If f(1) = 5 and f(n) = 4f(n − 1) - 2 then find the value of f(5).
Hi,
This is the same situation as a sequence case.
You have two informations :
[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]
You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.
We already have f(n) for n = 1 : it is f(1) = 5.
n = 2 :
f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5
n=3 :
f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70
n = 4 :
f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278
n = 5 :
f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110
so f(5) = 1110
Good Luck
What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C
Answer:
C = 25/9
Step-by-step explanation:
Consider the perfect square trinomial ...
(x -a)² = x² -2ax +a²
The constant (a²) is the square of half the x-coefficient.
For your trinomial, the square of half the x-coefficient is ...
C = ((-10/3)(1/2))² = (5/3)² = 25/9
x =
12
9
6 2/3
help me out please you guys are awesome ^-^
the answer is x = 6 2/3
ok done. Thank to me :>
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 4/3x - 3
Step-by-step explanation:
1. Find two pints on the line: ((3,1) and (6, 5).
2. Find the slope: Slope = (change in y-values)/(change in the x-values).
Slope = (5 - 1)/(6 - 3) = 4/3
3. Use the slope and one point and substitute into y = mx + b to solve for "b"
y = mx + b slope = 4/3 and point (3, 1)
1 = 4/3(3) + b 4/3 · 3/1 = 12/3 = 4
1 = 4 + b
1 - 4 = b
-3 = b
4. Write the equation of the line: m = 4/3 and b = -3 Substitute into y = mx + b
y = 4/3x - 3
Solve for b.
8b−1=24b+4
ans = -7
Answer:
Step-by-step explanation:
yeah your answer was wrong so you clearly need help
8b-1=24b+4
subtract 4 from both sides
8b-5=24b
subtract 8b from both sides
-5=16b
divide by 16
b=-5/16
Answer:
b = -5/16
Step-by-step explanation:
8b - 1 = 24b + 4
8b - 24b = 4 + 1
-16b = 5
16b = -5
b = -5/16
Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
A. m = 4 Point = (1/3, 1)
B. m = 1/3 Point = (1,-4)
C. m = 1/3 Point = (1, 4)
D. m = 1/3 Point = (-1, 4)
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form
with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B
can someone help me solve questions 29-31 pls
Answer:
100.
...................
Find the least common multiple of: 2v^2y^7 and 11v^4y^8x^3
Answer:
2v6y719x3
Step-by-step explanation:
(1): "x3" was replaced by "x^3". 2 more similar replacement(s).
STEP 1
Equation at the end of step 1
(((2v2 • y711) • v4) • y8) • x3
STEP 2
Final result :
2v6y719x3
A store buys 14 sweaters for $154 and sells them for $448. How much profit does the store make per sweater?
Answer:
Profit = $21
Step-by-step explanation:
14 sweaters = $154
Cost of 1 Sweater = 154 ÷ 14
= $11
New Cost for 14 Sweaters = $448
New Cost of 1 Sweater = 448 ÷ 14
= $32
Profit Per Sweater = 32 - 11
= $21
Full Profit = 448 - 154
= $294
Answer:
21
Step-by-step explanation:
21
Is -51/5 rational or irrational
Please man, I need this answer as fast as possible. Thank You!!!!
Answer:
-5f
and
2g
Step-by-step explanation:
what is the total length of the two ladders 11.4 ft. 5.8ft.
Answer:
17.2ft
Step-by-step explanation:
just add
11.4+5.8=17.2
X/2-1/5=x/3+1/4
Plz I need fast
Answer:
X= - 6/20
Step-by-step explanation:
Find the lcm in both sides,,,
Do a cross multiple of the sides,
Solve for X:
6(4X - 6) + 5 = 8X + 4X - 28 + 12X + 5 - 8
Answer:
I think it's infinantly many solutions
Step-by-step explanation:
6•4x= 24x.
6•-6=-36. 8x+4x+12x=24x 24x-36+5 -28+5-8=-31
24x-31 24x-31
sorry that's it's set up so wierdly
Answer:
Any value of X makes the equation true.
Step-by-step explanation:
Does anyone know this?
Answer:
△RED~△TAN
Step-by-step explanation:
Both triangles are similar, even if they have different sizes. They still retain the same degrees.
Proof: Angle RED
180 - 110 - 28 to find m∠E.
m∠E = 42
m∠A = 42
m∠E = m∠A
You need to collect at least 32 shells to create a necklace. Your friend gave you 14 and you already had 6. How many more shells do you need to make a necklace? *
Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.
Answer:
(x-6)(x+6) pairs with x^2-36
9x^2-1 pairs with (3x-1)(3x+1)
4(x+2)(x-2) pairs with 4x^2-16
Step-by-step explanation:
A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data What is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:
Answer:
35
Step-by-step explanation:
210 - 175 = 35
175 - 140 = 35
140 - 105 = 35
105 - 70 = 35
I hope this helps!
Find x in terms of the other letters a( x + b ) = c( x + d )
Answer:
[tex]x=\frac{cd-ab}{a-c}[/tex]
Step-by-step explanation:
The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.
First step is to distribute the a and c on either side,
ax+ab=cx+cdSubtract cx from both sides,
ax+ab-cx=cdNext, subtract ab from both sides,
ax-cx=cd-abThen, factor out x from the left side,
x(a-c)=cd-abFinally, divide both sides by a-c,
[tex]x=\frac{cd-ab}{a-c}[/tex]Owen invested $81,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 % compounded continuously. Zoe invested $81,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded monthly. After 9 years, how much more money would Owen have in his account than Zoe, to the nearest dollar?
Answer: $6322
114800.8806 - 108478.6929
= 6322.1877
Rounded to the nearest dollar = $6322
Answer:6761
Step-by-step explanation:
find the unit rate for this problem
45 tacos for 15 people ______ to is per person
No link please!!!
Answer:
45/15 = 3
Step-by-step explanation:
3 tacos per person
Answer:
3 tacos for 1 person
Step-by-step explanation:
45 tacos / 15 people
Divide the top and bottom by 15
(45/15) / ( 15/15)= 3/1
3 tacos for 1 person
At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?
Which proportion is not true?
A) BC/CD=FG/GH
B) AC/CD=EG/GH
C) BD/FH =AD/EH
D) AB/AE=EF/BF
Answer:
c I think that is the answer
What is the average rate of change of the function f(x)=4x^2+3x on the interval [1,5]
Answer:
7, though I don't know if it's 100% correct. I tried to help.
Step-by-step explanation:
f(x) = 4x^2 + 3x interval [1,5]
f(1) = 4(1)^2 + 3(1)
f(1) = 4 + 3
f(1) = 7
Answer:
[tex]\boxed {\boxed {\sf 27}}[/tex]
Step-by-step explanation:
The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.
[tex]\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}[/tex]
Let's assign 1 to x₁ and 5 to x₂.
[tex]\frac {f(5)-f(1)}{5-1}[/tex]
We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.
f(x)= 4x² + 3x
f(5) = 4(5)² + 3(5) f(5)= 4(25) + 15 f(5) = 100 + 15 =115f(1)= 4(1)² + 3(1) f(1)= 4(1) + 3 f(1)= 4+ 3 =7
Now we can find the average rate of change. We know the outputs and we know the inputs.
[tex]\frac {f(5)-f(1)}{5-1}[/tex]
[tex]\frac {115 -7}{5-1}[/tex]
[tex]\frac {108}{4}[/tex]
[tex]27[/tex]
The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.
please help !! find the measure of ∠1 and ∠2. justify your answers
Answer:
angle 1 = 45° because vertical angles
angle 2 = 135° because supplementary angles
Step-by-step explanation:
∠1 = ∠a, ∠a = 45°
∠2 + ∠a (45°) = 180°
180° - 45° = 135°
Answer:
Angle 1= 45 degrees, angel 2= 135
Step-by-step explanation:
you know that line b has a 45 degree angle on a 180 total, so to find angle 1 you just move the 45 as they are the same, to find angle b you substract 45 from 180 getting 135
-1.3(x+3)-12.4=-24.1
Answer:
6.02
Step-by-step explanation:
Answer:
x=-12
Step-by-step explanation
1.3x+3.9-12.4=-24.1
1.3x+3.9=-11.7
1.3x=-15.6
x=-12
If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?
Answer:
I think by mental math it would be 2.8 feet.
Step-by-step explanation:
What is 0.375 as a whole percent?
Answer:
0.375 is 37.5 % of 1
Step-by-step explanation:
please help me in questions 19, 21, 24 and i’ll mark u as brainliest i promise
Answer:
19. m = -3; f(x) = -3x +5
21. m = 0; f(x) = 9
24. m = -3/2; f(x) = -3/2x +18 1/2
Step-by-step explanation:
The slope of the function is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
The y-intercept (b) can be found from the table when it includes a point (x, y) = (0, b). If the table doesn't have the y-intercept, it can be found from ...
b = y -mx
When m and b are known, the slope-intercept equation is ...
f(x) = mx +b
__
19.m = (11 -14)/(-2 -(-3)) = -3/1 = -3
The slope is -3. The function is f(x) = -3x +5.
__
21.m = (9 -9)/(2 -3) = 0/-1 = 0
The slope is 0. The function is f(x) = 9.
__
24.m = (14 -17)/(3 -1) = -3/2
b = 17 -(-3/2)(1) = 18 1/2
The slope is -3/2. The function is f(x) = -3/2x + 18 1/2.
describe fully the single transformation that maps triangle A onto triangle B.