What is the direction of the vector w=<-1, 6>?

Mathematics

1 answer:

Basile [38]3 years ago

7 0

Djdjdbiansjxn that’s the answer

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In the function y = -5x2 + 5 , the graph will open down, be shifted up 5 units, and it will be wider than the parent function y

masya89 [10]

We are considering the function $y=f(x)=-5 x^{2} +5$

the graph of this function is the graph of the parent function $y=g(x)= x^{2}$ after applying the following steps.

1. multiply by -1:

$-x^{2}$ is $x^{2}$ reflected with respect to the x-axis.

2. multiply by 5:

$-5x^{2}$ is $-x^{2}$ shrinked towards the y axis.

for example, consider x=1/2

$-5x^{2}=-5( \frac{1}{2} )^{2}=-5* \frac{1}{4}= \frac{-5}{4}=-1.25$

$-x^{2}=- ( \frac{1}{2} )^{2}=- \frac{1}{4}=-0.25$

now this means that $-5x^{2}$ is "lower" than $-x^{2}$ , which means there is a shrinking of the graph.

3. add 5:

$-5 x^{2} +5$ is $-5 x^{2}$ shifted 5 units up.

4.

so the graph of the function a) opens down, b) is shifted 5 units up, c) is not wider than the parent function

Answer: False

6 0

4 years ago

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular

rewona [7]

The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L

<h3>The domain of the function</h3>

The equation of the function is given as:

$C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}$