F(x) =X+4
g(x) = 3x² -7
Find (f-g) (x)

Algebra 2 sem 1

Answer:

In a function of two variables, the critical points are these in which both derivatives are 0, and if:

[tex]\frac{d^2f}{dx^2}*\frac{d^2f}{dy^2} - [ \frac{d^2f}{dxdy} ]^2 < 0[/tex]

the point is a saddle point.

If the above equation is larger than zero, the critical points can be either a local maximum or a local minimum.

If it is equal to zero, no conclusions can be made.

First, let's find all these derivatives.

df/dx = 4*(x^3)*(y^2)

This is zero when x or y are equal to zero.

df/dy = 2*(x^4)*(y)

This is equal to zero when either x or y are equal to zero.

So in both cases, the points of the form:

(x, 0) and (0, y) are zeros of the first derivative, so these are the critical points.

Now let's look at the second derivatives:

[tex]\frac{d^2f}{dx} = 4*3*x^2*y^2 = 12*x^2*y^2[/tex]

[tex]\frac{d^2f}{dy^2} = 2*x^4[/tex]

[tex][\frac{d^2f}{dxdy} ]^2 = (4*x^3*2*y)^2 = 64*x^6*y^2[/tex]

Then, the equation to see if the points are saddle points or not are:

[tex](12*x^2*y^2)*(2*x^4) - 64*x^6*y^2 < 0[/tex]

In any of the previous found points (the ones of the form (x, 0) and (0, y)) the above equation will be equal to zero, then none of these points is a saddle point. More than that, in the particular case where the above equation is equal to zero, the critical points can be either: A relative minimum, a relative maximum, or a saddle point (so we need more analysis to find it out)

But in this case is ratter simple, because both powers in f(x, y) are even, we can conclude that the function is even and symmetric about x= 0 and y = 0, and the function is also positive, so all the points:

(0, y) and (x, 0) are the minimum values that f(x, y) can take.

Then the critical points are relative minimums.

Answer:

angle 1 is 99

angle 2 is 81

Step-by-step explanation:

3x+x+48=180

4x+48=180

4x=132

x=33

Answer:

No

Step-by-step explanation:

here's a little trick, add a zero to make both numbers the same.

it's doesn't change the value.

so .27 and .3 become .27 and .30

and .30 is greater

Answer:

b

Step-by-step explanation:

Please mark brainliest

Answer:

28.27433

Step-by-step explanation:

Answer:

picture? (170

Step-by-step explanation:

Answer:

Volume of trunk = 4,14,720 inches³

Step-by-step explanation:

Find:

Length of trunk = 48 inches

Width of trunk = 22 ½ feet = 45 / 2 = 22.5 feet

Height of trunk = 32 inches

Find:

Volume of trunk

Computation:

1 feet = 12 inch

Width of trunk = 22.5 feet

Width of trunk = 22.5 x 12

Width of trunk = 270 inches

Volume of trunk = Length x Width x Height

Volume of trunk = 48 x 270 x 32

Volume of trunk = 4,14,720 inches³

Answer:

[tex]y =|x| - 4[/tex] is translated 3 units up

Step-by-step explanation:

Given

[tex]y =|x| - 4[/tex]

Required

The changes that makes it to: [tex]y =|x| - 1[/tex]

By observation, we can see that [tex]y =|x| - 4[/tex] was translated up to [tex]y =|x| - 1[/tex]

Next, is to calculate the units of translation (c)

Represent the old function as:

[tex]y=\left|x\right|-4 + c[/tex]

Equate y and y

[tex]\left|x\right|-4 + c =\left|x\right|-1[/tex]

Cancel out |x|

[tex]-4 + c=-1[/tex]

Solve for c

[tex]c = 4 - 1[/tex]

[tex]c = 3[/tex]

Answer:

The probability of Karmen picking a car with a black exterior and a beige interior is

1/6. The probability of Karmen picking a car with a beige interior and an automatic transmission is

1/4.

Step-by-step explanation:

The number of possible outcomes from the tree diagram is 12.

Two of the possible outcomes are a car with a black exterior and a beige interior. The probability of Karmen picking a car with a black exterior and a beige interior is , or .

Three of the possible outcomes are a car with a beige interior and an automatic transmission. So, the probability of Karmen picking a car with a beige interior and an automatic transmission is , or .

Answer:

1/6 and 1/4

Step-by-step explanation:

Just did this.

Answer:

The percent of the area under the density curve where [tex]x[/tex] is more that 3 is 25 %.

Step-by-step explanation:

Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:

[tex]A = \frac{1}{2}\cdot (x_{f} - x_{o})\cdot (y_{f}-y_{o})[/tex] (1)

Where:

[tex]A[/tex] - Area, in square units.

[tex]x_{f} - x_{o}[/tex] - Base of the triangle, in units.

[tex]y_{f} - y_{o}[/tex] - Height of the triangle, in units.

The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:

[tex]x = \frac{\frac{1}{2}\cdot (5-3)\cdot (0.25) }{\frac{1}{2}\cdot (5-1)\cdot (0.5) }\times 100\,\%[/tex]

[tex]x = 25\,\%[/tex]

The percent of the area under the density curve where [tex]x[/tex] is more that 3 is 25 %.

Answer:

6x - y + 17=0

Step-by-step explanation:

Given :-

And we need to find out the equation of the line. Using the point slope form. The point slope form of the line is ,

[tex]:\implies[/tex] m ( x - x1) = ( y - y1)

[tex]:\implies[/tex] 6( x -(-2)) = ( y -5)

[tex]:\implies[/tex] 6( x +2) = y -5

[tex]:\implies[/tex] 6x +12= y -5

[tex]:\implies[/tex] 6x - y +17=0

Answer:

B

Step-by-step explanation:

90-60 is 30 and it goes backwards so it is -30

Answer: If I am correcto, it's 638.625.

Sorry if the question may be Wrong, but, I am almost certain this is correct, from a Scientific point of Math.

Answer:

32 pieces

Step-by-step explanation:

basically its 8 x 4

8x4=32

you get 8 because it says they are cut into eighths and the 4 because of four pies

Answer:

hnjajka

Step-by-step explanation:

wlbhnaewbbu

Answer:

JK = 8

Step-by-step explanation:

As JK + KL = JL.

2x + 8 = 4x

–2x –2x

8 = 2x

÷2 ÷2

4 = x.

x = 4.

JK = 2x.

x = 4 → JK = 2x → JK = 2(4) → JK = 8.

Answer:

6 groups

Step-by-step explanation:

Division: 30/5 = 6

Multiplicatio: 6 times 5 = 30

hope it helps, have a nice day~

Answer:

A die usually has 6 sides.

Answer - B (1/2)

9514 1404 393

Answer:

  3 ≤ z ≤ 20

Step-by-step explanation:

The zoom capability ranges from 3 to 20, so we can write the compound inequality ...

  3 ≤ z ≤ 20

Answer:

D. x ≈ 2.60

Step-by-step explanation:

After graphing both of these equations separately, we can see that they meet at a point of x = 2.59, therefore the answer to this question would be D. Both values also seem to meet at an x value of -0.548 but it is not an option in this question, probably because the y output value is close not the same for both equations. The graphs can be seen in the attached picture below.

Answer:

D. x ≈ 2.60

Step-by-step explanation:

Plato

Answer:

22

Step-by-step explanation:

Answer:

asdfasdfasdfasdf

Step-by-step explanation:

Step-by-step explanation:

⁦ᕙ(⇀‸↼‶)ᕗ⁩⁦ᕦ(ಠ_ಠ)ᕤ⁩⁦୧( ಠ Д ಠ )୨⁩

Answer:

18

Step-by-step explanation:

.

Answer:

18

Step-by-step explanation:

Answer:

[tex] - 21 + 2(3 - 15) - ( - 3)( + 7) + ( - 3)( - 8) \\ = - 21 - 24 + 21 + 24 \\ = 0[/tex]

Answer:

24 ft cubed  

Step-by-step explanation:

V=l*w*h

V=  4 x 3 x 2

4 x 3=12 and 12 x 2= 24