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
Alex Ar [27]
2 years ago
6

Equation of the line passing through (7,5) and (1, 2)​

Mathematics
1 answer:
Trava [24]2 years ago
6 0

Answer:

y = \frac{1}{2}x + \frac{3}{2}

Step-by-step explanation:

Assuming this is a linear equation in the form of y = mx + b, we can first solve for the slope using \frac{y_2 - y_1}{x_2 - x_1}, for these points, the slope would be \frac{1}{2}. Now we plug in the points to get the equation:

plugging in (7,5), we get 5 = \frac{1}{2} ×7 + b

and solving for b, we get b = \frac{3}{2}

therefore, the equation of the line passing through (7,5) and (1,2) is y = \frac{1}{2}x + \frac{3}{2}.

hope this helps!

You might be interested in
A sequence is defined by mc024-1.jpg, and mc024-2.jpg. What is the seventh term?
abruzzese [7]
Given data :
a₃ = 9/16
aₓ = -3/4 · aₓ₋₁
Where x is the number of terms ('x' is also written as 'n')
To find the 7th term (a₇):

We know that aₓ = -3/4 · aₓ₋₁
So,
a₃ = -3/4 · a₃₋₁
a₃ = -3/4 · a₂
9/16 = -3/4 · a₂
a₂ = 9/16 × -4/3
a₂ = -36/48
a₂ = -3/4

Again,
aₓ = -3/4 · aₓ₋₁
a₄ = -3/4 · a₄₋₁
a₄ = -3/4 · a₃
a₄ = -3/4 · 9/16
a₄ = -27/64
a₄ = -27/64

For a₅,
aₓ = -3/4 · aₓ₋₁
a₅ = -3/4 · a₅₋₁
a₅ = -3/4 · a₄
a₅ = -3/4 × -27/64
a₅ = 81/256

For a₆,
aₓ = -3/4 · aₓ₋₁
a₆ = -3/4 · a₆₋₁
a₆ = -3/4 · a₅
a₆ = -3/4 × 81/256
a₆ = -243/1024

For a₇,
aₓ = -3/4 · aₓ₋₁
a₇ = -3/4 · a₇₋₁
a₇ = -3/4 · a₆
a₇ = -3/4 × -243/1024
a₇ = 729/4096
3 0
3 years ago
Read 2 more answers
Adult and student tickets to the high school basketball game are sold each week. For every two adult tickets, seven student tick
Gemiola [76]

Answer:

414 tickets!

Step-by-step explanation:

If there were sold 92 adult tickets, and for every two of them, 7 student tickects are sold, we have the following:

92 / 2 = 46

Multiply by 7.

46 * 7 = 322 student tickets.

322 students tickets + 92 adult tickets = 414 tickets in total.

7 0
3 years ago
What is the upper bound of the function f(x)=4x4−2x3+x−5?
inessss [21]

Answer:

(no global maxima found)

Step-by-step explanation:

Find and classify the global extrema of the following function:

f(x) = 4 x^4 - 2 x^3 + x - 5

Hint: | Global extrema of f(x) can occur only at the critical points or the endpoints of the domain.

Find the critical points of f(x):

Compute the critical points of 4 x^4 - 2 x^3 + x - 5

Hint: | To find critical points, find where f'(x) is zero or where f'(x) does not exist. First, find the derivative of 4 x^4 - 2 x^3 + x - 5.

To find all critical points, first compute f'(x):

d/( dx)(4 x^4 - 2 x^3 + x - 5) = 16 x^3 - 6 x^2 + 1:

f'(x) = 16 x^3 - 6 x^2 + 1

Hint: | Find where f'(x) is zero by solving 16 x^3 - 6 x^2 + 1 = 0.

Solving 16 x^3 - 6 x^2 + 1 = 0 yields x≈-0.303504:

x = -0.303504

Hint: | Find where f'(x) = 16 x^3 - 6 x^2 + 1 does not exist.

f'(x) exists everywhere:

16 x^3 - 6 x^2 + 1 exists everywhere

Hint: | Collect results.

The only critical point of 4 x^4 - 2 x^3 + x - 5 is at x = -0.303504:

x = -0.303504

Hint: | Determine the endpoints of the domain of f(x).

The domain of 4 x^4 - 2 x^3 + x - 5 is R:

The endpoints of R are x = -∞ and ∞

Hint: | Evaluate f(x) at the critical points and at the endpoints of the domain, taking limits if necessary.

Evaluate 4 x^4 - 2 x^3 + x - 5 at x = -∞, -0.303504 and ∞:

The open endpoints of the domain are marked in gray

x | f(x)

-∞ | ∞

-0.303504 | -5.21365

∞ | ∞

Hint: | Determine the largest and smallest values that f achieves at these points.

The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:

The open endpoints of the domain are marked in gray

x | f(x) | extrema type

-∞ | ∞ | global max

-0.303504 | -5.21365 | global min

∞ | ∞ | global max

Hint: | Finally, remove the endpoints of the domain where f(x) is not defined.

Remove the points x = -∞ and ∞ from the table

These cannot be global extrema, as the value of f(x) here is never achieved:

x | f(x) | extrema type

-0.303504 | -5.21365 | global min

Hint: | Summarize the results.

f(x) = 4 x^4 - 2 x^3 + x - 5 has one global minimum:

Answer: f(x) has a global minimum at x = -0.303504

5 0
3 years ago
Read 2 more answers
Several students made comments about this image.
yawa3891 [41]

Answer:

The third comment is the true one: "If I know the measures of angles C and B, I can find the measures of A and D."

This is because you can use the angle B to find angle A by subtracting it from 180, and you can find angle D by adding together C and B and subtracting that from 180.

I hope this helps!

Step-by-step explanation:

3 0
2 years ago
In Davidson Corporation, the first shift produced 8½ times as many lightbulbs as the second shift. If the total lightbulbs produ
Diano4ka-milaya [45]

8 1/2=17/2=8.5

24,700 divided by 8.5=2,905,8823

OR

24,700:17/2  =24,700x2/17=2,905,8823

4 0
3 years ago
Other questions:
  • Round the following to the nearest hundredth.<br><br> 0.003:<br> 0.057:<br> 0.095:
    6·1 answer
  • How many sides does a polygon have?
    13·2 answers
  • there are 25 students in Ms.Morris's class.she wants to divide the class into 3,4,5 equal teams with all students on a team . wh
    10·1 answer
  • PLEASE HELP ME PLEASE FOR BRAINLIEST
    6·2 answers
  • How l can write a 3-digit number using digits 2,9,4.
    9·2 answers
  • Question: A man standing in a field in New Hampshire sees Cannon Mountain in front of him. He knows that the height of Cannon Mo
    11·1 answer
  • Can someone please help me, thanks
    12·1 answer
  • Becca earns money mowing her neighbors lawns<br> What is p(x)?
    13·1 answer
  • Two cylinders have radii in the ratio 3:5 and heights in the ratio 10:9. Find the ratio of their volumes.
    11·1 answer
  • Helpppp meee pleaseeeeeeeeee!!!’
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!