Answers
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
Related Questions
PLEASE HELP!!! Needed ASAP!
Answers
Answer:
6x - 3 y = 6
6x + 8y = -16
multiply equation 2 by -1
-6y -8y = 16
6x - 3y = 6
-11y =22
y = -2
substitute the value of y in 1
6x - 3(-2) = 6
6x + 6 =6
6x =0
x = 0
(x;y)
[0; -2]
9) 4x + 3y = 19
6x + 3y =33
multiply equation 2 by -1
4x + 3y = 19
-6x - 3y = -33
eliminate one variable by adding the equations
-2x =-14
x = 7
substitute the value of x in the equation
4(7) +3y = 19
28+ 3y = 19
3y =-9
y = -3
(x;y)
[7 ; -3]
10 ) 2x + 6y = 17
2x - 10y = 9
multiply by -1 in equation2
2x +6y = 17
-2x + 10 y = -9
eliminate one variable by adding the equations
16 y = 8
y = 1/2
substitute the value of y in the equation.
2x +6 (1/2) = 17
2x + 3 = 17
2x = 14
x = 7
x:y
[7 ; 1/2 ]
in the following diagram HI || JK what is the measure of
Answers
Answer:
118
Step-by-step explanation:
1 straight line equals 180 degrees minus 62 makes it 118
please help me here dudes and dudettes
Answers
Answer:
what!!!!!!!!!!!!!!!!!! so only for dudesssssssss
What is the 12th term in the geometric sequence -9,27,-81...?
A) -531441
B) 1594323
C) -4782969
D) 177147
Answer and I will give you brainiliest
Answers
Answer:
B) 1594323Step-by-step explanation:
Given GP -9, 27, -81, ...To find12th termSolutionnth term formula
aₙ = a₁rⁿ⁻¹, where r- common ratio, n- number of the termWe have
a₁ = -9r = 27/-9 = -81/27 = -3Find a₁₂
a₁₂ = (-9)*(-3)¹¹ = 1594323Correct choice is B
A ceramic vase was originally priced at $100 but went on sale for 50% off. If Ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?
Answers
Explanation:
50% of 100 is 50.
50 time 1.12 is 56
Ernesto bought the ceramic vase for $56 including 12% tax.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.
∴ The discounted price is (50/100)×100 = $50.
Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.
∴ {(100 + 12)/100}×50.
= (112/100)×50.
= 56.
So he paid $56 including 12% tax.
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What is the equivalent ratio of 3 6
Answers
Answer:
1:2
Step-by-step explanation:
Just simplify 3:6 to get 1:2
Help me please, I don’t understand this at all
Answers
Answer: d
Step-by-step explanation:
aint no 90 cuz
Answer:
Not a right triangle
Step-by-step explanation:
root 4^2 + 6^2 is not equal to 7.5
Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answers
Hey did you find the answer to it yet ? Because I’m having a hard time as well
5x - 3.3 = 7.2
What is the solution to the
equation?
A. X = 2.1
B. X = 5
C. X = 0.65
D. Not Here
Answers
Answer:
A
Step-by-step explanation:
5x=10.5
x=2.1
What are the next two terms of the sequence 1, 2, 5, 14, -..?
A 41, 122
B 29,41
C 40, 123
D 61, 142. please help
Answers
at the doctor's appointment a baby weight 10 pounds how many ounces did the baby weigh
Answers
Answer:
160 ounces
Step-by-step explanation:
A pound = 16 ounces
16x10=160 ounces
A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Calculate the 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober. Use t*
Answers
Answer:
The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7079
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.7079\frac{1.496}{\sqrt{40}} = 0.64[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.914 - 0.64 = 0.274 seconds
The upper end of the interval is the sample mean added to M. So it is 0.914 + 0.64 = 1.554 seconds
The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.
Combine any like terms in the expression. If there are no like terms, rewrite the expression. (NO TROLL ANSWERS, OR ELSE!)
Answers
Answer:
48+36r³
Step-by-step explanation:
There are two pairs of like terms in this expression: 19r³ and 17r³, 44 and 4
Combining the two pairs, you get 48+36r³
Please help!!! I’ll give you best answer!!!
Solve each equation with the quadratic formula.
6) 4v2 + 6v - 88 = 0
Answers
Step-by-step explanation:
The quadratic equation given to us is ,
→ 4v² + 6v - 88 = 0 .
So , wrt to standard form of a quadratic equation ax² + bx + c = 0 , the Zeroes are given by using the Quadratic formula as ,
⇒ x = -b ± √ ( b² - 4ac) / 2a
⇒ x = -6 ± √ [6² - 4 × 4 × (-88) ] / 2×4
⇒ x = -6 ± √ [ 36 + 1408 ] / 8
⇒ x = -6 ± √ 1444 / 8
⇒ x = -6 ± 38 / 8
⇒ x = -6 +38/ 8 , -6 -38 / 8
⇒ x = 32/8 , -44/8
⇒ x = 4 , -11/2
Here I took v as x . So we can replace it .
Hence the value of v is 4 , -11/2 .There are 6 balls in a bucket and 3 of them
are white. If you choose a ball at random,
what is the probability that it will not be
white?
Answers
Answer:
[tex] \frac{3}{6} [/tex]
What is the value of the contangent of
Answers
Given:
In triangle WXY, [tex]m\angle W=90^\circ, WX=8, XY=17, WY=15[/tex].
To find:
The Cotangent of [tex]\angle X[/tex].
Solution:
In a right angle triangle,
[tex]\cot \theta=\dfrac{Base}{Perpendicular}[/tex]
It can be written as:
[tex]\cot \theta=\dfrac{Adjacent}{Opposite}[/tex]
For triangle WXY,
[tex]\cot (\angle X)=\dfrac{WX}{WY}[/tex]
[tex]\cot (\angle X)=\dfrac{8}{15}[/tex]
Therefore, the Cotangent of [tex]\angle X[/tex] is [tex]\dfrac{8}{15}[/tex].
The number 312.8 is 34% of x. What is the value of x rounded to the nearest whole number
Answers
Answer:
X = 920
Step-by-step explanation:
To start off, we have to find how many times 34% can go into 100%. It can go in precisely 2.94117647059 times. Then, we take that number and multiply it by 312.8, since 312.8 is 34% of 100%. We get 920 from that, which is the answer.
Hope this helped!
A percentage is a way to describe a part of a whole. The value of x rounded to the nearest whole number is 920.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the number 312.8 is 34% of x. Therefore, we can write,
34% of x = 312.8
(34/100) × x = 312.8
Multiply both the sides of the equation by 100,
(34/100) × x × 100 = 312.8 × 100
Divide both the sides of the equation by 34,
[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38
x = (312.8 × 100)/34
x = 920
Hence, the value of x rounded to the nearest whole number is 920.
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Could someone help me please?
Answers
Answer:
600
Step-by-step explanation:
So lets rememer the formula for volume of a pyramid to sovle this:
LxHxW/3
Now lets plug in our values, for L, H, and W.
15x12x10/3
So, 15x12x10 is 1800. That is the height times the length times the width.
Now, since this isnt volume of a cube, we must divide the total my 3. This is how you find the volume of a pyramid, as I said above.
So it should be:
1800/3
=
600
This is your answer.
I hope this helps : )
Good luck!
V=LWH
———-
3. 10x12x15
—————- = 600
3
Hope this helps