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
galben [10]
3 years ago
9

Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

The minimum value = -38

Step-by-step explanation:

∵ f(x) = x² - 12x - 2

∵ -12x ÷ 2 = -6x ⇒ -6 × x

∴ (x - 6)² = x² - 12x + 36

∴ Add and subtract 36 in f(x)

∴ f(x) = (x² - 12x + 36) - 36 - 2

∴ f(x) = (x - 6)² - 38 ⇒ completing square

∴ The vertex of the parabola is (6 , -38)

∵ Its minimum point because the coefficient of x² is positive

∴ The minimum value = -38

You might be interested in
What is the volume of the cone? Use π ≈ 3.14.
BARSIC [14]

Answer:

12.56 cubic units on edge

Step-by-step explanation:

6 0
3 years ago
Can someone help I’m not good with word problems
pickupchik [31]

Answer:

I agree that this question can be confusing:

Apparently point A and point B must be on the same straight line (measured from the light house or the question would be nonsensical)

tan 13 = H / DA      where H is height of lighthouse

tan 8 = H / DB       tangent measured from point B

tan 13 / tan 8 = DB / DA

DB = .2309 / .1405 * 1279 = 2101 ft

DB - DA = 2101 - 1279 = 822.0 ft

3 0
2 years ago
Match each equation with a value of x that satisfies it
Alexus [3.1K]

Answer:

(x-2)^1/4=2 ---> 18

√x^2+7=4. ---> -3

^3√1-x=-1. ---> 2

Step-by-step explanation:

just did it on plato

5 0
2 years ago
Pls solve I need it solved rn show work urgent PLS*****
omeli [17]

Answer:

16. y=-5x-20; 17. y=6x+18, or factored y=6(x+3)

Step-by-step explanation:

Your slope is -5

y=-5x+b, solve for b by pluging the point (-3,-5) in for x and y

-5=-5(-3)+b, solve for b

-20=b, now rewrite the equation

y=-5x-20

Your slope is 6

y=-5x+b, solve for b by pluging the point (-3,-0) in for x and y

0=6(-3)+b, solve for b

18=b, now rewrite the equation

y=6x+18, or factored y=6(x+3)

5 0
3 years ago
Explain how to write the number that is 0.02 less than 1.423
Katyanochek1 [597]
Less than means subtract. So, 0.02 less than 1.423 is 1.423 - 0.02 which equals >>> 1.403
6 0
3 years ago
Other questions:
  • how much water could my well hold if the depth of the well is 30ft and the diameter of the well is 24ft
    9·1 answer
  • Algebra 2B lesson 8
    13·1 answer
  • Pink and yellow when mixed up makes which colour
    5·1 answer
  • Which expression is equivalent to log Subscript w Baseline StartFraction (x squared minus 6) Superscript 4 Baseline Over RootInd
    6·2 answers
  • Suppose you can work at most a total of 25 hours per week. Baby-sitting, x, pays $6 per hour and working at the grocery store, y
    12·1 answer
  • Which of the following would most likely increase the greenhouse effect?
    8·2 answers
  • The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditione
    13·1 answer
  • A circle has a radius of 14 units. What is the area in square units of the circle in terms of π?
    14·1 answer
  • 3. A shop sells 600 televisions in a year. If this is a 50% increase on sales the previous year,
    10·1 answer
  • Hey! I am so confused rn. Can you give me some instructions and pointers on how to use this demos graph? (will brainliest and 5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!