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madreJ [45]
3 years ago
5

Evaluate g(n-7) if g(x) =x^2-5 / 3x

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer:

g(n-7)=\frac{n^2-14n+44}{3n-21}

Step-by-step explanation:

The given function is

g(x)=\frac{x^2-5}{3x}

To find g(n-7), we substitute x=n-7 to obtain;

g(n-7)=\frac{(n-7)^2-5}{3(n-7)}

Expand the parenthesis to obtain;

g(n-7)=\frac{n^2-14n+49-5}{3n-21}

Simplify:

g(n-7)=\frac{n^2-14n+44}{3n-21}

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One number is one-fifth of another number. The two numbers total 18. Find the numbers
Masja [62]

Answer:

One number is 17 and the other is 85.

Step-by-step explanation:

Let the numbers be m and n.  Let m = (1/5)n.  Note that m+n = 18.

Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18.  Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85.  m is (1/5) of 85, or m = 17.

8 0
3 years ago
Which expression is equivalent to 6(14)? A. 6(10 + 4) B. 6(10 + 14) C. 6(1 + 40) D. 6(10 + 40)
makvit [3.9K]
A 6(10+4) is correct
5 0
3 years ago
Read 2 more answers
In a​ study, 36​% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop
steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36​% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this​ area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health.

i.e. P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

Formula :P(x=r)=^nC_r p^r q ^ {n-r}

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!}  (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=0.390748

Hence  the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health is 0.3907

5 0
3 years ago
Show your work and solve please!
bixtya [17]

Answer:

y = 3

Step-by-step explanation:

-5y + 8 = -7

subtract 8 from both sides

-5y = -15

now, divide -5 from both sides

y = 3

4 0
2 years ago
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How do you do this and what’s the answer to this I been stuck on this question for litterly 20 mins
Vsevolod [243]

\bf T=2\pi \sqrt{\cfrac{L}{g}}\implies \stackrel{\textit{squaring both sides}}{(T)^2=\left( 2\pi \sqrt{\cfrac{L}{g}}\ \right)^2}\implies T^2=2^2\pi^2\sqrt{\left( \cfrac{L}{g} \right)^2} \\\\\\ T^2=4\pi^2\cfrac{L}{g}\implies T^2=\cfrac{4\pi^2L}{g}\implies gT^2=4\pi^2L\implies g=\cfrac{4\pi^2L}{T^2}

6 0
3 years ago
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