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
Serga [27]
3 years ago
6

What is the vertex of x^2 -10x + 21

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

(5, - 4)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

x² - 10x + 21 ← is in standard form

with a = 1, b = - 10, so

x_{vertex} = - \frac{-10}{2} = 5

Substitute x = 5 into the quadratic for the corresponding value of y

y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4

vertex = (5, - 4)

You might be interested in
State the domain and range for the function. f(x)=3cot(2x)
kozerog [31]
Please see attached image for the answer
Range: all real numbers

7 0
3 years ago
Ln how many ways 5 person sitted in a round table having 8 seats?
kvasek [131]

Answer: First consider the case that ‘just’ 5 persons are seated around a round table.

Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.

Now, one vacant chair is to be inserted among them.

Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.

So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.

Step-by-step explanation:

First consider the case that ‘just’ 5 persons are seated around a round table.

Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.

Now, one vacant chair is to be inserted among them.

Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.

So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.

5 0
3 years ago
math problem At a nba game the ratio of the score of team b was 16.21. of a team a got 80 points. how many points did team b get
blagie [28]

Answer:

105 points.

Step-by-step explanation:

The scores of team A and B is 16 and 21.

if 16 = 80, The ratio of 16 to 21 is 5.

So, that means 16 x 5 is 80.

How many points did team B get?

score x gap between 16 to 21

= 21 x 5 = 105.

the team B got 105 points.

4 0
3 years ago
- x3 + 4x2 – 3x + 12 when x = -2​
dmitriy555 [2]

Answer: 42

Explanation:

Image below

6 0
3 years ago
Read 2 more answers
Use the same coordinate plane to draw the graphs of the functions. Y=kx-2 if k=1, 0.4,-1
mario62 [17]

Graphs can be used to represent functions.

See attachment for the graphs of: <em>y =x - 2, y = 0.4x - 2, y =-x - 2</em>

The function is given as: \mathbf{y = kx - 2}

When k = 1,

We have:

\mathbf{y = 1\times x - 2} ----- substitution property of equations

\mathbf{y = x - 2}

So, the equation is: \mathbf{y = x - 2} when k = 1

When k = 0.4,

We have:

\mathbf{y = 0.4\times x - 2} ----- substitution property of equations

\mathbf{y = 0.4x - 2}

So, the equation is: \mathbf{y = 0.4x - 2} when k = 0.4

When k = -1,

We have:

\mathbf{y = -1\times x - 2} ----- substitution property of equations

\mathbf{y = -x - 2}

So, the equation is: \mathbf{y = -x - 2} when k = -1

See attachment for the graphs of: \mathbf{y = x - 2}, \mathbf{y = 0.4x - 2} and \mathbf{y = -x - 2}

Read more about graphs and functions at:

brainly.com/question/11804653

3 0
2 years ago
Other questions:
  • Pam has monthly mortgage payment of $750. Her annual property taxes are $1200,her PMI is $55/month, and her homeowners insurance
    7·1 answer
  • Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = –3 + (n – 1)(–2.2)
    14·1 answer
  • I’m going to put $100,000 into an investment at the beginning of year 1. At the end of year 2, I am going to add $55,000 more to
    10·1 answer
  • Write the fraction in simplest form. Start Fraction 10 over 22 End Fraction A. two-fifths B. start fraction 5 over 11 end fracti
    6·1 answer
  • Christian wants to make an A in his class. There are 5 exams this year, and he has taken 4 of them. His grades were 84, 88, 95,
    12·1 answer
  • I need help with Algebra. is this a good site?​
    12·1 answer
  • What is the difference between 403,951 and 135,211
    11·1 answer
  • The Space Club is having some
    15·1 answer
  • What slope would a line have to be perpendicular to a line with a slope of 1/4 ?
    15·2 answers
  • (1+-1)8+7(1+-1) I can’t find answer to this one it was on my map test
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!