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slavikrds
1 day ago
12

Angelica is working with function machines. She has the two machines at shown at the right. She wants to put them in order so th

at the output of the first machine becomes the input of the second. Her initial input is six.

Mathematics
1 answer:
Leona [4.1K]1 day ago
3 0
To achieve the desired output, first use the machine with the function y = x^2 - 6, followed by the machine that computes y = sqrt(x-5). This way, when you input 6, the output from the first machine is calculated as x = 6, yielding y = 6^2 - 6, resulting in 30 as the input for the second machine. The second machine then processes this to provide the final output of sqrt(30 - 5), which equals sqrt(25) = 5. Alternatively, to obtain a negative final output, you should first utilize the machine with the function y = sqrt(x-5). Assuming you start with the value x = 9, the first machine computes this to sqrt(9-5), which is sqrt(4) = 2. Then, the second machine converts y to 2^2 - 6, leading to a result of 4 - 6 = -2.
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Yolanda is buying supplies for school. She buys n package of pencils at $1.40 per package and m pads of paper at $1.20 each. Wha
Inessa [3907]

To tackle this issue, we need to clarify what each variable stands for. Here, n indicates the number of pencil packages purchased by Yolanda, while m represents the number of paper pads she buys. We calculate the total cost by multiplying these variables by their individual prices, which helps us determine the expense for both pencil packages and pads of paper.

The expression "1.4n" indicates the overall cost for n pencil packages.

On the other hand, "1.2m" signifies the complete expense for m pads of paper.

As we sum these two expressions, the resulting total reflects the overall expenditure for both items.

The equation "1.4n + 1.2m" summarizes this calculation.

I hope this provides clarity!

8 0
8 days ago
An investment of $7,650 earns interest at the rate of 5% and is compounded quarterly. What is the accumulated value of the inves
zzz [4022]
FV = P(1 + r/t)^nt, where P denotes the principal amount, r is the interest rate, t is the frequency of compounding per year, and n is the total number of years.

Calculating: FV = 7650(1 + 0.05/4)^(9 x 4) = 7650(1 + 0.0125)^36 = 7650(1.0125)^36 = 7650(1.564) = $11,964.17

8 0
4 days ago
Read 2 more answers
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y =
tester [3916]

Answer:

The constant pay of $25 signifies the intercept

Step-by-step explanation:

To address this query, we first need to comprehend and relate it to the formula for a straight line.

i.e y= mx+c  this represents the line's equation

where m= slope

           y= dependent variable

           x= independent variable

          c= intercept

Given

y= 25+5h

by comparing the two expressions, we can observe that

25 is equivalent to c, which denotes the intercept

6 0
11 days ago
c) Keeping all other criteria the same, add a child to the family you used in part a to determine the monthly expenses. How does
Leona [4166]

Answer:

With the addition of a child, both the family's income and expenses increase. Although the initial expenses might be higher, the financial benefits will manifest over time.

5 0
1 day ago
What values of b satisfy 4(3b + 2)2 = 64?
lawyer [4008]
Starting with the equation 4(3b + 2)² = 64, if we divide both sides by 4 we obtain (3b + 2)² = 16. By taking the square root of both sides, we derive two cases: (3b + 2) = 4 and (3b + 2) = -4. Solving each equation for b yields: 3b = 2 or 3b = -6, leading to b values of 2/3 and -2. Ultimately, the results specify that b = 2/3 and b = -2.
8 0
8 days ago
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