 3b - 4a + 2b + 4a - 7a[/tex]
Collect like terms
⇒[tex] \sf3a +4a - 4a - 7a + 3b + 2b[/tex]
Since , two opposites add up to zero, remove them from the expression
⇒[tex] \sf3a - 7a + 3b + 2b[/tex]
⇒[tex] \sf - 4a + 5b[/tex]
Hope I helped!
Best regards!!
how to do this question plz answer me step by step plzz plz plz
Answers
Answer:
yes
Step-by-step explanation:
Calculate the circumference (C) using
C = πd ( d is the diameter )
= 180π cm
Each guest needs 70 cm, thus
180π ÷ 70 ≈ 8.078 ← number of guests at 1 table
18 × 8.078 = 145.404 ← number of guests at 18 tables.
There is enough tables to seat 145 guests
Evaluate the expression 6z+5(-2z-7) for z=-1
Answers
Answer:
-31
Step-by-step explanation:
First let's plug in the value of z into the expression as it looks easier than expanding,
6(-1) + 5(-2(-1)-7)
Now we follow the order of PEMDAS,
6(-1) + 5(2-7)
6(-1) + 5(-5)
-6 - 25
-31
I need help on question C only plzzzz
Answers
You need to work out the current UK percentage first.
41. Find the area of the triangle.
a. 30 yd
b. 45 yd
c. 28 yd
d. 60 yd
Answers
Answer:
D
Step-by-step explanation:
Area is found by LxWxH
Answer:
30yd^2Step-by-step explanation:
[tex]Base = 10yd\\Height = 6yd\\\\Area = \frac{1}{2} \times base \times height\\\\A= \frac{1}{2} \times 10 \times 6\\\\A = \frac{60}{2} = \\\\30yd^2[/tex]
Which expression represents x? – 18x + 81 in factored form?
(x + 9)2
(x + 27)(x – 3)
(x – 9)
(x + 9)(x -9)
1
2
3
4 5
Answers
Answer:
[tex](x-9)^{2}[/tex]
Step-by-step explanation:
By factorization, we get ----
[tex]x^{2} -18x+81\\=x^{2} -9x-9x+81\\=x(x-9)-9(x-9)\\=(x-9)(x-9)\\=(x-9)^{2}[/tex]
For which set of data are the median and mode the same number?
5,5, 6, 8, 9, 10
3, 5, 6, 8, 8, 9
4, 5, 7,7,8,10
4, 5, 7, 8, 9,9
Answers
Answer:
The answer is 12
Eleven less than a number (x) is 12.
Answers
Answer: 23
Step-by-step explanation:
eleven less than (x)=x-11
x-11=12
x=23
Every time Luisa bakes a batch of brownies she uses 1/2 cup of chocolate if she has 3/2 cups of chocolate remaining how many batches of brownies can Luisa make
Answers
Answer:
she can make 4 batches of brownies
Step-by-step explanation:
since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more
3+1=4
hope this helps
The batches of brownies can Luisa make is 4 batches.
It is required to find the the batches of brownies can Luisa make.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
3 batches of brownies from 3/2 cups of chocolate left.
Step-by-step explanation:
From the question, we know that:
1/2 cups of chocolate = 1 batch of brownies
3/2 cups of chocolate = x
Cross Multiply
1/2 × x = 3/2
x = 3/2/1/2
x = 3/2 × 2/1
x = 3 batches.
That means she can make 3 more
3+1=4
Therefore, the batches of brownies can Luisa make is 4 batches.
Learn more details about arithmetic here:
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find HCF of 96 and 404 by prime factorization method and find their LCM
Answers
Answer:
HCF of 96 and 404 by prime factorisation method:-
Since, 96 = 2 × 2 × 2 × 2 × 2 × 3
and, 404 = 2 × 2 × 101
So, HCF of 96 and 404 = Product of common prime factors
= 2 × 2 = 4
LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3
= 9696
Step-by-step explanation:
i think i
don't no
Find the distance between the points A(10, –9) and B(8, 7). Round your answer to the nearest hundredth. A
Answers
Answer:
16.12 units
Step-by-step explanation:
distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(8 - 10)² + (7 + 9)²]
d = √[(-2)² + (16)²]
d = √[4 + 256]
d = √260
d = 16.12
Asia contains both the highest and lowest known points on earth. Mt. Everest is a little over 29,000 feet above sea level, and the shore of the Dead Sea is about 1,370 feet below sea level. What is the approximate difference in elevation between the two points?
27,630 feet
28,370 feet
29,370 feet
30,370 feet
Answers
Answer:
30,370 feet
Step-by-step explanation:
The difference in elevations between two points will be 30370 feet.
It is given that Mt. Everest is 29000 feet above sea level and the shore of dead sea is 1370 feet below the sea level.
We have to find out the difference in elevation between the two points.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.
As per the question ;
Height of Mt. Everest from sea level = 29000 ft. above
Height of shore of dead sea from sea level = 1370 feet below
As these both are in opposite directions , i.e., one above sea level and other below sea level , we should add both of these to find the difference in elevations between these two points.
i.e.,
The difference in elevations between two points will be ;
= 29000 + 1370
= 30370 feet
Thus , the difference in elevations between two points will be 30370 feet.
To learn more about algebra click here ;
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The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm minutes filling his pool. What is the volume of water in Eduardo's pool after he fills it for 5 \dfrac145 4 1 5, start fraction, 1, divided by, 4, end fraction minutes?
Answers
Answer:
205 litres
Step-by-step explanation:
Given:
Volume of water is given as:
[tex]V=100+20m[/tex] (in litres)
m is the time in minutes spent filling water in Eduardo's pool.
To find:
Volume of water in the pool after the water is filled for [tex]5\frac{1}{4}[/tex] minutes.
Solution:
Here, volume of water in the Pool (in litres) is given by the equation:
[tex]V=100+20m[/tex] ....... (1)
Where m is the time for which Eduardo fills the pool.
Here, we are also given that
m = [tex]5\frac{1}{4}[/tex] minutes = [tex]\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}[/tex] minutes
And we have to find the value of V after [tex]\frac{21}{4}[/tex] minutes.
Let us put the value of m as [tex]\frac{21}{4}[/tex] minutes in the equation (1) to find the value of V.
[tex]V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}[/tex]
So, the volume of water in the pool after [tex]\frac{21}{4}[/tex] minutes is 205 litres.
7c3d2
Need help finding the degree of the monomial
Answers
Answer:
5
Step-by-step explanation:
7c³d²
This term has tow variables, c and d
Power of c is 3
Power of d is 2
Degree of this monomial is = 3+2 = 5
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 4, 5. Column 2 is labeled y with entries 15, 30, 60, 75. Does this table represent a proportional relationship? 1,15 2,30 4,60 5,75 please answer this question quickly please and thank you
Answers
Answer:
The table represents a proportional relationship
Step-by-step explanation:
Given
x ------ y
1 ------- 15
2 --------30
4 ---------60
5 -------- 75
Required
Determine if the table shows a proportional relationship
To check this, we make use of the following formula;
[tex]k = \frac{y}{x}[/tex]
Where k is the proportionality constant
When x = 1, y = 15
[tex]k = \frac{15}{1} = 15[/tex]
When x = 2, y = 30
[tex]k = \frac{30}{2} = 15[/tex]
When x = 4, y = 60
[tex]k = \frac{60}{4} = 15[/tex]
When x = 5, y = 75
[tex]k = \frac{75}{5} = 15[/tex]
Since the value of k for all values of x and y is the same; i.e. 15
Then, the table represents a proportional relationship
Quick Answer: $5.86
Step-by-step explanation:
Hope it helps!! :)