Find the equation of the tangent line. y=(9-x^2)^1/3 at (1,2)
Get the derivative:
y = (9 - x²)¹ʹ³
dy/dx = 1/3 (9 - x²)⁻²ʹ³ d/dx [9 - x²]
dy/dx = 1/3 (9 - x²)⁻²ʹ³ (-2x)
dy/dx = -2/3 x (9 - x²)⁻²ʹ³
Evaluate it at x = 1 :
dy/dx (1) = -2/3 • 8⁻²ʹ³
Since 8 = 2³, we have
8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4
Then the tangent line has equation
y - 2 = 1/4 (x - 1) → y = 1/4 x + 7/4
John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year
Answer:
John attempted 500 passes.
Step-by-step explanation:
350 / x = 70%
350 = 0.7x
x = 500
Evaluate the expression 8-3×2+5
Answer:
7
Step-by-step explanation:
First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7
solve this inequality
Explanation:
To isolate x, we first add 3 to both sides. Then we'll divide both sides by 4
[tex]4x-3 < 9\\\\4x-3+3 < 9+3\\\\4x < 12\\\\\frac{4x}{4} < \frac{12}{4}\\\\x < 3[/tex]
So x can be any number smaller than 3.
The inequality sign will not flip because we are not dividing both sides by a negative number.
How many solutions does the absolute value equation have?
I x - 3 I + 2 = -2
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Answer:
the correct answer is marked
Step-by-step explanation:
When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.
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Additional comment
Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.
draw a mapping that represents a relation with domain -1, 0, 2 and range 1,4 is only one answer possible? explain
Explain how multiplying fractions and dividing fractions are alike and how they are different.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Step-by-step explanation:
Example:
[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]
A project has each of the following characteristics except ____.
A. Clearly defined scope, deliverables, and results.
B. An estimated budget that is subject to a high degree of uncertainty.
C. Low risk with a high profit potential or benefits.
D. An estimated time frame or schedule that is subject to a high degree of uncertainty.
Answer:
C. Low risk with a high profit potential or benefits.
Step-by-step explanation:
I hope this helps.
Need help with this math problem look at the picture.
Answer:
Square Root of 35
Step-by-step explanation:
5 * 7 = 35
Answer:
5.91607978309
Step-by-step explanation:
A student runs 100 meters in 11 seconds. What is the speed of the student?
Answer: 9.09 meters per second
Step-by-step explanation:
100 divided by 11= 9.09
what is There are fourteen whole snack bars on a plate. There are five friends.
Carl eats 2.5 snack bars.
Dave eats 2.7 snack bars.
Tony eats 2.5 snack bars.
Gary eats 2.0 snack bars.
Tyrone eats 2.3 snack bars.
Carl says he ate the most snack bars. Is Carl correct? There are no more snack bars on the plate. Gary looks at the snack bar pieces that each friend has left. Gary says they only ate a total of a dozen snack bars. How does Gary know that the friends only ate a total of a dozen snack bars? Show all your mathematical thinking.
Carl is incorrect. Dave ate a higher fraction of snack bars, by 0.2 snack bars.
Carl had .5 left of a snack bar.
Dave had .3 left of a snack bar.
Tony had .5 left of a snack bar.
Gary had .0 left of a snack bar.
Tryone had .7 left of a snack bar.
If we add the above snack bars, there is a total of two remaining snack bars, meaning they only ate 12 of 14 snack bars.
6 divided by 1 1/8
Dont force the calcu- nvm I forgot Fractions cant be used in calculators :(
Answer:
4 and 4/11
Step-by-step explanation:
Answer:
4 4/11
Step-by-step explanation:
You start with 6/1 divided bye 11/8. You keep the 6/1, switch the division to multiplication, and flip the 11/8 to 8/11. You multiply the fractions and get 48/11. Simplifying gives 4 4/11.
find the domain of f(x) . give answer in interval notation
Answer:
(0,6]
Step-by-step explanation:
In a bag of 20 balls, 2 are pink, 7 are green, 4 are white, 5 are black, and 2 are orange. If the first ball chosen is
pink and not replaced, what is the probability that the next ball is black?
A.1/10
B.15/63
C.2/19
D.5/19
Answer:
The answer is D 5/19.
Step-by-step explanation:
There are 20 balls and one git removed then 5 are black so you put 5 over the number of balls 20.
The price of a television was reduced from $250 to $200. What was the percent decrease in price? HELPP? ILL GIVE YOU A BRAINLLEST?!!
Answer:
20%
I hope this is good enough:
David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay
Answer:
13 : 4
Step-by-step explanation:
13 : 4
he has 13 cows and he has 4 bales of hay so 13:4
you can't simplfy it so its still 13 : 4
The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.
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Answer:
3 feet per second
Step-by-step explanation:
If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.
(1/2)(6 ft/s) = 3 ft/s
The swimmer's average speed is 3 ft/s.
Francine uses 2/3 cups of pineapple juice for every 1/3 cup of orange juice to make a smoothie.Enter the number of cups of pineapple juice Francine uses for 1 cup of orange juice
Answer:
1 cup i think
Step-by-step explanation:
Sorry im an idiot but i think its right
Answer:
Step-by-step explanation:
It is two cups
HELP FAST IT'S TIMED
Answer:
3/6 or if you prefer simplified version it is 1/2
Step-by-step explanation:
1/3=2/6
2/6+3/6=5/6
Answer:
d = 1/2
Step-by-step explanation:
5/6 = 1/3 + d
~Find common denominators
5/6 = 2/6 + d
~Subtract 2/6 to both sides
3/6 = d
~Simplify
1/2 = d
Best of Luck!
The coordinates of the vertices of quadrilateral ABCD are A(−4, −1), B(−1, 2), C(5, 1), and D(1, −3).
Drag and drop the choices into each box to correctly complete the sentences.
The slope of AB¯¯¯¯¯ is ______ the slope of BC¯¯¯¯¯ is ______the slope of CD¯¯¯¯¯ is ______ and the slope of AD¯¯¯¯¯ is _______ Quadrilateral ABCD _____ a parallelogram because ______
Answer:
Sorry this is late, but it could help future people. Answers are in the picture.
Step-by-step explanation:
I took the quiz. :)
Answer:
The slope of AB¯¯¯¯¯ is 1, the slope of BC¯¯¯¯¯ is -1/6, the slope of CD¯¯¯¯¯ is 1, and the slope of AD¯¯¯¯¯ is -2/5. Quadrilateral ABCD is not a parallelogram because only one pair of opposite sides is parallel.
Step-by-step explanation:
Verified correct with test results.
Which reason justifies statement 2?
A) Vertical angles are congruent
B) Corresponding angles are congruent
C) Alternate interior angles are congruent
D) Alternate exterior angles are congruent
Answer:
Step-by-step explanation:
Is b) corresponding angles are congruent.
The reason that justifies statement two: "Angle Y ≅ Angle 4", is option C "Alternate interior angles are congruent".
What are congruent angles?Angles that are of the same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of the same measure, then
[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of the same measurement, where the small m shows that it's the measurement's the angles they're preceding.
We can see that angle Y and angle 4 are two alternate angles within the two parallel lines cut across by the transversal, therefore, they are called alternate interior angles.
Since Alternate interior angles are always congruent to each other.
Thwithefore, the reason that justifies statement two: "Angle Y ≅ Angle 4", is "Alternate interior angles are congruent".
Learn more about congruent triangles here:
https://brainly.com/question/16921692
#SPJ6
What are functions? Is it a straight line or a curved line?
Answer:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair. it is a stright line
Step-by-step explanation:
got it right on testtt
Dimensional Analysis Problems
Answer: oeidkssowkjss
Oop- sry
Step-by-step explanation:
need help with slopes..
Answer:
Step-by-step explanation:
y-intercept: -7
type of slope: 0
slope: y=0x-7
slope's hard ;_;
If 6 x 7 = 26 +0, find the number that belongs in the box.
211
The short run is defined as a period of time where
Select one:
a. some of a firm's inputs are fixed
b. only a small number of firms can enter or exit the industry.
c. the firm always breaks even (earns zero profit).
d. all inputs can be changed, but only for a little while and then must be changed back to their original levels.
Answer:
q
Step-by-step explanation:
a q q q q q q q q q q qq q qq q q q q q qa q q q q q q q q q q q
plz helpppppppp me thxs
Answer:thxxxxxxs for the points
Step-by-step explanation:
Bella wants to create a tea-mix. She can buy Asian Treasure tea for $7.50 per ounce and Paradise tea for $5.00 per ounce. If she wants to make 60 ounces of tea-mix at a cost of $6.00 per ounce, how many ounces of Asian Treasure tea and how many ounces of Paradise tea should she buy?
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Answer:
24 oz Asian Treasure36 oz ParadiseStep-by-step explanation:
The proportion of Asian Treasure is the difference in price of the mix and Paradise tea, divided by the difference in price of Asian Treasure and Paradise tea. So the amount of Asian Treasure is ...
(6.00 -5.00)/(7.50 -5.00)(60 ounces) = 24 ounces . . . Asian Treasure tea
The remaining 60-24 = 36 ounces will be Paradise tea.
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Using an equation
You can get the same result if you define a variable (a) to the amount in ounces of the higher-priced contributor. Then the lower-priced contributor will be in the amount (60-a) ounces. The total cost of the mix is ...
7.50a +5.00(60 -a) = 60(6.00)
(7.50 -5.00)a +60(5.00) = 60(6.00) . . . rearrange the left side
(7.50 -5.00)a = 60(6.00 - 5.00) . . . . . . subtract 60(5.00)
a = 60(6.00 -5.00)/(7.50 -5.00) . . . . . . divide by the coefficient of 'a'
Note that this last expression is identical to the one we used above to find the quantity of Asian Treasure tea.
will mark brainliest please this is urgent
1.5 X 10 second power
Answer:
15
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
10 to the 2nd power is 100
100 x 1.5=150