All categories

2 years ago

Solve 5.4p+13.1=−2.6p+3.5 . Check your solution. p= __

Mathematics

1 answer:

maxonik [38]2 years ago

3 0

5.4p +13.1 = −2.6p+3.5 .

5.4p + 2.6p = 3.5 -13.1

8.0p = -9.6

p = -9.6 / 8

p = -1.2

You might be interested in

Elsa earns 5140 for working 20 hours

lys-0071 [83]

Answer:

$2.57

Step-by-step explanation:

divide 5,140 by 20,

5,140/20=257=2.57

7 0

2 years ago

Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |

dsp73

Looks like $f(x,y)=x^2+y^2-x^2y+7$ .

$f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1$

$f_y=2y-x^2=0\implies2y=x^2$

If $x=0$ , then $y=0$ - critical point at (0, 0).
If $y=1$ , then $x=\pm\sqrt2$ - two critical points at $(-\sqrt2,1)$ and $(\sqrt2,1)$

The latter two critical points occur outside of $D$ since $|\pm\sqrt2|>1$ so we ignore those points.

The Hessian matrix for this function is

$H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}$

The value of its determinant at (0, 0) is $\det H(0,0)=4>0$ , which means a minimum occurs at the point, and we have $f(0,0)=7$ .

Now consider each boundary:

If $x=1$ , then

$f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4$

which has 3 extreme values over the interval $-1\le y\le1$ of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

If $x=-1$ , then

$f(-1,y)=8-y+y^2$

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

If $y=1$ , then

$f(x,1)=8$

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

If $y=-1$ , then

$f(x,-1)=2x^2+8$

which has 3 extreme values, but the previous cases already include them.

Hence $f(x,y)$ has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

3 0

3 years ago

-7 < b/3 what is the answer

Nat2105 [25]

B > -21 is i think you answer.

3 0

3 years ago

2/3 (3x+9)=-2 (2x+6)

rosijanka [135]

Answer: x=−3

Step-by-step explanation: Let's solve your equation step-by-step.

(3x+9)=−2(2x+6)

Step 1: Simplify both sides of the equation.

(3x+9)=−2(2x+6)

(

)(3x)+(

)(9)=(−2)(2x)+(−2)(6)(Distribute)

2x+6=−4x+−12

2x+6=−4x−12

Step 2: Add 4x to both sides.

2x+6+4x=−4x−12+4x

6x+6=−12

Step 3: Subtract 6 from both sides.

6x+6−6=−12−6

6x=−18

Step 4: Divide both sides by 6.

−18

x=−3

5 0

3 years ago

Read 2 more answers

List all the prime numbers from 1 to 50

Cloud [144]

Prime numbers from 1 to 50:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,41, 43, 47

4 0

3 years ago

Read 2 more answers