All categories

3 years ago

Find the domain of

Mathematics

1 answer:

ch4aika [34]3 years ago

6 0

Answer:

C (x ≥ -6)

Step-by-step explanation:

Algebraic:

The domain of $\sqrt{x}$ is $x\geq 0$ . When transformed 6 units to the left, it becomes $x\geq -6$

Graphically:

As shown in the attached graph, $x\geq -6$ .

You might be interested in

Ethan purchased a container of sports drink that contains 300 calories. The label says that 80% of the calories are from carbohy

MA_775_DIABLO [31]

240 each 10 percent is 30 calories multiply them by ten gets you 300

7 0

3 years ago

I NEED HELP PLEASE, THANKS! :)

Alenkasestr [34]

Answer:

Option A

Step-by-step explanation:

This is a great question!

The first thing we want to do here is to graph the system of " inequalities " -

$\begin{bmatrix}2x+9y\le \:100\\ 9x+y\le \:54\end{bmatrix}$

As x is ≥ 0, respectively y ≥ 0, it makes things a lot simpler, as it kind of restricts us to quadrant 1, but not entirely.

First change each inequality to " slope - intercept " form, as such -

$2x + 10y \leq 100,\\10y \leq 100 - 2x,\\y \leq - 1 / 5x + 10\\----------\\9x + y \leq 54,\\y \leq - 9x + 54$

The graphed solutions would be in the attachment. I have colored the region with which the two intersect, and the fact that we are limited to quadrant 1. In this colored region there are 3 major points, ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ). We have to determine which of these are are maximum points, as the minimum are the same. Substitute these values ( ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ) ) into the equation f( x, y ) = 10x + 4y,

$f ( x, y ) = 10( 5 ) + 4( 9 ),\\f ( x, y ) = 86 -\\f ( x, y ) = 10( 0 ) + 4( 10 ),\\f ( x, y ) = 40 -\\f ( x, y ) = 10( 6 ) + 4( 0 ),\\f ( x, y ) = 60$

( 5, 9 ) resulted in the greatest amount, 86. That would make it our maximum point -

Solution = Option A

3 0

3 years ago

Modeling with systems of linear inequalities

NeX [460]

Huh what you mean.....

8 0

3 years ago

Nina had 9 apples to share with 5 of her friends. If all 6 people get equal share , how many apples will each person get? How do

Umnica [9.8K]

Nina + her 5 friends = 6 people
Then she has 9 apple to share with her and her friends.
Let’s calculate how many apple will each people get when they equally divide it with each other:
=> 9 – 6 = 3
Thus already have 1 apple each, now, let’s divide the remaining 3 apples
=> 3 / 6 = .5
So they have half of apple each. Let’s add
=> 1 + .5 = 1.5
Each person will get 1.5 apple.
=> 1.5 * 6 = 9

7 0

3 years ago

Read 2 more answers

Follow the steps to solve this equation:

saw5 [17]

4X-8=12
+8 +8

4x/4=20/4

X=5

5 0

3 years ago

Read 2 more answers