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
Natalija [7]
3 years ago
11

Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21 The numbe

r of positive solutions to this equation is _______ . The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is _______ .
Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

-1 ± 3i√6

Step-by-step explanation:

Please write this quadratic equation as follows:  x^2 + 2x + 7 = 21.  The " ^ " indicates exponentiation.

The coefficients of this quadratic are 1, 2, 7.

Thus, the "discriminant" b^2 - 4(a)(c) is  (2)^2 - 4(1)(7), or 4 - 28, or -24.

Because the discriminant is negative, this quadratic has two different complex roots:

      -b ± √[ discriminant ]          -2 ± 2i√6      

x = ---------------------------------  =  -----------------  = -1 ± 3i√6

                 2a                                     2

You might be interested in
Colin surveyed 12 teachers at school to determine how much each person budgets for lunch. He records his results in the table. W
zmey [24]

Answer:

<em>As mean and median are equal, so the data will be in normal distribution in shape of a symmetrical "bell curve".</em>

Step-by-step explanation:

The given data:   10   5   8   10   12   6   8   10   15   6   12   18

<u>Mean is the simple average of all data</u>. As, there are total 12 data, so the Mean will be:  \frac{10+5+8+10+12+6+8+10+15+6+12+18}{12}= \frac{120}{12}=10

For finding the Median, <u>first we need to rearrange the data according to the numerical order and then identify the middle value</u>. So........

5   6   6   8   8   10   10   10   12   12   15   18

Here the middle values are 10 and 10. So, the median will be the average of those two middle values.

Thus, Median =\frac{10+10}{2}=\frac{20}{2}=10

We can see that, <u>the relationship between the mean and the median is "they are equal"</u>. So, the data will be in normal distribution and the shape will be symmetrical "bell curve".

8 0
3 years ago
Read 2 more answers
An elf ate 15 of your muffins. that was 5/8 of all of them. how many are left?
zavuch27 [327]

Answer: 9

Step-by-step explanation:

An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:

We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.

5/8 of y = 15

5/8 × y = 15

0.625 × y = 15

0.625y = 15

Divide both side by 0.625

0.625y/0.625 = 15/0.625

y = 24

The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9

6 0
3 years ago
A group of friends goes out to lunch. The total bill, excluding tax, is $22. If tax on the meal is 6% and if a 20% tip is left o
TiliK225 [7]

Answer:

27.72

Step-by-step explanation:

Sorry about before i made a slight mistake

5 0
2 years ago
Please help me with this math
motikmotik
The answer must be 2.333333333 × 10^5
3 0
3 years ago
Read 2 more answers
If you roll two four-sided dice numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 7? Enter a fractio
Anna [14]
The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2
8 0
4 years ago
Other questions:
  • the product of two numbers is 450. The first number is half of the second number. Which equation can be used to find x, the grea
    5·1 answer
  • A rectangle prism is 7 cm long, 5 cm wide, and 4 cm. Which values are the areas of cross sections that are parallel to a face or
    10·1 answer
  • therotreritcal probablity the theoretical probability that a pop song plays on your mp3 player is 0.45 there are 80 songs on you
    7·1 answer
  • Daniel wants to do 312 practice problems to prepare for an exam. If he wants to do approximately the same number of problems eac
    11·2 answers
  • A lunch menu consists of 4 different kinds of sandwiches, 5 different kinds
    10·1 answer
  • PLEASE HELP ASAP!!!<br><br>what is the length of the hypotenuse of the triangle?​
    14·1 answer
  • At the baseball game, Gayle bought 3 candy bars for $.70 each. Glenn bought a hot dog for $2.25. If Glenn used a $5 bill to pay
    14·2 answers
  • . If you ask to round 6.0865 to the nearest tenths, what process are you going to do? *
    11·1 answer
  • What is the probability of an event that is certain?
    10·2 answers
  • Will give BRAINLIEST
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!