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
Vlada [557]
2 years ago
12

Solve for x . 2x² - 17x+31 = (x - 5)²

Mathematics
1 answer:
Romashka [77]2 years ago
6 0

Answer:

x = 1 , x = 6

Step-by-step explanation:

2x² - 17x + 31 = (x - 5)² ← expand using FOIL

2x² - 17x + 31 = x² - 10x + 25 ( subtract x² - 10x + 25 from both sides )

x² - 7x +  6 = 0 ← in standard form

(x - 1)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 6 = 0 ⇒ x = 6

You might be interested in
What does the expression 5-n mean
Novay_Z [31]

Answer:

It just means "5-n"

Step-by-step explanation:

There's really nothing to it. It's just an expression, it doesn't 'mean' anything.

4 0
3 years ago
What is the axis of symmetry for f(x) = -3x^2+12x-6
il63 [147K]
-3x^2 + 12x -6
a = -3
b = 12
We calculate the vertex "x" value with this formula:
(vertex "x value")  = -b / (2*a)
(vertex "x value")  = -12 / -6
The vertex "x" value equals the axis of symmetry value.
The axis of symmetry is at x = 2.

Source:
http://www.1728.org/quadr3.htm


6 0
3 years ago
Rachel is getting a sundae where the cost is proportional to the weight of the sundae she makes. last time rachel went she bough
Ivan

Using proportions, the cost of the 17-ounce sundae is of $5.95.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Considering the 12-ounce sundae bought for $4.2, the cost per ounce is given by the following proportion:

$4.2/12 = $0.35.

Hence the cost of a 17-ounce sundae is:

$0.35 x 17 = $5.95.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
Zoom in to see the question plzzz help!!!
kondor19780726 [428]

Answer:

\huge\boxed{\boxed{IV}}

Step-by-step explanation:

Given:

x>0

Which means

x is any number greater than 0 ig 1,2,3,4,5,7,9.......

y<0

Which means

y Is any number smaller than 0

ig -1,-2,-3,-4,-5.........

So according to the question

The coordinates are

(x,-y)

Therefore,

The points are located to Quadrant IV

6 0
3 years ago
One positive number is one-fifth of another number. The difference between the two numbers is 260, find the numbers.
Tasya [4]

Answer:

x = 325 and y = 65

Step-by-step explanation:

Let the numbers be x and y.

y = \frac{1}{5} x

x - y = 260

Now substituting value of y in the second equation

x - \frac{1}{5} x = 260\\

4x = 1300

x = 325

y = 65

5 0
3 years ago
Other questions:
  • Please help me with this question!!!!!! PLEASE.
    5·2 answers
  • I'm having a hard time finding the answer
    11·1 answer
  • Determine the parent function.
    12·1 answer
  • Someone plz help!! Also plz explain how you got that answer so I can do the rest!
    8·1 answer
  • I need help with 5&amp;8!plzzzz
    7·1 answer
  • Whats the product of 6 and<br><br> q
    5·2 answers
  • n a certain exam of grade ten, 75% students got high score in mathematics, 65%students got high score in English. If 6% of them
    12·1 answer
  • Question: Find m HK...
    13·1 answer
  • Hii i really need help!!
    7·2 answers
  • How do i do 5√2 x 3√2? Please show a step by step explanation Thank you &lt;3
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!