Answer:
Step-by-step explanation: f1 =7
f2 = 5(7) + 2 = 37
f3 = 5(37) + 2 = 27
f4 = 5(9) + 2 = 47____
The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,
121.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.
By this pattern,
f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].
f(4)f(4) = [f(3) + 2f(4)][f(3) + 2f(4)].
f(4)f(4) = [f(3) + 2(4)][f(3) + 2(4)].
f(4)f(4) = [3 + 8][3 + 8].
f(4)f(4) = [11][11].
f(4)f(4) = 121.
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teresa purchased a prepaid phone card for $30. Long distance calls cost 7 cents a minute using this card. Teresa used her card only once to make a long distance call. if the remaining credit on her card is $28.32, how many minutes did her call last?
Answer:
24min
Step-by-step explanation:
30-28.32=1.68
1.68/0.07cents=24
0.5 e + 20= 25
solving equations
Answer:
e = 10
Step-by-step explanation:
Simplifying
0.5e + 20 = 25
Reorder the terms:
20 + 0.5e = 25
Solving
20 + 0.5e = 25
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 0.5e = 25 + -20
Combine like terms: 20 + -20 = 0
0 + 0.5e = 25 + -20
0.5e = 25 + -20
Combine like terms: 25 + -20 = 5
0.5e = 5
Divide each side by '0.5'.
e = 10
Simplifying
e = 10
Answer:
e = 1
Step-by-step explanation:
0.5e + 20 = 25
0.5e = 5
e = 1
You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1
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shenika is inviting 7 friends to a party. if each friend will get 5 cookies and each box has 12 cookies. how many boxes does shenika need to get
Answer:
Shenika invites 7 friends and each one gets 5 cookies.
= 7*5
= 35
Based on above answer, Shenika will need a total of 35 cookies for all.
-----------------------------------------------------------------------------------------------------------
Each box has 12 cookies.
Total cookies = 35
Let the number of boxes be x.
12*x = 35
x = 35/12
x = 2.9
This means she would need 3 boxes.
What is the APR on a loan with a monthly periodic rate of 1.75%
Can somebody help? Tysm
Find the inverse of the linear function.
anyone pls?
Answer:
A
Step-by-step explanation:
inverse means flipping the signs and the numbers of the function
Answer: x - 10/5 = y
(x-5) divided by (x^2+3x-40)
Answer:
1/ x +8
*The 1 over x + 8
Answer:
[tex]\frac{1}{x+8}[/tex]
Step-by-step explanation:
Here is your original equation:
[tex]\frac{x-5}{x^{2} +3x-40}[/tex]What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):
[tex]x^{2} +3x-40[/tex]
Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.
Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)
We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.
[tex]x^{2} +3x-40 = (x+)(x-)[/tex]
Next, let's look at the factors of 40:
1 and 40 2 and 20 4 and 10 5 and 8
Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!
[tex]8-5=3[/tex]In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].
[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]Now let's go back to our original equation and substitute our old expression with the new one:
[tex]\frac{x-5}{(x+8)(x-5)}[/tex]Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].
[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]Therefore, your simplified answer is [tex]\frac{1}{x+8}[/tex] !
Here's the whole process:
[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]
To check your answer, confirm your expressions using the box method attached.
I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!
State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people
Answer:
144
Step-by-step explanation:
The independent variable in the linear relationship is the number of people.
The dependent variable in the linear relationship is the cost of the dinner.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of dinner for 3 people = $42
Cost of dinner for 7 people = $98
The cost of dinner for one person = $14
Now,
The linear function for this relationship.
f(x) = 14x
Where x is the number of people and f(x) is the cost of the dinner.
Now,
The number of people is the independent variable.
The cost of dinner is the dependent variable.
Thus,
Independent variable = Number of people/
Dependent variable = Cost of the dinner.
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Can I try answering questions that are on your profiles
Please I need to earn points and brainliest
Answer:
Ok
Step-by-step explanation:
Go for it
I need help on this question
Answer:
5 square feet
Step-by-step explanation:
First, you need to convert the inches into feet
24: 2
30: 2.5
2*2.5= 5
So it is 5square feet
Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!
Answer:
6<x<9Step-by-step explanation:
from the graph above the non linear paths are the curves on the Cartesian plain
on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9
___________ is a share of ownership in a business or company.
Answer:
Shares
Step-by-step explanation:
PLS GIVE BRAINLIEST
Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?
Answer:
$63.00
Step-by-step explanation:
Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.
Your equations look like this:
Tip equation: .18 * 50 = $9.00
Tax equation: .08 * 50 = $4.00
Then you just add them all up to get the total, and you get,
9+4+50 = 63
Need explanation for how to find "E"(in the picture attached), and how to calculate "sin".
Answer:
Step-by-step explanation:
E is just that Vertex/Angle.
[tex]sin[/tex] is a measure of an angle.
You should learn SOHCAHTOA
[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]
The opposite side is relative to the angle.
In this case, the opposite of E is 20
The hypotenuse is 29
so,
[tex]sin(E)= \frac{20}{29}[/tex]
in a school, the number of boys is 9 more than thrice a number of girls. if the total role of class is 60. what is the total role of girls .
first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
show work / explain it
Answer:inequality form x ≤ -1
for 3x + 9 ≤ 6
Step-by-step explanation:isolate the variable by dividing eash side by factors that dont contain the variable
Answer:
Answer Varies
Step-by-step explanation:
For the 1st equation, there are a lot of numbers that could fit x, such as any negative number, such as -1,-2,-3, etc. For the 2nd equation, 9 and below would work. Please correct me if I am wrong because everybody makes mistakes.
Square root -80 by using imaginary unit I
Motocross The path that a motocross dirt bike rider follows during a jump is given
by y = -0.4x² + 4x + 10 where x is the horizontal distance (in feet) from the edge
of the ramp and y is the height (in feet). What is the maximum height of the rider
during the jump?
20
18
16
14
12
Height (feet)
10
6
4
2
0 2 4 6 8 10 12
Horizantal distance feet)
My
Answer:4.4x+10
Step-by-step explanation:
CAN YOU HELP ME thank you 10pts
9514 1404 393
Answer:
m∠CAB = 62°
m∠CBG = 114°
Step-by-step explanation:
Given:
the above figure
Find:
What are the measures of angles CAB and CBG
Solution:
The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.
So, angle CBE = 150° -84° = 66°
Angle CBG is the supplement of this, so is ...
m∠CBG = 180° -66° = 114°
That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...
m∠CAB = 114° -52° = 62°
5p - 13 < 32
Please and thank you
Answer:
p < 9
Step-by-step explanation:
5p-13<32
Subtract 13 from both sides.
5p<45
divide 5 from both sides
p < 9
simplify!!
6x - 2+7x
Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
BRAINLIEST TO FIRST RIGHT NO WORK
there are 59 balls of 4 different colors in a box. If 51 balls are taken then at least one ball of each color appears among the taken balls What is the minimum number of balls that must be taken so that three different colors appear among the taken balls
Answer:
Im pretty sure its 77
Step-by-step explanation:
Answer: its 32
Step-by-step explanation:
Solve
Which equation in point-slope form, is represented by this graph?
y
−
3
=
1
2
(
x
−
4
)
y−3=
2
1
(x−4)
y
=
2
x
+
4
y=2x+4
y
−
3
=
3
(
x
−
4
)
y−3=3(x−4)
y
−
3
=
1
2
(
x
−
7
)
y−3=
2
1
(x−7)
Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor
Answer:
346
Step-by-step explanation:
i think
A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.
Answer:the greatest amount of children that can go is 30
Step-by-step explanation:
$20 x 30= $600
100 points
whats 9 times 3 plus 3 divided by 2
Answer:
hi
Step-by-step explanation:
28.5
Answer:
15
Step-by-step explanation:
According to the U.S. Bureau of the Census in its Current Population Reports (Series P60) the average
poverty threshold was $8241 for a three-person household in 1993. For a group of 81 three-person households
the standard deviation was $972. Find a 99% confidence interval for the average poverty threshold for a three-
person household.
Answer:
lkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
how many solutions does 6x - 18 = 4(2x - 3) - (2x +6)
Answer:
x=0
Step-by-step explanation:
6x-18=4(2x-3)-(2x+6)
We move all terms to the left:
6x-18-(4(2x-3)-(2x+6))=0
We calculate terms in parentheses: -(4(2x-3)-(2x+6)), so:
4(2x-3)-(2x+6)
We multiply parentheses
8x-(2x+6)-12
We get rid of parentheses
8x-2x-6-12
We add all the numbers together, and all the variables
6x-18
Back to the equation:
-(6x-18)
We get rid of parentheses
6x-6x+18-18=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
How does anyone know how to prove parallel lines, especially when there are two pairs of them?
Answer:
Step-by-step explanation:
If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.