Answer:
Hi... U should do like this
The recursive formula will be g(n) = g(n-1) + 5
What is recursive formula ?"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:
The first term of the sequence.
The pattern rule to get any term from its previous term.
Recursive Formula for Arithmetic Sequence
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
where
an is the nth term of a A.P.
d is the common difference."
Given,
[tex]g(n) = 1 + 5(n-1)[/tex]
Let the remaining term be x
Now,
[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]
So, [tex]g(n) = g(n-1) + 5[/tex]
And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]
[tex]g(1) = 6[/tex]
Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]
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What is the solution to the equation shown below? (2/3)x + 5 = 1
Answer:
The solution is x = −6.
Step-by-step explanation:
3g-2+7g+8=
What is this
Answer:
10g+6 is the answer
Step-by-step explanation:
A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre
Answer: 8 times more 8*2 1/2 = 20 pounds.
Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.
I hope this helps :)
Answer my math question I asked so many times I lost most of points help by
y-intercept: (0, 1)
Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5
Line of symmetry: x = 0.5
Open UP or DOWN: Opens UP
Min or Max: Min
Vertex: (0.5, 0.5)
Domain: {x|x ∈ ℝ}
Range: {y|y ≥ 1/2}
Please help me! Im not good at this topic.
Answer:
I THINK IT IS C.
Step-by-step explanation:
The cost y (in dollars) to spend an evening bowling is proportional to the
number of games x that are bowled.
It costs $16 to bowl 4 games.
5. Write an equation that represents the situation.
6. How much does it cost in dollars) to bowl 6 games?
Answer:
y = 4x
Bowl 6 games cost $24
Step-by-step explanation:
Proportional Relationship
We have a situation where the cost y in dollars to spend an evening bowling is proportional to the number of games x bowled.
A proportional relationship is written with the equation:
y = k.x
The value of k will be determined by using the given information: 4 games bowled cost $16, thus:
16 = k.(4) = 4k
Solving:
k = 16 / 4 =4
Thus, the function is:
y = 4x
x=6 games bowled cost:
y = 4*6
y = $24
Bowl 6 games cost $24
HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?
Someone please help me, please
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]
[tex]a = 10000(1.05) {}^{2} [/tex]
[tex]a = 10000(1.1025)[/tex]
[tex]a = 11205[/tex]
C.I = a - p
C.I = 11205 - 10000
C.I = 1205
Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answer:
points
Step-by-step explanation:
Find the slope of the line that passes through the points, A(0,2) and B(4, -1).
Answer:
Slope=M=y2-y1/X2-X1=
-1 -2 /4-0=
-3/4 =
-0.75
Step-by-step explanation:
Hope this helped!!!!
Answer:
y=(-3/4)+2
Step-by-step explanation:
Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula
Firstly, lets solve for the slope by finding the change in y over the change in x:
slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]
We will plug in the values of the points given and find that:
slope (m)= [tex]\frac{-1-2}{4-0}[/tex]
this equals (-3/4)
from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).
Point-slope equation:
[tex]y-y1=m(x-x1)[/tex]
Plugging in values:
[tex]y-2=(\frac{-3}{4})(x-0)[/tex]
after isolating y we find that the equation is:
[tex]y=\frac{-3}{4} x+2[/tex]
Hope this helps!
-HM
in the figure given alongside find angle ACD angle ADC and angle DAE
What are the solutions to the equation? x2(x+2)(x+6)=0
Answer:
x1 = -6, x2 = -2
Step-by-step explanation:
hope this helps :)
Describe the set of all complex numbers that are at a distance of 2 units from the origin.
Answer:
The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].
Step-by-step explanation:
From Complex Analysis, we remember that complex numbers are numbers whose form is:
[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)
Where [tex]i = \sqrt{-1}[/tex].
In addition, the distance from the origin is defined by the following Pythagorean identity:
[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)
The following condition must be satisfied:
[tex]\|s\| = 2[/tex]
Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:
[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)
The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
A complex number, written in rectangular form is
[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]
The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula
[tex]|z|=\sqrt{a^2+b^2}[/tex]
Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy
[tex]|z|=2[/tex]
thus, the set we are looking for is
[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
where [tex]\mathbb{C}[/tex] is the set of all complex numbers
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Math Trick
43 x 67 = ?
Answer:2881
Step-by-step explanation:
Answer:
2881
Step-by-step explanation:
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
Answer:
$15.75
Step-by-step explanation:
30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75
please help me pls and ty
x2 is to 441 as x3 is to ___.
Solve for c in x^2 = 441
Taking the square root of both sides x = 21
Now x^3 = 21^3 = 9,261
The answer is 9,261
The solution is x² is to 441 as x³ is to 9261
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x² = 441
Taking square roots on both sides , we get
x = 21
Therefore , x³ = 21 × 21 × 21
x³ = 9261
Hence , x² is to 441 as x³ is to 9261
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9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST
TNMILLER this for youuuuuuu!
Answer:
??
Step-by-step explanation:
i am so confused... love ur pfp tho
Answer:
:D
Step-by-step explanation:
thank
Evaluate the expression | 9 | + | - 2|
Answer: 11
Step-by-step explanation:
|9| + |-2| =
9 + 2 = 11
Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds
$14
you need to set up a preportion
if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.
anyways what ya finna do is make a fraction
5 8
--- = ----
8.75 x
then u cross multiply. 8 x 8.75 = 70
70 = 5x
x= $14
what is the answer?
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
X-7
4x + 1
ngle.
6x + 2
Find the perimeter
Answer:
ANSWER
GIVEN:
OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1
AO/OC = BO/OD
[The diagonals of a Trapezium divide each other proportionally]
(3x-1)/(5x-3) =( 2x+1)/(6x-5)
(3x-1) (6x-5) = (5x-3) ( 2x+1)
3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)
18x² -15x -6x +5 = 10x² -6x +5x -3
18x² -21x +5 = 10x² - x -3
18x² -10x² -21x + x +5+3 =0
8x² - 20x +8= 0
4(2x² -5x +2) = 0
2x² -5x +2 = 0
2x² -4x -x +2= 0
[By factorization]
2x(x-2) -1(x-2)= 0
(2x-1) (x-2) = 0
(2x-1) = 0 or (x-2) = 0
x = ½ or x = 2
If we put x= ½ in OD , The value of OD is negative.
Hence, the value of is x = 2.
Step-by-step explanation:
1 =29 and 2=44...............
which is closer to 0 3/8 or -1/3
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0
In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.
Corresponding sides are proportional
Corresponding sides are congruent
The shapes are exactly the same in side length and angle measure
Corresponding angles are congruent
Answer:
According to me all the options are correct
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.
Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points
Answer:
The first option
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
are these all right?? PLS HELP IM SO DUMB AHAH.
Answ
yes
Step-by-step explanation:
Answer:??
Step-by-step explanation: How do I use this app??
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The question is not complete, so i have attached it.
Answer:
Options A, B & E are correct
Step-by-step explanation:
In the synthetic division attached, we see that:
: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12
: The divisor is 3
Thus;
x = 3 is a root of f(x) = 2x² - 2x - 12
Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12
- Now, from the attached image, the coefficients of the quotient are 2 , 4
- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)
The degree of the dividend will be 2 since it contains x²
Thus, the degree of the quotient will be 1
Therefore, the quotient in factor form is (2x + 4)
Looking at the given statements in the options;
- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12
- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12
- Option C is not true because the factor is (x + 3) and not (x - 3)
-Option D is not true because the root is 3 and not -3
- Option E is true because we have established that quotient as a factor is: (2x + 4)
Thus, the correct options are A , B , E
5(x - 6) + 2 = 7x - 8
what is x
Answer:
x = -10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties
DistributiveStep-by-step explanation:
Step 1: Define equation
5(x - 6) + 2 = 7x - 8
Step 2: Solve for x
Distribute 5: 5x - 30 + 2 = 7x - 8Subtract 5x on both sides: -30 + 2 = 2x - 8Add: -28 = 2x - 8Add 8 on both sides: -20 = 2xDivide 2 on both sides: -10 = xRewrite: x = -10Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-10 - 6) + 2 = 7(-10) - 8Subtract: 5(-16) + 2 = 7(-10) - 8Multiply: -80 + 2 = -70 - 8Add/Subtract: -78 = -78