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
Anna35 [415]
3 years ago
15

Rewrite the function by completing the square F(x)=2x^2+13x+20

Mathematics
2 answers:
Ymorist [56]3 years ago
7 0

Answer:

the correct answer is: f(x)=2(x+13/4)²+-9/8. i hope it help

k0ka [10]3 years ago
3 0

Answer:

F(x)=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.

Step-by-step explanation:

Consider the function F(x)=2x^2+13x+20.

Rewrite it as follows:

F(x)=(2x^2+13x)+20=2\left(x^2+\dfrac{13}{2}x\right)+20=2\left(x^2+\dfrac{13}{2}x+\left(\dfrac{13}{4}\right)^2-\left(\dfrac{13}{4}\right)^2\right)+20=2\left(x^2+\dfrac{13}{2}x+\dfrac{169}{16}\right)-2\cdot \dfrac{169}{16}+20.

Since

x^2+\dfrac{13}{2}x+\dfrac{169}{16}=\left(x+\dfrac{13}{4}\right)^2,

you get

F(x)=2\left(x+\dfrac{13}{4}\right)^2+20-\dfrac{169}{8}=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.

You might be interested in
Choose the best answer that represents the property used to rewrite the expression.
balandron [24]

Answer:

The Quotient Property.

Step-by-step explanation:

Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.

You aren't multiplying anything, so you wouldn't use the Product Property.

You are not messing around with powers, so you wouldn't use the Power Property.

And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.

Hope this helps!

7 0
4 years ago
The volume of the rectangular prism is _____ cubic units​
Ipatiy [6.2K]

Answer:

V=L*W*H

V=12*4*3

V=144

144 is your answer :)

Step-by-step explanation:

hope this helps

8 0
3 years ago
What is the simplified expression for 3a^2+9ab+5-4a^2-4ab +3?
seraphim [82]

Answer:

-4a^2+4ab+8

Step-by-step explanation:

our expression is

3a^2+9ab+5-4a^2-4ab+3

we are asked to simplify the expression

in order to that we first bring the like terms together

like terms are those having the same variable or same combination of variables with exactly same degrees

Hence it would be like

3a^2-4a^2+9ab-4ab+5+3

now we simplify the like terms

3a^2-4a^2=-4a^2

9ab-4ab=4ab

5+3=8

Hence

3a^2-4a^2+9ab-4ab+5+3=-4a^2+4ab+8

4 0
4 years ago
Read 2 more answers
(I really need help with this, serious answers only please!)
lesantik [10]
Part A: The answer is PR = 15.23 by Pythagorean Theorem.
The pythagorean theorem is a^2 + b^2 = c^2.
Plug in 14 for a and 6 for b to find c.

Part B: The answer is QR = 7.75. 
Using the same theorem, plug 16 in for c, 14 in for a, and then you can find b.
6 0
3 years ago
Determine the central angle of a sector which has a radius of 8 inches and an area of 78.2 square inches
ioda

Answer: 140

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Consider the graph of the line of best fit, y = 0.5x + 1, and the given data points. A graph shows the horizontal axis numbered
    5·2 answers
  • A remote control car races straight down the street at 26 miles per hour. Two
    13·1 answer
  • An ad during a radio program is $125 per day. What would it cost an advertiser for one ad daily during the month of December?
    5·1 answer
  • What is the minimum possible value of this decimal? Use words, pictures, or numbers to explain your reasoning.
    9·1 answer
  • Paula's pies is famous for their apple pie at Thanksgiving they recieve orders for 296 pies if paula can prepare 8 pies in 3 hou
    8·1 answer
  • The cycling team is ranked by the total time it takes its team members to
    14·1 answer
  • 7. Find the slope. Make sure to reduce.
    8·2 answers
  • For A = {6, 10, 14) and B=(3,5,7) find the<br> relation y = 1/2 x in AxB
    7·1 answer
  • Need help! please be quick, love you
    15·1 answer
  • Evaluate this expression -31|xy| if x=-4 and y=-9​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!