Please help! Will give brainiest for best answer! (28 points max.) (Problem is below!)

Saddle points are critical point that the function didn't in local maximum points nor in a local minimum position. Saddle pointly mostly happen in the multivariable functions. In simple, saddle point is everything on the function accept the local maxima and minimum maxima. The proof what is the saddle shown in the picture. As you can see, the curve besides local maxima and minimum maxima is create an area like a saddle, thats why its called saddle point.

Saddle point availability can be calculate by this logic: lets say we have r = f(q, w), then the point (q, w, r) is told to be a saddle point if each derivatives fq(q, w) and fw(q, w) subside,and f  is not in any local maximum or local minima value at (x, y).

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Answer: The variables h and k in the general formula for a cube root function affect the graph by causing a horizontal and vertical shift, respectively. The value of h determines the horizontal position of the graph by shifting it to the right or left along the x-axis. If h is positive, the graph will shift to the right, and if h is negative, the graph will shift to the left. On the other hand, the value of k determines the vertical position of the graph by shifting it up or down along the y-axis. If k is positive, the graph will shift upward, and if k is negative, the graph will shift downward. It is important to note that these shifts do not affect the shape of the graph, only its position on the coordinate plane. Therefore, changing the values of h and k in the general formula for a cube root function will cause the graph to shift, but the overall shape of the graph will remain the same.

Step-by-step explanation:

Answer:

The answer is 4

16÷4 is 4

Therefore 4 x 4 =16

Answer:

number 1 is 74

Step-by-step explanation:

number 4 is 100

number 2 is I think either 160 or 32

an I'm sorry I don't know what number 3 is but I hoped I helped

The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.

It follows from the task content that the expression which is equivalent to six to the negative power of two is to be determined.

Since the given word phrase can be expressed as; 6^-²; it follows from the laws of indices that we have;

= (1 / 6)²

= 1² / 6²

= 1/36.

Ultimately, the equivalent expression is; 1 / 36.

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Answer:

en que?

Step-by-step explanation:

The slope is -5/4 and the equation of the line in point-slope form is       y-5 = -5/4(x+4) + c.

The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.

For the given situation,

The points are  (x1,y1) is (−4,5) and (x2,y2) is (0,0)

The formula of slope is

\(m=\frac{y2-y1}{x2-x1}\)

⇒ \(m=\frac{0-5}{0-(-4)}\)

⇒ \(m=\frac{-5}{4}\)

The equation of the line in point-slope form is

\(y-y1=m(x-x1)\)

⇒ \(y-5=\frac{-5}{4} (x-(-4))\)

⇒ \(y-5=\frac{-5}{4} (x+4)\)

Hence we can conclude that the slope is -5/4 and the equation of the line in point-slope form is y-5 = -5/4 (x+4).

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In the XY plane, the circles with equations (x-3) + y = 11 and (x+2) + y = r are externally tangent. the value of r is -6.

Generally, To find the value of r, we can start by solving for the centers and radii of the two circles.

The equation of the first circle is of the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. We can rewrite the equation of the first circle as (x - 3)² + y² = 11², so the center of the circle is (3, 0) and the radius is 11.

The equation of the second circle is also of the form (x - h)₂ + (y - k)₂ = r². We can rewrite the equation of the second circle as (x + 2)² + y² = r², so the center of the circle is (-2, 0) and the radius is r.

Since the two circles are externally tangent, the distance between their centers is equal to the sum of their radii. Therefore, the distance between the centers is equal to 11 + r. We can use the distance formula to find the distance between the centers:

distance = √((h₂ - h₁)^2 + (k₂ - k₁)²)

Plugging in the coordinates of the centers, we get:

distance = √((-2 - 3)^2 + (0 - 0)^2) = √(5^2 + 0^2) = √(25) = 5

Since the distance between the centers is equal to the sum of the radii, we can set up the equation:

5 = 11 + r

Solving for r, we get:

r = 5 - 11 = -6

Therefore, the value of r is -6.

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The surface area of the cylinder is 34.12 square inches

From the question, we have the following parameters that can be used in our computation:

Radius, r  4 inches

Height, h = 5 inches

The surface area of a cylinder is the total area of all its curved and flat surfaces.

The surface area of the cylinder can be calculated using the following formula:

SA = 2πr(h + r)

Where

So, we have

SA =2 * 3.14 * 4 + (4 + 5)

Evaluate

SA = 34.12

Hence, the surface area is 34.12 square inches

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Answer:

sure

Step-by-step explanation:

Fire barriers and fire partitions are both used in building design to prevent the spread of fire. However, there are some differences between the two that are important to understand.

Fire partitions are used to divide a building into smaller fire compartments, and they have a fire resistance rating of at least one hour. They are designed to keep smoke and flames from spreading from one compartment to another.

Fire barriers, on the other hand, are designed to prevent the spread of fire and smoke between different types of occupancies (e.g. between a storage facility and an office building). Fire barriers are usually required to have a fire resistance rating of two or three hours.

Fire barriers and partitions are both required to have fire-resistant walls, floors, and ceilings. However, fire barriers are required to have additional features, such as fire doors and smoke dampers, to ensure that they are effective at preventing the spread of fire.

Fire barriers must also be tested and certified by a third-party testing agency to ensure that they meet the required fire resistance ratings.

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The signal x[n] is:  x[n] = 19 cos((pi/5)n - pi/2).

The numerical values for A, B, and C are:

A = \(sqrt(2 * a0^2 - a5^2)\)

B = \(2 * pi / N\)

C = \(arctan((a5 / sqrt(2 * a0^2 - a5^2)) / tan(5 * pi / N))\)

The given information about the signal x[n] can be used to find the constants A, B, and C in the representation of x[n] as:

x[n] = A cos(Bn + C)

where A, B, and C are constants. We have:

x[n] is a real and even signal with period N=10

The Fourier coefficient a0 is 11

The Fourier coefficient a5 is 5

The energy of x[n] is 50

The numerical values for A, B, and C can be found as follows:

A = \(sqrt(2 * a0^2 - a5^2) = sqrt(2 * 11^2 - 5^2)\) = 19

B = \(2 * pi / N\) = pi / 5

C = \(-arctan(a5 / sqrt(2 * a0^2 - a5^2)) = -arctan(5 / sqrt(2 * 11^2 - 5^2)) = -pi/2\)

Therefore, the signal x[n] can be represented as:

x[n] = 19 cos((pi/5)n - pi/2)

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The equation of each line given the y-intercept and x-intercept

5 and -4 is 4y- 20 = 5x.

The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).

Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).

The pitch of the line is

m = y2- y1/ x2- x1

= 5- 0/ 0-(- 4)

= 5/ 4

Point- pitch Formula y = m(x-x1)

where m is the pitch and( x, y) is the given point.

Now substituting the values

y- 0 = (5/4)( x-(- 4))

y = (5/4)( x 4)

4y- 20 = 5x

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The complete question :

Find the equation of the line that has an y intercept and x-intercept at

5 and -4.

​

Answer:

Step-by-step explanation:

25% commission equals 180.00

Total sales amount is x:

The Prime factors of 36 are (2²) * (3²) or 2 * 2 * 3 * 3. Thus, option B is the correct answer.

Prime numbers are numbers that are not divisible by numbers other than 1 or the number itself. Composite numbers are numbers that have more than 2 factors other than 1 and the number itself.

Factors are numbers that when divided by another number leave no remainder. Prime factors are the prime numbers that when multiplied the product we get equal to the original number.

To calculate the prime factor, we use the division method.

In this method, firstly we divide the number by the smallest prime number it is when divided by is completely divisible. In this case, we divide 36 by 2 and get 18 as the quotient.

Again, divide the quotient of the previous division by the smallest prime number it is divisible. So, 18 is again divided by 2 and we get 9.

Repetition of the previous step takes place until we get 1. And 9 ÷ 3 = 3. Then  3 ÷ 3 = 1. Since we get 1, this is the final answer.

Finally, Prime factorization of 36 = 2 × 2 × 3 × 3 or we can write it as (2²) * (3²)

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Answer:

There are six possible outcomes when rolling a die, and three of them are prime numbers (2, 3, and 5). Therefore, the probability of rolling a prime number on a single die is 3/6, or 1/2.

The probability of rolling a 5 on the red die is 1/6, since there is only one face with a 5 out of the six faces.

To find the probability that the red die lands on a 5 and the blue die lands on a prime number, we need to multiply the probabilities of these two events occurring:

P(red die lands on 5 AND blue die lands on prime number) = P(red die lands on 5) x P(blue die lands on prime number)

P(red die lands on 5 AND blue die lands on prime number) = (1/6) x (1/2)

P(red die lands on 5 AND blue die lands on prime number) = 1/12

Therefore, the probability that the red die lands on a 5 and the blue die lands on a prime number is 1/12 or approximately 0.083 or 8.3%.

Answer:

y = -1/2x + 19/2

Step-by-step explanation:

Hi there!

We are given the points (9,5) and (7,6)

We want to write an equation of the line that contains these two points, in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The formula for the slope (m) calculated from 2 points is \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have everything we need to find the slope, but let's label the values of the points to avoid any confusion.

\(x_1=9\\y_1=5\\x_2=7\\y_2=6\)

Now substitute these values into the formula to find the slope

m= \(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{6-5}{7-9}\)

Subtract

m=\(\frac{1}{-2}\)

m=-1/2

The slope of the line is -1/2

We can substitute this as m into the formula for slope-intercept form:

y = -1/2x + b

Now we need to find b

As the equation passes through (9, 5) and (7, 6), we can use either one to solve for b

Taking (7, 6) for example:
Substitute 7 as x and 6 as y into the equation

6 = -1/2(7) + b

Multiply

6 = -7/2 + b

Add 7/2 to both sides

19/2 = b

substitute 19/2 as b:

y = -1/2x + 19/2

Hope this helps!

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Answer:

Each banana would weigh ¼ of a pound

Step-by-step explanation:

If there are three bananas that all equal ¾ of a pound, then ¾÷3=¼

Answer:

c

Step-by-step explanation:

The coordinates of M₁, the midpoint of side AC is (-8.5, 7).

The coordinates of M₂, the midpoint of side BC is (-5.5, 7).

The length of the segments that connect M₁ to M₂ is 3 units.

In order to determine the midpoint of a line segment with two (2) end points, we would add each point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment AC, we have:

Midpoint of AC = [(-7 - 10)/2, (11 + 3)/2]

Midpoint of AC = [-17/2, 14/2]

Midpoint of AC = (-8.5, 7).

For line segment BC, we have:

Midpoint of BC = [(-7 - 4)/2, (11 + 3)/2]

Midpoint of BC = [-11/2, 14/2]

Midpoint of BC = (-5.5, 7).

In Mathematics, the distance between two (2) end points can be calculated by using the following mathematical equation (formula):

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance M₁M₂ = √[(-5.5 + 8.5)² + (7 - 7)²]

Distance M₁M₂ = √[3² + 0²]

Distance M₁M₂ = √[9 + 0]

Distance M₁M₂ = 3 units.

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In mathematics, a recursive formula is a formula that shows the relationship between each term of a sequence with the one or more preceding terms. It is also called a recurrence relation or difference equation.

The recursive formula is used to find a term in a sequence if the value of the previous terms is known. This is in contrast to an explicit formula, which expresses the nth term of a sequence in terms of n alone. Recursive formulas are used in many different fields, including computer science, physics, and biology. In computer science, for example, recursive algorithms are often used to solve problems involving data structures and other complex systems.

There are different methods to find the recursive formula for a sequence. One of the most common methods is to look for a pattern in the differences between consecutive terms of the sequence.

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\(h = 2 \sqrt{2} \)

\(c = \frac{8}{ \sqrt{3} } = \frac{8 \sqrt{3} }{3} \\ \)

From the graph, let's write the equations for f(x) and g(x).

Apply the slope-intercept form of linear equations:

y = mx + b

Where m is the slope and b is the y-intercept.

• For f(x):

To find the slope apply the slope formula:

Take two points on the line of f(x):

(x1, y1) ==> (0, -1)

(x2, y2) ==> (-2, 0)

Thus, we have:

The y-intercept (b), is the point the line crosses the y-axis.

Therefore, the y-intercept for f(x) is at b = -1

Therefore, the equation for f(x) is:

• For g(x):

Take two points on the line of g(x).

(x1, y1) ==> (-2, 0)

(x2, y2) ==> (2, 2)

Apply the slope formula to find the slope:

The y-intercept of g(x) is: b = 1

Therefore, the equation for g(x) is:

To determine the reflection that transforms f(x) to g(x):

From the graph, we can see the red line represents f(x) while the blue line is that of g(x).

Apply the transformation rules for functions.

When f(x) becomes -f(x), there is a reflection over the x-axis.

Here, the parent function f(x) becomes -f(x) = g(x)

Therefore, there was a reflection over the x-axis that transforms the grah f(x) to g(x).

ANSWER:

• f(x) = -½x - 1

• g(x) = ½x + 1

• Reflection over the x-axis.

i think it would be -8x - 10.

Answer:

Blank 1: 0.12

Blank 2: 0.18

Step-by-step explanation:

Out of 50, there are 6 numbers that contain the digit 5, (5, 15, 25, 35, 45, 50)

so when you take 0.06 and multiply it by 2 (because you have to multiply 50 by 2 to get 100), you get 0.12.

For blank 2, there are 9 single digit numbers, (1, 2, 3, 4, 5, 6, 7, 8, and 9) equaling 0.09. Multiply that by 2 and you get 0.18.

Answer:

19

Step-by-step explanation:

Answer:

Hey there!

We use the distance formula to find the distances between each of these points.

From -2, 1 to 6, 1 is a total of 8 units.

From 6, 1 to 6, -3 is a total of 4 units.

From 6, -3 to 9, -3 is a total of 3 units.

8+4+3=15 units.

Let me know if this helps :)

Thethe inverse of f(x) and its domain can be written as  f-¹(x) =  1/(x+1 )- 5 where x \(\neq\)-1

Given : f (x) = 1/(x+5 )-1

we can make f(x) as y which implies that  f(x) = y

Then we will have  y= 1/(x+5) -1

if we flip x as well as y the we weill have ,

x= 1/y+5 -1

we can rearrange as ( x+1)=  1/(y+5 )

making y+5 the subject of the formular, we have

( y+5)=  1/(x+1 )

y=  1/(x+1 )- 5

f-¹(x) =  1/(x+1 )- 5

x+1 \(\neq\) 0

x \(\neq\) -1

Therefore, option C is correct which is f-¹(x) =  1/(x+1 )- 5 where x \(\neq\)-1

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properly written question:

15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.

Answer:

156 months

Step-by-step explanation:

13 years

12 months a year

12x13=156

Answer:

D is the correct answer

Step-by-step explanation: