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aliina [53]
2 years ago
14

Domain and range of this graph

Mathematics
1 answer:
Orlov [11]2 years ago
3 0

Answer:

  c.  D = {x | x ≥ -3}, R = {y | y ≥ 0}

Step-by-step explanation:

The domain is the horizontal extent of the graph. The range is its vertical extent.

__

We observe that point (-3, 0) is a point on the graph, so x=-3 is included in the domain, and y=0 is included in the range. The only answer choice that has the "or equal to" case included for both x and y is ...

  D = {x | x ≥ -3}, R = {y | y ≥ 0}

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steposvetlana [31]
Answer: y \in R; y \neq 0
Explanation: For this, it is often best to find the horizontal asymptote, and then take limits as x approaches the vertical asymptote and the end behaviours.

Well, we know there will be a horizontal asymptote at y = 0, because as x approaches infinite and negative infinite, the graph will shrink down closer and closer to 0, but never touch it. We call this a horizontal asymptote.
So we know that there is a restriction on the y-axis.

Now, since we know the end behaviours, let's find the asymptotic behaviours.

As x  approaches the asymptote of 7⁻, then y would be diverging out to negative infinite.
As x approaches the asymptote at 7⁺, then y would be diverging out to negative infinite.

So, our range would be: y \in R; y \neq 0
6 0
3 years ago
We have a jar of coins, all pennies and dimes. All together, we have 309 coins, and the total value of all coins in the jar is $
Vinvika [58]

There are 130 pennies in the jar

Step-by-step explanation:

We have a jar of coins

  • All coins are pennies and dimes
  • There are 309 coins in the jar
  • The total value of all coins in the jar is $ 19.2

We need to find the number of pennies in the jar

Assume that there are p pennies and d dimes in the jar

∵ There are p pennies and d dimes in the jar

∵ There are 309 coins in the jar

∵ All the coins in the jar are pennies and dimes

∴ p + d = 309 ⇒ (1)

∵ The total value of all coins in the jar is $ 19.2

∵ $1 = 100 cents

∴ $19.2 = 19.2 × 100 = 1920 cents

∵ 1 penny = 1 cent

∵ 1 dime = 10 cents

∴ p + 10 d = 1920 ⇒ (2)

Now we have system of equations, we can solve them to find p

∵ p + d = 309 ⇒ (1)

∵ p + 10 d = 1920 ⇒ (2)

- Multiply equation (1) by -10 to eliminate d

∵ (-10)(p) + (-10)(d) = (-10)(309)

∴ -10 p - 10 d = -3090 ⇒ (3)

Add equations (2) , (3)

∴ -9 p = -1170

- Divide both sides by -9

∴ p = 130

There are 130 pennies in the jar

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

#LearnwithBrainly

8 0
3 years ago
Complete the steps to write an explicit formula that
mihalych1998 [28]

Answer:

Find the slope of the line that passes through the points given in the table. The slope is 5.

Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is 1.

Write the formula as a function of n in slope-intercept form. The function is

f(n) = 5n+1  for n in the set of natural numbers.

4 0
3 years ago
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Someone help asap pls! answer AND explanation
AysviL [449]

Answer:

D.

Step-by-step explanation:

It is simply asking for the number that makes the equation untrue. So, all you need to do is plug in the various numbers below for w, and find out the incorrect number. Example with option D:

w-10≤16

27-10≤16

17≤16.

This makes the equation untrue, as 17 is not less than or equal to 16.

Hope this helps!

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2 years ago
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Write a value-returning recursive function that computes the sum of the digits in a given positive int argument. for example, if
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