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yan [13]
3 years ago
13

Use the graph of the function f to determine f(x)

Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer: option a.

Step-by-step explanation:

The \lim_{x \to a} f(x) give us information about the behavior of the function when the variable <em>x </em>gets closer to the value <em>a. </em>In other words, it tells us to what value <em>y</em> gets closer when <em>x </em>gets closer to the value <em>a. </em>

<em> </em>In this case we are evaluating the limits when:

{x \to -3}

{x \to 0}

{x \to 2}

of the function shown in the graph.

As you can observe in the graph, when:

{x \to -3} , y=3

{x \to 0} , y=0

{x \to 2} , y=-2

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① 5J+2S =12.20 ② 5J+ 10S =15.80 elimination method
hram777 [196]

Answer:

<h2>S = 9/20</h2><h2>J = 113/50</h2>

Step-by-step explanation:

5J +2S =12.20 ........(1)\\5J+10S=15.80......(2)\\Multiply \:equation \:(1)\:by\:the\:coefficient\:of\:x\:in equation\:(2)\\\\Multiply\:equation(2)\: by\: the\: coefficient\:of \:x\: in \:equation (1)\\\\5J +2S =12.20 ........(1) \times 5\\5J+10S=15.80......(2)\times 5\\\\25J+10S=61......(3)\\25J+50S = 79......(4)\\Subtract\:equation\:(4)\:from\: equation\: (3)\\-40S =-18\\\frac{-40S}{-40}=\frac{-18}{-40}\\  S = 9/20\\

Substitute \:9/20\:for \:x \:in\:equation\:(1)\:or \:equation\:(2)\\5J+2S = 12.20\\5J +2(9/20) =12.20\\5J +9/10=12.20\\5J=12.20-9/10\\5J=113/10\\Cross-Multiply\\50J = 113\\J = 113/50

4 0
3 years ago
Membership to a music club costs $165. Members
dimulka [17.4K]

Answer:

11 music lessons.

Step-by-step explanation:

We know that membership costs $165 and members pay $25 per music lesson.

So, we can write the following expression:

165+25m

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.

We know that non-members pay no membership fee but their cost per lesson is $40. So:

40m

Represents the cost for non-members for m music lessons.

We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

165+25m=40m

And solve for m. Let's subtract 25m from both sides:

165=15m

Now, divide both sides by 15:

m=11

So, at the 11th music lesson, members and non-members will pay the same.

Further Notes:

This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.

However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.

And we're done!

5 0
3 years ago
HELPHELPHELPHELPHELPHELPPPPP​
Makovka662 [10]

Answer:

pretty sure its -2,3 :)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
If an author can type 2500 words in 5 minutes, how many words can he type in 210 minutes?
Sonbull [250]

Answer:

105,000

Step-by-step explanation:

2500/5 gives you 500 x 210 =105,000

6 0
2 years ago
Joan’s washing machine tub is a cylinder with a height of 17 in. and a diameter of 22 in. Her washer was half full of water when
xxMikexx [17]
Find the volume of the cylinder and divide by 2:

V = pi * r^2 * h

V = 3.14 * 11^2 * 17

V = 6458.98

Divide by 2 since it's half full:

6458.98 / 2 = 3229.49

Now divide it by 46.2 to see how long it will take to drain out:

3229.49 / 46.2 = 69.902

So it will take approximately 70 seconds to drain out.
4 0
3 years ago
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