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
Aliun [14]
3 years ago
14

Willie changes the quadratic function f(x)=x2?6x+14 to vertex form f(x)=a(x?h)2+k. If Willie does this correctly, what is the va

lue of k?
Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

1(x^{2} ?6x+9)-9+14

Upon completing the square and combining like terms we will get,

1(x?3)^{2} +5

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

You might be interested in
A salesperson at a jewelry store earns 9​% commission each week. Last​ week, Jarrod sold $ 720 worth of jewelry. How much did he
yawa3891 [41]
He made $64.80 commission I think. 9% of $720 is $64.80
6 0
3 years ago
Read 2 more answers
According to the bar graph, which teacher gave 16 minutes of homework on Wednesday?
Natasha_Volkova [10]
Ms.Jones gave sixteen minutes of homework
4 0
3 years ago
Solve 4/9x+7=1/2.<br><br> Solve 1/8x−12=3/4.
Elenna [48]
\# 1 \\\\ \frac{4}{9}x+7=\frac{1}{2} \\\\ \frac{4x}{9}=\frac{1}{2}-7^{(2} \\\\ \frac{4x}{9}=\frac{1-14}{2} \\\\ \frac{4x}{9}=-\frac{13}{2} \\\\ 4x=-\frac{9*13}{2} \\\\ x=-\frac{\frac{9*13}{2}}{4} \\\\ x=-\frac{117}{2}*\frac{1}{4} \\\\ \boxed{x=-\frac{117}{8}=-14\frac{5}{8}}

\#2 \\\\ \frac{1}{8}x-12=\frac{3}{4} \\\\ \frac{1}{8}x=\frac{3}{4}+12^{(4} \\\\ \frac{x}{8}=\frac{3+48}{4} \\\\ \frac{x}{8}=\frac{51}{4} \\\\ x=\frac{\not8*51}{\not4} \\\\ x=2*51 \\\\ \boxed{x=102}
4 0
3 years ago
Read 2 more answers
Find the square of <br> -1/7
Anastasy [175]

Answer:

1/49

Step-by-step explanation:

To square a number, you multiply it by itself so:

-1/7(-1/7)

negative X negative= postitive

so: -1 x -1 = 1

     -7 x -7 = 49

Ans: 1/49

Hope this helps :)

7 0
3 years ago
A heavy metal sphere
GaryK [48]

Answer: the height of the water after the sphere is placed in

it is 33.33 cm

Step-by-step explanation:

The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as

Volume = πr^2h

Where

π is a constant whose value is 3.14

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

r = 10 cm

h = height of water in the cylinder = 20 cm

Volume of water in the cylinder before the sphere was placed in it would be

V = 3.14 × 10^2 × 20 = 6280 cm^3

The formula for determining the volume of the sphere is expressed as

Volume = 4/3 πr^3

V = 4/3 × 3.14 × 10^3 = 4186.67cm^3

Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2

To determine the new height of the water,

10466.67 = 3.14 × 10^2× h

h = 10466.67/314 = 33.33 cm

7 0
3 years ago
Other questions:
  • PLEASE HELP ASAP 30 POINTS.
    14·2 answers
  • What is the slope of (-17,-11), (10,8)
    13·2 answers
  • 100 POINTS! ANSWER QUICK!
    6·1 answer
  • Does anyone know the answer for the question below.
    14·1 answer
  • Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 fo
    15·1 answer
  • Confused from where I left off PLEASE help
    5·2 answers
  • Are these triangles similar?
    12·2 answers
  • Can someone tell me how to find the Radius, Diameter, And Circumference Of a Circle?​
    9·1 answer
  • What is the value of x? ill give brainliest!
    15·2 answers
  • I need help please Asap
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!