3 years ago

Solve for x -23=13x+2x+22

Mathematics

1 answer:

Eva8 [605]3 years ago

6 0

Answer:

x=-3

Step-by-step explanation:

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Hannah went to dinner with 3 friends. They split the entire bill and each person paid $5 for tip. Hannah paid $18. What was the

Luda [366]

3*18 =3*5 +bill

54 = 15 + bill

39 = bill

6 0

3 years ago

Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

3 years ago

a model train has a scale of 1 in: 7 ft. If the real train is 14 ft. tall, how tall is the model train?

-BARSIC- [3]

Answer:

2 in.

Step-by-step explanation:

14/7=2

4 0

3 years ago

The length of a rectangle is 16 cm less than quadruple the width. If the perimeter is 28 cm,

PilotLPTM [1.2K]

Width = x cm
Length = 4x - 16

Perimeter = x + x + 4x -16 + 4x - 16
28 = 10x -32

(+ 32 to both sides)

60 = 10x

6 = x

Width = 6cm

Length = (6x4) - 16
= 8cm

5 0

2 years ago

A ball rolled 81 feet in 3 minutes. What was this ball's average speed, in feet per second?

mario62 [17]

Answer:

i already answered but 0.45

Step-by-step explanation:

5 0

3 years ago

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