Answers
Answer:
Month: no
(13,33)…. Yes
Time,distance: yes
(1,2)… no
Age, shoe size: no
(x,y) yes
Step-by-step explanation:
Step-by-step explanation:
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).
First row:
Months (input) and Days (output) = not a function. The month of February has two corresponding outputs: Days of 28 and 29.
{(13, 33), (17, 25), (22, 22), (25, 17), (33, 17)} = this relation is a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).
Plot of Distance (mi) vs. Time (h): the graph represents a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).
Second row:
{(1, 2), (5, 2), (5, 4), (7, 6), (11, 6), (11, 8)}: this relation is not a function. The input value of 5 has two corresponding output values: 2 and 4. The same goes with the input value of 11, which has two output values of 6 and 8.
Table of Age (x) and Shoe Size (y): does not represent a function. The x = 15 has two corresponding y-values: 10 and 10.5.
Diagram of x and y (bottom-left corner): this relation represents a function. Each input value corresponds to exactly one output value.
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Related Questions
HELP PLEASE. which equation describes a line parallel to line g that has a y-intercept at (0, -1)
Answers
Answer:
Line C is parallel to the given line.
Step-by-step explanation:
The given graph slopes down, and thus has a negative slope: m = -1/2.
Of the possible choices, only C has this slope: y = (-1/2)x + b. The y-intercepts b and (0, 6) need not be the same, as the quality of parallelness is all that we care about here.
Use the 1st derivative test to find the intervals where the function is increasing or decreasing. Please show your work so I can get a better understanding on how you achieved the solution. Thank you.
Answers
As the name of the test suggests, you have to compute the derivative:
[tex]f(x) = \dfrac1{2x+3} \implies f'(x) = -\dfrac2{(2x+3)^2}[/tex]
Find where, if at all, the derivative vanishes or is undefined - these are the critical points of f(x).
In this case, the derivative is never 0 since the numerator is constant and the denominator is non-negative. You also see that f '(x) is negative over its entire domain.
The denominator goes to 0 when 2x + 3 = 0, or x = -3/2.
Now split up the domain of f(x) into intervals with endpoints at the critical points. Here, we consider the two intervals, (-∞, -3/2) and (-3/2, ∞).
Take any point from either interval and check the sign of f '(x) at that point. Any points will do, but you should strive to pick one that makes calculations simple.
• From (-∞, -3/2), take x = -2; then f ' (-2) = -2 < 0. Since f '(x) is negative over this interval, f(x) is decreasing over it.
• From (-3/2, ∞), take x = 0; then f ' (0) = -2/9 < 0. Again, this means f(x) is decreasing over this interval.
So, the first derivative test tells us that f(x) = 1/(2x + 3) is decreasing over the intervals (-∞, -3/2) and (-3/2, ∞); in other words, over its entire domain.
For the second function, we have
[tex]f(x) = \dfrac{x+1}{x+3} \implies f'(x) = \dfrac{(x+3)-(x+1)}{(x+3)^2} = \dfrac2{(x+3)^2}[/tex]
Again, there's only one critical point, this time at x = -3 where the derivative is undefined.
• From the interval (-∞, -3), take x = -4; then f ' (-4) = 2 > 0, so f(x) is increasing.
• From the interval (-3, ∞), take x = 0; then f ' (0) = 2/9 > 0, so f(x) is increasing.
If you can answer this right i'll mark you brainiest
Answers
Answer:Think of the equation as an equation for a line
y=mx+b
where in this case
C= 5 /9 (F−32)
or
C= 5 /9 F - 5/9 x 32
You can see the slope of the graph is 5 /9
, which means that for an increase of 1 degree Fahrenheit, the increase is
5 /9 of 1 degree Celsius.
C= 5 /9 (F)
C= 5/9(1)
C=5/9
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
9/5 degrees Fahrenheit.
C= 5/ 9 (F)
1= 5 /9 (F)
(F)= 9 /5
Since
9/5 = 1.8, statement II is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
C= 5 /9 (F)
C= 5 /9 x 5/9
C=25/81
(which is≠1)
An increase of 5/9
degree Fahrenheit leads to an increase of
25/81.
, not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
Evaluate the expression ab2 + 2ab + a2 for a = 6 and b = 3.
a) 128
b) 126
c) 130
c) 124
Answers
Answer:
I believe there is an error with the problem
Step-by-step explanation:
3*6*2 + 2*6*3 + 6*2 = 36+36+12 = 84
The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126 so option (b) will be correct.
What is an expression?
A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression
ab² + 2ab + a²
Now,
a = 6 and b= 3
So,
⇒ 6(3)² + 2(6)(3) + 6²
⇒ 36 + 54 + 36
⇒ 126
Hence "The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126".
To learn more about expression,
https://brainly.com/question/14083225
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Patricia visited a friend who lives 120 miles away. On her way there she averaged 60 mph. On the way back, she only averaged 40 mph. What was the total amount of time she spent driving?
Answers
Answer:
5 hours
Step-by-step explanation:
120/60= 2
120/40= 3
3+2=5
Last winter, the ratio of days with snow to days with no snow was 1.12. Write this ratio as a fraction in simplest form? PLS HELP
Answers
9514 1404 393
Answer:
28/25
Step-by-step explanation:
To make the number into a fraction, multiply and divide by 100:
1.12 × 100/100 = 112/100
Recognize that numerator and denominator have a factor of 4 in common:
112/100 = 28×4/(25×4) = 28/25
Please help me with this problem.
Answers
Answer:
yes
no
yes
no
Step-by-step explanation:
You can tell it's negation when the word "not" is used.
Subtract the linear expressions.
(−7.6x+7.4)−(3.5x+6.5)
What is the difference?
Enter your answer in the box.
Answers
Step-by-step explanation:
-7.6x+7.4-3.5x-6.5
-7.6x-3.5x+7.4-6.5
-11.1x+0.9
a
1
=
3
and
a
n
=
a
n
−
1
−
1
a
1
=3 and a
n
=a
n−1
−1
Answers
Answer:????????
Step-by-step explanation:?
help me figure this out.
Answers
Answer:
30; -5 is 5 units away from 0 and V is 25 units away from 0, and 5 + 25 = 30.
Step-by-step explanation:
To find the distance between point T, which has a value of -5, and V, which has a value of 25, we should find the absolute value of each number and then add those numbers together.
So, the absolute value of -5 is 5 and the absolute value of 25 is 25. 25 + 5 = 30, and this is the length of TV.
If you have any further questions or need clarification on anything, let me know!
Solve the system of equations by using substitution.
6r + 7s = –1
2r + 4s = –12
1) (–4, –8)
2) (–8, –4)
3) (–7, 8)
4) (8, –7)
Answers
Answer:
r = 8 and
s = -7
Step-by-step explanation:
(2r + 4s = - 12)/2 =
r +2s = -6
r = -2s - 6
Substitution:
6 (-2s -6) + 7s = -1
-12s - 36 + 7s = -1
-5s = 36-1
s = 35/-5
s = -7
6r + 7(-7) = -1
6r - 49 = -1
6r = 49-1
r = 48/6
r = 8
Please show the work. 5256÷52, 5624÷46, 756÷36, 2760÷12. It's a lot to do, so I'm making this 40 points.
Answers
What is the equation of a line parallel to y= -1/2x+6 that passes through (-4, 1)?
Answers
Given the value of slope (m) = -1/2, and the other point, (-4, 1), we can substitute its values into the slope-intercept form, y = mx + b to solve for the y-intercept of the other line.
y = mx + b
1 = -1/2(-4) + b
1 = 2 + b
Subtract 2 from both sides to solve for b:
1 -2 = 2 - 2 + b
-1 = b
Therefore, the y-intercept of the other line is b = -1.
The equation of the line parallel to y = -1/2x + 6 is:
y = -1/2x - 1
Attached is a screenshot of the graph of both lines to show that y = -1/2x - 1 is parallel to y = -1/2x + 6.
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Write 5288 as a product of its prime factors
Answers
Answer:677
Step-by-step explanation i dont know
Here is the answer:
) What is 35% of 10?
0.35(10)
Answers
Answer:
3.5
Step-by-step explanation:
35% of 10 is the same thing as 0.35(10)
0.35 x 10 = 3 + (0.05 x 10) = 3 + 0.5 = 3.5
-Chetan K
Whats the answer? ( BRANLIEST )
Answers
Answer:
14/2 i think
Step-by-step explanation:
Find the equation of the line through the points (−2,5) and (4,9).
Enter your answer in standard form Ax+By=C, where A is a positive integer, and B and C are integers.
Answers
9514 1404 393
Answer:
2x -3y = -19
Step-by-step explanation:
Taking the differences between the given points, we have ...
(Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)
The equation of the line can be written ...
Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line
4x -6y = 4(-2) -6(5) = -38
Dividing by 2 gives the standard form equation ...
2x -3y = -19
_____
Additional comment
The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."
A line passes through the point (6,-4) and has a slope of - 4/3.
Write an equation in point-slope form for this line.
Answers
Answer:
Step-by-step explanation:
In point-slope form,
y - y1 = m(x - x1)
m = -4/3
x1 = 6
y1 = -3
y + 3 = (-4/3)(x - 6)
Fishing Hook G is let down 2 times its present depth. Where is Fishing Hook G?
Answers
Answer:
[tex]2g[/tex]
Step-by-step explanation:
In other words, this problem is asking where Fishing Hook G is after it's 2 times deeper. Let g = its previous depth. We do 2 * g = 2g.
d. What is the number sentence?
Answers
Answer:
Combination of numbers and mathematical operations that children are often required to solve
Solve for h in the mathematical formula A=1/2(a+b)h
Answers
Step-by-step explanation:
Since we arent given enough information to SOLVE for h, I will get as close as I can by rearranging the equation for h
Convert the fraction to a decimal for simplicity
A = 0.5(a + b)h
Divide both sides of the equals by 0.5
A/0.5 = (a + b)h
We can convert A/0.5 into its reciprocal
2 A = (a + b)h
Divide both sides of the equation by the bracketed (a + b)
(2 A) / (a + b) = h
Rewritten
h = [tex]\frac{2A}{(a + b)}[/tex]A jewelry store bought a gold necklace and marked it up 110% from the original cost of $23.52. Later on, Dean purchased the gold necklace and paid 14.75% sales tax. How much, including tax, did he pay for the gold
necklace?
Answers
9514 1404 393
Answer:
$56.68
Step-by-step explanation:
The final price is ...
(cost price) × (1 +110%) × (1 +14.75%) = (cost price)×2.10×1.1475
= $23.52×2.40975 ≈ $56.68
Dean paid $56.68 for the necklace.
solve pls brainliest
Answers
Here it should be this
a) 300
b) 1732
(6-9d4)-(3d4+4) polynomials
Answers
Answer:
2(1 - 6d⁴)
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
Identify
(6 - 9d⁴) - (3d⁴ + 4)
Step 2: Simplify
(Parenthesis) Distribute negative: 6 - 9d⁴ - 3d⁴ - 4Combine like terms: 2 - 12d⁴Factor: 2(1 - 6d⁴)Which graph and equation shows a proportional relationship between and y? NEED HELP ASAP!!!
Answers
Answer:
y = 0.45x
Step-by-step explanation:
proportional relationships must pass through the point 0,0
both the x and y intercepts must equal 0
Evalute: -|-x+2| for x = -3
Answers
the answer is -5
A store owner had nine employees and bought nine hundred fifty-one uniforms for them. If he wanted to give each employee the same number of uniforms, how many more should he buy so he doesn’t have any extra?
Answers
Answer:
105
Step-by-step explanation:
Divide 951 by 9
Explain the three different ways of writing a ratio and provide an example
Answers
Answer: The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6."
Step-by-step explanation:
you can write ratios as 3/6 , 3 to 6, or 3:6
Please help Please help Please help Please help Please help Please help
Answers
Answer:
the answer is b
Step-by-step explanation:
Help me please express the simplest radical form
Answers
Answer:
The answer is 8√2
Hope this helps