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
Yakvenalex [24]
3 years ago
10

A) given the function f(x) = −x 2 + 8x + 9, state whether the vertex represents a maximum or minimum point for the function. exp

lain your answer.
b.rewrite f(x) in vertex form by completing the square.
Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0
Since this is a negative parabola, the curve will open downwards like a mountain.  A mountain has a peak or a top, aka a maximum.  Now let's complete the square to see what that vertex is.  Rule is that the leading coefficient has to be a +1.  Ours is a -1.  So we need to factor it out.  First though, set the equation equal to 0 then move the constant away from the x terms to the other side of the equals sign.  -x^2+8x=-9.  Factoring out the -1, -1(x^2-8x)=-9.  Now we are ready to complete the square.  Take half the linear term, square it, and add it in to both sides.  Our linear term is 8.  Half of 8 is 4, and 4 squared is 16.  So we will add 16 into the set of parenthesis, but don't forget that -1 hanging out front there, refusing to be ignored.  It is a multiplier.  Therefore, what we have REALLY added in was (-1)(16) = -16.  That's what gets added onto the right side to keep things in balance.  -1(x^2-8x+16)=-9-16.  We simplify on the right to get -25.  Now on the left we will write the perfect square binomial we created while doing this process:  -1(x-4)^2=-25.  Move the -25 over to the other side by addition and set it back equal to y: -1(x-4)^2+25=y.  We see now that our vertex is (4, 25) and that it is a maximum
You might be interested in
1
spin [16.1K]
Question: 2c - 5 = 9
Answer: c = 7
5 0
3 years ago
over the course of 4 days the price of stock at ACME corporation fell $28. What was the average change in stock price per day?
expeople1 [14]
28/4 = 7...and since the price fell, it would be -7 per day
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to −16y+13 ?
iragen [17]

Answer:

Step-by-step explanation:

13-16y is the same as -16y+13.

7 0
2 years ago
Read 2 more answers
The net below represents a cube. What is the surface area, in square centimeters, of the cube?
devlian [24]
The surface area of that cube is 8.64 cm
6 0
3 years ago
??????????????????????????????
Anna007 [38]

You want to find the time <em>t</em> such that

\$1000 = \$200 e^{0.04t}

Divide both sides by $200 :

\dfrac{\$1000}{\$200} = 5 = e^{0.04t}

Take the logarithm of both sides:

\ln(5) = \ln(e^{0.04t}) = 0.04t\ln(e) = 0.04t

Divide both sides by 0.04 and solve for <em>t</em> :

t = \dfrac{\ln(5)}{0.04} \approx 40.24 \approx \boxed{40}

6 0
3 years ago
Other questions:
  • Please Help!!!
    13·1 answer
  • Please help me thank youu
    15·1 answer
  • Translate the word phrase into variable expression The quotient of a number and 6 is increased by 1
    11·1 answer
  • The number of raffle tickets the student council sold over three days
    8·1 answer
  • Simplify. -2 (3x - 5)<br><br> PLEASE ANSWER ASAP! TYSM IF U DO!
    7·1 answer
  • Hello! Some assistance with this question would be really helpful (:
    13·1 answer
  • Select all equations that have graphs with the same y-intercept.
    10·2 answers
  • Plss answer<br> i will give brainliest
    5·1 answer
  • Original Price of a computer $2,600.00 Tax:6.4%
    15·1 answer
  • Could anyone pls help me with this geometry question? :)<br><br> thank you soo much for the help :)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!