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
Allisa [31]
2 years ago
15

The model represents x2 – 9x + 14.

Mathematics
2 answers:
Stels [109]2 years ago
6 0

Factorize the quadratic trinomial x^2 - 9x + 14 by the rule:

ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }

1. Find the roots:

D=(-9)^2-4\cdot 14=81-56=25,\ \sqrt{D}=5,\\ \\ x_1=\dfrac{9-5}{2}=2,\ x_2=\dfrac{9+5}{2}=7.

2. Factorize the polynomial:

x^2 - 9x + 14=(x-2)(x-7).

3. Only factor x-2 is given in options, then the correct choice is B.

mario62 [17]2 years ago
4 0
The factored form of x2 - 9x +14 
(x-2)*(x-7) 
so the answer is B.(x-2)
You might be interested in
Help pls, will mark brainliest
BaLLatris [955]

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be {\sf T_n} is given by ;

  • {\boxed{\bf T_{n}=T_{1}+(n-1)d}}

Where , <u>d</u> is the common difference

Now , here we are given with ;

{\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

{: \implies \quad \sf T_{1}+(5-1)d=T_{5}}

Putting the values and transposing 1st term to RHS , we have ;

{: \implies \quad \sf 4d = -4-8}

{: \implies \quad \sf d=-\dfrac{12}{4}}

{: \implies \quad \sf d=-3}

Now , as we got the common difference , so we can find out the missing terms now ;

{: \implies \quad \sf T_{2}= T_{1}+(2-1)d}

{: \implies \quad \sf T_{2}= 8 +d}

{: \implies \quad \sf T_{2}= 8-3}

{: \implies \quad \bf \therefore \:  T_{2}= 5}

Now

{: \implies \quad \sf T_{3}= T_{1}+(3-1)d}

{: \implies \quad \sf T_{3}= 8 +2d}

{: \implies \quad \sf T_{3}= 8-6}

{: \implies \quad \bf \therefore \:  T_{3}= 2}

Also ,

{: \implies \quad \sf T_{4}= T_{1}+(4-1)d}

{: \implies \quad \sf T_{4}= 8 +3d}

{: \implies \quad \sf T_{4}= 8-9}

{: \implies \quad \bf \therefore \:  T_{4}= -1}

Now , The given table can be written as ;

{\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}

Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;

brainly.com/question/26750175

8 0
2 years ago
Lines c and d are perpendicular. if the slope of line c is -4, what is the slope of line d?
torisob [31]
The slope of line d is 1/4.
8 0
2 years ago
The areas of 10 cities are given in the table.
Masteriza [31]
The range for the cities in the south is 145 larger than the range for the cities in the north.

We find the range by subtracting the highest and lowest values; in the North, we have:
305 - 58 = 247

In the South, we have:
503 - 111 = 392

The difference in the ranges is 392 - 247 = 145.
5 0
3 years ago
Read 2 more answers
Find the x - and y -intercepts of the following equation. <br>2 x + 3 y = − 24
sattari [20]

Answer:

(2,3)

Step-by-step explanation:

8 0
3 years ago
1.4 – 5.5 – 1.73 + 1.8 – 1.09<br><br> –5.12<br> –8.72<br> 5.12<br> –1.66
Novay_Z [31]
<span>We'll do two by two,
1.4 – 5.5= -4.1
</span><span>– 1.73 + 1.8= 0.07
Leaving </span><span>– 1.09,

You get </span> 
=-4.1+<span> 0.07- 1.09
=-4.03-1.09
=-5.12</span>
7 0
2 years ago
Other questions:
  • The width of a rectangle, in feet, is represented by (3x-1.5). The length of the rectangle, in feet, is represented by (1.25x+3)
    12·1 answer
  • Everett made 3/5 of the basket he shot supposed he shot 60 baskets how many did he make
    8·2 answers
  • What is the height of this triangle between C and D
    14·1 answer
  • In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To
    11·1 answer
  • A video game decreased in price from $50 to $45. What was the approximate percent decrease in the price? 0.1% 1% 5% 10%
    12·2 answers
  • What is -282 -20,320 written out
    11·2 answers
  • Which statement best describes the relationship between forces? (2 points)
    14·1 answer
  • 2(x+y) = 61-2y<br> 4x-4 = 18-3y
    12·1 answer
  • Y-3=1/2 (x+4) in standard form
    6·2 answers
  • Evaluate the expression when a=
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!