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Pavlova-9 [17]
3 years ago
12

Suppose a-b=0a−b=0a, minus, b, equals, 0 and a,b\ne0a,b≠0a, comma, b, does not equal, 0. which one of these expressions equals \

dfrac{b}{a} a b ​ start fraction, b, divided by, a, end fraction ?
Mathematics
2 answers:
Mice21 [21]3 years ago
8 0

Answer:

it is given that

a-b=0

Adding , b to both sides

→a-b+b=0+b

→a=b

Dividing both sides by , b we get

\frac{b}{a}=\frac{b}{b}\\\\ \frac{b}{a}=1

So,Among the expression given above, which is equivalent to \frac{b}{a}

Option 1: a-b=0

frozen [14]3 years ago
6 0

the answer is \frac{a}{b}

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Find two positive numbers whose product is 81 and whose sum is a minimum.
hammer [34]
Ab=81, a=81/b

s=a+b using a from above in this we get:

s(b)=81/b +b

s(b)=(81+b^2)/b

ds/db=(2b*b-81-b^2)/b^2

ds/db=(2b^2-81-b^2)/b^2

ds/db=(b^2-81)/b^2

d2s/db2=(2b^3-2b^3+81)/b^4

d2s/db2=81/b^4 since b is positive we know that the acceleration is positive so that when ds/db=0 it is a minimum for s(b)

ds/db=0 only when b^2-81=0, b^2=81, b=9

The two positive numbers are 9 and 9.


3 0
3 years ago
Data was collected on reaction time of both hands for an experiment. 14 out of 27 students had a faster reaction time with their
VladimirAG [237]

Answer:

0.3902

Step-by-step explanation:

The question meets the criteria for the calculation of the confidence interval of a one sample proportion ;

Sample size, n = 27

Number of students with faster reaction time = 14

Phat = x / n = 14 / 27 = 0.6296

The confidence interval is calculated thus :

C. I = Phat ± Zcritical * √[p(1 - p)/n]

Zcritical at 99% = 2.576

C. I = 0.6296 ± 2.576 * √[0.6296(0.3704)/27]

C.I = 0.6296 ± 0.2394042

The lower boundary of C.I = 0.6296 - 0.2394042

Lower boundary = 0.3902

8 0
3 years ago
2. Simplify <br><br> A. <br> B. <br> C. <br> D.
Delicious77 [7]

Answer:

C is the correct answer.

Step-by-step explanation:


7 0
3 years ago
Solve this quadratic equation<br><img src="https://tex.z-dn.net/?f=3a%20%7B%7D%5E%7B2%7D%20-%204%20%2B%201" id="TexFormula1" tit
ivann1987 [24]

Answer:

1 and 1/3

Step-by-step explanation:

3a² -4a +1 = 0

3a²- 3a - a+ 1= 0

3a(a-1) - (a-1)= 0

(a-1)(3a -1)= 0

a-1= 0 ⇒ a= 1

3a - 1= 0 ⇒ 3a= 1 ⇒ a= 1/3

5 0
3 years ago
Please helpppppppppppppp
Makovka662 [10]
Hello,

Answer:

1) given equation
2) distributive property
3) combing like terms
4)addition or subtraction property of equality
5) multiplication or division property of equality

Explanation:

Hope this helps!
6 0
3 years ago
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