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Which table represents a quadratic relationship?
Answers
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The table which represents a quadratic relationship is in option [tex]D[/tex].
What is quadratic relationship ?A quadratic relationship is a mathematical relation between two variables that follows the form of a quadratic equation.
Quadratic sequence [tex]=an^2 +bn+c[/tex]
So, According to the definition mentioned above if table follows the form of a quadratic equation then it is in quadratic relationship.
So,
To find out quadratic relationship,
We will find first difference in every table and then second difference (Second difference is the difference between the first difference).
We have,
Table A;
[tex]\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &4&2-4=-2\\-1& &2&1-2=-1&-1+2=1\\0& \ &1&0.5-1=-0.5&-0.5+1=0.5\\1& &0.5&0.25-0.5=-0.25&-0.25+0.5=0.25\\2& &0.25&0.125-0.25=-0.125\\3& &0.125\end{array}\right[/tex]
So, In the above table we can see that second difference is not equal that means it is not in quadratic relationship.
Now,
Let Table D;
[tex]\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &-23.4&\\-1& &-23.2&-23.2+23.4=-0.2&0.2-0.2=0\\0& \ &-23&-23+23.2=-0.2&0.2-0.2=0\\1& &-22.8&-22.8+23=-0.2&0.2-0.2=0\\2& &-22.6&-22.6+22.8=-0.2\\3& &-22.4&-22.4+22.6=-0.2\end{array}\right[/tex]
So, here in this table, we can see that second difference is equal that means it is in quadratic relationship.
Hence, we can say that the table which represents a quadratic relationship is in option [tex]D[/tex].
To know more about quadratic relationship click here
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Related Questions
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Answers
Answer:
false
Step-by-step explanation:
steps:
12+56=7
simplify 12+56: 68
12+56
add the numbers: 12+56=68
=68
68=7
the sides are not equal
false
Dorothy wrapped 2 presents in 4 minutes. At that rate, how many
presents would she wrap in 6 hour’s
Answers
Answer:
90
Step-by-step explanation:
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You continue your journey of riding ferris wheels and decide to ride the largest ferris wheel in the world: The High Roller in Las Vegas, Nevada! The High Roller is 550 feet tall with a diameter of 520 feet and the platform making the remaining 30 feet. Your friend who really does not like heights waits for you to get off the High Roller while standing 450 feet away from you, horizontally.
Required:
If you are currently 326 feet in the air, what is the angle of depression from you to your friend?
Answers
The angle of depression from you to your friend is 54.1°
Trigonometric ratios
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle between me in air and my friend, hence:
tanθ = 326 / 450
θ = 35.9 degrees
The angle of depression = 90 - 35.9 = 54.1°
The angle of depression from you to your friend is 54.1°
Find out more on Trigonometric ratios at: https://brainly.com/question/24349828
calculate without using a calculator3√27+(-3√64
Answers
Answer:
[tex] 9 \sqrt{3 } -12 \sqrt{4} \\ 3 \sqrt{9 \times 3} - 3 \sqrt{16 \times 4 } \\ from \: here \: we \: see \: that \: the \: square \: root \: of \: 9 \: is \: 3 \: and \: square \: root \: of \: 16 \: is \: 4 \: so fnal \: answer \: is \\ 9 \sqrt{3} - 12 \sqrt{4} [/tex]
Step-by-step explanation:
from the question we see root 27 and root 64
so what we do next is we look for two numbers that we can multiply together to give 27 and 64 in which one if the number is a perfect square
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for root 64 we use 16 and 4
find the slope of the line passing through each of the following pairs of points and draw the graph of the line (-1,4) -(1,3)
Answers
Answer:
Step-by-step explanation:
(-1,4) (-1,3)
formula y2-y1/x2-x1
=3-4/-1-(-1)
= -1/-2
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Answers
Answer: the answer is 2
Step-by-step explanation:
1. 5 x 2 = 10
2. 12 -10 = 2
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Answers
Answer:
For this, you need to click the second one.
Step-by-step explanation:
Solve for x in the equation X2-12x+36 = 90.
X=
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X= 123.22
O
x= 12+3/10
Answers
Answer:
90x8+3
Step-by-step explanation:
X2-12x+36 = 90.
X=
O x=6+3./10
O x=6+2/7
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O
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Answers
Answer:
62.5meteres
Step-by-step explanation:
using the formula speed =distance/time
12.5= ?/5
?= 12.5 × 5
? = 62.5 meters
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Answer:
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Answers
Answer:
x=16
Step-by-step explanation:
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Answer:
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Answer:
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Answer:
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Step-by-step explanation:
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1)
m = 3√2√2
= 6
n = a
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2)
m = n = a
m = 3
n = 3
Answer = A
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Answers
Answer:
26 million
Step-by-step explanation:
x = total number in million
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Answers
Step-by-step explanation:
Turn the equation into a slope-intercept form equation:
[tex]8y=3x+12[/tex]
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The slope is 3/8.
Using the format:
[tex]y=mx+b[/tex]
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Answers
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Answers
Answer:
Step-by-step explanation:
a) 126 122 118 114 110, 106, 102, 98
Hint: ( Subtract 4 from each numbers to get the next)
b) -1, 3 , 7, 11 , 15, 19, 23, 27
Hint: ( Add all through by 4)
c) 1, 3, 9, 27, 81, 243, 729
Hint: ( Multiply through by 3)
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Answers
Answer:
See below.
Step-by-step explanation:
(2v+2)(3v-2)
6v²-4v+6v-4
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-hope it helps
(Also, I'm great at algebra, so let me know if you need anymore help.)
Step-by-step explanation:
2v (3v-2)+2 (3v-2)
6v^2-4v+6v-4
6v^2+2v-4
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Answers
Answer: (-4, -7)
Step-by-step explanation: To solve this system of equations, we can use the substitution method.
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Answer:
x=60°
Step-by-step explanation:
The Sum of all sides of a pentagon is 540°
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Answers
Answer:
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Answers
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Answer:
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Step-by-step explanation:
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Answer:
1.82 %
Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation: hope this helps
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Answers
Answer:
A
Step-by-step explanation:
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Answers
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Step-by-step explanation: