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
professor190 [17]
3 years ago
11

Plz help :)))))))))))))))))))

Mathematics
1 answer:
natita [175]3 years ago
8 0
(2 - 7z)(2 + 7z)
= (2)^2 - (7z)^2
= 4 - 49z^2

You might be interested in
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
3 years ago
HELP!!
leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

 symmetry is parallel to the x-axis, it has an equation of

 (y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x  

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵  (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out  

  the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

   (x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

6 0
3 years ago
Cylinder height of 7 and a radius of 4 cm. How many cubic centimeters of fluid can fill this cylinder
Alex Ar [27]

Answer:

112π = 351.86 cubic centimeters of fluid to fill the cylinder

Step-by-step explanation:

The volume of cylinder = πr²h⇒ r its radius , h its height

V = π(4)²(7) = 112π = 351.86 cm³

4 0
3 years ago
Find the largest odd number that divides the product of 16*24*60 evenly
melisa1 [442]
Odd = odd × odd

Prime factor
<span>16*24*60
(4*4)(3*8)(6*10)
(2*2*2*2)(3*2*2*2)(3*2*5*2)

multiple all the odd prime factors together
3*3*5 = 45
</span>
6 0
3 years ago
A large bathtub contains 425 gallons of water. after 5 minutes of draining, it has lost 32% its volume of water.
SOVA2 [1]

Answer:

84.93

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • P=-40q+163, what is the relationship between p and q?
    13·1 answer
  • Real life application of ratio and proportion???
    15·1 answer
  • Please help me idk this
    15·1 answer
  • 1. Find the circumference radius of 14 a. Give an exact answer in terms of . (1 point) b. Use ≈ 22/7 and express your answer as
    10·1 answer
  • Help with number 3 please. Thanks
    5·1 answer
  • Wich is the correct fraction representation of books to pens?<br><br> -6/5<br><br> -5/6<br><br> -6/6
    11·1 answer
  • Hey, can someone help me with this, please?
    10·1 answer
  • Please help out , i’ll mark the brainliest answer
    13·2 answers
  • Three investors own a company. One partner owns One-fourthof the company, while the second partner owns Two-fifths of the compan
    12·1 answer
  • Which two numbers have a sum of 11 and product of 28?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!