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2 years ago

Find the domain for the expression: y/y-5 + 1/y+8

Mathematics

2 answers:

Jet001 [13]2 years ago

7 0

Answer:

1/y+4

Step-by-step explanation:

1-5+1/y+8

1/y+(1-5+8)

1/y+4

maria [59]2 years ago

3 0

$\frac{y}{y} - 5 + \frac{1}{y} + 8$

→ $(1 - 5) + \frac{1}{y} + 8$

→ $-4 = \frac{ - 4}{1} = \frac{ - 4 \: • \: y}{y}$

→ $\frac{ - 4 \: • \: y + 1}{y} = \frac{1 - 4y}{y}$

→ $\frac{(1 - 4y)}{y} + 8$

→ $8 = \frac{8}{1} = \frac{8 \: • \: y}{y}$

→ $\frac{(1 - 4y) + 8 \: • \: y}{y} = \frac{4y + 1}{y}$

→ $\frac{4y + 1}{y}$

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8. x Х -1 0 1 2 -2 -1 о у 1 1

zloy xaker [14]

Answer:

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Step-by-step explanation:

hukh

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2 years ago

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

Ariel bought a 6-cup bag of dough for $6.34. She used 1.45 cups to make rolls and 3.45 cups to make bread. How much dough is lef

OverLord2011 [107]

Answer:

1.1 cups. Hope this helps.

Step-by-step explanation:

7 0

2 years ago

Please help guys need help

dmitriy555 [2]

Answer:

A) slope = 20.

B) The slope of 20 dollars per hour means that for every hour, the price of the service call increases by 20 dollars (or you could say the price of the service call is 20 dollars every hour, both work.)

Step-by-step explanation:

Recall that slope is y2 - y1 / x2 - x1.

Excellent. We are provided with two points: (1, 60) and (3, 100). Let’s enter this into our formula.

Slope = (100 - 60) / (3 - 1) = 40 / 2 = 20.

Now, to determine what the slope means, we can look at the axis titles on the graph. The x axis title is hours, or time in hours. The y axis title is price of the service call in dollars. Therefore, the slope is price (in dollars) per time (in hours).

This can be restated as: The slope of 20 dollars per hour means that for every hour, the price of the service call increases by 20 dollars (or you could say the price of the service call is 20 dollars every hour, both work.)

Hope this helps!

7 0

2 years ago

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?

Ahat [919]

Adding a value to the X value shifts the graph that many units to the left.

X+2 adds 2 to x, so the graph would shift 2 unites to the left.

The answer is:

The graph of g(x) is the graph of f(x) translated 2 units left.

7 0

2 years ago

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