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morpeh [17]
4 years ago
14

Find the inverse of each function Problem 1: Find the inverse of y = 3x - 8

Mathematics
2 answers:
marysya [2.9K]4 years ago
4 0
Switch y and x to find the inverse:
x = 3y - 8
Now just solve for y
y = x/3 + 8/3
Rufina [12.5K]4 years ago
3 0
You need to switch y and x to find the inverse
X=3y-8
Y=x/3+8/3
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What is the length of the hypotenuse of triangle ABC? Round your answer to the nearest tenth. A) 2.5 m B) 4.3 m C) 5.5 m D) 18.2
Natasha2012 [34]
Hypotenuse= \sqrt{1.5^{2}+ 4^{2}  }
=4.27
7 0
3 years ago
The price p of pizza is $7.25 plus $0.70 for each t topping on the pizza write a function rule that represents the situation
IrinaK [193]

The answer is

p=7.25+0.70t

5 0
2 years ago
You want your daily sodium intake to be less than 2300 milligrams. For breakfast, you eat a cereal bar with the nutrition label
ipn [44]

According to the information in the nutritional table, it can be inferred that the amount of milligrams of sodium that we should consume during the rest of the day must be less than 2,175mg,

<h3>How to calculate the amount of sodium we can consume?</h3>

To calculate the amount of sodium that we can consume during the rest of the day after breakfast, we must subtract the value of sodium consumed to the amount of total sodium that we want to ingest as shown below:

  • 2300mg - 125mg = 175mg

According to the above, it can be inferred that after consuming the cereal bar at breakfast, we should consume an amount less than or equal to 2,175mg of sodium in the other meals of the day (lunch, dinner and snacks).

Learn more about sodium in: brainly.com/question/24010534

#SPJ1

8 0
1 year ago
If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that
pogonyaev

Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested

Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)

Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)

\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)

Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250

\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250

5 0
4 years ago
Find the 137th odd number.
KIM [24]

The first odd number is 1. The next is 2 more than the previous one.

It's an arithmetic sequence.

The general term of an arithmetic sequence:

a_n=a_1+(n-1)d

a_n - n-th term

a_1 - first term

d - common difference.

We have

a_1=1,\ d=2,\ n=137

Substitute:

a_{137}=1+(137-1)(2)=1+(136)(2)=1+272=273

<h3>Answer: 137th odd number is equal 273.</h3>
3 0
3 years ago
Read 2 more answers
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