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
Ann [662]
3 years ago
9

The following graph describes function 1, and the equation below it describes function 2:

Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:

Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1

Therefore, vertex = (4, 1)

Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5

Therefore vertex = (2, 5)

Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.

Step-by-step explanation:

You might be interested in
I have $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly
loris [4]

Answer:

-$1000

Step-by-step explanation:

(3800 - x)*3.5/100 = (3800 + x)*6/100

(3800 - x)7/200 = 3/50(3800 + x)

3800 - x = 12/7(3800 + x)

3800 - x = 45600/7 + 12x/7

(19x + 19000)/7 = 0

19x = -19000

x = -$1000.

The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.

3 0
3 years ago
Write an inequality to describe the possible values of x.
Papessa [141]

Answer:

d

Step-by-step explanation:

x<9+7, and x+7>9

solve

x<16

x>2

2<x<16

6 0
3 years ago
Let alpha and beta be conjugate complex numbers such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}
miskamm [114]

Answer:

-3+i\sqrt{3} , 1+\sqrt{3}

Step-by-step explanation:

Given that alpha and beta be conjugate complex numbers

such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.

Let

\alpha = x+iy\\\beta = x-iy

since they are conjugates

\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}

\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}

Imaginary part of the above =0

i.e. \sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1

So the value of alpha = -3+i\sqrt{3} , 1+\sqrt{3}

3 0
3 years ago
Can you help with number 18 please?
motikmotik

16.1 - 0.25 = 15.85
6 0
3 years ago
The length of the base of the triangle is 78 mm and the height is 55 mm. Find the area.
leva [86]

Answer: 2145 ²

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Do all your work!!!!!!Please
    6·1 answer
  • 3 4 ( 1 6 x+16)= 3 7 (4 3 8 x−21)
    15·2 answers
  • HELP!!! WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!!!!!
    15·1 answer
  • The mobile company charges $180 for an hour of service. How many dollars are customers charged every minute?
    12·2 answers
  • Help plz <br> How do you solve
    14·1 answer
  • What's the Side number Bottom number​
    13·2 answers
  • NEED HELP ASAP, QUICK I NEED THE AREA PLZ!!!
    9·1 answer
  • answer asap!!!! How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk w
    7·2 answers
  • Write the equation of the line that passes through the points (-2,0) and (1,2).
    14·1 answer
  • The swimming pool is open when the high temperature is higher than 20°C. Lainey tried to swim on
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!