Answer:
Answer:A.
x f(x)
-2 4
-1 1
0 0
1 1
2 4
B.
x f(x)
1 6
2 7
3 8
4 9
5 10
C.
x f(x)
-2 -3
-1 -1
0 1
1 3
2 5
D.
x f(x)
1 3
2 6
3 9
4 12
5 15
Step-by-step explanation:
The required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.
What is implicit differentiation?The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
Here,
Let f(x) = y
Given function,
y = [3x -1]²
The inverse of the above function is given as,
f⁻¹(x) = [∛x + 1]/3
Differentiate the above inverse function,
[f⁻¹(x)]' = 1/[9x²/³]
Substitute x = 1/8
[f⁻¹(1/8)]' = 1/[9(1/8)²/³]
[f⁻¹(1/8)]' = 4 / 9
Thus, the required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.
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George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money.
Answer:
13.48
Step-by-step explanation:
Help I really need help
Answer:
a. days 1 2 3 4 5
number of gallons 12 24 36 48 60
b. g = 12d (the number of days times 12)
c. a person uses 84 gallons of water for showering each week.
Step-by-step explanation:
each day is 12 gallons so just multiply the number of days by 12 to get how many gallons that you use in a set number of days. for the last one, a week is 7 days so if you do 7 x 12 then you get how many gallons a person uses in a week.
What is n?
Input
- 1
0
1
2
3
4
Output
8
9
10
11
n
13
Answer:
Please show more info you can send photos so we can see better thanks
There are 3.76 × 10 atoms in 1 gram of oxygen. How many atoms are there in 700 grams of oxygen? Write your answer in scientific notation. If necessary, round your answer to two decimal places.
Answer:
7.376 × 10²
Explanation:
3.76 x 10 * 700
i need big help because this is due today
Answer:
Step-by-step explanation:
x | y
30 | 6
60 | 12
90 | 18
120 | 24
The slope of the line is m=3/4. One point is (x, 2) and (3,-4)
Find X
Please helppppp
Answer:
x = 11
Step-by-step explanation:
Given that,
The slope of the line, m = 3/4
First point = (x,2)
Another point = (3,-4)
We need to find the value of x.
The slope of a line is given by the formula as follows :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put x₁ = x, y₁ = 2, x₂ = 3, y₂ =-4 and m = 3/4
Put all the values,
[tex]\dfrac{3}{4}=\dfrac{-4-2}{3-x}\\\\3(3-x)=4(-6)\\\\9-3x=-24\\\\9+24=3x\\\\33=3x\\\\x=11[/tex]
So, the value of x is 11.
2. Rachel makes cranberry almond cookies. The number of cups of cranberries and the number of cups of almonds are shown in the table below. What is the ratio of cups of cranberries to cups of almonds?
Answer:
Step-by-step explanation:
By 2 for the first one. And for 2 they skip counting by 6
need help with this please!!
Answer:
a 1/4 cuz perpendicular m × m original line is -1
8.25 equals how many ones?
Answer:
i think 20.95 centimetres
The following are questions from a self-quiz.
According to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter. Suppose such an adult male is randomly chosen. Let X be height of that person. The next 2 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value.
a) The probability that the person is between 160 and 170 centimeters is
b) The probability that the person is higher than 190 centimeter is
Please state how you determined the probability from the standard normal table.
Answer:
0.0635 ; 0.1093
Step-by-step explanation:
Given that :
Mean (m) = 181
Standard deviation (s) = 7.3
Height = x
a) The probability that the person is between 160 and 170 centimeters
160 < x < 170
P(x < 160) - P(x< 170)
Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3
Z = - 1.51 ; Z = - 2.88
P(Z < - 1.51) - P(Z < - 2.88)
0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).
0.0655 - 0.0020 = 0.0635
b) The probability that the person is higher than 190 centimeter
P(x > 190)
Zscore = (x - m) / s
Zscore = (190 - 181) / 7.3
Zscore = 1.23
P(Z > 1.23) = 1 - P(Z < 1.23)
P(Z > 1.23) = 1 - 0.8907
P(Z > 1.23) = 0.1093
A bag contains red marbles and blue marbles. If two marbles are chosen at random without replacement, the probability that both marbles are red is , and the probability that both marbles are blue is also . How many marbles are in the bag?
Answer:
So, a + b = 3 + 3 = 6
Hence,
There will be 6 marbles in the bag, 3 red and 3 blue.
Step-by-step explanation:
In this question probabilities are not given which should be given in order to calculate the number of marbles in the bag.
So, let's assume the probability that both marbles are red = 0.5
And probability that both marbles are blue = 0.5
Total Probability = 1
Furthermore, Let's suppose the bag contains
a number of red marbles and b number of blue marbles.
This problem includes the concepts of combination.
So,
[tex]\frac{_{2} C^{a} }{_{2} C^{a+b} }[/tex] = 0.5 Equation 1
[tex]\frac{_{2} C^{b} }{_{2} C^{a+b} }[/tex] = 0.5 Equation 2
Dividing Equation 1 and equation 2 we will get
[tex]\frac{_{2} C^{a} }{_{2} C^{b} }[/tex] = 1
It means, we can write:
[tex]_{2} C^{a} = _{2}C^{b}[/tex]
Hence, we can conclude that:
a = b
Now, from equation 1, we can write:
[tex]\frac{_{2} C^{a} }{_{2} C^{2a} }[/tex] = 0.5
Breaking down the combinations, we will get:
[tex]\frac{\frac{a!}{2! (a-2)!} }{\frac{2a!}{2! (2a - 2)!} }[/tex] = 0.5
[tex]\frac{a ( a-1)}{2a (2a-1)} = \frac{1}{5}[/tex]
(a-1)5 = 4a - 2
5a - 5 = 4a - 2
5a -4a = 5-2
a = 3
As, we know, a = b
So, a + b = 3 + 3 = 6
Hence,
There will be 6 marbles in the bag, 3 red and 3 blue.
ASAP Which inequality is shown in the graph
Answer:
sorry im not usre
Step-by-step explanation:
Answer:
y=-2x-3
Step-by-step explanation:
for the slope you count up 2 he count to the left 1 from the y-intercept
and for the y-intercept you look for the points of the line that cross the y Line
1.
A toy store is preparing for the
winter holiday season. The
manager is reviewing the current
inventory and comparing it to the
forecasted inventory needed that
is based on last year's sales.
What is the forecasted need for
board games?
Toy Inventory, 2016
Ms. Duncan went to dinner with her family and the cost for her food was $42. She wants to
give a 20% tip. How much money should Ms. Duncan leave for tip? *
Answer:
Ms. Duncan should leave a $8.40. tip.
What is the slope in slope-intercept form for these graphs?
Answer:
Step-by-step explanation:
for this graph find rise over run , and where the line crosses they y axis.. sooo ..
it crosses at -2 and the slope is rise over run or y/x and I can see by the graph that the line goes up 1 when it goes over 1... so the slope is +1
sooo...
use the slope intercept form y = mx + b
y = 1x + (-2)
y = x - 2 :)
If f(x) = (4784), what is 13)?
Answer:
f(x)=4784
f(13)= 0 because there is x value on the right hand side
Which
graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?
Answer:
I believe the answer would be
Step-by-step explanation:
a graph that goes up and then is a straight line then it goes down.
In other words the graph would be A.
Who ever Answers first gets a good review
Answer:
Do we do all of them???
Step-by-step explanation:
Suppose that G(x) = F(x) -3. Which statement best compares the graph of
G() with the graph of F)?
OA. The graph of G) is the graph of F() shifted 3 units down.
O B. The graph of G) is the graph of F() shifted 3 units to the left.
OC. The graph of G() is the graph of F() shifted 3 units up.
O D. The graph of G() is the graph of F() shifted 3 units to the right.
Answer:A
We have given that g(x)= F(x) -3.
By the transformation rule p(x) - k is said that function is shifted down k units
need the answer !!! pls
Answer:
i guess its b and d
Step-by-step explanation:
-2+2=0
Answer:
option B is correct
B and D
because B is -2 and D is 2
to make 0
we can combined that 2numbers then we got -2+2=0
Step-by-step explanation:
hope my answer is helpful to you
Check all of the ordered pairs that satisfy the equation below.
A.
(21, )
B.
(7, 14)
C.
(21, 14)
D.
(42, 28)
E.
(14, 21)
F.
(28, 42)
Answer:
what is the y-coordinate for A?
Step-by-step explanation:
Best and correct answer gets BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Rise is 4/3x means that the point (4,3) will be on the line, and b is the only one which has (4,3).
Which line has a constant of proportionality between y and x (Slope) of 4/3?
4/3 = slope = rise over run
(Rephrase) Which line has a slope of 4/3? Go up 4 over 3 from the origin (since there is no y-intercept)
Only B goes up 4 and over 3 (has the slope of 4/3)
Answer: B
2x2−3x−4=0 Solve using the quadratic formula.
Answer:
Step-by-step explanation:
2x2−3x−4=0
For this equation: a=2, b=-3, c=-4
2x2+−3x+−4=0
Step 1: Use quadratic formula with a=2, b=-3, c=-4.
x=
−b±√b2−4ac
2a
x=
−(−3)±√(−3)2−4(2)(−4)
2(2)
x=
3±√41
4
a. [-1, 1]
b. [0, pi]
c. [-pi/2, pi/2]
d. -♾, ♾]
f(x) = sin(x)
Domain (–∞, ∞)
Range [–1, 1]
y = arcsine(x)
y = f–¹(x)
Domain [–1, 1]
Range [–π/2, π/2]
factorise x^2-3xy-18y^2
plzzzzz it's urgent
Step-by-step explanation:
here,
x^2 -3xy-18xy^2
=x^2-(6-3)xy-18xy^2
=x^2-6xy+3xy-18y^2
=x(x-6y)+3y(x-6y)
=(x-6y)(x-3y)
what is the best estimate of the product 3 1/3 x 5/6
Answer:
8.611111
Step-by-step explanation:
brainliest plz
It took Cedric 60 minutes to jog 8 laps. At this rate, how many minutes did it take to jog each lap?
Answer:
7.5 mins
Step-by-step explanation:
60 ÷ 8 = 7.5
hope it's right
How many quarts of pure antifreeze must be added to 8 quarts of a 20% antifreeze solution to obtain a 30% antifreeze solution?
(Round to the nearest tenth as needed.)
9514 1404 393
Answer:
1.1 quarts
Step-by-step explanation:
Let x represent the amount to be added, in quarts. Then the amount of anti-freeze in the resulting solution is ...
0.20(8) + 1.00(x) = 0.30(8 +x)
0.70x = 0.10(8) . . . . . . subtract 0.20(8)+0.30(x)
x = 8/7 . . . . . . . . . . . . . divide by the coefficient of x
x ≈ 1.142857 ≈ 1.1
About 1.1 quarts of pure antifreeze must be added.
what is an equation of the line that passes through point (-6,-5) and is parallel to the line x + 5y=25
Answer:
Contains the point (-3, 5) and is PARALLEL to the line x − 5y = 6. Solve the equation for "y":: 5y = x- 6 y = (1/5)x-(6/5) The slope is 1/5 ---- Equation of line with slope = 1/5 passing thru point (-3,5) (y-5)/(x+3) = 1/ ...
Find the area of a square with side length of 4x.
Answer:
16x²
Step-by-step explanation:
since all sides of a square are equal, we just multiply 4x by 4x. this gives us 16x².
The area of square with side length 4x is 16x.
What is Square?A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.
Given,
The side length of a square is 4x
We need to find the area of square.
As we know that area of square = 4a.
Where a is the length of side of a square.
In a square all the four sides will have same length.
a=4x
Area of square=4(4x)
=16x
Hence the area of square with side length 4x is 16x.
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