All categories

3 years ago

F(x)=x 2 −6x+3 g(x)= x−2 f ( g ( 11 ) ) = f(g(11))

Mathematics

1 answer:

frutty [35]3 years ago

7 0

Answer:

Step-by-step explanation:

g(11)= 11-2=9

f(9)= 9²-54+3= 30

You might be interested in

Help me out here pleaseeeeeee

lord [1]

Answer : C (24 - 6) ÷ 3

(almost 100% sure this is correct lol)

8 0

2 years ago

Read 2 more answers

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

kodGreya [7K]

We're looking for a scalar function $f(x,y)$ such that $\nabla f(x,y)=\vec F(x,y)$ . That is,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+6y-7$

Integrate the first equation with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

Differentiate with respect to $y$ :

$-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7$

Integrate with respect to $y$ :

$g(y)=3y^2-7y+C$

So $\vec F$ is indeed conservative with the scalar potential function

$f(x,y)=x^2-6xy+3y^2-7y+C$

where $C$ is an arbitrary constant.

6 0

2 years ago

Nestor works at a garden center where he posts plants. It takes him 2 1/2 hours to pot 15 plants. How many plants can Nestor pot

guapka [62]

Answer:

Nestor can pot 6 plants in 1 hour.

Step-by-step explanation:

first lets convert 2 1/2 hours in mixed fraction form for better calculation

2 1/2 hours = (2*2 + 1)/2 = 5/2 hours

no of plants pot in 5/2 hours = 15

to find no. of plants pot in 1 hours lets

divide both side by 5/2

no of plants pot in 5/2/(5/2) hours = 15/(5/2) = 15*2/5 = 6

no. of plants pot in 1 hour = 6

Thus, Nestor can pot 6 plants in 1 hour.

6 0

3 years ago

How do I solve this

In-s [12.5K]

You use lots and lots of math.

5 0

3 years ago

I need help algebra

asambeis [7]

Answer:

A. the slope value is 1/4

B. 0

C. y = 1/4x

Step-by-step explanation:

A: the slope can be calculated with the formula

$m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1}$

m is the slope

(x1, y1) is your first coordinate point (any point will work)

(x2, y2) is your second coordinate point (any point will work)

Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:

$m = \frac{y2 - y1}{x2 - x1} = \frac{1 - 0}{4 - 0} = \frac{1}{4}$

B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.

the equation of the graph is y = mx + b.

m is the slope = 1/4

b is the y-intercept = 0

Therefore the equation is y = 1/4x

6 0

2 years ago

F(x)=x 2 −6x+3 g(x)= x−2 ​ ​ f ( g ( 11 ) ) = f(g(11))

F(x)=x 2 −6x+3 g(x)= x−2 f ( g ( 11 ) ) = f(g(11))