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
Sonbull [250]
3 years ago
11

What is the vertex of the quadratic function f(x)=(x-8)(x-2)?

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)

another way to do it: 
f(x)=x²-10x+16
the vertex is when x=-\frac{b}{2a}, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
You might be interested in
I need help answering this ASAP
Leokris [45]
Answer:

x greater than and equal to -7

Step-by-step explanation:

Parabola touches at -7 and is going straight towards all positive integers

Therefore the domain is all numbers greater than or equal to -7
8 0
3 years ago
A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell
guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

6 0
3 years ago
Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week
EleoNora [17]
B) f(t) = 70 x 1.43^t
5 0
3 years ago
What is the greatest common factor of 15, 75, and 9
Leokris [45]

Answer:

3

Step-by-step explanation:

please mark Brainliest

3 0
3 years ago
I need help with Math please (20 points)
Afina-wow [57]

Answer:

603

Step-by-step explanation:

The rate of change is found by

rate of change = f(b) -f(a)

                           ------------

                            b-a

We need to find the rate of change for the interval 7,9  and 4,6

We know b= 9 and a = 7

f(9) -f(7)

------------

9-7

3878-1852

----------------

9-7

2026

-------

2

1013


We know b= 6 and a = 4

f(6) -f(4)

------------

6-4

1178-358

---------------

6-4

820

------

2

410

It asks how much greater,  that means subtraction

1013-410

603


8 0
3 years ago
Other questions:
  • Mr. Roberts faced west. He walked ten steps forward. Then, without turning, he took five sideways steps to his right. Then, he t
    6·2 answers
  • 8.96 is what percent of 112
    11·2 answers
  • A group of six tourists arrive at an airport gate 15 minutes before flight time, but only two seats are available.
    14·2 answers
  • Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. find the amount
    5·2 answers
  • The graph of a proportional relationship contains the point with coordinates (3 , 12). What is the constant of proportionality o
    7·2 answers
  • 3a²−4a+9=0 Use the discriminant to determine the number of real solutions to the quadratic equation.
    7·1 answer
  • Tommy is drawing a triangle with angles measuring 41° and 123°, and the included side measures 6 cm.
    7·1 answer
  • The last 10 calls to a customer support line had the following lengths (in minutes).
    5·1 answer
  • Multiple answers please help!!
    9·1 answer
  • 7th grade work pls help!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!