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Novay_Z [31]
3 years ago
11

A line includes the point (1,-6) has a slope of -6 what is its equation in slope-intercept form

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Answer:

y= -6x

Step-by-step explanation:

y=mx+b

y= -6x+b            plug in slope (m)

-6= -6*1 +b         plug in x and y

b=0                    solve for b

y= -6x                 plug in everything into the equation

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Francis have 5 more dollars than Julia together they have at most $45 let X represent the amount of money francis has. Which ine
Dmitrij [34]
X=francis  y=julia

the answer is francis has $27.5 and julia has $17.5 you find this by 45 and dividing it by 2 then get on half and add 5 and with the other half subtract five
6 0
3 years ago
Th e library fi ne for an overdue DVD is $2 for the fi rst day plus $0.25 for each additional day. How many days overdue is a DV
Mumz [18]
The DVD is 6 days overdue
6 0
3 years ago
Let f(x) = log(x). Find values of a such that f(kaa) = kf(a).
meriva

Answer:

a = k^{\frac{1}{k-2}}

Step-by-step explanation:

Given:

f(x) = log(x)

and,

f(kaa) = kf(a)

now applying the given function, we get

⇒ log(kaa) = k × log(a)

or

⇒ log(ka²) = k × log(a)

Now, we know the property of the log function that

log(AB) = log(A) + log(B)

and,

log(Aᵇ) = b × log(A)

Thus,

⇒ log(k) + log(a²) = k × log(a)         (using log(AB) = log(A) + log(B) )

or

⇒ log(k) + 2log(a) = k × log(a)            (using log(Aᵇ) = b × log(A) )

or

⇒ k × log(a) - 2log(a) = log(k)

or

⇒ log(a) × (k - 2) = log(k)

or

⇒ log(a) = (k - 2)⁻¹ × log(k)

or

⇒ log(a) = \log(k^{\frac{1}{k-2}})          (using log(Aᵇ) = b × log(A) )

taking anti-log both sides

⇒ a = k^{\frac{1}{k-2}}

3 0
3 years ago
A valid license plate in Xanadu consists of two capital letters followed by three digits. How many valid license plates are poss
tatiyna

The  valid license plates are possible = 676,000 possibilities

<h3>What is permutation and combination?</h3>

In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The subset's components can be arranged in any sequence when used together. The subset's components are given in a permutation in a certain order.

<h3>According to the given information:</h3>

There is no prohibition on using the same letters or numbers more than once, therefore all 26 letters of the alphabet and all 10 numerals are permissible choices.

There are 26 options if the initial answer is A:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

There are 26 options if the initial answer is B:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

So,

The first letter can be one of 26 options, and the second letter can be one of 26 options. There are a variety of 2 letter combinations, including:

26 x 26 = 676

For the three digits, the same holds true.

The first, second, and third options each have ten options available:

10  × 10 × 10 = 1000

Thus, there are several options for a license plate with two letters and three digits:

26 x 26 x 10  × 10 × 10 =  676,000 possibilities.

The  valid license plates are possible = 676,000 possibilities.

To know more about permutation and combination visit:

brainly.com/question/13387529

#SPJ4

8 0
1 year ago
What is twenty percent of two hundred and ten
marishachu [46]
The correct answer is 42
4 0
3 years ago
Read 2 more answers
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