Find the equation of the tangent line to the graph of the given function at the point with the indicated x-coordinate.
f(x) = 6x²; x = 0
y=

Answers

Answer 1

The equation of the tangent line to the graph is equal to y = 0.

What is the equation of the tangent line of a curve at a given location?

A line is tangent to a function if and only if the function meets the curve only in one point. The slope of the tangent line can be found by using the first derivative of the curve and the y-intercept is determined from the slope-intercept form of the equation of the line. First, determine the slope of the tangent line:

f'(x) = 12 · x

f'(0) = 12 · 0

f'(0) = 0

Second, find the intercept of the equation of the line:

y = 6 · 0²

y = 0

b = y - m · x

b = 0 - 0 · 0

b = 0

Then, the equation of the tangent line to the graph is equal to y = 0.

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Related Questions

Let f(x) = -3x+5 and g(x)=x²-2. Find the difference (g - f)(x).
(g-f)(x) =

Answers

Answer: f(x^2) = x^2 - 5

100 points + first decent answer gets brainliest

The mean of a distribution of selected theme park admission prices is $59 with a standard deviation of $3.99. The mean cost of a distribution of a specific home stereo system sold at many different stores is $1,499 with a standard deviation of $4.

Which distribution has the lower standard deviation?

Which distribution is more spread out? Explain.

Answers

Answer:

See explanation

Step-by-step explanation:

Selected theme park admission prices has the lower standard deviation.

Specific home stereo system's distribution is more spread out since the ratio between the standard deviation and the mean is greater compared to that of selected theme park admission prices.

specific home stereo system: 3.99/59=0.0676.

selected theme park admission prices: 4/1499=0.002668

0.0676>0.002668

Answer:

The theme park ahs the lower standard deviation

geometry someone help

Answers

Answer:

D. F

Step-by-step explanation:

Both F and G are not on plane P

find the area of the circle

Answers

The circle has an area of 28.26 ft².

It is assumed that the circle's radius is 3 feet.

The circle's area must be determined.

What is radius of a circle ?

A line segment from a circle's center to its perimeter is known as the radius.

As per the question ;

Radius of circle , r = 3 ft

Area of the circle is given by ;

A = πr²

A = π × 3²

A = 9π

or

A = 9 × 3.14

or

A = 28.26 ft²

Thus , the area of the circle will be 28.26 ft².

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(100 POINTS ASAP)
Triangle EFG is shown in the graph.

The triangle will be reflected across the x-axis and then dilated by a scale factor of 2 with respect to the origin, resulting in triangle E'F'G'.

What will be the coordinates of G'?

Answers

Answer:

The coordinates of G' will be (8, 4)

Step-by-step explanation:

Point G has coordinates (4, -2).

After reflection across the x-axis it s coordinates will change as per rule:

(x, y) → (x, - y)

Applied to point G:

(4, - 2) → (4, 2)

After dilation by a scale factor of 2 the coordinates will change as per rule:

(x, y) → (2x, 2y)

Applied to point G:

(4, 2) → (2*4 = 8, 2*2 = 4)G' = (8, 4)

Rewrite as a simplified fraction 0.7 repeating

Answers

0.7 as a fraction in simplest form is written as 7/10

Answer:

7/10

Step-by-step explanation:

Rewriting 0.7 as a fraction would be 7/10. 0.7 can also be 0.70, and 70/100

Find the domain and range of the function F(t) = sec(3.14t/4)

Answers

The domain of sec(3.14t/4) is all real numbers except 2+4n, where n is any integer and range of sec(3.14t/4) is [tex](\infty,-1] \cup [1,\infty)[/tex].

The Domain of a function f(x) is the set of all values for which the function is defined.

The Range of a function is the set of all values that f takes.

As, [tex]sec x=\frac{1}{cos x}[/tex] , so sec x is defined where [tex]cos x \neq 0[/tex].

It implies, sec(3.14t/4) is defined where [tex]cos(3.14t/4)\neq 0[/tex].

The cosine is 0 at [tex](2n+1)\frac{\pi }{2}[/tex] , where n is any integer.

Now, [tex]\frac{3.14t}{4} =\frac{(2n+1)\pi }{2}[/tex]

         [tex]\frac{\pi t}{4} =\frac{(2n+1)\pi }{2}[/tex]

       [tex]t=2(2n+1)\\t=2+4n[/tex]

Since, the range of cos x is [-1,1], so sec x will never be less than 1, but can grow infinitely large as cos x approaches 0.

Thus, The domain of sec(3.14t/4) is all real numbers except 2+4n, where n is any integer and range of sec(3.14t/4) is [tex](\infty,-1] \cup [1,\infty)[/tex].

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Find the sum of (6.9 × 106) and (5.9 × 105). Write the final answer in scientific notation.

Answers

The sum of (6.9 × 10^6) and (5.9 × 10^5) written in scientific notation is 12.8 × 10^11

Scientific notation

(6.9 × 10^6) and (5.9 × 10^5)

Sum

= (6.9 × 10^6) + (5.9 × 10^5)

= (6.9 + 5.9) × 10^(6+5)

= 12.8 × 10^11

Therefore, the sum of (6.9 × 10^6) and (5.9 × 10^5) written in scientific notation is 12.8 × 10^11

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The graph of f(x) is shown.
How many horizontal tangent lines does f(x) have?
0
1
2
3
4

Answers

Check the picture below.

what set M is the set of months hauling 31 days?​

Answers

The set of months having 31 days will be S = { January, March, May, July, August, October, December }.

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

We know that there are 12 months in a year.

From these months, we get that the months that have 31 days are:

January

March

May

July

August

October

December

The set of months having 31 days will be:

S = { January, March, May, July, August, October, December }

Therefore, we get that, the set of months having 31 days will be S = { January, March, May, July, August, October, December }.

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Shawn reads 5 pages in 20 minutes. He spends the same amount of time per page. How long will it take him to read 11 pages?

Answers

Answer:

44

Step-by-step explanation:

20 ÷ 5 = 4 minutes per page

4 x 11 pages = 44

beth and ann are joking that their combined ages equal sams age. if beth is twice anns age and sam is 69. what are beth and anns age

Answers

Answer: ann is 69 and beth is 138

Step-by-step explanation:

Rory has 6 pounds of ground beef to make meatballs. He uses 5/8 pound per meatball to make 9 meatballs. How many 1/8 pound meatballs can Rory make with the remaining beef?

Answers

Rory can make 43 metaballs from the remaining beef.

What are maths operations?An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value. The operation's arity is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations. A zero-arity operation, also known as a nullary operation, is a constant. The mixed product is an example of an arity 3 operation, also known as a ternary operation.

Rory has 6 pounds of ground beef on hand for making meatballs.

He makes 9 meatballs with 5/8 pounds of meat per meatball.

We must subtract 5/8 from 6.

6 - 5/848-5/843/8

There are 43/8 pounds of ground beef remaining.

As a result, the number of 1/8 pound meatballs produced from 21/8 pound ground beef can be calculated as follows:

43/8 ÷ 1/843/8 × 8/1= 43

Therefore, Rory can make 43 metaballs from the remaining beef.

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in the grid below what is the distance between point a and b. round to the nearest tenth

Answers

what grid there is no grid

Find the perimeter of the equilateral triangle.
9x16
8-3x
The perimeter is

Answers

The perimeter of the equilateral triangle will be 27x - 48.

How to calculate the perimeter?

It should be noted that the perimeter of an equilateral triangle is the addition of all its sides or multiplying by three since they're equal.

Therefore, the perimeter of the equilateral triangle will be:

= 3(9x - 16)

= 27x - 48

Therefore, the perimeter of the equilateral triangle will be 27x - 48.

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Find the perimeter of the equilateral triangle.

9x - 16

What is the solution set of the quadratic inequality 4(x + 2)²(less than equal to)0

Answers

Answer:

  {-2}

Step-by-step explanation:

You want the solution set for the inequality 4(x +2)² ≤ 0.

Solution

The expression on the left cannot be negative, but it can be zero when ...

  x +2 = 0   ⇒   x = -2

The only solution to this inequality is x = -2.

Expressed as a set of solutions, we have ...

  x ∈ {-2}

Determine which integer in the solution set will make the equation true.

3s − 12 = −9
S: {−1, 0, 1, 2}

A: −1
B: 0
C: 1
D: 2

Answers

Answer:

c) 1

Step-by-step explanation:

Solving for the value of s,

→ 3s - 12 = -9

→ 3s = -9 + 12

→ s = 3/3

→ [ s = 1 ]

Thus, option (c) is correct.

Josue is the youngest of three siblings whose ages are consecutive even integers. If
the sum of their ages is 78, find Josue's age.

Answers

Answer:

39 is the sum of their ages

Step-by-step explanation:

Hope this helps :)

Evaluate.
Remember Order of Operations!
(PEMDAS)
(-7+3²) × 8

Answers

Answer:

16

Step-by-step explanation:

[tex]-7+3^2\\3^2\\=9\\=-7+9\\=-7+9 = 2\\=2\times \:8\\2\times \:8=16\\\boxed{16}[/tex]

Zan needs 28 centimeters of ribbon for each bow she makes. What is the greatest number of bows Zan can make with 9 feet of ribbon?

Answers

Answer:

3

Step-by-step explanation:

i think its 3 because 28 divided by 9 is 3

Find all the numbers that satisfy the fol-
lowing descriptions:
The number has seven digits.
The number is between 1,000 and
10,000.
The digit in the tenths place is 150%
of the digit in the thousandths place.
The digit in the hundredths place is
of the sum of the digit in the
tenths place and the digit in the
thousandths place.
The sum of all the digits in the num-
ber is 17.
None of the digits are zero.

Answers

There is no number which is satisfying the given conditions.

The first condition is that the number has seven digits.

The second condition is that the number lies between 1000 and 10000.

From these two conditions, we can conclude that there is no number which satisfies all the given conditions. Because there is no seven-digit number which is less than 10000.

Let us assume that the second condition is the number lies between 1000000 and 10000000.

And let the required number be "abcdefg".

The third condition is the digit in the tenth place is 150% of the digit in the thousandth place.

⇒ f = 150 × (d) / 100 = 1.5 × d

The fourth condition is the digit in the hundredth place is the sum of the digit in the tenth place and the digit in the thousandth place.

⇒ e = f + d = 1.5d + d = 2.5d

The fifth condition is the sum of all the digits in the number is 17.

⇒ a + b + c + d + e + f + g = 17

⇒ a + b + c + d + 2.5d + 1.5d + g = 17

⇒ a + b + c + 5d + g = 17

And the last condition is none of the digits is zero.

Using the last condition the possible values for d are either 1 or 2.

Because, if d is 3, then if we take the least possible digit(1) for others, the sum on the LHS is 19, which is greater than 17.

And d can not be 1. Because, if d is 1, then f and e are 1.5 and 2.5 respectively. 1.5 and 2.5 are not valid digits.

Therefore, the value of d = 2.

f = 1.5d = 3

e = 2.5d = 5

If d = 2, then we get a + b + c + g + 10 = 17

⇒ a + b + c + g = 17 - 10

⇒ a + b + c + g = 7

⇒ The possible values for (a, b, c, g) are (4, 1, 1, 1), (1, 4, 1, 1), (1, 1, 4, 1), (1, 1, 1, 4), (2, 2, 2, 1), (2, 2, 1, 2), (2, 1, 2, 2), (1, 2, 2, 2), (2, 3, 1, 1), (3, 2, 1, 1), (1, 1, 2, 3), and (1, 1, 3, 2)...

Therefore there are more than 12 possible answers that satisfy the assumption made.

411253114125311142531111253422225312212532212253212225322312531321253112325311322531

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if a(x + 1) = 2x + 3a, and a ≠ 0, then what is x in terms of a

Answers

Answer:

[tex]x = \frac{2a}{a - 2} [/tex]

Write 4,000,000 in scientific notation

Answers

4 × 10 then put a 6 by the 10 as an exponent.

Select the part of speech for the underlined words below. I WAS afraid of roller coasters when I was younger, but I AM a huge fan of them now. preposition, adverb, verb, adjective​

Answers

Answer: I'm pretty sure its a verb

Step-by-step explanation:

can anyone help me with this I am stuck

Answers

Using integrals, the desired probabilities and measures are given as follows:

a) P(X < 6) = 0.84375 = 84.375%.

b) P(X < 13) = 1 = 100%.

c) P(6 < X < 8) = 0.15625 = 15.625%.

d) P(X > 5) = 0.31641 = 31.641%.

e) x = 6.434.

What is the probability distribution?

The distribution is given as follows, simplifying the operations:

f(x) = 0.09375x - 0.01171875x², 0 ≤ x ≤ 8.

Hence the density function is:

[tex]\int_{a}^{b} f(x) dx[/tex]

[tex]\int_{a}^{b} (0.09375x - 0.01171875x^2) dx[/tex]

[tex]0.046875x^2 - 0.00390625x^3|_{x=a}^{x = b}[/tex]

Applying the Fundamental Theorem of Calculus:

P(a < X < b) = 0.046875b² - 0.00390625b³ - 0.046875a² + 0.00390625a³

Hence, for item a:

P(X < 6) = 0.046875(6)² - 0.00390625(6)³.

P(X < 6) = 0.84375 = 84.375%.

For item b, the entire distribution is below 13, hence:

P(X < 13) = 1 = 100%.

For item c:

P(6 < X < 8) = 0.046875(8)² - 0.00390625(8)³ - 0.046875(6)² + 0.00390625(6)³.

P(6 < X < 8) = 0.15625 = 15.625%.

For item d:

P(5 < X < 8) = 0.046875(8)² - 0.00390625(8)³ - 0.046875(5)² + 0.00390625(5)³.

P(X > 5) = 0.31641 = 31.641%.

For item e:

We have to find b when a = 0 and P(X < b) = 0.9, hence:

0.046875b² - 0.00390625b³ = 0.9.

Using a calculator, the solution in the range of the distribution is given by:

b = x = 6.434.

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The sum of an integer and 7 times the next consecutive odd integer is 6. Find the value of the greater integer.

Answers

The value of the integer number is -1

How to find the value of the greater integer?

The statement is given as:

The sum of an integer and 7 times the next consecutive odd integer is 6

Let the integer value be x

So, the next consecutive odd integer is x + 2

When represented as an equation, we have

x + 7(x + 2) = 6

Open the bracket

x + 7x + 14 = 6

Evaluate the like terms

8x = -8

Divide both sides by 8

x = -1

Hence, the value of the integer number is -1

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12345678901234567890

Answers

Yes; The construction demonstrates how to bisect an angle correctly using technology because Circles D & E have the same radius

How to properly bisect an angle?

In construction of angles and lines, bisection means dividing either a given angle or line segment into two equal parts. This means after the construction, the two parts must have equal measure.

The steps to bisect a line segment are as follows;

1. Draw the required length of the line segment AB.

2. With point A and radius of the compass greater than half of AB, describe arcs above and below the segment.

3. With the same radius as in step 2 and point B, describe two arcs above and below the segment. These would intersect that of step 2 at C and D.

4. Join the points of intersection of the arcs with a straight line CD.

Now, in this given question with the circle, we can see that line AG is the line that bisects the angle EAD.

Now, we see that circles C and D have the same radius and as such the construction demonstrated is correct for that very reason.

Answer: yes

Step-by-step explanation: the construction correctly shows how to bisect an angle using technology because circles D and E have the same radius. 



4. What is the probability of pulling either a fork or a spoon out of the bag?

Answers

We the Probability of pulling either fork or spoon as 1.

We are given that:

We have a fork and a spoon in a bag.

Total number of items in a bag = 1 + 1 = 2

Now, we need to tell the probability of either pulling a fork or a spoon.

Now,

Probability of pulling a fork = 1 / 2 = 0.5

Probability of pulling a spoon = 1 / 2 = 0.5

So, the Probability of pulling either of them will be = 1 / 2 + 1 / 2 = 1

Therefore, we the Probability of pulling either fork or spoon as 1.

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need help with 36.01 x 0.06

Answers

Hello. Your answer is 2.1606. Hope I could help

Answer: 2.1606

Step-by-step explanation:

36.01 x 0.06 =

3601/100 x 6/100=

3601 x 6/(100 x 100)=

21606/10000=2.1606

Jared estimates that his houseplant is as heavy as a 5 kilogram bowling ball. Draw a tape diagram to estimate the weight of 3 houseplants.

Answers

3 houseplants will weigh 15 kg (Refer to the tape diagram below).

What is a tape diagram?A tape diagram is a visual model that looks like a piece of tape and is used to aid in the calculation of ratios, addition, subtraction, and, most commonly, multiplication. It is also referred to as a divided bar model, a fraction strip model, a length model, or a strip diagram. It is used in elementary school mathematics education to solve word problems.

The weight of 3 household plants will be about 15 kg.

5 kg × 3 = 15 kg(Refer to the tape diagram given below)

Therefore, the weight of 3 household plants will be about 15 kg (Refer to the tape diagram below).

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