Answers
Answer:
75
Step-by-step explanation:
f(1) = 7
f(n) = 3f(n-1) + 3
So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.
So let's try f(2)
That means that f(2) = 3*f(n-1) + 3
but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.
so f(2) = 3*f(1)+3
f(2) = 3*7 + 3
f(2) = 21 + 3
f(2) = 24
Now do it again. We now know F(2), so we should be able to find f(3)
f(3) = 3*f(3 - 1) + 3
f(3) = 3*f(2) + 3 We know that f(2) = 24
f(3) = 3* 24 + 3
f(3) = 72 + 3
f(3) = 75
Related Questions
A jar contains quarters and nickels. There are 5 fewer quarters than nickels. The
total value of the coins is $4.45. Which system of equations can be used to
determine the number of quarters, q, and the number of nickels, n?
Answers
Given:
In a jar, there are 5 fewer quarters than nickels.
The total value of the coins is $4.45.
To find:
The system of equations can be used to determine the number of quarters, q, and the number of nickels, n.
Solution:
Let q be the number of quarters and n be the number of nickels.
It is given that there are 5 fewer quarters than nickels.
[tex]q=n-5[/tex] ...(i)
We know that,
1 quarter = $0.25
1 nickel = $0.05
Using these conversions, we get
q quarters = $0.25q
n nickels = $0.05n
The total value of the coins is $4.45.
[tex]0.25q+0.05n=4.45[/tex] ...(ii)
The equations (i) and (ii) are equations of required system of equations.
Therefore, the system of equations is:
[tex]q=n-5[/tex]
[tex]0.25q+0.05n=4.45[/tex]
What are the solutions of this quadratic equation? X2 − 10x = -34 A. X= -8, -2 B. X= 5 + 3i C. X= -5 + 3i D. X= -5 + square root of 59
Answers
Answer:
B. X= 5 + 3i
5 + 3i
Step-by-step explanation:
We are given the quadratic equation
x² - 10x = -34
x² - 10x + 34 = 0
Using Almighty formula
x = -b ± √b² - 4ac/2a
When given equation: ax² + bx + c
Where: a = 1, b = -10 , c = 34
x = -10 ± √-10² - 4 × 1 × 34/2 × 1
x = 10 ± √100 - 136/2
x = 10 ± √-36 /2
x = 10/2 ±. √-36/2
x = 5 ± 6i /2
x = 5 ± 3i
Hence: the roots of the equation are:
x = 5 - 3i , x = 5 + 3i
can someone please explain to me how to do this?
Answers
Answer:
The fourth coefficient is 4.
Step-by-step explanation:
Pascal's Triangle in this case has 5 rows of coefficients because the highest power in (y + w)^4 is 4. 4 plus 1 is 5.
Here's the appropriate Pascal's Triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1 Use this row when expanding the 4th power of (v + w).
Notice that in the given expansion, the coefficients are
1, 4, 6, 4 1
This corresponds to the last (5th) row of Pascal's Triangle (above).
So the correct coefficient to be placed in the box is 4.
I really help on this question
Answers
Answer:
jojo reference
Step-by-step explanation:
x = 180 - 129 = 51 degrees
If you need to show reasons
Adjacent angles on a straight line add to 180 (supplementary)
Corresponding angles on parallel lines are equal
The expression 2 - x-1/x+2
is equivalent to
A. 1 - 3/x+2
B. 1 + 3/x+2
C. 1 - 1/x+2
D. 1 + 1/x+2
Answers
The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
We have to find, which equation is equivalent to the given expression.
The given expression is,
[tex]= 2- \dfrac{x-1}{x+2}[/tex]
To determine the equivalent expression following all the steps given below.
Step1; Taking LCM in the equation,[tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]
Step2; Solving the equation,[tex]= \dfrac{2x+4-x+1}{x+2}\\\\= \dfrac{x+5}{x+2}\\\\[/tex]
Step3; rewrite the equation in the small factors,[tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]
Step4; By using partial fraction rewrite the equation,[tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]
Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
For more details refer to the link given below.
https://brainly.com/question/2264568
Given the points Q(-3, -4) and R(2, 0), find the coordinates of the point P on directed line segment QR that partitions segment QR such that the ratio of QP to PR is 2
Answers
Step-by-step explanation:
the answer in photo above
4,570= 3thousands+___hundreds+ 7 tens
Answers
Answer: 4 thousands, 5 hundreds, 7 tens
Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answers
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
MARKING BRAINLIEST
PLS HELP
Answers
Answer:
25
Step-by-step explanation:
Moving it down does not change the length.
Write as a single power: (x^4)(x^10)/(x^3)^5
Answers
Because, (x^4) (x^10) (x^3) (x^5)
= x^22 . I hope u have a great summer
The solution of the expression as a single power is X²⁹.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is (x⁴)(x¹⁰)/(x³)⁵. The equation will be solved by the property of exponents.
E = (x⁴)(x¹⁰)/(x³)⁵
Add all the powers of the same base x.
E = (x⁴)(x¹⁰)/(x¹⁵)
E = x⁽⁴⁺¹⁰⁺¹⁵⁾
E = x²⁹
Therefore, the solution of the expression as a single power is X²⁹.
To know more about an expression follow
https://brainly.com/question/8844911
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which is a solution of the equation y=2x+8
Answers
To find the y-intercept, plug in 0 for x and you solve to get 8
y=−2x+8
y=−2(0)+8
y=0+8
y=0
To find the x-intercept, plug in 0 for y and you solve to get 4
y=−2x+8
0=−2x+8
2x=8
x=0
What is the remainder when 19x^2+15x+12 is divided by x-2?
Answers
Answer:
118
Step-by-step explanation:
B E
400
(51)
А
C D
3t
Find the measure of ZF if mZD=88º.
A. 8°
B. 40°
C. 52°
D. 90°
Answers
the answer is c because you have to take the zf an time it by the zd
Answer:
C
Step-by-step explanation:
for the top of the triangle it has to be 40 and angle d has been declared as 88
so it is 40+88 = 128 now 180 -128 = 52 so the answer is C
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.
Answers
9514 1404 393
Answer:
20 people
Step-by-step explanation:
Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...
(1/5)·n = 4
The solution can be found by multiplying both sides of the equation by 5.
5(1/5)n = 5(4)
n = 20
20 people could be served.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
Answer:area of the circle=πr²
3.14 =3.14 ×r²
r²= 1
r. =1 millimeters
What is the value of y?
O A. 36°
O B. 72°
C. 54°
O D. 1080
Answers
sorry but can u show a picture of y?
Answer:
but where is que plz show your que
the top says for the first box : Part A Explain how Mrs. Soto could apply the
following theorem to the problem of restoring
the gate to its original rectangular shape.
Answers
Answer:
The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.
Hope this helps!
A camera and a case cost 100 dollars. If the camera cost 90 more dollars than the case. How much does the case cost.
Answers
Answer:
Cost of case = $5
Step-by-step explanation:
x = cost of camera and y = cost of case
x = y + 90
x + y = 100
y + 90 + y = 100
2y = 10
y = 5
x = y + 90
x = 5 + 90
x = 95
Therefore, the cost of the camera is $95 and the cost of the case is $5.
The cost of case is 5 dollars.
What is the equation?The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Let,
Cost of camera = a and
Cost of case = b
Given that, camera and a case cost 100 dollars
a + b = 100
Since, the camera cost 90 more dollars than the case
So, a = b + 90
Substitute the value in the equation a + b = 100
b + 90 + b = 100
2b = 10
Divided by 2 both the sides
b = 5
Substitute the value of b in equation
a = b+ 90
a = 5 + 90
a = 95
So, the cost of the camera is $95 and the cost of the case is $5.
Hence, the cost of the case is 5 dollars.
Learn more about equation here:
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What is parallel to y=-5+4.2x
Answers
Product of additive identity and multiplicative identity of -1/2 is
Answers
Answer:
1
Step-by-step explanation:
additive identity =1/2
multiplicative =2
Product = 1/2*2
So the answer is 1
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
a. (3, 5)
b. (4, 11)
c. (4, 4)
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
a. no solution
b. (5, 1)
c. (3, –1)
d. infinite number of solutions
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
a. (3, –7)
b. (6, –4)
c. (–7, 3)
d. (–4, 6)
Answers
Answer:
Question 1: d. (3, 7)
Question 2: b. (5, 1)
Question 3: b. (6, –4)
Step-by-step explanation:
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
Add the equations.
7x = 21
x = 3
4(3) - y = 5
-y = -7
y = 7
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
Add the equations.
2d = 10
d = 5
5 + e = 6
e = 1
b. (5, 1)
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
4x + 3y = 12
-x + y = -10
Multiply the second equation by 4 and add to the first equation.
4x + 3y = 12
(+) -4x + 4y = -40
----------------------------
7y = -28
y = -4
-4 = x - 10
x = 6
b. (6, –4)
you save 2/5 of your allowance every week. if you receive $40 per week
how much money will you have after 8 weeks
Answers
Answer:
$128
Step-by-step explanation:
2/5 × $40= $16
$16×8= $128
At a sale on winter clothing, Cody bought four pairs of gloves and four hats for $36.00. Tori bought three pairs of gloves and four hats for $31.00. What were the prices for the gloves and hats?
Answers
Answer:
gloves cost $5
hats cost $4
Step-by-step explanation:
four pairs of gloves and four hats for $36.00
4g + 4h = 36
three pairs of gloves and four hats for $31.00
3g + 4h = 31
-------------------------
Subtract the second equation from the first
4g + 4h = 36
-( 3g + 4h = 31 )
––––––––––––
g = 5
gloves cost $5
substitute for g = 5 into either equation
4(5) + 4h = 36
20 + 4h = 36
Subtract 20 from both sides
4h = 16
Divide both sides by 4
h = 4
hats cost $4
simple interest 34,100 at 4% for 3 years
Answers
Answer:
Step-by-step explanation:
.....
1% = £341
4% = 341 X 4 = £1364
£1364 X 3 years = £4092
Based on the 4% interest per year
If it was 4% interest per month...
£1364 X 36 months/3years = £49,104
What effects do the values of a and b have on the graph of the linear relation y = ax + b?
Answers
Please help. Thank you. (30 points included) (Shown work)
Answers
Answer:
True
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.
Aaron as 3 times as many sweets as Bola Aaron gives Bola 6 sweets and now he has twice as many as her new total How many sweets did they each begin with
Answers
Answer:
Aaron = 54
Bola = 18
Step-by-step explanation:
Let
[tex]A \to Aaron[/tex]
[tex]B \to Bola[/tex]
From the first statement, we have:
[tex]A = 3B[/tex]
After given Bola 6 sweets,
[tex]A - 6 = 2(B + 6)[/tex]
Required
The initial number of sweets each has
Substitute [tex]A = 3B[/tex] in [tex]A - 6 = 2(B + 6)[/tex]
[tex]3B - 6 = 2(B + 6)[/tex]
Open bracket
[tex]3B - 6 = 2B + 12[/tex]
Collect like terms
[tex]3B -2B = 12+6[/tex]
[tex]B = 18[/tex]
Substitute [tex]B = 18[/tex] in [tex]A = 3B[/tex]
[tex]A = 3 * 18[/tex]
[tex]A = 54[/tex]
Solve the given portion 4/x=3/6 x=?
Answers
Answer:
8
Step-by-step explanation:
4/x=3/6
4=3/6x
4*6=3x
24/3=x
8=x
Please mark me as brainliest
Please answer properly.
Answers
Answer:
1) [tex]b=6[/tex]
2) [tex]m=4[/tex]
3) [tex]p=12[/tex]
4) [tex]x=-1\frac{2}{6}[/tex]
Step-by-step explanation:
[tex]b+6=12[/tex]
subtract 6 from both sides
[tex]b=6[/tex]
---------->>>>
[tex]9m=32+4[/tex]
combine like terms
[tex]9m=36[/tex]
divide both sides by 9
[tex]m=4[/tex]
---------->>>>
[tex]21=p+9[/tex]
Subtract 9 from both sides
[tex]12 = p[/tex]
---------->>>>
[tex](10+5)+3x=0[/tex]
Add within the parenthesis
[tex]5+3x=0[/tex]
subtract 5 from both sides
[tex]3x=-5[/tex]
divide both sides by 3
[tex]x=-1\frac{2}{6}[/tex]
Hope this is helpful to you.
can anyone help me please?
Answers
Answer:
yes i can help you with all the time