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
brilliants [131]
4 years ago
10

Which statement describes the first step to solve the equation by completing the square?

Mathematics
1 answer:
Virty [35]4 years ago
3 0
None of the statements are true,

Proof:
Solve for x over the real numbers:
2 x^2 + 12 x = 32

Subtract 32 from both sides:
2 x^2 + 12 x - 32 = 0

2 x^2 + 12 x - 32 = 2 (x^2 + 6 x - 16):
2 (x^2 + 6 x - 16) = 0

Divide both sides by 2:
x^2 + 6 x - 16 = 0

x = (-6 ± sqrt(6^2 - 4 (-16)))/2 = (-6 ± sqrt(36 + 64))/2 = (-6 ± sqrt(100))/2:
x = (-6 + sqrt(100))/2 or x = (-6 - sqrt(100))/2

sqrt(100) = sqrt(4×25) = sqrt(2^2×5^2) = 2×5 = 10:
x = (-6 + 10)/2 or x = (-6 - 10)/2

(-6 + 10)/2 = 4/2 = 2:
x = 2 or x = (-6 - 10)/2

(-6 - 10)/2 = -16/2 = -8:

Answer:  x = 2 or x = -8
You might be interested in
Sydney bought 5.65 lbs of roast beef, which was on sale for $4.50 per pound. if she divides the roast beef evenly among 6.5, how
Sever21 [200]
Okay. So, she buoyant 5.65 lbs of roast beef for $4.50. Multiply both of those numbers to get 25.425 or 25.43 when rounded to the nearest hundredth. So the total cost was $25.43. However, we now have to divide the amount by 6.5. 25.43/6.5 is 3.912 and other odd numbers or 3.91 when rounded to the nearest hundredth. The cost per sandwich was $3.91.
6 0
3 years ago
According to the empirical (69-95-99.7) rule, if a random variable z has a standard normal distribution, then approximately 95%
Dmitry_Shevchenko [17]

Using z-scores, it is found that the value of z is z = 1.96.

-----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean \mu and standard deviation \sigma, is given by:  

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • Each z-score has an associated p-value, which is the percentile.

  • The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
  • The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
  • The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
  • Thus, the value of Z is 1.96.

A similar problem is given at brainly.com/question/16965597

7 0
2 years ago
Which of the following is the least? WILL GET MARKED BRAINLIST
hodyreva [135]

Answer:

With my predictions it is 2/11 hope it helps

5 0
3 years ago
Read 2 more answers
In the xy- plane, the graph of the equation y + 3x + 5 is a line that intersects the y-axis at (0,b) what is the value of b?
maxonik [38]

Answer:

b=5

Step-by-step explanation:

The given equation is:

y=3x+5

To find the point where this line intersect the y-axis, we put x=0 into the given equation.

When x=0, we have y=3(0)+5.

This implies that; y=5.

The y-intercept is (0,5).

Comparing (0,5) to (0,b), we can conclude that; b=5

8 0
4 years ago
What two prime numbers equal 85
hram777 [196]
One and eighty five. 1x85=85 but 85 isnt prime>>>

7 0
3 years ago
Read 2 more answers
Other questions:
  • Audrey needs to cut 1 meter of yellow ribbon and 28 centimeters of blue ribbon. In total, how many centimeters of ribbon does sh
    13·2 answers
  • Samantha has 54 beads. Amanda has twice as many beads as Samantha. They are making bracelets it takes 8 beads to make a bracelet
    9·1 answer
  • Perform the indecated operation. 5 over 9 times 3 over 7
    6·2 answers
  • Mrs. Lang asked these questions to her sixth-grade students. Which
    11·1 answer
  • A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles. HINT [See Example 7.
    5·1 answer
  • 6x−4=2(3x−2)
    5·2 answers
  • Need help plz very difficult
    10·1 answer
  • Colleen says she is thinking of a 4 digit number im which all the digits are the same. The value of the digit in the hundreds pl
    7·1 answer
  • Rectangle FGHJ has coordinates F(-8, 6), G(8, 6), H(8,-6), and J(-8, -6). The rectangle is dilated by a scale factor of v with t
    7·1 answer
  • A block of iron has a mass of 3152 kg and a volume of 0.4 m².Calculate the density of the block of iron, in kg/m3.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!