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zimovet [89]
3 years ago
13

Can someone help me with this?

Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Good evening ,

Answer:

{(1,6),(2,2),(4,7),(3,2)}

Step-by-step explanation:

As a function , f has a unique image for each number of the domain.

for instance, the first set can’t represent a function because 1 has more than one image(number).

:)

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Given logx 2=p and logx 7=q , express log7 4x³ in terms of p and q.​
Ksju [112]

Answer: (2*p + 3)/q

Step-by-step explanation:

First, let's remember the relationships:

Logₙ(a) = Ln(a)/Ln(n)

Ln(A*B) = Ln(A) + Ln(B)

Ln(a^n) = n*Ln(a)

Now, we know that:

Logₓ(2) = p

Logₓ(7) = q

We want to express:

Log₇(4*x^3) in terms of p and q.

First, we can rewrite the first two relations as:

Ln(2)/Ln(x) = p

Ln(7)/ln(x) = q

then we have:

Ln(2) = p*Ln(x)

Ln(7) = q*Ln(x)

Ok:

Now let's play with our equation:

Log₇(4*x^3)

First, this is equal to:

Ln(4*x^3)/Ln(7)

We now can rewrite this as:

(Ln(4) + Ln(x^3))/Ln(7)

= (Ln(2^2) + Ln(x^3))/Ln(7)

= (2*Ln(2) + 3*Ln(x))/Ln(7)

Now we can replace Ln(2) by p*Ln(x) and Ln(7) by q*Ln(x)

(2*p*Ln(x) + 3*Ln(x))/(q*Ln(x)) = (2*p + 3)/q

This is the expression we wanted.

8 0
3 years ago
A square playground has an area of 900 ft.what is the length of each side of the playground
Bezzdna [24]

Answer:

the answer is 225 square feet

Step-by-step explanation:

900÷4=225

6 0
3 years ago
Read 2 more answers
A number cube with faces labeled 1 through 6 is rolled 200 times. About how many times would you expect to roll an even number?
Sergio039 [100]

Answer:

The theoretical probability is smaller than the relative frequency

Step-by-step explanation:

6-sided cube rolled 200 times

Probability of an even number is 1/2= 0.5

200*1/2= 100- theoretical probability

Experimental frequency= 115

Relative frequency= 115/200= 0.575

0.575 > 0.5

The theoretical probability is smaller than the relative frequency

7 0
3 years ago
Which polynomial lists the powers in descending order?
lesantik [10]

Answer:

D i believe

Step-by-step explanation: hoped this helps

8 0
2 years ago
It is almost the end of the grading period.I have 730 out of 880 points so far in my math class which means I currently have a B
Murljashka [212]
There is at least 90
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