Answer:
[tex]f(n) = 5 + f(n - 1)[/tex]
Step-by-step explanation:
Given
[tex]f(n) = 5n - 2[/tex]
Required
Write a recursive expression
[tex]f(n) = 5n - 2[/tex]
When n = 1
[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]
[tex]f(1) = 3[/tex]
When n = 2
[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]
[tex]f(2) = 8[/tex] can be rewritten as
[tex]f(2) = 5 + 3[/tex]
Substitute 3 for f(1)
[tex]f(2) = 5 + f(1)[/tex]
Express 1 as 2 - 1
[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)
When n = 3
[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]
[tex]f(3) = 13[/tex] can be rewritten as
[tex]f(3) = 5 + 8[/tex]
Substitute 8 for f(2)
[tex]f(3) = 5 + f(2)[/tex]
Express 2 as 3 - 1
[tex]f(3) = 5 + f(3 - 1)[/tex] ------ (2)
Write out (1) and (2)
[tex]f(2) = 5 + f(2-1)[/tex]
[tex]f(3) = 5 + f(3 - 1)[/tex]
Replace 2 and 3 with n in both cases; This gives
[tex]f(n) = 5 + f(n - 1)[/tex]
Hence;
The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]
Write a brief explanation on how to simplify radicals
HEY GUYS PLEASE HELP JUST LABEL THEM 1 2 3 and tell me true or false
How many solutions does this equation have?
-9p = 6 - 10p
Answer:
p=6
Step-by-step explanation:
-9p=6- 10p
-9p+10p=6
1p=6
p=6/1
p=6
help quickly please~❤️
Answer:
This depends on the drop downs but its probably this:
1. Coefficient
2. Factor (I changed this one after the asker said what options there are)
3. Constant
Answer:
In the first term, 3 is a coefficient
In the second term, (x + 2) is a factor
In the last term, 4 is a constant
Step-by-step explanation:
Correct from Edmentum
f f(x) = 0, what is x?
0 only
–6 only
–2, 1, or 3 only
–6, –2, 1, or 3 only
Show your work. Round to the nearest tenth if necessary. A. x=9 B. x=8.7 C. x=9.3
Line GH bisects angle FGI, that means angle FGH = angle HGI
To Find:the value of x and angle FGI
Solution:angle FGH = angle HGI
6x - 11 = 4x + 7
or, 6x - 4x = 7 + 11
or, 2x = 18
or, x = 18/2 = 9
angle FGI = angle FGH + angle HGI
or, angle FGI = 6x - 11 + 4x + 7
or, angle FGI = 10x - 4
By putting the value of x, we get
angle FGI = 10(9) - 4
or, angle FGI = 90 - 4 = 86°
Answer:The value of x is 9.
Angle FGI = 86°
Two digit-
The sum of my digits is equal to nine.
My tens digit is even.
The difference between my units digit and my tens digit is equal
to one.
Let the number = 10x+y
x+y = 9
y-x = 1
(x+y)+(y-x) = 9+1
2y = 10
y = 10/2
y = 5x+y = 9
9-y = x
x = 9 - 5
x = 4So, your number is 45... Hope this will help...
Question 1 of 21
What is the greatest common factor of the polynomial below?
20x3 - 14x
O A. 2x2
O B. 2x
O C. 6x²
O D. 6x
The common factor for the given polynomial is 2x.
What is factor?A factor is a number that divides another number, leaving no remainder.
Given is a polynomial, 20x³-14x
20x³-14x
= 2x(10x²-7)
Hence, the common factor for the given polynomial is 2x.
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Is 24.928 a rational number
Answer:
Yes, because it has an end.
Step-by-step explanation:
Rational numbers end, while irrational numbers continue on and there is no visible pattern.
Sam and John are finding −3 − 14. Who is correct?
Sam John
-3 - 14 = -3 + 14 -3 - 14 = -3 + (-14)
=11 = -17
Describe how you got the answer PLZS
Answer:
-17
Step-by-step explanation:
ok well I can't really see Sam and John's answer but -3-14 is equal to -17
if you see that there's a negative in front of the first number and its also subtracting you have to make that subtract sign an addition sign then change the second number to a negative like this:
-3+-14 then you just add.
With Sam and John whichever one had -17 as their answer is correct
Does anyone know what [-2/3 * (-5/7)] * (9/4) is?
Point G is the incenter of the triangle. Point G is the incenter of triangle E D F. Lines are drawn from each point of the triangle to point G. Lines are drawn from point G to the sides of the triangle. Angle D F G is 16 degrees. Angle G F E is (2 x) degrees. What is the value of x? 4 8 24 32
Answer:
8
Step-by-step explanation:
8
Answer:
B
Step-by-step explanation:
2x=16
16/2=8
Answer is 8
Divide 3) 5,945 R?
what's the remader PLS HELPP
Answer:
1981
Step-by-step explanation:
3÷5,945
1981 for 1/3
What is the angle of x?
Answer:
Step-by-step explanation:
There are 540 degrees in a pentagon so take 540-(everything there)= 67
erwfehaitdryefjk evg5rmd fhbc tg8
Answer:
this the answer 4.5m
Step-by-step explanation:
formula 1/2(a+b)h
9514 1404 393
Answer:
18 square meters
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
The bases are the parallel line segments, and the height is the perpendicular distance between them.
A = (1/2)(7 m + 5 m)(3 m) = 1/2(12 m)(3 m) = 18 m^2
The area of the trapezoid is 18 square meters.
1. A new pizza shop opened up and started out $6,378.60 in the hole. Their first month being open they
sold 56 pizzas ($6.63 profit each) and 91 sodas ($2.85 profit each). Their bills for the first month were
$1,547.76. How much money do they still need to make to break even?
Answer:
7212.53, i belive
Step-by-step explanation:
56 x 6.33 = 354.48
91 x 2.85 = 259.35
259.35 + 354.48 = 613.83
1547.76 - 613.83 = 933.93
6278.60 + 933.93 = 7212.53
Mr.Joseph recently received a notice that his average gas and electric bill would increase at the beginning of the year. He went online to see the amount of his last 12 bills. If his average bill over the past 12 month goes up 17%, what can he expect to pay on average next year.
Answer:
about 2,546
Step-by-step explanation:
Students in a pre-algebra class are given the polynomial 12x2y−6xy+18y2 and told to factor out the greatest common factor. Which student has made the correct choice?(1 point)
This question is not complete
Complete Question
Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.
Which student has made the correct choice? (1 point)
a) Delia chose 3y because she said that it was a factor of every term.
b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.
c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.
Answer:
c) Mike chose 6y because he said that it was the largest factor of every term.
Step-by-step explanation:
Step 1
Identify the GCF of the coefficients.
12x²y - 6xy + 18y²
Coefficients are :
12, 6, 18
The Greatest Common Factor for 12, 6, 18 =
The factors of 6 are: 1, 2, 3, 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 6.
Step 2
Identify the GCF of the variables.
x²y , xy, y²
The GCF of these variables is y
Step 3
Combine to both GCF's to obtain the GCF of the expression.
= 6 × y
= 6y
The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y
Step 4
We factorise
= 12x²y−6xy + 18y²
= 6y(2x² - x + 3y)
Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.
Mike is correct.
Troy started at the fire station. He walked to the library and then rode his bike to the post office. If Troy only traveled along the grid lines and took the shortest route, how far did he travel? please helllllllppppppppppppppp my last one
Answer:
14 blocks
Step-by-step explanation:
next time plz add a grid :(
arun bought a pair of skates at a sale where the discount given was 20%.if the amount he pays is $1600 find the market prize
Answer:
$1280
Step-by-step explanation:
(20x1600)/100= 20% of 1600=
320
1600-320=1280
What is the future value of an annual deposit of $800 earning 6 percent for 15 years
Help? =/
I'm not sure what's it's about.
Answer:
the answer is the 2nd one
Step-by-step explanation:
A container holds an unknown number of pints of water. Let p represent this unknown amount. Nari pours three-fourths of this volume into an empty pot. She then adds another 2 pints of water. The pot now holds a total of 11pints of water. Set up and solve an equation to find the value of p.
Answer: 12
Step-by-step explanation:
Let p represent this unknown amount.
Nari pours three-fourths of this volume into an empty pot. This can be written as:= 3/4 × p = 3/4p = 0.75p
She then adds another 2 pints of water and the pot now holds a total of 11pints of water. This means we will add 2 to 0.75p and equate to 11. This will be:
0.75p + 2 = 11
0.75p = 11 - 2
0.75p = 9
p = 9/0.75
p = 12
P equals to 12
This question is based on solving linear equation.Therefore, the answer is 12 pints of total amount of water.
Given:
Nari pours three-fourths of this volume into an empty pot.She then adds another 2 pints of water. The pot now holds a total of 11 pints of water.
Let the unknown amount of pints of water is p.
According to the question,
She pours three-fourths of this volume into an empty pot. This can be written as:
[tex]\dfrac{3}{4}\times p= \dfrac{3}{4} p = \bold{0.75p}[/tex]
She add on 2 pints of water to 0.75 p in pot, then it becomes total of 11 pints of water.
In ,mathematically expressed as,
[tex]\begin{alligned}0.75p+2&=11\\0.75p&=11-2\\0.75p&=9\\p&=\frac{9}{0.75}\\\bold{p&=12}\end{alligned}[/tex]
Therefore, there is total amount of 12 pints water.
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Solve for h
3/7=h/14-2/7
Answer:
h =10
Step-by-step explanation:
3/7 = h/14 -2\7
3/7 = 1/14 h + -2/7
1/14 h + -2/7 = 3/7
1/14 h + -2/7 +2/7 = 3/7 + 2/7
1/14 h = 5/7
14 * ( 1/14h) = 14* (5/7)
h =10
[tex]8 + 3 \times 4[/tex]
idk the answer
Answer:
20 is correct answer
Step-by-step explanation:
8+3×4
=8+12
=20
Remember always follow bodmas rule
hope it helped you:)
thanks!
What is the sum of the following? 16x+4x+9y=?
Answer: The answer would be 20x+9y
Step-by-step explanation: I need a brainliest please!!!
Multiply and simplify:
(2x + 8)
A)
2x2 +64
B)
4x? + 64
C)
4x2 + 32x + 64
D)
4x2 + 16x + 16
Answer:
A. 2x+8
Step-by-step explanation:
you take the two and multiply it to the X and the eight and that would give you 2X2 + 64
A container is 1/3 full of water and 1/4 of oil. What fraction of the container is empty?
Just subtract the sum of 1/4 and 1/3 on 1
.
1 - [(1/3) + (1/4)]
Get the least common denominator. LCD = 12
= 12/12 - [(4/12) + (3/12)]
= 12/12 - (7/12)
= 5/12
.
Therefore, 5/12 of the tank is empty.
Solve for a :3a = 4.2
Answer:
3 * 1.4 = 4.2
Solve.
5x – 1= x + 15
Answer:
x=4
Step-by-step explanation:
5x-x=15+1
4x÷4=16÷4
x=4
The solution to the given linear equation with one variable is 4.
The given equation is 5x-1=x+15.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, the equation can be solved as follows
5x-1=x+15
5x-x=15+1
4x=16
x=16/4
x=4
Therefore, the solution to the given equation is 4.
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