Answer:
whaat?
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
-4,-3,0,5, 12, 21, 32,...
I need help quick!!
Answer:
The nth term = n^2 - 2n - 3.
Step-by-step explanation:
Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c
Example 1
Write down the nth term of this quadratic number sequence.
-3, 8, 23, 42, 65...
Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.
Sequence = -3, 8, 23, 42, 65
1st difference = 11,15,19,23
2nd difference = 4,4,4,4
Step 2: If you divide the second difference by 2, you will get the value of a.
4 ÷ 2 = 2
So the first term of the nth term is 2n²
Step 3: Next, substitute the number 1 to 5 into 2n².
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Differences = -5,0,5,10,15
Now the nth term of these differences (-5,0,5,10,15) is 5n -10.
So b = 5 and c = -10.
Step 5: Write down your final answer in the form an² + bn + c.
2n² + 5n -10
Example 2
Write down the nth term of this quadratic number sequence.
9, 28, 57, 96, 145...
Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.
Sequence = 9, 28, 57, 96, 145...
1st differences = 19,29,39,49
2nd differences = 10,10,10
Step 2: If you divide the second difference by 2, you will get the value of a.
10 ÷ 2 = 5
So the first term of the nth term is 5n²
Step 3: Next, substitute the number 1 to 5 into 5n².
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Differences = 4,8,12,16,20
Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.
Step 5: Write down your final answer in the form an² + bn + c.
5n² + 4n
HELP ANSWER ASAP
ANSWER???
A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.
1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1
Answer:
A. y= -x^2 + 1
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
1
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
4
x
y
−
2
−
3
−
1
0
0
1
1
0
2
−
3
________________________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
__________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
1
)
Focus:
(
0
,
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
3
4
x
y
−
2
5
−
1
2
0
1
1
2
2
5
_________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
−
5
−
1
−
2
0
−
1
1
−
2
2
−
5
You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?
Circle A has been enlarged to create circleA prime . The picture below shows the diameters of both circles.
Based on the information in the picture, what scale factor was used to create circle A prime ?
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
5/2
Step-by-step explanation:
The ratio of the diameters is equal to the scale factor:
sf = (15 in)/(6 in) = 5/2
The scale factor used to create circle A' is 5/2.
Can you help me please?
Answer:
B
Step-by-step explanation:
The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.
Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)
Answer:
ion
Step-by-step explanation:srry
How to find displacement from velocity.
Answer:
The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.
A garden snail moves 1/6 foot in 1/3 hour. How far is the snail moving per hour?
A. 2 feet per hour
B. 1/2 foot per hour
C. 1 foot per 2 hours
D. 1/4 foot per hour
Answer:
c) 1 foot per 2 hours
Step-by-step explanation:
1/6 of a foot (which is 12 inches) is 2 inches
1/3 of an hour (which is 60 minutes) is 20 minutes
2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)
Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
l² = x² + y².In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
(dx/dt) = 19 ft/s(dy/dt) = -15 ft/sTherefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
https://brainly.com/question/12559989
What is the product?
Enter your answer as a fraction, in simplified form, in the box.
3/8*(-36)
Answer:
-27/2
Step-by-step explanation:
3/8 × -36
(3×-36)/8
-108/8
-27/2
What is the common difference for this arithmetic sequence 45,40,35,30,25,
Answer:
-5
Step-by-step explanation:
[tex]\bf 5x-6=3x-8[/tex]
What is Part 1 and Part 2? I think I have these correct.
Step-by-step explanation:
part 1. Alternate Exterior angle
part 2. 110°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
How to find the theoretical mean and standard deviation using central limit therom.
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55
Answer:
I have difficulty understanding the question. I read it as "What is the value of a number that when multiplied by 0.3 times (8/4) is equal to 34.55. This doesn't seem correct, but if it is:
Step-by-step explanation:
(0.3)*(8/4)x = 34.55
(8/4)x = 115.17
x = (4/8)*(115.17)
x = 57.58
21 is the correct answer.
mike drove 10 miles in 30 minutes, what's the average speed in miles per hour
Simplify this expression 3(2h + 5)
If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p
Answer:
Angle 1 = 110
Angle 2 = 110
Angle 3 = 70
Angle 4 = 70
Step-by-step explanation:
Angles 1 and 2 are corresponding angles, and therefore congruent
Angles 2 and 3 are same-side interior angles, and therefore supplementary
Angles 3 and 4 are alternate interior angles, and therefore congruent.
Answer:
Angle 2: 110
Angle 3: 70
Angle 4: 70
Wha ratio is equivalent to the ratio 6 : 12
Answer:
1:2
Step-by-step explanation:
1:2 would be a equivilant
also most simplified
Answer:
1 :2
Step-by-step explanation:
Geometry hw help please.
Answer:
6
Step-by-step explanation:
You can solve this using Pythagorean Theorem;
a² + b² = c²
c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.
a and b values can be the other 2 legs, doesn’t matter which one is which
we are given;
a = 8
c = 10
a² + b² = c²
(8)² + b² = (10)²
64 + b² = 100
b² = 100 - 64
b² = 36
√b² = √36
b = 6
Therefore the answer = 6
Hope this helps!
Which expression uses the associative property to make it easier to evaluate 143 - Ž)? 2 CAN O A. 7(a ) O B. (145) ( O C. 143.5) O D. (14.) SUBMIT
Answer:
the answer would be c brainlest if right :0
Step-by-step explanation:
Hello!
-----------------------------------------------------------------------------------------------------------------
I presume the answer is Option C.
It's much easier to evaluate this expression than the other ones.
Hope it helps!
~SparklingFlower
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Can anyone help, im stuck
Answer:
The second one is right
Step-by-step explanation:
anyone help, im stuck
Answer:
The third one
Step-by-step explanation:
Since, 1 can be represented by x we can make an equation
2 can be represented y
and 4 can be represented by x
Since x + y = 180 and x + z = 180
y = z
Or 2 = 4
Brainliest please :)
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
Answer:
Step-by-step explanation:
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
The LCD is (a^2 + a)(a - 2) so we have
[(a + 2) - 3(a^2 + a)] / (a^2 + a)(a - 2)
= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)
= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)
-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=
Answer: (1,10)
Step-by-step explanation:
Assuming these are the correctly written equations:
-x + 5y = 49, and
x - 4y = -39
I'll rewrite them:
5y = x + 49
y = (1/5)x + (49/5)
-4y = -x -39
y = (1/4)x + (39/4)
=====
I'll assume the question is to find the point these two lines intersect (?).
See the attached graph. They intersect at (1,10).
What’s the answer to this plssss??
Answer:
2c²
Step-by-step explanation:
8c³d² / 4cd²
= 2 * c²
= 2c²
Due in an hour help me
Please I have to pass
Answer:
A is answer
Step-by-step explanation:
Can someone please help me with this?
Hello,
Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.
And then Khamis should have divided -5b by -5b.
Good Luck
If the worker worked for 15.5 hours, how much money would they earn? Round to the nearest
hundredth.
$135.63 or Choice B
Step-by-step explanation:
If the worker works for 15.5 hours and earns $8.75 per hour, you would multiply 15.5 and 8.75, you get 135.625. Round it to the nearest hundredth gives you the answer of $135.62
3 feet + 7 inches = ___ inches
Answer:
10
because when you plus 3+7 is 10