1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ANEK [815]
3 years ago
10

Let g(x) = 3x + 7 and h(x) = x + 8. (hog)(x)

Mathematics
1 answer:
DiKsa [7]3 years ago
3 0

Step-by-step explanation:

(hog)(x) = h(g(x))

= h(3x + 7)

h(x) = x + 8

h(3x + 7) = 3x + 7 + 8

h(3x + 7) = 3x + 15

(hog)(x) = 3x + 15

You might be interested in
A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 10 characters long, and that eac
Gnoma [55]

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

We know that the password is 10 characters long.

In each one of these, we can put.

One lower case letter (26 of these)

One upper case letter (26 of these)

one numerical digit (10 of these)

So, for every single digit, we have a total of:

26 + 26 + 10 = 62 options

Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

We know that for each character we have 62 different options.

And we have 10 characters.

Then the product between the numbers of options is:

C = 62^10

Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

P = 1/C = 1/(62^10)

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

If you want to read more about probability, you can read:

brainly.com/question/427252

4 0
3 years ago
Someone please solve this. If m(x)= x^3 - 5x + 7 & f(x)= 2x - 3 What does: m(-3) - f(-3)
timofeeve [1]

Answer:

-2

step by step

(-3)^3-5(-3)+7-((2(-3)-3))

-27+15+7-(-6-3)

-27+15+7-(-3)

-27+15+7+3

-27+25

=-2

8 0
3 years ago
How to solve 6x^2+5x-4=0
Vesna [10]
6x^2+5x-4=0\\\\6x^2+8x-3x-4\\\\2x(3x+4)-1(3x+4)=0\\\\(3x+4)(2x-1)=0\iff3x+4=0\ or\ 2x-1=0\\\\3x=-4\ or\ 2x=1\\\\\boxed{x=-\frac{4}{3}\ or\ x=\frac{1}{2}}

6 0
3 years ago
Solve the equation 3= d+2<br> Will give brainliest be quick plz
Basile [38]

Answer:

d=1

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

Substitute \frac{d}{5} + \frac{3}{5} for d in  a(d) = 5d - 3

a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

a(a'(d))  = d + 3 - 3

a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

7 0
2 years ago
Other questions:
  • Look at the figure which step should be taken next to construct a line parallel to AB
    10·2 answers
  • Based on the scatter plot, which equation represents the line best fit for the data about cups of beads?
    12·1 answer
  • Order the polynomial -x4 y2 + 7x3 y3 -3xy5 + 2x2 y4 in descending powers of x answer
    5·1 answer
  • What is the prime factorization for 356
    10·1 answer
  • Select all equations that have the solution x = 7. 3(x - 5) = 1 + 5(x - 6) 2(x + 7) = 28 6(2x - 1) - 12 = -2(x + 10) 60 = 4(x +
    5·1 answer
  • Data yang sesuai dengan diagram dibawah ini adalah ...*
    9·1 answer
  • 17x2 + 7x - 14<br> This algebra 1
    10·1 answer
  • Can somebody help me plleeeaseee
    15·2 answers
  • If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of t
    12·1 answer
  • Prove that, for all positive values of n,
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!