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
lisabon 2012 [21]
2 years ago
6

What is the vertex f(x)= 5x^2+20x-16

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0
F(x) = 5x² + 20x - 16

y = 5(x² + 4x) - 16
y + 16 = 5(x² + 4x + __)

perfect square:
x² ⇒ x * x
4x ⇒ 2*2x
2² = 4

y + 16 + 4 = 5(x² + 4x + 4)
y + 20  = 5(x+2)²

(x+2)² ⇒ (x+2)(x+2) = x(x+2) + 2(x+2) = x² + 2x + 2x + 4 = x² + 4x + 4

y = 5(x+2)² - 20
You might be interested in
PLEASE ANSWER ASAP<br> expand and simplify the following:<br> a) (√6+√3)(√6-√3) b)(√5-√2)(√2+√5)
denis-greek [22]

Answer:

{ \bf{a).}} \\ { \tt{( \sqrt{6}  +  \sqrt{3} )( \sqrt{6}  -  \sqrt{3}) }} \\ { \tt{ = ( { \sqrt{6} )}^{2}  -  {( \sqrt{3}) }^{2} }} \\ { \tt{ = 6 - 3}} \\ { \tt{ = 3}} \\  \\ { \bf{b).}} \\ { \tt{( \sqrt{5}  -  \sqrt{2})( \sqrt{2}   +  \sqrt{5} )}} \\ { \tt{ = ( { \sqrt{5} }^{2}) -  { (\sqrt{2} }^{2})  }} \\ { \tt{ = 5 - 2}} \\ { \tt{ = 3}}

5 0
2 years ago
Read 2 more answers
Find the area of the following figures: ​
allsm [11]

Answer:

Area = 156 square cm

Step-by-step explanation:

4 0
2 years ago
There are 7 red, 6 yellow, 7 green, and 2 black marbles in a bag. What is the probability that Javon randomly selects a yellow m
DaniilM [7]

Answer:   9 :13

Step-by-step explanation:  SO there are 9 other marbles that are not  yellow and green and the probability that Javon randomly picks out yellow and green is 13.

6 0
3 years ago
Read 2 more answers
Find the value of x. 10_3 
Lisa [10]
67^o;\ 90^o\ and\ x^o\\angles\ on\ one\ side\ of\ a\ straight\ line\\will\ always\ add\ to\ 180^o.\\\\67^o+90^o+x^o=180^o\\157^o+x^o=180^o\ \ \ \ |subtract\ 157^o\ from\ both\ sides\\\boxed{x^o=23^o}
3 0
3 years ago
In △BFD, m∠B = 34 ° and m∠FDC = 76°. What is m∠F and m∠FDB?
Paul [167]

Answer:

f=42

fdb=104

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • For this problem, you will want to guess and check until you find the right solution. How many years does it take for $100 to re
    7·2 answers
  • Which statement about perfect cubes is true
    6·1 answer
  • Solve x^3=27?
    11·2 answers
  • Help me find this answer for surds√12×√8
    5·2 answers
  • Given that 5 x : 8 = 7 : 2 Calculate the value of x .
    15·1 answer
  • True/ False: a sample of 100 fuses from a very large shipment is found to have 10 that are defective. The 95% confidence interva
    7·1 answer
  • Given that f(x)=<br> ) - **4. (1+0), solve f(x)=3.<br> What is f how much does it equal
    12·1 answer
  • The following figure shows AABC with side lengths to the nearest tenth.
    9·1 answer
  • In a video game, players form teams and work together to earn as many points as possible for their team.
    14·1 answer
  • What is the measure of the space occupied by a solid. (Measured in cubic units)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!