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3 years ago

For what values of the variable does the following expression make sense:

1 answer:

3 0

This question revolves around the concept of domain (primarily) and range (secondarily). The domain of the square root function is [0, +infinity).

The domain of "three times the sqrt of a" shares that domain: [0, +infinity).

We were not asked to come up with the range, but if the range is wanted, it is

[0, +infinity).

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Shelby found a nice 2 bedroom apartment for rent for per month What should her monthly income be to afford this apartment?

Kryger [21]

Is it any answer choices?

8 0

2 years ago

Need some help with this one please

Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

Choice A is something we'll come back to
Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
Choice C is false for similar reasons as choice B. The slope should be negative.
Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

------------

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

7 0

3 years ago

Find parametric equations for the tangent line at the point (cos(3pi/6),sin(3pi/6), (3pi/6))

r-ruslan [8.4K]

$r(t)=(\cos{t},\sin{t},t)
\\r'(t)=(-\sin{t},\cos{t},1)
\\t= \frac{3\pi}{6} = \frac{\pi}{2}
\\ r'(t)=(-\sin{\frac{\pi}{2}},\cos{\frac{\pi}{2}},1)
\\ r'(t)=(-1,0,1)
\\
\\x=0+t(-1)=-t
\\y=1+t\times 0=1
\\z= \frac{\pi}{2} +t$

5 0

3 years ago

I know the answer just double checking <br>Expand<br>5(y+7)

vekshin1

X=5(y+7) or x=5y+35
sorry if I’m wrong

8 0

3 years ago

I’d x =48cm and y= 55cm, what is the length of w?

Trava [24]

Answer: A

Step-by-step explanation:

3 0

2 years ago