Which ordered pairs are solutions for y=3x-5? choose all that apply

An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars w

KATRIN_1 [288]

Answer:

45 horseshoe crabs and 45 sea stars

Step-by-step explanation:

The aquarium initially contained x crabs and x sea stars.

"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"

(x-15):(x-27) = 5:3

(x-15)/(x-27) = 5/3

3(x-15) = 5(x-27)

3x-45 = 5x-135

90 = 2x

x = 45

5 0

3 years ago

What is the relation between the variables in the equation x^4/y=7?

makkiz [27]

Answer:

So, the relation between variables are

$y=\frac{x^4}{7}$

Step-by-step explanation:

We are given

$\frac{x^4}{y}=7$

Since, we have to find relation between variables

so, we can solve for y

$\frac{x^4}{y}=7$

Firstly, we will multiply both sides by y

$\frac{x^4}{y}\times y=7\times y$

we can simplify it

$x^4=7\times y$

we can isolate y

so, we can divide both sides by 7

so, we get

$y=\frac{x^4}{7}$

8 0

3 years ago

3

viktelen [127]

Answer:

altemate interior angles

7 0

3 years ago

State whether f is a function

Alenkinab [10]

<h2>Answer:</h2>

$y=\pm (\frac{x}{6})^{\frac{1}{4}} \ is \ not \ a \ function$

<h2>Step by step solution:</h2>

A function $f$ from a set $A$ to a set $B$ is a relation that assigns to each element $x$ in the set $A$ exactly one element $y$ in the set $B$ . The set $A$ is the domain (also called the set of inputs) of the function and the set $B$ contains the range (also called the set of outputs). On the other hand, a function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function $f$ has an inverse function if and only if there is no any horizontal line that intersects the graph of $f$ at more than one point. So the function is called one-to-one. The graph of $f$ is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find $f^-{1}(x)$ :

$f(x)=6x^4 \\ \\ Substitute \ f(x) \ by \ y \\ \\ y=6x^4 \\ \\ Interchange \ x \ and \ y: \\ \\ x=6y^4 \\ \\ Solve \ for \ y: \\ \\ y^4=\frac{x}{6} \\ \\ Solving \\ \\y=\pm \sqrt[4]{\frac{x}{6}} \\ \\ \boxed{y=\pm \left(\frac{x}{6}\right)^{\frac{1}{4}}}$

and this is not a function because there are elements in the set of inputs that match with two elements in the set of outputs.

5 0

3 years ago

Read 2 more answers

Given the equation p-54-59, which equation is solved for t?

Nataly [62]

Snsklssms
S
S

As

As
S
S

S
S
S
As
Miss

Ss
Smsms
S
S
And
SMS

5 0

3 years ago