The resulting value of the equation after performing integration is , f(x) = -log(x) + log(1) - log(4).
Integrating on both the sides with respect to x.
⇒ ∫ f''(x)dx= ∫x-2dx
⇒ ∫ f''(x) dx = (x-2 + 1)/(-2 + 1) + C1
⇒ f'(x) = x-1/(-1) + C1
Then again performing integration ,
∫ f'(x) dx = -log(x) + C1 + x + C2
f(x) = -log(x) + C1 + x + C2
Now, since we know that f(1) =0
when x = 1 then f(1) =0
0 = -log(1) + C1 + C2
it is also given that ,f(4) = 0
0 = -log(4) + 4C1+ C2
We will subtract these two equations in order to get C1 and C2.
0 = -log(1) + log(4) - 3C1
3c1 = -log(1) + log(4)
= log(4/1) {since log(a) - log(b)
= log(a/b)}
C1 = log(4)/3
C1 = log(4)/3 and (2)
0 = -log(1) +(4/3)log(4) + C2
log(1) - (4/3)log(4) = C2
Therefore, the equation becomes
f(x) = -log(x) + [log(4)]/3 + log(1) - (4/3)log(4)
f(x) = -log(x) + log(1) - log(4)
To learn more about integration
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Please hurry and answer! Will mark brainliest!!!
Answer:
y = 2x + 3
Step-by-step explanation:
We need to find m and b
Let's input the first 2 points (3, 9) and (5, 13) into y = mx + b
9 = m*3 + b
13 = m*5 + b
subtract the first from the second
13 - 9 = m*5 + b - (m*3 + b)
4 = m*2
m = 2
Now let's input m = 2 into 9 = m*3 + b
9 = 2*3 + b
9 = 6 + b
3 = b
So the final relationship is y = 2x + 3
We can verify that the other two points (8, 19) and (11, 25) also conform to this relationship.
fill in the missing term in the equation.
(1+2i)(2+i)+ (_)= 5(2+i)
Answer: 10
Step-by-step explanation: I got this correct on Edmentum.
Which equation represents a linear function?
Equation 1: y = 2x2 + 1
Equation 2: y2 = 3x + 1
Equation 3: y = 5x − 1
Equation 4: y = 4x4 − 1
Equation 1
Equation 2
Equation 3
Equation 4
Answer:
The answer is Equation 3
Step-by-step explanation:
The answer is Equation 3. I got it
right on the FLVS test
Hope this helps!
:)
which function is the inverse of a quadratic function?
A. square root
b. absolute value
c. inverse variation
d. linear
9514 1404 393
Answer:
a. square root
Step-by-step explanation:
For function f(x) = x², the inverse function is found by solving ...
x = f(y)
x = y²
If we take the square root of both sides of this equation, we get ...
√x = y
That is, the inverse of the quadratic function f(x) is ...
f⁻¹(x) = √x . . . . . square root
A recipe uses cups of milk to make servings. If the same amount of milk is used for each serving, how many servings can be made using gallon of milk?
Answer:
128 servings
Step-by-step explanation:
A recipe Uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using one gallon of milk
Cups of milk : number of servings = 1 1/4 cups : 10 servings
One gallon of milk = 16 cups
Let x = number of servings
Cups of milk : number of servings = 16 cups : x
Equate both ratios
1 1/4 : 10 = 16 : x
5/4 ÷ 10 = 16/x
5/4 × 1/10 = 16/x
5/40 = 16/x
1/8 = 16/x
Cross product
1 * x = 8 * 16
x = 128 servings
Number of servings = 128
I need help please help me. This is hard.
Answer:
r=3.399
Step-by-step explanation:
82.3=1/2(4/3pir^3)
164.6=4/3pir^3
164.6*(3/4) = 123.45=pir^3
123.45/pi=39.2953554494=r^3
cube root of 39.2953554494 =3.399
r= around3.4
Find the surface area of the following triangular prism.
5 cm
4 cm
5 cm
11 cm
6 cm
Someone pleaseee help this is my second time I’ve asked the same question please help I need the last one
Answer:
yes,congruent
reflect about x=-2
translate up 4 and 3 to left
Step-by-step explanation:
same area so they're congruent
Find the are of the polygon 16m 10m 20m 8m
Answer:
Step-by-step explanation:
i need help btw i am in middle school
Answer:$32.86
Step-by-step explanation:
multiply the percent (6%) by 31$ which will get you 1.86. that's the tax amount. so then you add that to $31 and get $32.86
Answer:
C. 32.86
Step-by-step explanation:
The equation to calculate how much the tax is
31 x 0.06
This equals 1.86
Now add the original price and the tax amount together.
31 + 1.86 = 32.86
Therefore, the answer is 32.86
g(x)=-3x-8
g( )=10
what does x equal?
Answer: X = 24/G
G = 24/x
Step-by-step explanation:
HELPP ME PLSS I WASTED ALL MY POINTS ON THIS PLSSS HELPP NO SCAM OR BOTS PLS SOMEONE HELP MEEE A line which has an undefined slope is
Answer:
A vertical line
SOMEONE HELP ME FAST
Find the measure of the missing angle.
Answer: 50
Step-by-step explanation:
A right angle is 90 degrees. A triangle must add up to 180 degrees. Add 40 and 90 to get 130. Then subtract 180 from 130 to get 50.
Answer:
? = 50°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° for ?
? = 180° - (90 + 40)° = 180° - 130° = 50°
The number 64 is a perfect_____.
A. square
B. cube
C. square and cube
Answer:
square and cube
square- 8
cube- 4
Answer:
C) square and cube
Step-by-step explanation:
Square: 4×4×4×4=64
Cube: 8×8=64
Can I please have Brainliest?
also need help with this one!!
Triangle A B C. Angle C is 90 degrees. Hypotenuse side A B is c, C B is a, C A is b. Solve the right triangle shown in the figure. Angle B = 23.4 degrees, Side A B = 3.3 millimeters, angle C = 90 degrees a. Side B C = 2.2 millimeters, Angle A = 66.6 degrees, Side A C = 2.4 millimeters c. Side B C = 3.0 millimeters, Angle A = 66.6 degrees, Side A C = 2.2 millimeters b. Side B C = 3.0 millimeters, Angle A = 66.6 degrees, Side A C = 1.3 millimeters d. Side B C = 1.3 millimeters, Angle A = 66.6 degrees, Side A C = 3.0 millimeters
*see attachment for the figure
Answer:
Side BC = 3.0 millimeters, Angle A = 66.6 degrees, Side AC = 1.3 millimeters
Step-by-step explanation:
Given:
C = 90°
B = 23.4°
AB = c = 3.3 mm
Required:
<A, BC, and AC
Solution:
✔️m<A = 180° - (90° + 23.4°) (sum of triangle)
m<A = 66.6°
✔️To find BC and AC, apply trigonometric function:
Reference angle = 23.4°
Hypotenuse = 3.3 mm
Opposite = AC
Adjacent = BC
✅Apply CAH to find AC:
Cos 23.4 = Adj/Hyp
Cos 23.4 = BC/3.3
3.3 × Cos 23.4 = BC
3.02859027 = BC
BC ≈ 3.0 mm
✅Apply SOH to find AC:
Sin 23.4 = Opp/Hyp
Sin 23.4 = AC/3.3
3.3 × Sin 23.4 = AC
1.31058804 = AC
AC ≈ 1.3 mm
Answer: B bc=3.0mm, A=66.6, AC=1.3mm
Step-by-step explanation:
The question: Solve This Question 00110001 00100000 01101101 01101001 01101110 01110101 01110100 01100101 00100000 01101001 01101110 01110100 01100101 01110010 01110110 01100001 01101100 01110011
Answer:
6
Step-by-step explanation:
it's 6 because I said it's 6
easy
Janey bought 3 granola bars. Later, she bought 4 more. If her total payments were $17.50, how much is a granola bar?
Answer:
$2.50
Step-by-step explanation:
If you add the total amount of granola bars bought together you get 7. Divide 17.50 by 7.
17.50/7 = 2.5
Answer:
$2.50
Step-by-step explanation:
3+4=7
17.50/7=$2.50
4 people equally share 6 brownies. How much brownie does each person get? find two correct answers.
Answer:
2/3 brownies, 0.(6) brownies
Step-by-step explanation:
4 brownies / 6 people
4/6
2/3 or 0.(6)
hope this helps :)
another option is to either make/buy more brownies or just give the brownies to some homeless ppl
Which is 6log + 4log (x+6) written as a single logarithm?
Answer:
B
Step-by-step explanation:
6log x + 4log (x+6) = log [tex]x^{6}[/tex] + log [tex](x + 6)^{4}[/tex] = log [tex]x^{6}[/tex][tex](x + 6)^{4}[/tex]
Find the area of each figure.
Please no links
Please help meee
This is the last question for my assignment
find the value of x in the triangle shown below
Mr. Davies plans to place an aquarium on a shelf in his living room. The length of the shelf is inches, and the aquarium is inches long. Which estimation is best for centering the aquarium on the shelf?
The question is incomplete as the length of the shelf and aquarium isn't given. However, steps to take in other to make the estimation of centering the aquarium on the shelf would be described.
Answer:
Kindly check explanation
Step-by-step explanation:
Let :
Lenght of shelf = x
Length of aquarium = y
Usually, the length of shelf will be > length of aquarium
The shelf will have the right and left hand side ;
Subtract Length of aquarium from length of shelf and divide the difference by 2 ;
(x - y) / 2 ; this will give the space or length left on either side of the shelf with the aquarium centered in the middle.
Hence, the aquarium should be placed at (x - y) / 2 meters either to the right or left of the shelf.
Just input the omitted values of shelf length and aquarium length to obtain the solution.
At Mr. Clark's shop, his employees work 20 hours each week and
earn $7 per hour. He uses this expression to find the
total weekly payroll for n employees.
7. (20. n)
Which is an equivalent expression that can be used to find the
total weekly payroll?
B
A 7. (20 − n)
(7 • 20).
с 20 · (n + 7)
D (n + 20) • 7
Answer:
B if there is an N at the end or beginning of it, Not sure if it cut off or not.
Step-by-step explanation:
Well you would need to do 20(7) to get 140, then multiply that to N. I would say B because I'm assuming you're missing out on some part of it, if it is N at the beginning or end then it is B.
Subtract 4 from 9 then subtract 5 from the result written expression for the sequence of operations described below
Answer:
( 9 - 4 ) - 5
Step-by-step explanation:
According to the scenario, expressions can be written as follows,
Subtract is denoted by (-) sign.
So, First sequence of operation,
= For subtract 4 from 9 can be written as ( 9 - 4)
= Second sequence of operation,
Now, subtract 5 from result can be written as ( 9 - 4) - 5
Hence, the final written expression will be ( 9 - 4) - 5.
On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).
Which statement is true regarding the functions on the graph?
Answer:
A
Step-by-step explanation:
Can I get help for this?
18. When you graph an inequality, you used a closed dot when
you use which symbols?
a) 5,2
I b) >
c),
u d) >
+
19. When graphing an inequality, you use an open dot when
you use which symbol?
a) < >
b) 3,2
O c s,&
d) 2, >
20.
What inequality does the number line graph represent?
55132101 2 3 4 5 6
a) x 54
b) x2-4
d) x <4
DC) x <-4
HELP
I WILL GIVE YOU BRAINLIEST
1/2 (65+75) = ??????? solve
Answer:
70
Step-by-step explanation:
First solve the parenthesis 65 + 75= 140
The find half of 140--->70
Answer:
70
Step-by-step explanation:
1 / 2 ( 65 + 75 )
= 1 / 2 ( 140 )
= 140 / 2
= 70
Persephone is creating a flower garden in her back yard. If she needs 30 pounds
of soil per square foot of the flower garden, how much soil will Persephone need
to create her garden?
18 feet
19 feet
pounds of soil