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
lisabon 2012 [21]
3 years ago
15

Find the exact solution of 3x^2+7=28

Mathematics
1 answer:
Softa [21]3 years ago
4 0

\text{Solve:}\\\\3x^2+7=28\\\\\text{Subtract 7 from both sides}\\\\3x^2=21\\\\\text{Divide both sides by 3}\\\\x^2=7\\\\\text{Square root both sides}\\\\\sqrt{x^2}=\sqrt7\\\\x=\pm\sqrt7\\\\\boxed{x=\sqrt7\,\,or\,\,x=-\sqrt7}

You might be interested in
A sample of blood pressure measurements is taken for a group of​ adults, and those values​ (mm Hg) are listed below. The values
nika2105 [10]

Answer:

For systolic pressure data:

\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085

For diastolic pressure data:

\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

CV=\frac{\bar X}{S}

S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2

\bar X={\frac{1}{n} \sum_{i=1}^n x_i

For systolic pressure data:

\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085

For diastolic pressure data:

\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

7 0
3 years ago
How much interest is earned for the investment? $20,000 for 2 years at 6% compounded annually
Sunny_sXe [5.5K]
You earn $2,400 in interest over the 2 years 
3 0
3 years ago
I need help please!:D
Dafna1 [17]

Answer:

1 & 2

Step-by-step explanation:

6 0
3 years ago
For all values of x, f(x)=2x^2 and g(x)= x+1<br> Solve fg(x) = gf(x)
Andrej [43]

Answer:

-0.25

Step-by-step explanation:

→ Find fg(x)

2 ( x + 1 )² = 2x² + 4x + 2

→ Find gf(x)

2x² + 1

→ Equate them

2x² + 1 = 2x² + 4x+ 2

→ Move everything to the right hand side

0 = 4x + 1

→ Solve

x = -0.25

4 0
2 years ago
Read 2 more answers
The sum of twice a number and 18 is 5 less than three times the number, Write the
topjm [15]

Step-by-step explanation:

Let x represent the number.

We have 2x + 18 = 3x - 5, therefore x = 23.

The number is 23.

8 0
2 years ago
Other questions:
  • What is the value of 62 tens?<br><br> Need help now.. ASAP<br> Thanks
    8·2 answers
  • Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s co
    10·2 answers
  • What is the equation of the following line (4 -3) (0 0)
    7·2 answers
  • Juan went out to eat dinner, and the meal cost $60.00. If Juan received a 18% discount, what was the total value of the discount
    5·2 answers
  • A small bat can eat up to 1,000 mosquitos in an hour. How many mosquitoes can a small
    13·2 answers
  • Please I need help ASAP
    10·1 answer
  • Use the Chain Rule to find dw/dt.<br> w = xey/z, x = t3, y = 7 − t, z = 8 + 4t<br> dw<br> dt<br> =
    6·1 answer
  • Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement
    13·1 answer
  • What is the slope of the line y = − 4?
    11·2 answers
  • Which geometric term is modeled by a thumbtack on a bulletin board?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!