What is the value of f(-4) in the piecewise function f(x)= -x-5 for -5<= x <= -2; -x^2+1 for -2<=x<=2; (x-3)^2+2 for 2<=x<=4? If that makes any since

Answers

Answer 1
Answer:

Answer:

The value for f(-4) in the piecewise function is -1

Step-by-step explanation:

As the function is defined by pieces we must choose the correct interval when replacing. In this case, the value of the function needs to be calculated in x=4.  

This value of x is within the interval:

-5<=x<=-2

Therefore we replaced in the corresponding expression:

f(x)=-x-5

f(-4)=-(-4)-5=-1

Take into account this case is not particularly a function since, for example, in the value of x=-2 the expression can take two values corresponding to two different pieces.  The obtained result is only valid in the range for -5<=x<=-2.

Answer 2
Answer:


We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

Then, we use direct substitution:
f(-4) = -(-4) - 5
f(-4) = -1


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if on January 1st 2015 you decided to read 1001 Nights over the next 1001 Nights on which date would you finally finish

Answers

Well, one year is 365 days, and a leap year is every 4 years with an extra day, making leap years 366 days. 2016 is the nearest leap year. So, We take 365 from 1001 to get 636 days. Now it is January 1st 2016. So, subtract 366 from 636 to get 270 days. It is now January 1st 2017. There are 31 days in December, 30 in November, and 31 in October. Adding these together, you get 92. Subtracting 92 from 365, we get 273. So three days before October 1st is when you end. There are 30 days in September, so taking three away gives us the night of the 27th of September, 2017. So, the date you finish, if staying on a schedule of reading a bit each night, would be the night of September 27th, 2017, which is a Wednesday.

The ocean club collects 24.93 kg of trash on the first weekend of the summer. The club collects 18.3 kg the next weekend. How much more trash is collected the first weekend?
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Answers

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answer D

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Answers

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What is the slope of the line?

Answers

Answer:

3/3=1

Step-by-step explanation:

rise over run

Assume that the sales of a computer retail store are approximated by a linear function. Sales were $990,000 in 1983 and $2,830,000 in 1988. Let x=0 represent 1983. Find the equation given yearly sales. Estimate sales in 1991.

Answers

To find the equation for the linear function representing the sales, we need to find the slope (m) and the y-intercept (b).

The slope, m, can be calculated using the formula: m = (y2 - y1) / (x2 - x1),where (x1, y1) and (x2, y2) represent points on the line. Using the given data, (1983, $990,000) and(1988, $2,830,000),we have: m = (2,830,000 - 990,000) / (1988 - 1983) = 568,000Substituting one of the points, say (1983, $990,000), into the equation y = mx + b, we can solve for b: 990,000 = 568,000 * 0 + b b = 990,000

Therefore, the equation representing the sales is: y = 568,000x + 990,000. To estimate the sales in 1991, we substitute x = 8 (since 1991 corresponds to x = 8) into the equation: y = 568,000 * 8 + 990,000 y = 4,544,000 + 990,000 y ≈ $5,534,000.Therefore, the estimated sales for 1991 would be approximately $5,534,000.

To know more about linear function visit:

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The answer is $3,934,000

See attached calcs

3. Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be?4. Maggie has only dimes and quarters in her purse. She has 27 coins with a total value of $4.05 in her purse. How many dimes does Maggie have in her purse?

Question 5.5. Choose the correct answer.

Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 40% lemon juice and 60% lime juice to make 6 gal of the 50% lemon/50% lime juice mixture?
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1 gal
2 gal
2.5 gal

Answers

3. 140= 3x +x
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4. Number of dimes= d and number of quarters=q
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She has 18 dimes

5. 6 gal with a 50-50 split means 3 gallons each. The 60-40 has 3 gallons of lime. If 3 gal is 60%, the volume is 5 gal. We need to add 1 gallon

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4-  21 dimes

5-  1.5 gallons

I just took the test.

Hope this helps someone in the future.