What is the y-intercept of the function f(x) = -2/9x+1/3​

Answer:

Step-by-step explanation:

3

The partial derivatives are:
f_x = 2x - 6λ
f_y = 2y - 9λ
f_λ = -(6x + 9y - 10)

To find the partial derivatives of f(x, y, λ) = x^2 + y^2 - λ(6x + 9y - 10), we'll differentiate with respect to each variable (x, y, and λ) while treating the others as constants:

1. Partial derivative with respect to x (f_x):
f_x = ∂f/∂x = 2x - λ(6)

2. Partial derivative with respect to y (f_y):
f_y = ∂f/∂y = 2y - λ(9)

3. Partial derivative with respect to λ (f_λ):
f_λ = ∂f/∂λ = -(6x + 9y - 10)

So, the partial derivatives are:
f_x = 2x - 6λ
f_y = 2y - 9λ
f_λ = -(6x + 9y - 10)

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Answer:

mean = 5+9+9+6+6+11+8+4/7 = 8.29

median = 6

mode = 6

range = 11 - 4 = 7

Answer:

Step-by-step explanation:

5 , 9 , 6 , 6 , 11 , 8 , 4

Mean = sum of all data ÷ number of data

         \(= \frac{5+9+6+6+11+8+4}{7}\\\\= \frac{49}{7}\\\\= 7\)

Median: To find median, arrange in ascending order and medianis the middle term

4 , 5 , 6 , 6 , 8 , 9 , 11

Middle term = 4th term

Median = 6

Mode: a number that appears most often is mode

6 appears 2 times

Mode = 6

Range:

Range = maximum value - minimum value

          = 11 - 4

          = 7

Answer:

B

Step-by-step explanation:

also can i have brainly

Answer:

p = t - a - b

Step-by-step explanation:

T = a + p + b

- p + T = a + b

- p = - T + a + b

p = T - a - b

Answer:

The variable that belongs in the green box is T

(p=T-a-b)

Step-by-step explanation:

The total amount of fruit (T) minus the apples (a) and minus the bananas (b) would leave us with just the pears (p).

Writing this out mathematically, we have : T - a - b = p

Answer:

Step-by-step explanation:

It's $3.90 for every 30 meters. Or $0.13 for every meter.

Answer: She needs 10 1/2 hours to read the book.

Step-by-step explanation:I day = 1 3/4 hours

6 days = 1 3/4 x 6

6 days = 7/4 x 6

6 days = 42/4

6 days = 10 1/2 hours

Answer:

x=27

∠JLK=2x+1=2(27)+1=55

Step-by-step explanation:

∠A+∠K=180

3x+13+∠K=180

∠K=167-3x

∠K+∠L+∠J=180

167-3x+39+2x+1=180

207-x=180

x=27

∠JLK=2x+1=2(27)+1=55

Don't worry, you aren't gonna fail. Take a deep breath and relax. Geometry is tricky but you got this. Have a nice night.

Answer:

Step-by-step explanation:

∠AKL is exterior angle and as per property it is equal to sum of two non-adjacent angles:

Solving for x

And finding the value of ∠JLK:

Answer: 166 Soft Drinks

Step-by-step explanation:

250 ÷ 1.50 = 166

Answer:

good and how do you forget wut H is?

Step-by-step explanation:

In order to evaluate the function at the given values of x, let's use these values of x in the function and calculate its value.

So, for f(5.24), we have x = 5.24:

Rounding to one decimal place, we have f(5.24) = 149.0.

Now, for f(-8.36), we have:

Rounding to one decimal place, we have f(-8.36) = 444.4.

Answer:

x^2 -4x +10

Step-by-step explanation:

Standard form is

x^2-4x+10

Answer:

\(y= x^2 - 4x + 10\)

Step-by-step explanation:

Hopes this helps!!

Answer:

it could be angle DGF or CGA (they are both supplementary to angle CGD)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Thanks for the points! I appreciate it!

Answer:

IT EQUALS 1

Step-by-step explanation:

Answer:

1 sheet is 0.0089 cm thick.

Step-by-step explanation:

10000 sheets of paper is 89 cm thick

=> 1 sheet of paper is 89 ÷ 10000 = 0.0089cm thick

Answer:

100,000

Step-by-step explanation:

The value of n is 45°

the angle between a side of a polygon and an extended adjacent side.

it is also an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line.

The sum of all the exterior angles of a polygon is 360°

The exterior angles of the polygon are, n°, n°, n°, n°, 90°, 90°

The sum of all the exterior angles is 360

so that

n + n + n + 90° + 90° = 360

4n +180 = 360°

4n = 360 - 180°

4n = 180°

n = 180/4

n = 45°

In conclusion, the value of n is 45°

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Answer:

Odd: f(-x) = -f(x)

Step-by-step explanation:

Odd: f(-x) = -f(x)

f(-1) = 5

-(f(1)) = 5

The equations of the lines are y = (-7/3)x + 16/3 and y - 2 = (-7/3)(x + 6).

To find the equations of the lines, we start with the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Given the slope of -7/3, the equation for the first line becomes y = (-7/3)x + b. To determine the value of b, we substitute the coordinates of the given point (-6, 2) into the equation.

Substituting x = -6 and y = 2 into the equation, we have 2 = (-7/3)(-6) + b. Simplifying, we get 2 = 14 + b, and by rearranging the equation, b = 16/3. Therefore, the equation of the first line is y = (-7/3)x + 16/3.

For the second line, we can use the point-slope form, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) are the coordinates of the given point. Using the slope of -7/3 and the point (-6, 2), we substitute these values into the equation, resulting in y - 2 = (-7/3)(x + 6).

Hence, the equations of the lines are y = (-7/3)x + 16/3 and y - 2 = (-7/3)(x + 6).

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Answer:

30⁰ , 60⁰ , 90⁰

Step-by-step explanation:

Let the angles x , 2x , 3x

By angle sum property:

x + 2x + 3x = 180⁰

6x = 180⁰

x = 30⁰

Angles are : 30⁰ , 60⁰ , 90⁰

Let one angle be x, the second 2x and the third 3x.

x + 2x + 3x = 180 degrees (angle sum property of a triangle)

6x = 180 degrees

x = 180/6

x = 30 degrees

So one angle is 30°, the second is 60°, and the third is 90°.

Answer:

A. 11 inches

Step-by-step explanation:

All you have to do is dived 165 by 15

Answer:

A.11 inch

Step-by-step explanation:

i took the test!!!

The position of the particle at time t is given by s = f(t) = t^3 - 15t^2 + 72t, So, at t = 3 seconds, the particle's position is 108 feet.

Let's proceed with the calculation.

The law of motion for the particle is given by the function f(t) = t^3 - 15t^2 + 72t, where t represents time in seconds and s represents the displacement of the particle in feet.

To calculate the position of the particle at a specific time t, we substitute the value of t into the function f(t).

For example, let's calculate the position of the particle at t = 3 seconds:

f(3) = (3)^3 - 15(3)^2 + 72(3)
     = 27 - 135 + 216
     = 108 feet

So, at t = 3 seconds, the particle's position is 108 feet.

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An SAT-M score in the 98th percentile is approximately 734.55 or higher.

According to the College Board website,

The scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and a standard deviation of 111. Assume that SAT-M scores follow a normal distribution. To gain admission to a particular engineering school, a requirement is to obtain an SAT-M score in the 98th percentile, indicating that the score is among the top 2% of scores.

For getting the actual SAT-M score, we need to find the corresponding z-score for the 98th percentile.

Using the Inverse Normal Distribution Calculator, we get a z-score of 2.05 for the 98th percentile.

So, the formula for finding an actual SAT-M score is:

x = μ + zσ

Where x is the actual SAT-M score,

μ is the mean = 507,

z is the z-score = 2.05,

σ is the standard deviation = 111

x = 507 + (2.05)(111)

x = 507 + 227.55

x = 734.55

The actual SAT-M score for the 98th percentile is approximately 734.55 (rounded to the nearest hundredth).

Therefore, an SAT-M score of 734.55 or higher is required for admission to the engineering school.

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2x⁴+2x³-12x² is the correct option.

Given is an expression, 2x²(x+3)(x-2), we need to expand it,

To expand the given expression, we must multiply each term of every expression to each term of the other two expressions.

The expansion is as follows :

= 2x²(x+3)(x-2)

= 2x²(x²+3x-2x-6)

= 2x²(x²+x-6)

= 2x⁴+2x³-12x²

Thus, the required expended form is 2x⁴+2x³-12x².

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Answer:

She needed 3,000

Step-by-step explanation:

65% of the total amount= 1950

0.65x = 1950

x=3,000

Hope it helps :)

Answer:

Step-by-step explanation:

The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:

\(\frac{15}{18}=\frac{w}{30}\) and cross multiply.

18w = 450 so

w = 25

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

Answer:

Was B the correct answer?

I thought it was B as well.

Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.