Answer:
The only zero of [tex]F^{-1}(x)[/tex] is [tex]3[/tex].
Step-by-step explanation:
The function [tex]F^{-1}[/tex] is the inverse of function [tex]F[/tex].
For a given [tex]x[/tex] and a given [tex]y[/tex], [tex]F^{-1}(y) = x[/tex] if and only if [tex]F(x) = y[/tex].
Let [tex]y[/tex] be a zero of [tex]F^{-1}(y)[/tex]. That is, [tex]F^{-1}(y) = 0[/tex].
By the reasoning above, since [tex]x = 0[/tex] and this particular [tex]y[/tex] satisfy [tex]F^{-1}(y) = x[/tex], it must be true that [tex]F(x) = y[/tex] for the same [tex]x = 0\![/tex] and [tex]y\![/tex].
Since [tex]x = 0[/tex] and [tex]F(x) = x + 3[/tex], [tex]F(0) = 3[/tex]. Therefore, [tex]y = F(0) = 3[/tex] since [tex]y = F(x)[/tex].
Thus, the zero of [tex]F^{-1}(y)[/tex] would be [tex]y = 3[/tex].
A motorboat takes 4 hours to travel 192 kilometers going upstream.
The return trip takes 3 hours going downstream.
- What is the rate of the boat in still water?
- What is the rate of the current?
Answer:
Step-by-step explanation:
let b be boat velocity
let c be current velocity
(b - c)4 = 192
(b + c)3 = 192
(b - c)4 = (b + c)3
4b - 4c = 3b + 3c
b = 7c
(7c - c)4 = 192
(6c)4 = 192
24c = 192
c = 8 km/hr
b = 7(8) = 56 km/hr
Use finite approximation to estimate the area under the graph of f(x) = 5^2 and above the graph of f(x) = 0 from X(o) = 0 to x(n )= 14 using b) a lower sum with two rectangles of equal width. in) a lower sum with four rectangles of equal width. in) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width.
Finite approximation method of estimating the area under the curve of the
given function makes use of rectangular approximation of the area.
The correct responses are;
i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.
ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.
iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.
Reasons:
The given function is f(x) = 5·x²
The given domain is x₀ to x₁₄
i) Estimate using lower sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(0) = 0
f(7) = 5 × 7² = 245
A = 0 × 7 + 245 × 7 = 1,715
The estimated area using a lower sum with two rectangles of equal width
is 1,715 square units.
ii) Estimate using lower sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(0) = 0
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25
The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) Estimate using an upper sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(7) = 5 × 7² = 245
f(14) = 5 × 14² = 980
A = 245 × 7 + 980 × 7 = 8575
The estimated area using an upper sum with two rectangles of equal width
is 8,575 square units.
iv) Estimate using an upper sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
f(14) = 5 × 14² = 980
A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25
The estimated area using a upper sum with four rectangles of equal width
is 6,431.25 square units.
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What are the slope and y-intercept of the linear function?
2
-3 -2 -1.
2
оа
Oь
slope:-2: y-intercept: 2
1
slope: 2 :y-intercept: 1
Ос
1
slope: 2 :y-intercept: 2
slope: 2; y-intercept: 1
Od
5+5+5+5+2454+76492+69238120+65928
Answer:
5 + 5 + 5 + 5 + 2454 + 76492 + 69238120 + 65928 = 69383014
Step-by-step explanation:
69383014 is the answer, I used a calculator
Please let me know if Im incorrect
Answer:
5+5+5+5+2454+76492+69238120+65928=69383014
For the following exercises, find dy/dx for each function:
[tex]y= 1 / sin^2(x)[/tex]
Answer:
-2csc^2(x)cot(x)
Step-by-step explanation:
by derivative sin^-2(x)
I'm not sure how I can find my answer, any help?
Answer:
The next number would be 3
Step-by-step explanation:
As you can see its a repeating pattern of "1739"
Answer:
3
Step-by-step explanation:
1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...
Write the equation of the line, given the y and x-intercepts. a x-intercept = –68, y-intercept = –34
Answer:
In slope-intercept form, y = -17/34 - 34
Step-by-step explanation:
For the two points, you have (-68, 0) and (0, -34). To get the slope, you take (y-y) / (x-x). Stay consistent on the order you do those. After I did (-34 - 0) / (0 - 68), simplified it, and got a slope of -17 / 34. You are already given the y-intercept, so you just write the equation from there (y = -17/34 - 34)
How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST
per
A man deposited $80,000.00 in
bank at a 12% compound interest
annum. How much did the man have
in the bank at the second year?
e
Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352
The compound interest relationship is computed using the relation :
Final amount = P(1 + r)^tP = principal ; r = interest rate ; t = periodPlugging the values into the formula :
Final amount = 80000(1 + 12%)²
Final amount = 80000(1 + 0.12)²
Final amount = 80000(1.12)²
Final amount = $100352
Therefore, the final amount in the second year is $100352
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If you can help please and thanks
Answer:
Cost of each pendant = $2.80
Step-by-step explanation:
Since we're given information regarding the total cost of beads, $13.20, and the total cost of beads and pendants for all 4 necklaces, $24.40:
Let b = beads
p = pendants
C = total cost of beads and pendants for all 4 necklaces.
b + p = C
$13.20 + p = $24.40
$13.20 - $13.20 + p = $24.40 - $13.20
p = $11.20 (This represents the total cost of 4 pendants).
To find out the cost of each pendant, divide $11.20 by 4:
$11.20 ÷ 4 = $2.80
Therefore, the cost of each pendant is $2.80.
Answer:
I'm 50% sure it's $7.52 though I may be wrong
Please answer this question!!!
Answer:
C: 3x (x-3)=0
Step-by-step explanation:
3x=0 or x-3=0
x=0 or x=3
10
What is the volume of the rectangular prism,
if the length of one cube is 1 cm?
Answer:
60 cubic centimetres
what is the purpose of using measures of variability?
What two numbers multiply to 10 and add to 9
Simplify the variable expression by evaluating its numerical part, and enter your answer below.
(13 - 6) • w
Answer:
7w
Step-by-step explanation:
Simplify the parenthesis first
(13-6)=7
Then multiply by the w
7*w=7w
(13-6)*w=7w
* Can be rewritten as (13-6)w or w(13-6) or w*(13-6).
0.25555555 as a fraction
Answer:
23/90
Step-by-step explanation:Sorry if it's wrong!!!
Diane took a loan out for $3000 for 11 months and was charged a simple interest. The total interest she paid was $253. What’s her interest rate
Answer:
$300
Step-by-step explanation:
Diane's interest rate on the loan is approximately 8.43%.
Let's determine Diane's interest rate step by step.
1. First, we need to understand the formula for simple interest:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T)
where:
P = Principal amount (initial loan amount)
R = Interest rate (unknown, what we want to find)
T = Time period in years
2. We have the following information from the problem:
P = $3000 (Principal amount)
SI = $253 (Total interest paid)
T = 11 months
3. However, to use the formula, we need to convert the time from months to years. Since 1 year has 12 months, we can write:
T = 11 months ÷ 12 months/year
≈ 0.917 years
4. Now, let's rearrange the formula to solve for the interest rate (R):
R = SI / (P × T)
Substituting the given values:
R = $253 / ($3000 × 0.917) ≈ 0.0925
5. Finally, we need to convert the interest rate from a decimal to a percentage:
R = 0.0925 × 100 ≈ 8.43%
So, Diane's interest rate on the loan is approximately 8.43%.
In summary, to find the interest rate, we used the simple interest formula and rearranged it to solve for the rate. We converted the time from months to years before calculating the interest rate. The result is approximately 8.43% interest rate, indicating the percentage of the principal that Diane had to pay as interest over 11 months.
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What is the value of 7x (3 + x/4) when x= −8?
A −280
B −170
C −56
D 280
PLEASE HELP ME
Answer:
-56
Step-by-step explanation:
Equation = 7x( 3 + x/4)
f(x) = 7x( 3 + x/4)
f(-8) = 7( -8 )( 3+ -8/4 )
f(-8) = -56 ( 3+ ( - 2 ))
f(-8) = -56( 1 )
f(-8) = -56
-Chetan K
12. Una notaría cobra $3500 por elaborar un título de propiedad y $2000 por el acta constitu-
tiva de una empresa. En un mes realizó un total de 22 operaciones, entre títulos y actas que
representaron un ingreso total de $53000. ¿Cuántos títulos y actas se elaboraron?
Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.
Para el sistema, hay que:
x es el número de títulos elaborados.y es el número de actas elaboradas.Total de 22 operaciones, o sea:
[tex]x + y = 22[/tex]
$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:
[tex]3500x + 2000y = 53000[/tex]
De el primer ecuación:
[tex]y = 22 - x[/tex]
Reemplazando en la segunda:
[tex]3500x + 2000y = 53000[/tex]
[tex]3500x + 2000(22 - x) = 53000[/tex]
[tex]1500x = 9000[/tex]
[tex]x = \frac{9000}{1500}[/tex]
[tex]x = 6[/tex]
[tex]y = 22 - x = 22 - 6 = 16[/tex]
Se elaboraron 6 títulos y 16 actas.
Un problema similar es dado en https://brainly.com/question/24646137
2
73. A firm's profits equal $100 if
A. its total revenue is $100.
B. the sum of its total revenue and its total cost is $100.
C. the difference between its total revenue and its total cost is $100.
D. its total cost is $100.
Answer:
What is C. the difference between its total revenue and its total cost is $100.
Step-by-step explanation:
Revenue is the total amount of income generated by the sale of goods or services related to the company's primary operations. ... Profit is the amount of income that remains after accounting for all expenses, debts, additional income streams, and operating costs. Revenue-Sales= PROFIT
Please allow me to know if I have helped you by clicking thank you, rating or brainly.
Miss Hawaii
Guys please help this is making my brain hurt I will give brainliest btw
Answer:
in order from the top down
2,5,1,4,5
A
E
40 - 200
Z
2
What is 1/2•40•200?
Answer:
4000
Step-by-step explanation:
1/2 · 40 · 200 = 20 · 20020 · 200 = 40004000Therefore, the answer is 4000.
Find YZ and XY so I can put em in the boxes :)
Answer:
........................
help with question 4 please
Answer:
dont know
Step-by-step explanation:
sorry
Please help! Not sure what the question is asking exactly and need this last problem done asap!
Answer:
look at the photo..............
9514 1404 393
Answer:
log₅(21) = log₅(3) +log₅(7)
Step-by-step explanation:
The relevant relation is ...
log(ab) = log(a) +log(b)
where the logs have any consistent base.
__
Here, we have ,,,
ab = 21 = 3·7.
Then ...
log(21) = log(3) +log(7)
When the logs are to base 5, that becomes ...
log₅(21) = log₅(3) +log₅(7)
Need Help ASAP! Not too hard
Answer:
Step-by-step explanation:
Write an equation in slope intercept form for a
line that passes through (8,-3) and has a slope
of
2/3
9514 1404 393
Answer:
y = 2/3x -25/3
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx
Using the given values for x, y, and m, we find the intercept to be ...
b = -3 -2/3(8) = (-9 -16)/3 = -25/3
Then the equation of the line is ...
y = 2/3x -25/3
0.54 + 0.27 = ___
0.71
0.81
0.92
0.98
Answer:
0.81
Step-by-step explanation:
hopes that helps.......
Find the angles marked x,y and z.
ASAP
Answer:
x= 45°
y= 95°
z= 85°
hope this helps <3
Answer:
Step-by-step explanation:
x= 50
y+25=180(because it is on a straight line)
y+25=180
y+25=180
y+25-25= 180-25
y+0= 155
y= 155
z+ y=180
z+ 155= 180
z+ 155- 155 =180-155
z+ 0 = 25
z = 25
x = 50
y = 155
z = 25
heyyy if you tell me the correct answer I’ll give you’re answer a 5 thanks and brainlest please hurry
Answer:
29in
pls give brainliest tq
have a great day
