Find the point in the first octant where the tangent plane to x2+116y2+14z2=1 is parallel to the plane x+y+z=10

Vasko was renting a high performance bicycle for his Olympic training. Bicycle A is $25 per month and requires a down payment of

Agata [3.3K]

You need an equation system.

First, translate the text into equations :

y = total price for the bike
x = number of months

first bike :
y = 25x + 500

second bike :
y = 50x + 200

Then you have to solve the system by placing the two equations side by side and comparing them.

25x + 500 = 50x + 200

Solve to find the value of x

7 0

3 years ago

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

SOVA2 [1]

For this case we have a function of the form:

$y = A * (b) ^ x$

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

$b = 2$

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

$2 = A * (2) ^ 1$

Clearing A we have:

$2 = A * 2$

$A = \frac{2}{2}\\A = 1$

Then, the function is given by:

$y = 1 * (2) ^ x$

For after 9 hours we have:

$y = 1 * (2) ^ 9\\y = 512$

Answer:

the diameter of the bacteria after 9 hours is:

$y = 512$

6 0

3 years ago

Please helps thank you

LUCKY_DIMON [66]

The best answer would be C.

Hope this helps:)

3 0

3 years ago

What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show

jarptica [38.1K]

The remainder of the polynomial equation is -49

<h3>What is a remainder of a polynomial equation?</h3>

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

$\mathbf{= \dfrac{5x^3+7x+5}{x+2} }$