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
Aleks04 [339]
3 years ago
8

Find the equation of the line passing through the points (3,-2) and (4, 6). y = 8x + [?]

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Step-by-step explanation:

1.) Plug in one of the points.

y = 8x + b

6 = 8(4) + b

2.) Solve for b (or [?])

6 = 32 + b \\  - 32 \:   \:  \:  \:  \:  \:  \:  \:  \:  - 32

32 cancels out on the right side.

Subtract 32 from 6, which is -26

3.) -26 = b

4.) Check with other point:

-2 = 8(3) + b

-2 = 24 + b

Cancel out 24 on the right side: 24-24 = 0

-2 - 24 = -26

-26 = b

You might be interested in
What is the location of point A?
AlladinOne [14]

Answer:

C.-1.6

Step-by-step explanation:

distance: -1 - (-2) = 1

1 ÷ 5 = 1/5

-1 - 1/5 × 3 = -1 3/5 = -1.6

3 0
3 years ago
The mean for a set of 5 numbers is 24. Four of the numbers 18,30,24, and 27. What is the fifth number?
ioda

Answer:

21 it is the fifth number

5 0
3 years ago
Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.
adoni [48]

again, let's assume daily compounding means 365 days per year.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}

A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}

what's their difference?  well

\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}

7 0
2 years ago
The lines below are parallel. If the slope of the green line is -3, what is the
julia-pushkina [17]

Answer:-3

Step-by-step explanation:

The expression is already in decimal form.

−3 slope

8 0
3 years ago
Fred is 4 times as old as Nathan and is also 27 years older than Nathan. Let f be Fred's age and let n be Nathan's age.
bazaltina [42]

Answer:

The system of equations is

 and  

Fred's age is 36 years old and Nathan's age is 9 years old

Step-by-step explanation:

Let

f -----> Fred's age

n ----> Nathan's age

we know that

-----> equation A

----> equation B

equate the equations and solve for n

Find the value of f

therefore

Fred's age is 36 years old and Nathan's age is 9 years old

6 0
3 years ago
Read 2 more answers
Other questions:
  • Need help on this ASAPPPPP
    10·2 answers
  • If the frequency of two alleles in a gene pool is 90%A and 10% a, what is the frequency of individuals in the population with th
    8·1 answer
  • If one jar of peanut butter weights 1.6 pounds, how much does 5 jars of peanut butter weight?
    5·2 answers
  • Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?
    12·2 answers
  • Answer the question in detail !!!​
    14·1 answer
  • PLEASE HELP ASAP!
    7·1 answer
  • Can u help me plz now
    13·1 answer
  • Word problem with multiplication and
    10·1 answer
  • Please I need help 15 points
    14·2 answers
  • A car travels a distance of D km at 80 km/h and arrives 20 min late. If the car travels at
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!