Answer:
x = ± 8
Step-by-step explanation:
[tex]\dfrac{1}{2}x^{2}=32[/tex]
Multiply the equation by 2
x² = 32*2
x² = 64 = 8²
x = 8
Write a recursive formula for the explicit formula
A(n) = -1 + (n-1)(-2)
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term
Given the explicit formula
A(n) = - 1 + (n - 1)(- 2)
This is an arithmetic sequence with explicit formula
A(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
For the given explicit formula, then
a₁ = - 1 and d = - 2
The recursive formula is then
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1
−2/3x = 10y – 2 written in standard form
Answer:
-2x=30y-6
2x+30y-6=0
Step-by-step explanation:
The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.
Which type of function best models the relationship between the number of days and the inventory remaining?
Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
What is linear function?
A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.
According to the given equation
We have a graph which shows the remaining inventory.
In which x represents the number of days and y represents the inventory remaining.
Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.
Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.
Substitute y = 30 and x = 14 in y = mx + b
⇒ [tex]30 = m(14) + b...(i)[/tex]
Similarly,
substitute y =65 and x =2 in y = mx + b
⇒[tex]65 = 2m + b..(ii)[/tex]
From equation (i) and (ii)
[tex]m = \frac{-35}{12}[/tex]
and [tex]\frac{50}{3}[/tex]
Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]
Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
Learn more about linear function here:
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A group of seven students brought enough peppermint candy to share equally among themselves during a computer lab meeting. which could be the number of pieces of peppermint candy they bought
A: 64
B: 56
C: 38
D: 27
Answer:
56
Step-by-step explanation:
if 8 boxes contain 480 pins how many pin will there be in 3 boxes
Answer:
180
Step-by-step explanation:
HELP!!!! need help with this due tonight pls someone
Answer:
the photos isn't clear!
Will took a nap for 2 hours and 40 minutes. If he woke up at 5:05 what time was it when he started his nap
2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.
answer: 2:15
explaination :
Find each indicated length if A is the midpoint of XZ and B is the midpoint of YZ (please help asap!!)
Answer:
Step-by-step explanation:
We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.
AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)
AB = 3 then XY = 2* 3 = 6
AB = 2.5 then XY = 2*2.4 = 5
XY = 18 ( the big one) then AB = 18/2 = 9 ( the small one)
XY = 4 then AB = 2/2 = 2
XY = 9 then AB = 9/2 = 4.5
what is the distance between 24 ft and 10 ft
Answer:
the distance is 14 feet. hope this helps
how do i simplify these?
. X x X x X
.Y x Y x Y x Y x Y
Hello!
X*X*X=X times X times X = X³
Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵
Hope it helps you! :)
Let me know if you have any query or need further explanation. :)
~A determined gal
[tex]MagicalNature[/tex]
Kenny has 576 baseball cards. He would like
to put them in a blnder. Each binder page
holds 12 cards. 'How many pages does he
need for his baseball card binder?
Answer:
Divide 576 by 12 and you'll get your answer.
Answer:
Kenny will need 48 pages
Step-by-step explanation:
576 into 12 = 48 therefore Kenny will need 48 pages for his baseball card binder.
Amount of baseball cards into How among pages a binder can hold equal Amount if pages needed.
Find the gradient of the line segment between the points (-8,6) and (3,7). Give your answer in its simplest form.
Answer:
[tex] \frac{1}{11} [/tex]
Step-by-step explanation:
[tex]\boxed{gradient = \frac{ y _1 - y_2}{x_1 - x_2} }[/tex]
Gradient of line segment
[tex] = \frac{7 - 6}{3 - ( - 8)} [/tex]
[tex] = \frac{1}{3 + 8} [/tex]
[tex] = \frac{1}{11} [/tex]
Jack spent $22 at Petco. He bought a Betta fish for f dollars and other supplies for $14.57. What is the cost of the Betta fish.
Answer:
7.43
Step-by-step explanation:
22 - 14.57 = 7.43
Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?
Answer:
Betty is 15.
Mike is 5.
Step-by-step explanation:
We can let Betty's age be b and Mike's age be m.
Since Betty's age is 3 times of Mike, then
[tex]b=3m[/tex]
In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.
Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].
We know that [tex]b=3m[/tex], so we can substitute that:
[tex]3m+5=2(m+5)[/tex]
Expand:
[tex]3m+5=2m+10[/tex]
Subtract 5 from both sides:
[tex]3m+5-5=2m+10-5[/tex]
[tex]3m=2m+5[/tex]
Subtract 2m from both sides:
[tex]3m-2m=2m+5-2m[/tex]
[tex]m=5[/tex].
Mike is 5 years old.
Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]
write the birds an order from shortest egg to longest egg
canda goose 3 2/5 Robin 3/4 turtle dove 1 1/5 raven 1 1/9
Answer:
roben,dove,raven ,goose
Step-by-step explaunation:
you need to change them to the same denominator *first*
Answer:
Robin, Raven, Turtle dove, Canada goose.
Step-by-step explanation:
We are given the size of the eggs.
Canada goose: 3 2/5 Units = 17/5 UnitsRobin: 3/4 UnitsTurtle dove: 1 1/5 Units = 6/5 UnitsRaven: 1 1/9 Units = 10/9 UnitsNow, we need to put the sizes of eggs in ascending order.
=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]
Step 1: Make the denominators same.
=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]
=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]
Step 2: Order these egg sizes in ascending order.
=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]
=> [tex]\frac{135}{180},\frac{200}{180},\frac{216}{180},\frac{612}{180}[/tex]
Step 3: Match the sizes of the eggs with the bird.
Robin, Raven, Turtle dove, Canada goose.
Final Answer: So, after working on this problem, we can conclude that the ascending order of bird's eggs size is:
Robin, Raven, Turtle dove, Canada goose.
Hoped this helped.
A zebra can run at a constant speed of 0.60 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question
Answer:
0.6x30=18
Step-by-step explanation:
18 miles would be how far it ran.
You didn't give us any answer choices for which equation, so I would say the equation I wrote could work.
Answer:
0.6 × 30 = 18
Step-by-step explanation:
You multiply the two values to get 18:
0.6 * 30 = 18
Hope that helps! :)
Write equations for the horizontal and vertical lines passing through the point (-4,2)
Answer:
y=2
x=-4
hope this helps!
help pls its due tomorrow ill give brainliest
Answer: It’s C
Step-by-step explanation:
Jenna wants to deposit £1300 in a bank for 1 year.The Independent bank will pay her £2 per month.The Jubilee Bank will pay her interest at 3% per annum.Which Bank should Jenna choose? What do I do help
Help me solve this-> g(x) = 2x + 3
g(7) =
Answer:
17
Step-by-step explanation:
it's sufficient to set x=7
g(7)=2×7+3=14+3=17
Answer:
g(7)=2.7+3=17
There are two numbers the second number is 1 larger than twice the first number. The sum of the reciprocals of the number is 7/10. Find the two numbers.
Let the first no be x
second no=2x+1ATQ
[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]
[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]
On solving we get
[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]
Take it 2First no=2
Second no=5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = 2x + 1 ...1
1/x + 1/y = 7/10 ...2
From equations 1 and 2, then we have
1/x + 1/(2x + 1) = 7/10
10(2x + 1 + x) = 7x(2x + 1)
30x + 10 = 14x² + 7x
14x² - 23x - 10 = 0
14x² - 28x + 5x - 10 = 0
14x(x - 2) + 5(x - 2) = 0
(14x + 5)(x - 2) = 0
x = 2, - 5/14
At x = 2, then the value of y is given as,
y = 2 (2) + 1
y = 5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
More about the solution of the equation link is given below.
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what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles
Answer:
3/5
Step-by-step explanation:
what is the coordinate of the point A?
A) - 0.04
B) - 0.03
C) - 0.02
D) 0
Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm
Answer:
936 cm²
Step-by-step explanation:
The surface area is the sum of all the faces.
The base is a rectangle with
area = 24 × 7 = 168 cm²
The back is a rectangle with
area = 18 × 7 = 126 cm²
The sloping face is a rectangle with
area = 30 × 7 = 210 cm²
The 2 triangular faces are congruent with
area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then
area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²
Then
surface area = 168 + 126 + 210 + 432 = 936 cm²
How can you tell if you are finished solving a polynomial division problem?
The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.
According to the question:
We are required to determine when a polynomial division problem is finished.In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.
Read more:
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does anyone know how to do this..?
Answer:
a. x=29, b. x=62
Step-by-step explanation:
a. since this is an isosceles triangle, two angles are equal. we also know that the exterior angle of one side equals the other 2 interior angles. so we have 2x=58, simplify to get x=29
b. same as a, we have x-17 + 38 = 2x-41. simplify to get x+21 = 2x-41. subtract x and add 41 to both sides to get x=62
i can't see all of 2 so i can't help you with that one sorry
Please help I will give brainless if correct: What are the coordinates of Q
Answer:
4,3
Step-by-step explanation:
The coordinates of Q are (4,3).
Answer:
(4,3)
Step-by-step explanation:
x-axis is 4 and y-axis is 3
Aaliyah has a points card for a movie theater,
• She receives 30 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 125 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Aaliyah can make to earn her first free movie ticket.
Answer:
30 +12.5v ≥ 125v ≥ 7.6Step-by-step explanation:
Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...
(reward points) + (visit points)×(number of visits)
30 +12.5v ≥ 125 . . . . . the inequality
__
12.5v ≥ 95 . . . . . . . subtract 30
v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality
Aaliyah will need to make 8 visits to earn her first free ticket.
Just don’t understand the question to get the answer
Answer:
not sure if u saw the comment but
7 and 8 are congruent, and 8 is congruent to 10
that maybe the rest of the answer
Please help me answer this ASAP
Answer:
1.15x - 0.7x
Step-by-step explanation:
You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.