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BartSMP [9]
3 years ago
6

Which of the following is the inverse of y = 3 Superscript x?

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

- f−1=log3x. Explanation: y=3x ⇒log3y=log3(3x) (logarithms of both side are equal) ⇒x=log3y ⇒f−1=log3x.Step-by-step explanation:

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How many solutions does the equation 3x + 6 = −1 − 3 + 4x have
VashaNatasha [74]

Answer:

ONE: x = 10

Step-by-step explanation:

3x + 6 = -1 - 3 + 4x

3x + 6 = -4 + 4x       |subtract 6 from both sides

3x = -10 + 4x      |subtract 4x from both sides

-x = -10      |change the signs

x = 10

6 0
3 years ago
Kelly has a pool in her backyard, and she wants to build a fence around the entire area. Kelly's backyard is 14 meters wide and
bulgar [2K]

Answer:

  • $384.54

Step-by-step explanation:

Dimensions of the backyard is 14 m by 15 m

<u>The length of the fence is the perimeter of the backyard.</u>

  • P = 2(l +w)
  • P = 2(15 + 14) = 2(29) = 58 m

One meter of the fence costs $6.63

<u>Cost of the entire fence is:</u>

  • 58*$6.63 = $384.54

6 0
3 years ago
Read 2 more answers
The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro
Misha Larkins [42]

Answer:

8

Step-by-step explanation:

The equation is of the form

y = kx ← k is the constant of proportionality

To find k use the slope formula

k = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 16) ← 2 points on the line

k = \frac{16-0}{2-0} = \frac{16}{2} = 8

4 0
3 years ago
Read 2 more answers
Which is the correct one???
Alik [6]

Answer:

52

Step-by-step explanation:

5x-22+4x+4 = 90

9x-18=90

9x=108

x=12

4*12+4

52

6 0
3 years ago
Read 2 more answers
There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are the
Shtirlitz [24]

Answer:

(a) How many are there to select 2 pairs of gloves?

10 ways

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

130 ways

Step-by-step explanation:

We solve the above questions using Combination

Combination = C(n, r) = nCr

= n!/n! ×(n - r)!

(a) How many are there to select 2 pairs of gloves?

We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2

= 5!/2! × (5 - 2)!

= 5!/2! × 3!

= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!

= 10 ways.

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

We are told to select 4 gloves out of the 10 gloves = 10C4

We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴

= 80

Hence,

10C4 - 5C4

= [10!/4! × (10 - 4)!] - 80

= 210 - 80

= 130 ways

3 0
3 years ago
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