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3 years ago

14

Let f(x)=3x .

2 answers:

kobusy [5.1K]3 years ago

8 0

You are multiplying the 3x by 6
the last choice is correct

jeyben [28]3 years ago

4 0

Answer: Option D g(x)= 6.3x

Explanation:

It is given that function has a vertical stretch of factor 6 so, we will multiply the factor with value of function.

If compression would have given we will divide the value of function by given factor

Option A: when we will multiply 6 with 3x it will not give 36x

Option B and C are totally irrelevant

Hence, Option A,B and C are discarded

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If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy

Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

$log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved$

7 0

2 years ago

Read 2 more answers

Consider the following.

saul85 [17]

Answer:

Step-by-step explanation:

jack is correct

3 0

3 years ago

A<br> 1200<br> b<br> 3200<br> c<br> 3680<br> d<br> 5520

anygoal [31]

Answer:

c. 3680

Step-by-step explanation:

In 2010, the population was 8000.

In 2014, it increased by 15%.

Population in 2014 :

= 8000 + 15/100×8000

= 8000 + 1200

= 9200.

Now, 2/5 of the population was age 12 or under.

= 2/5 × 9200

= 2×1840

= 3680

Answer - c) 3680

3 0

3 years ago

Help me please I need it done

Lynna [10]

Answer:

see explanation

Step-by-step explanation:

A

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = 3.14 × 8 ≈ 25.12 in

B

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 94.2 , then

2πr = 94.2 ( divide both sides by 2π )

r = $\frac{94.2}{2(3.14)}$ = 15 cm

4 0

2 years ago

If a coin is flipped 75 times, in how many ways could there be exactly two tails?

Dimas [21]

Answer:

2775 ways

Step-by-step explanation:

We have been given the case to choose exactly two tails when flipped 75 times means $^{75}C_2$

Since, $^nC_r$ is equal to $\frac{n!}{r!\cdot(n-r)!}$

Here n =75, r=2 substituting the values we will get

$\frac{75!}{2!(75-2)!}$

$n!=n\cdot (n-1)\cdot (n-2).....1$

After simplification we will get $\frac{75\cdot 74\cdot 73!}{2!\cdot73!}$

Cancel out the common term that is 73! we will get

after more simplification we will get $\frac{75\cdot 74\cdot}{2!}$

Finally, we will get $\frac{75\cdot 74\cdot}{2}=75\cdot37=2775$

4 0

3 years ago

Read 2 more answers