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2 years ago

Fully describe what transformations have occurred to the following function f(x)=-3√(x+2)

Mathematics

1 answer:

mezya [45]2 years ago

5 0

Answer:[

−

∞

)

{

≥

−

}

Step-by-step explanation:

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

2 years ago

Identify the domain and range of each of the graphs below. Domain: Range:

Anna11 [10]

Answer:

Domain → (-∞, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the graph.

Similarly, Range of the function is defined by the y-values or output values from the graph.

From the picture attached,

x - values for the line shown in the graph vary from negative infinity to positive infinity.

Therefore, Domain of the function will be → (-∞, ∞)

And for every x-value there is a y-value, so Range of the function will be same as domain (varying from negative infinity to positive infinity) → (-∞, ∞)

8 0

2 years ago

How do I answer this problem 24/5+_+8/7=9

juin [17]

Uhm so that is the photo

5 0

2 years ago

How are crabs and seashells different and how are they alike give more than one reason why give at least three examples!!!!!Plea

ipn [44]

Crabs are "alive"
Seashells are just a "shell" as in the hard part of a crab is attached and part of the crab
You eat crabs but not seashells

8 0

2 years ago

Find the missing length

gregori [183]

Answer:

? = 55

Step-by-step explanation:

if we put the triangles onto of each other

side CT is on top of TR

126 ÷ 70 = 1.8

70 × 1.8 = 126

BT is on top of TS

so,

99 ÷ ? = 1.8

99 = 1.8 × ?

99 ÷ 1.8 = ?

55 = ?

55 × 1.8 = 99

Hoped i helped :)

7 0

2 years ago