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
Radda [10]
3 years ago
6

Complete the steps for solving 7 = –2x2 + 10x.

Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

<em>x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2</em>

Step-by-step explanation:

Let us solve by completing the square;

7 = - 2x^2 + 10x, ⇒ Switch sides,

- 2x^2 + 10x = 7, ⇒ Divide both sides by - 2,

x^2 - 5x = - 7 / 2, ⇒ Write the equation in the form x^2 + 2ax+ a^2, ( x + a )^2, solving for the value of a,

2ax = - 5x,

a = - 5x / 2x,

a = - 5 / 2, ⇒ Add a^2 ⇒ ( - 5 / 2 )^2 to either side of equation,

x^2 - 5x +  ( - 5 / 2 )^2 = - 7 / 2 + ( - 5 / 2 )^2, ⇒ Simplify,

( x - 5 / 2 )^2 = 11 / 4,

| x - 5 / 2 | = √ ( 11 / 4 ), Solve for value( s ) of x,

<em>Answer; x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2</em>

You might be interested in
Which expression represents the greatest common factor (GCF) of 70 and 112? A. 2 x 2 x 2 x 7 B. 2 x 2 x 2 x 5 C. 2 x 7 D. 2 x 2
Mekhanik [1.2K]

Answer:

\huge\boxed{C. \ \ GCF = 2 * 7}

Step-by-step explanation:

<u>Firstly, we'll do prime factorization of these numbers.</u>

70 = 2 × 5 × 7

112 = 2 × 2 × 2 × 2 × 7

<u>So, The Greatest Common Factor can be written as:</u>

GCF = 2 × 7    <u>[Since Only one 2 and one 7 is common]</u>

<u></u>

Hope this helped!

<h2>~AnonymousHelper1807</h2>
3 0
3 years ago
The sink in Josh’s art studio measures 16 inches by 15 inches by 6 inches. A second sink used just for paint brushes has a simil
marin [14]
Linear scale factor =1/2
volume scale factor=(1/2)³=1/8
the volume of the larger figure will be:
volume=length*width*height
volume=16×15×6
volume=1440 cubic inches
thus volume of the small sink will be:
1/8×1440
=180 cubic inches
3 0
3 years ago
Help yall pls! !!!!!
Anika [276]

Answer:

20 stickers

Step-by-step explanation:

sine she gave 20 to core one and wants to give the same amount to core two, she'd just give both core one and two 20 and then be left with 10

7 0
2 years ago
Does this table represent a function? Why or why not?
ivanzaharov [21]
In order to be a function, every x-value must correspond to only one y-value.

Answer: D
3 0
3 years ago
Read 2 more answers
PQ=20,RS=20 and the measure of ARC PT= 35 Find the measure of arc RS
Oksi-84 [34.3K]
If RS arc is = to the RS central angle then the RS arc would be 20 degrees, but if the RS is on the Circumference then the RS arc would be 40.
4 0
2 years ago
Other questions:
  • What 2 numbers can go into 33 equally?
    9·2 answers
  • How do I Solve and graph the inequality |6 – v| &lt; 9?
    9·1 answer
  • Name the equation for any horizontal line of your choosing
    9·1 answer
  • How do u write this as an equation in slope intercept form?
    12·1 answer
  • 1, 5, 9, 13...
    7·1 answer
  • In a game, a participant is given three attempts to hit a ball. On each try, she either scores a hit, H, or a miss, M. The game
    15·1 answer
  • Sandra saves 10% of her salary for retirement. This year her salary was $2,000 more than in the previous year, and she saved $4,
    7·2 answers
  • How many miles is it from Honolulu to pearl harbor
    11·1 answer
  • What happens to the slope when a line with positive slope gets close to vertical
    14·1 answer
  • WHO EVER ANSWERS FIRST AND IS CORRECT GETS BRAINLIEST!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!