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
suter [353]
3 years ago
14

What is the slope of the line passing through (1, 2) and (3, 8)?

Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0
6,2 which would simplify to 3
Alexeev081 [22]3 years ago
3 0
Slope = Change in y / Change in x

= 8 - 2 / 3 - 1

= 6 / 2

= 3
You might be interested in
PLEASE HELP!!!!<br> I need to solve for a, b, and c
nirvana33 [79]

Answer:

  • 25000 seats in section A
  • 14100 seats in sectin B
  • 10900 seats in section C

Step-by-step explanation:

The problem statement tells you half the total number of seats are in section A, so you already know that there are 25000 A seats. The revenue from those seats is

... 25000×$25 = $625,000

so the revenue from B and C seats must total

... $1,070,500 - 625,000 = $445,500

If all 25000 of the B/C seats were C seats, the revenue would be

... 25000×$15 = $375,000

The actual revenue from those seats is $445,500 -375,000 = $70,500 more than that. We know each B seat generates $5 more revenue, so there must be ...

... $70,500/$5 = 14,100 . . . . B seats

Then the balance of the 25000 B and C seats are C seats:

... 25,000 - 14,100 = 10,900 . . . . C seats

_____

<em>Alternate Solution Method</em>

The new Brainly answer format requires the answer be supplied before the working. In order to find the answer quickly so that I can fill in that section, I used a matrix method for solving the problem. The problem equations can be written ...

  • a + b + c = 50000
  • a - b - c = 0
  • 25a + 20b + 15c = 1070500

so the augmented matrix is ...

\left[\begin{array}{cccc}1&1&1&50000\\1&-1&-1&0\\25&20&15&1070500\end{array}\right]

A graphing calculator can be used to find the solution to this, generally using a function that produces the reduced row-echelon form. The attachment shows the solution using a TI-84 calculator.

___

<em>Comment on the Working</em>

Since the number of A seats is equal to the total of B and C seats, the number of A seats must be half the total number of stadium seats. Having figured that out, the problem is reduced to one of finding the mix of B and C seats that will produce the remaining revenue.

As with many mixture problems, it is convenient to look at differences. Start with the assumption that all of the desired revenue comes from the least contributor. Here, that is C seats. Then figure the difference that using a B seat makes ($20 -15 = $5) and the difference of the actual revenue and the amount that you got by assuming all C seats: 445,500 -375,000 = 70,500. Since replacing a C seat by a B seat adds $5 to the revenue, it is easy to figure the number of such replacements required in order to raise the revenue by $70,500.

If you write the equation for B seats, you find the solution to the equation mirrors this verbal description:

... 20b + 15(25000-b) = 445,500

... 5b = 445,500 - 375000 . . . . simplify, subtract 375000

... b = 70500/5 = 14100

8 0
3 years ago
The product 3 and a number x is 2/3. What is the value of x? A. X=7/3 B. x=2/9 C. x=2 D. X= 2 1/3
BabaBlast [244]

Answer:

the answer is C.

Step-by-step explanation:

3(2/3)

=3×2/3

=2×3/3

=2

7 0
3 years ago
Evaluate a+4 when a =7
LenaWriter [7]

If a = 7 then a+4 = 11.

a+4 is basically 7+4.

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Which function describes the arithmetic sequence shown<br><br> -1, 1, 3, 5, 7, 9, 11, 13, ...
riadik2000 [5.3K]

Answer:

f(n) = 2n - 3 describes the arithmetic sequence,

-1, 1, 3, 5, 7, 9, 11, 13,.......

Step-by-step explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'n' is the independent variable

f(n) is the function dependent variable i.e function of n as an output.

For Arithmetic sequence

a_{n}= a_{1} + (n-1)d

Where

a_{n} = nth number of the sequence.

a₁ = First term

d = common difference = a₂ - a₁ = a₃ - a₂ = so on

For a function which describes Arithmetic sequence,

a₁ = -1

d = 1 - -1 =2

∴ f(n) = a₁ + (n -1 )d

substituting the values we get

∴ f(n) = -1 +(n-1)2

using distributive property

∴ f(n) = - 1 +  2n - 2

∴ f(n) = 2n - 3  ..........is the required function

7 0
2 years ago
The Party Room at Penny's Pizza rents for an initial fee of $30 and then $5 per hour. Aislyn's bill for her Birthday party was $
Annette [7]
Initial fee- $30
$5 per hour
=$50

$5* 4(hours)=$20 
$30+$20=$50

4 0
3 years ago
Read 2 more answers
Other questions:
  • Nicole did an aerobics and a yoga class for a total of 1 hour and 10 minutes. The yoga class was 30 minutes longer than the aero
    8·1 answer
  • What is y=-3/10x-8 written in standard form
    5·2 answers
  • 15 Points! (2 Questions)
    7·1 answer
  • 5.2.AP-3
    15·1 answer
  • 1.3 billion people live on?
    7·2 answers
  • Please answer this asap! Its midnight and I'm tired 40 points
    8·2 answers
  • Find the area please​
    12·1 answer
  • How tall is a building that casts a ​78-ft shadow when the angle of elevation of the sun is 30 degrees​?
    6·1 answer
  • Board sum (-4)+1=x+(-4)
    5·2 answers
  • 39/8 as a decimal... I've forgotten how to turn fractions into decimals ​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!