Consider the function represented by the equation x - y = 3. What is the equation written in function notation, with x as the

Mathematics

1 answer:

Alex Ar [27]3 years ago

5 0

Answer:

f(x)=x-3

Step-by-step explanation:

You are given x-y=3 and you want to rewrite in function notation with x being the independent. That means we need to solve for y so y can depend on x.

x-y=3

Subtract x on both sides:

-y=-x+3

Multiply both sides by -1:

y=x -3

So function notation would be f(x)=x-3

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Two ants start at the origin of the rectangular grid shown above where each unit represents an inch. They roam around in differe

weeeeeb [17]

To help clarify the problem, we can plot the two ants on a graph (see attached image). However, we don't need the graph to solve the problem.

Let's first find the distance in their 'x' values:
= |-3| + |4|
The '| |' means that we don't care if it is negative, we just want the positive value.
= |-3| + |4| is the same thing as = 3 + 4
= 7

Now let's find the distance in their 'y' values:
= |5| + |-2|
= 7

From here, since we have the 'x' and 'y' distances, we can create a triangle. The 'x' and 'y' will be our side lengths, and the hypotenuse is then the distance between the two ants.

In order to find the hypotenuse, we use the Pythagorean theorm: $c^{2}=a^{2}+b^{2}$

Now we plug and solve:
$c^{2}=(7)^{2} + (7)^{2}$
$c^{2}=98$
$c= \sqrt{98}$

∴The distance between the two ants is $\sqrt{98}$ or 9.899

Hope this helps!

3 0

3 years ago

What is the length of each side of a square that has the same areas as the rectangle below? Round to the nearest tenth. Height:

NikAS [45]

I feel like the answer is c

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3 years ago

Jose bought 6 chicken wings for $2. What was the cost of the wings in wings per dollar? Express your answer in simplest form.

pogonyaev

Answer:

0.5$each

Step-by-step explanation: