Does the table represent an exponential function? Explain.
A. Yes, the x-values decrease by a constant amount and the y-values are multiplied by a constant amount.
B. No, the x- and y-values show a quadratic relationship only.
C. Yes, the x-values increase by a constant amount and the y-values are multiplied by a constant amount.
D. Yes, the y-values increase by a constant amount and the x-values are multiplied by a constant amount.
Answers
Answer:
No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.
Step-by-step explanation:
We have a set of ordered pairs of the form (x, y)
If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.
This means that:
\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b
This is: y_2=by_1y2=by1
Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}
Observe that:
\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31
Then the values of y are not multiplied by a constant amount "b"
Related Questions
A quantity with an initial value of 750 decays continuously at a rate
of 8.5% per hour. What is the value of the quantity after 147 minutes,
to the nearest hundredth?
Answers
Answer:
749.79
Step-by-step explanation:
147 minutes = 2 and 27/60 hours
8.5% times 2 and 27/60 = 0.20825 or 833/4000
750 - 0.20825 = 749.79175
749.79175 to the nearest hundredth = 749.79
Hope this helps.
Answer:609
Step-by-step explanation:
I need help please!!
Answers
Answer:
y = -25x + 170
Step-by-step explanation:
For the graph equation y = ax + b, we have to find a and b.
Pick two points that are on the grid for best accuracy.
e.g., (2,120) and (6,20)
Then a = (20-120)/(6-2) = -25
b is the y coordinate of the line with the y axis: 170
So the formula is:
y = -25x + 170
What is the best prediction of the time required for
the oil spill to reach a diameter of 10 km?
A 147 days
B200 days
205 days
D233 days
Answers
Answer:
Step-by-step explanation:
It's 205
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.
The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.
The equation at (2.4, 1) will be given as,
2.4 = a (1)² + b (1) + c
2.4 = a + b + c ...1
The equation at (9.4, 2) will be given as,
9.4= a (2)² + b (2) + c
9.4 = 4a + 2b + c ...2
The equation at (21.1, 3) will be given as,
21.1 = a (3)² + b (3) + c
21.1 = 9a + 3b + c ...
Solve equations 1, 2, and 3 with the calculator, then we have
a = 2.35, b = -0.05, c = 0.1
Then the equation is given as,
y = 2.35x² - 0.05x + 0.1
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be
y = 2.35(10)² - 0.05(10) + 0.1
y = 235 - 0.5 + 0.1
y = 235.5
The value of y is nearer to the value of 233. Then the value of y will be 233 days.
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.
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The complete question is given below.
The table shows the relationship between the diameter of kilometers of an oil spill and the time in days. A function can be used to model this relationship.
What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?
A) 147 days
B) 200 days
C) 205 days
D) 233 days
how do u find medians to triangles
Answers
Answer:What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.
Step-by-step explanation:
Answer:
What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.
Step-by-step explanation:
Can someone please help me
Answers
Answer:
131.88cm
Step-by-step explanation:
Implement the formula for circumference of a circle:
2×pi(3.14)×r, r= 21cm and pi is given as 3.14. Substitute your given values into the formula above:
2 × 3.14 × 21= 131.88cm to the nearest hundreth
Find the quotient. 4,610 ÷ 16
show work please <3.
Answers
4,610 divided by 16 is 288.125
Work:
Which of the following illustrates the Distributive Property?
A. 3(2x + 4) = 5x + 4
B. 3(2x + 4) = 5x + 7
C. 3(2x + 4) = 6x + 4
D. 3(2x + 4) = 6x + 12
Answers
Answer:
I think that the correct answer is D 3(2x + 4) = 6x + 12
3(2x + 4) = 6x + 12 illustrates the Distributive Property. Correct option is D.
The Distributive Property states that when you multiply a number by a sum or difference inside parentheses, you distribute the multiplication across each term inside the parentheses.
The correct illustration of the Distributive Property among the given options is:
D. 3(2x + 4) = 6x + 12
This is because when you distribute 3 across 2x and 4, you get 6x for the first term (3 * 2x) and 12 for the second term (3 * 4), resulting in 6x + 12.
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Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression n+0.02n is one way to represent Hal’s pay per hour after the raise. Write and equivalent simplified expression that will represent his pay per hour after the raise
Answers
Answer:
1.02n should be the answer
Another way to represent Hal's pay per hour is n + (2/100)n after the raise.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Hal earns n dollars per hour.
Next month he will receive a 2% raise in pay per hour.
The expression n + 0.02n is one way to represent Hal’s pay per hour after the raise.
Another way to represent Hal's pay per hour is n + (2/100)n after the raise.
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help me plz, I'll mark brainiest
Answers
Answer:
1
Step-by-step explanation:
I guess it's the first choice
How do I figure this out?
Answers
Answer:
0.75 : 1
Step-by-step explanation:
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PLSSSS SHOWWW THE WORKKK!!!!
Answers
Answer:
80 x by the power of 5 and y is by the power of 3
Answer:
80x⁵y³
Step-by-step explanation:
5x³y(-4xy)²
=5x³y*16x²y²
=80x⁵y³.
Solving systems of equations using substitution y = 5x + 17. y= -2x -4
Answers
Answer:
(-3,2)
Step-by-step explanation:
Eliminate the equal sides of each equation and combine
5x + 17 = -2x - 4
Solve
x = -3
Evaluate y when x = − 3 .
y = 2
(-3,2)
hope this helps :)
You are controlling an unmanned aerial vehicle (UAV) for surveillance. The table shows the height y (in thousands of feet) of the UAV x minutes after you start its descent from cruising altitude.
Answers
Answer: y=-1/2x+58, decreases 500, begins, 58k
Step-by-step explanation:
I'm not too sure about my equation for the word problem but I can explain how I got it.
The equation is in y=mx+b format, so we need to find the slope. They gave us the graph for a reason. You would take each side of the table and subtract/add. For example: 58-53=-5 (y), 0+10=10 (x).
Then, just put that in rise over run (-5/10).
Simplify. Which gives you -1/2.
They already gave us the y-intercept, so just put it into the equation. y=-1/2x+58.
Keep in mind I don't know if you need to add the 0's because it's thousands of feet, I would just in case though. Hoped this helped!
The equation can be given as [tex]y= -\frac{1}{2}x +58[/tex], and slope for x and y is m that is [tex]\dfrac{-1}{2}[/tex].
Given to us,
x is time in minutes
y is the height (in thousands of feet) of the UAV
x y
0 58
10 53
20 48
30 43
The equation can be given as y = mx+ c
where,
x is time in minutes,
y is the height,
m is the slope,
c is the constant,
Substituting the values of x and y to get m and c,
Equation 1:
[tex]y = mx+ c\\ 58 = m(0) + c \\ c = 58[/tex]
Substituting the values of c to get m,
Equation2:
[tex]y = mx+ c\\53 = m(10) + 58\\m\times (10) = - 58 + 53\\m\times (10) = -5\\m =- \frac{1}{2}[/tex]
[tex]y= -\frac{1}{2}x +58[/tex]
Therefore, the equation can be given as [tex]y= -\frac{1}{2}x +58[/tex], and slope for x and y is m that is [tex]\dfrac{-1}{2}[/tex].
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7x-7=14
Plz show how u got the answer
Answers
Answer:
7x-7=14
7x=14+7
7x=21
x=21/7
x=3
Step-by-step explanation:
Hope it helps you
There are 80 balloons used to make 20 identical gift baskets. What is the unit rate in balloons per gift baskets?
Answers
Answer:
4 ballons per basket because
80 ballons divided by 20 baskets is 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
4 balloons per gift basket
Write an equation of the line that passes through (1,5) and is parallel to the line y=-4x+2.
Answers
9514 1404 393
Answer:
y = -4x +9
Step-by-step explanation:
The same slope-intercept equation can be used, but with a different y-intercept. That new y-intercept can be found from the given point (x, y) using the formula ...
b = y -mx
b = 5 -(-4)(1) = 9
So, the equation with the new y-intercept is ...
y = -4x +9
PLEASE HELP WILL GIVE BRAINLIEST
Answers
Answer:
You can try the last one by yourself. If you need help on that I will help you, but remember that plug in all the answer choices, so that you can know if it has one solution, infinite solution, or no solution. Hope this helps, thank you !!
Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad? 2 pounds 223 2 2 3 pounds 3 pounds 313 3 1 3 pounds
Answers
Answer: 2²/₃ pounds
Step-by-step explanation:
There are 8 pounds of fruit.
These are to be used to make 3 equal sized fruit salad.
The weights of each fruit salad will therefore be:
= Pounds of fruit/ Number of fruit salads
= 8 / 3
= 2²/₃ pounds
PLEASE HELP BCS MY TEACHER KEEPS POSTING HARD STUFF
Answers
Answer:
My estimate is D:21
Step-by-step explanation:
so sorry this answer will be 75% wrong, let me explain how i got this answer
the perimeter of triangle ADE is 12 units
Triangle ABC looks like 2 times the triangle ADE , 12 + 12 = 24 and the closest answer was D: 21
I hope i helped you in some way!
Answer:
D.21
Step-by-step explanation:
AC=8
AB=8
BC=5
Add all the sides
=21
Anya is watching a football game on TV. She
has noticed that every 5 minutes there are
2 commercials. If the game lasts 2 hours,
how many commercials will Anya see?
commercials
Answers
Answer: 24 commercials
Step-by-step explanation: An hour is 60 minutes. She'll watch 120 minutes of the game. 120 divided by 5 is 24. Good luck! :D
What is the measure of ∠FIH?
A) 144°
B) 90°
C) 108°
Answers
plzzzzzzzzzzzzzzzzz help
Callie earns money by dog sitting. Based on the table, is the relationship between the amount Callie earns and the number of days a proportional relationship?
Answers
Its directly proportional
what’s the equation for getting the circumference of a circle
Answers
Answer:
Its 2πr^2
Step-by-step explanation:
[tex]2\pi {r}^{2} [/tex]
0/1
A population of mosquitos p is modeled by the equation
p = 1000(2)w where w is the number of weeks after the population was first measured.
What is the constant ratio of the function?
Answers
Answer:
[tex]1 \sqrt{2}[/tex]
bob shares half of his pizza with 5 friends what fraction of the pizza does each friend get
Answers
Answer:
1/10
Step-by-step explanation:
Bob has 1/2
1/2 divided by 5 = 0.1
0.1 = 1/10
Each friend gets 1/10.
Sole 6-x=4(5+ x) – 4
O A x=-5
OB. x= -1
O c. x=-2
O D. There are infinitely many solutions.
Answers
Answer:
C. x=-2
Step-by-step explanation:
To solve use PEMDAS,
First, distribute
6-x=20+4x-4
Then, combine like terms
6-x=16+4x
Add x to both sides
6=16+5x
Subtract 16 from both sides
-10=5x
Divide both sides by 5
-2=x
What is the slope of the line through points (-2, 3) and (6, 1)?
Answers
Answer:
slope is -1/4
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
(1 - 3) / (6 - (-2))
Simplify.
(-2) / 8
Simplify.
-1/4
Please helpppppppppo
Answers
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up $170 per year. What would be the monthly rent during the 8th year of living in the apartment?
Answers
The monthly rent during the 8th year of living in the apartment will be $2160.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up by $170 per year.
Then the monthly rent during the 8th year of living in the apartment will be
Let y be the monthly rent and x be the number of years.
Then we have
y = 170x + 800
The rent after 8 years, then the rent will be
y = 170 × 8 + 800
y = 1360 + 800
y = $ 2160
Thus. the monthly rent during the 8th year of living in the apartment will be $ 2160.
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PLZZZZZZZZZZZ HELP WILL GIVE BRIANLY
What is the equation of the additive relationship represented by this table?
Enter your answer by filling in the box using an integer.
$$
x y
9 5
12 8
Answers
Answer:
x-4=y
Step-by-step explanation:
im pretty sure