answer.
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
ANTONII [103]
2 years ago
10

Given ​ f(x)=x^2+12x+26 ​.

Mathematics
1 answer:
lapo4ka [179]2 years ago
6 0

f(x)=x^2+12x+26

Vertex form of f(x) = a(x-h)^2 +k

We change f(x) into vertex form using completing the square method

f(x)=x^2+12x+26

We take half of square of middle term

middle term is 12

Half of square of 12 is \frac{12}{2}=6 then 6^2 = 36

Add and subtract 36 to complete the square

f(x)=(x^2+12x+36)+26-36

f(x)= (x+6)^2 +26 - 36 f(x)= (x+6)^2 -10

The vertex form f(x)= (x+6)^2 -10

You might be interested in
In a certain region, the number of highway accidents increased by 20% over the four years period. How many accidents were there
erma4kov [3.2K]

Equation:

a  =    5120  

r     =     1  +    .2     =     1 . 2

f (n )   =     5120 *  1 . 2^n - 1

N    =          4      years


f ( 4 )  5120 *  1 . 2^4 - 1

5120 *  1 . 2^3

We want to know, The number of Highway Accidents in Four Years.

Answer:    8,847 Highway Accidents total:






Hope that helps!!!!!!!!!!!                                                            : )


7 0
2 years ago
We suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in y
ANTONII [103]

Answer:

D) a chi square test for independence.

Step-by-step explanation:

Given that we  suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in years), so we choose a random sample of drivers who have similar automobile insurance coverage and collect data about their ages and insurance premiums.

We are to check whether two variables insurance premiums and driving experience are associated.

Two categorical variables are compared for different ages and insurance premiums.

Hence a proper test would be

D) a chi square test for independence.

8 0
2 years ago
A factor for (f/g, i, n) could be obtained by multiplying the (p/g, i, n) factor by the _______________ factor.
Ede4ka [16]
Nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
4 0
2 years ago
Read 2 more answers
A set of data has a mean of 56.1. The data follows a normal distribution curve and has a standard deviation of 8.2. Find the pro
Whitepunk [10]
Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
The z-score is given by:
z=(x-μ)/σ
thus the z-score will be given by:
z=(67.5-56.1)/8.2
z=11.4/8.2
z=1.39
thus
P(z=1.39)=0.9177
thus:
P(x>67.5)=1-P(z>0.9177)
=1-0.9177
=0.0823
Answer: A. 0.0823
7 0
2 years ago
Read 2 more answers
In the diagram, P1P2 and Q1Q2are the perpendicular bisectors of AB¯¯¯¯¯ and BC¯¯¯¯¯, respectively. A1A2 and B1B2 are the angle b
4vir4ik [10]
We have to choose the correct answer for the center of the circumscribed circle of a triangle. The center of the circumscribed circle of a triangle is where the perpendicular bisectors of a triangle intersects. In this case P1P2 and Q1Q2 are perpendicular bisectors of sides AB and BC, respectively and they intersect at point P. S is the point where the angle bisectors intersect ( it is the center of the inscribed circle ). Answer: <span>P.</span>
7 0
1 year ago
Other questions:
  • There are 150 kangaroos at a wildlife park there are 66 female what percentage is female
    12·1 answer
  • Which number line represents the following statement?<br><br> A number is more than negative five.
    5·2 answers
  • Solve the system of inequalities: y + 2x &gt; 3 and y 3.5x − 5 The first inequality, y + 2x &gt; 3, is in slope-intercept form.
    11·2 answers
  • The measure of rst can be represented by the expression (6x+12)
    11·2 answers
  • Ellie buys a mobile phone in spain for €352.50. Her brother jack buys an identical phone from japan for ¥39856. Using exchange r
    5·2 answers
  • Factor the following polynomial completely.<br> -x2 y2 + x4 + 4y 2 - 4x2
    15·1 answer
  • The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
    11·1 answer
  • Tori and Gavin were trying to solve the equation: (x+1)^2-3=13(x+1) 2 −3=13left parenthesis, x, plus, 1, right parenthesis, squa
    14·1 answer
  • How can you use the properties of operations to evaluate this expression? 18+4(28)​
    12·2 answers
  • Nswer two questions about Systems A AA and B BB: System A AA start text, end text System B BB { − 3 x + 12 y = 15 7 x − 10 y = −
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!