Answer:
x=
2
f
2
−8f+4
−
2
f
+1
x=−
2
f
2
−8f+4
−
2
f
+1, (f
=0 and f≤4−2
3
) or f≥2
3
+4
Step-by-step explanation:
Brainily spaces it weird I hope this helps
The inverse function is f⁻¹(x) = ∛(x + 1). And the value of the function at x = 26 will be 3.
What is the inverse function?Let the function f is given as
y = m(x + a) + c
Then the inverse function of the function f will be given by swapping x with y and y with x.
The function is given as,
f(x) = x³ - 1
The inverse function of the function f(x) will be given as,
x = [f⁻¹(x)]³ - 1
[f⁻¹(x)]³ = x + 1
f⁻¹(x) = ∛(x + 1)
The value of the inverse function at x = 26 will be given as,
f⁻¹(26) = ∛(26 + 1)
f⁻¹(26) = ∛(27)
f⁻¹(26) = ∛(3³)
f⁻¹(26) = 3
The inverse function is f⁻¹(x) = ∛(x + 1). And the value of the function at x = 26 will be 3.
More about the inverse function is given below.
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Write your question here (Keep it simple and clear to get the best answer)striangle has vertices A(2;5); B(1;-2) and C(-5;1). Determine:(a) the equation of the line BC. (b) The equation of the perpendicular line from A to Bc
(a) y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
(b) y = 2x + 3
Step-by-step explanation:
(a) The equation of a line given by points M(x₁, y₁) and N(x₂, y₂) is given by:
y - y₁ = m(x - x₁) -------------------(i)
Where;
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = slope or gradient of the line ---------------(ii)
Given points on the triangle are:
A(2,5)
B(1,-2)
C(-5,1)
To find the equation of line BC, we use the formulas in equations (i) and (ii) where the points of the line are B(1,-2) and C(-5,1) and;
x₁ = 1
y₁ = -2
x₂ = -5
y₂ = 1
==> First get the gradient using equation (ii) as follows;
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]\frac{1 - (-2)}{-5 -1}[/tex]
m = [tex]\frac{3}{-6}[/tex]
m = [tex]\frac{-1}{2}[/tex]
==> Now, use equation (i) to find the equation of the line as follows;
y - (-2) = [tex]\frac{-1}{2}[/tex](x - 1)
y + 2 = [tex]\frac{-1}{2}[/tex](x - 1)
Multiply both sides by 2
2(y+2) = -1 ( x - 1 )
2y + 4 = -x + 1
2y = -x + 1 - 4
2y = - x - 3
y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
Therefore, the equation of the line is y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
(b) To find the perpendicular line from A to BC, note that
i. two lines are perpendicular if they meet at 90°
ii. the general equation of a line could also be written as y = mx + c where m is the slope and c is the intercept.
iii. when one line has a slope of m, then a perpendicular line to that line will have a slope of [tex]\frac{-1}{m}[/tex]
The equation of line BC is y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex].
This means that BC has a slope of [tex]\frac{-1}{2}[/tex]
A perpendicular line from A to BC will have a slope of 2.
Now to get the equation of this perpendicular line from A(2, 5) to BC, we use the general equation of a line given in equation (i)
where;
m = 2
x₁ = 2
y₁ = 5
Substitute these values into equation (i)
y - 5 = 2(x - 2)
Solving by simplification gives;
y - 5 = 2x - 2
y = 2x + 3
Therefore, the equation of the perpendicular line is y = 2x + 3
what is the correct answer??
Answer:
8 x 10 = 80
80 divided by 2 = 40
6 x 8 = 48
48 divided by 2 = 24
40 + 24 = 64 in2 is your answer.
Formula of a triangle:
B(base) x H(height) x 1/2(basically dividing by 2)
Rays PQ and PS are perpendicular to each other.
What is the measure of LRPS plzzzzz
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
18 minutes left hwhsusbe
Answer:
so its D
Step-by-step explanation:
a is wrong becuase it does have 6
b is wrong becuase you make into 6 triangles
c is wrong becuase it does add up to 180 degrees
Can someone explain this?
A ladder 12.2 meters long can be so placed that it will reach a window 10.1 meters above the ground on one
side of the street. If a person tips it back without moving its foot, it will reach a window 6.4 meters above the
ground on the other side of the street. Find the width of the street.
Answer:
17.2 meters
Step-by-step explanation:
This is a right triangle problem
a^2 + b^2 = c^2
The 1st triangle:
a^2 + 10.1^2 = 12.2^2
a^2 = 12.2^2 - 10.1^2
a^2 = 46.83
a = 6.8432448444
The 2nd triangle
a^2 + 6.4^2 = 12.2^2
a^2 = 12.2^2 - 6.4^2
a^2 = 107.88
a = 10.3865297381
---------------------------------
Width = 6.8432448444 + 10.3865297381
Width = 17.2297745825
Width ≈ 17.2 meters
A rectangular garden is 6 × 10^4 cm long and 3 × 10^5 cm wide. What is the area of the garden?
Answer:
(1.)6×10-4=56 (2.) 3×10-5=25
Answer:2 x 10^9
Step-by-step explanation:
i think of a number add three to it and multiply the outcome by 7 the solution is 24.5 set up an equation and solve it to find my original number
Determine the area of a circle whose diameter is 8 in Use 3. 14 for TT Enter your answer in the box. Round to the nearest hundredth, if necessary. A= blank inches squared
Answer:
50.24
Step-by-step explanation:
Area = pi*r^2
r = diameter/2
r = 4
Area = pi*4^2
Area = 3.14*16
Area = 50.24
Answer:
Step-by-step explanation:
The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.
Here, with the circle diameter being 8, we figure the radius to be half that, or 4.
Then the area of this circle is A = (3.14)(4 in)², or
A = 50.24 in²
Type in the value of x.
12x - 2
130°
Answer:
Good question could someone answer it. I would like to know also
Help please and please no links
find the expected value of the winnings from a game that has the following payout probability distribution. Pls help
Answer: it’s 10.0
Step-by-step explanation:
Can you please help me with this?
Sabrina has gone to work the last 50 days. On 28 of those days, she arrived before 7:30 A.M. On the rest of the days, she arrived after 7:30 A.M. What is the experimental probability that she will arrive at work before 7:30 A.M. On her next day of work? What is the experimental probability that she will arrive after 7:30 A.M.?
Answer:
Prob (Arrive before 7.30) = 14 / 25 ; Prob (Arrive after 7.30) = 11 / 25
Step-by-step explanation:
Prob (Arrive before 7.30) = No. of days before 7.30 arrival / Total work days
= 28 / 50 = 14 / 25
Prob (Arrive after 7.30) = No. of days after 7.30 arrival / Total work days
= (50 - 28) / 50 = 22 / 50 = 11 / 25
or , 1 - Prob (Arrive before 7.30) = 1 - 14/25 = (25 - 11) / 25 = 11/ 25
Explain why the following statement IS NOT a statistical question. "How
much electricity did Home 2 use on Day 1?"
Answer:
Because it only has one answer and there are no variety of answers.
hope this helps
I really need help right now someone help pls!!!
The function f(x) has a vertical asymptote at x= [blank].
Answer:
x = 0
Step-by-step explanation:
The vertical asymptote of this graph is the y-axis, that is, the line x = 0
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Answer:
[tex]390ft^2\\[/tex]
Step-by-step explanation:
Ok so we have 2 (congruent) triangles and 3 rectangles.
Your main approach to this problem should be to find the area of each of the faces and adding them up to get to your final answer. Your question makes a point of including the correct unit in your answer. Since this is surface area, the unit would be [tex]ft^2[/tex]
Now let's start:
First, I am going to start with finding the area of the rectangles.
[tex]12\cdot11=132\\13\cdot11=143\\5\cdot11=55\\\\55+143+132=330[/tex]
Alright, next lets move on to the triangles.
They are both the same, if you notice. So find one and double it.
[tex]12\cdot5=60\\\frac{60}{2}=30\\30\cdot2=60[/tex]
now lets add em all
330+60
= 390 and thats your final answer, dont forget to include the unit, ft^2
Based on information given in table 2, how many males from a randomly selected population of 100,000 males live to the age of 44 years?
Answer:
94,533 males live to the age of 44 years.
Answer:
Step-by-step explanation:
94,533
What is a perfect 5 pointed star
Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.
Step-by-step explanation:
A unicycle wheel has a diameter of 25 inches. How many inches will the unicycle travel in 4 revolutions?
Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
1963.48Step-by-step explanation:
25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=
π = 490.87 x 4= 1963.48
Plz helpppppppppp...
Answer:
72
Step-by-step explanation:
This is the answer to the question
It is 9.9cm
Answer:
9.9cm
Step-by-step explanation:
If side h cm is opposite of 51° and side 8cm is adjacent to 51°, use the tangent function to calculate the opposite side h cm:
tan(51°)=opposite/adjacent=h/8
tan(51°)=h/8
8tan(51°)=h
9.879177252=h
9.9=h
Therefore, the value of h is 9.9cm
the sum of three consecutive numbers is 45. what is the lowest
Answer:
Step-by-step explanation:
5,1, 9
Answer:
5,1 and 9 like said above sksksk
Step-by-step explanation:
Oranges
5 for $4.00
Jill bought $48.00 worth of oranges. She resolo
each orange for $2.00 each. Calculate the
amount of profit she made.
Answer:
$72 profit
Step-by-step explanation:
Answer:
$72 Profit made
Step-by-step explanation:
$48/4 = 12
12 times 5 = 60 oranges
60 times 2 = $120
$120 - $48 = $72
A small business wants to meet the minimum medical loss ratio required. If projections show that the business will pay out an average of $8,900 per policy holder in health care claims, what is the minimum average premium they should charge per policy holder?
Answer:
$7120 or $7565 is the minimum average premium they should charge per policy holder
Step-by-step explanation:
Small business can charge 80-85% of the total value of the policy as premium.
In this case the spending per policy holder is $8900
Hence, per policy holder has to pay a premium of
80-85% of $8900
$7120 or $7565 is the minimum average premium they should charge per policy holder
Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?
Answer:
8 meters
Step-by-step explanation:
4x2=8
which fraction is not greater than 2/5
1/2
1/3
2/3
2/4
Answer:
1/2
Step-by-step explanation:
hope it helped u alot
Answer:
1/3 is not greater than 2/5
Step-by-step explanation:
Doug worked out for 256 minutes.
Doug has an enemy named Cathy
Cathy worked out a total of 4 hours and 15 minutes.
Who worked out more? What was the difference in minutes?
Answer:
Step-by-step explanation:
Cathy worked 4 hours.
4 hours = 4 * 60 = 240 minutes
She worked an additional 15 minutes which brings her total up to 255.
Doug worked 1 minute longer than Cathy.
Answer:
a.) Doug worked more. b.)The difference is one minute.
Step-by-step explanation:
CAN BE DONE DIFFERENTLY
Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.
60
x4
240
Now adding the 15 it'll be 255.
DOUG WORKED MORE.
DIFFERENCE IS 1 MINUTE.
Select the correct answer.
A chemist has 50 grams of the isotope gold-196 which has a half-life of one week. This means that the amount of the sample decreases
by half each week. Determine the equation and the graph of its solution set to represent the amount of gold-196 over the course of
several weeks.
Answer:
Step-by-step explanation:
Y=25{1/2) x
Answer:
The answer is W.
Step-by-step explanation:
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled net change with entries blank, + one-fourth. What was the price of the XYZ bond on the previous day? a. 100StartFraction 2 Over 6 EndFraction b. 100Three-fourths c. 100One-fourth d. 100One-third
Answer:
C. 100 1/4
Step-by-step explanation:
Just finished the test
Based on the information given in the table, the price of the XYZ bond on the previous day was $100 and three-fourths is 100Three-fourths. The correct option is b.
What is Stock?A stock, also known as equity, is a financial instrument that represents ownership of a portion of the issuing corporation.
As per the information given in the table, the price of the XYZ bond on the previous day was $100 and three-fourths.
This is because the table indicates that the current yield for the XYZ bond is 8.4, the volume is 17, the close price is 100 and one-half, and the net change is + one-fourth.
To calculate the previous day's price, we can use the following formula:
Previous day's price = Today's price - Net change
Plugging in the values from the table, we get:
Previous day's price = 100 and one-half - one-fourth
= 100 and three-fourths
Therefore, the answer is b. 100Three-fourths.
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