Can someone help me and work it out plzzzz

Mathematics

1 answer:

UkoKoshka [18]2 years ago

6 0

9514 1404 393

Answer:

(c) x ≥ 0
(d) reals ≥ 2

Step-by-step explanation:

The square root is only defined for arguments that are greater than or equal to zero.

√x . . . . defined for x ≥ 0

It will only have non-negative values.

√x . . . . has values ≥ 0

Using these facts, we can answer the questions.

1. The domain is the set of values x may have. The square root function limits the domain to x ≥ 0.

2. The range is the set of values y may have. The square root function is never negative, so the range must be 2 or greater.

y ≥ 2

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What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?

Elza [17]

Answer:

y=-2x-3

Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:

$-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2$

Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning $\frac{1}{2}=-2$ (negative reciprocal). Now we must use the point slope formula: