Graph and find the x-intercept, y-intercept, domain, range, and horizontal asymptote of the function y = 4x

1 answer:

3 0

The function $y=4x$ is a line. As such, its domain and range is the whole real number set $\mathbb{R}$ , and it has no horizontal nor vertical asymptotes.

Moreover, there's no constant term, so it's x and y intercept is the origin (0,0).

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Laura bought a notebook and pencil for $4.50 the notebook cost twice the amount of the pencil

skad [1K]

Answer: N=3

Step-by-step explanation:

Let's represent notebooks with "N" and pencils with "P".

Then,

N + P = 4.50

Since N =2P, we can substitute that directly into the equation:

(2P) + P = 4.50

3P = 4.50 (divide both sides by 3)

P = 1.50

Now that we have P, we can in turn substitute that into the equation.

N + (1.50) = 4.50

N = 3.00

7 0

3 years ago

Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width

mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

$a^2+b^2=h^2$