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
lina2011 [118]
4 years ago
10

Solve for x in the equation x2 - 12x + 36 = 90

Mathematics
1 answer:
Mariana [72]4 years ago
8 0

x^2 - 12x + 36 = 90 \\ (x-6)^2=90\\ x-6=\sqrt{90} \vee x-6=-\sqrt{90}\\ x=6+3\sqrt{10} \vee x=6-3\sqrt{10}

You might be interested in
The table shows the heights of 40 students in a class.
Studentka2010 [4]

Answer:

Step-by-step explanation:

Hello!

a)

The given information is displayed in a frequency table, since the variable of interest "height of a student" is a continuous quantitative variable the possible values of height are arranged in class intervals.

To calculate the mean for data organized in this type of table you have to use the following formula:

X[bar]= (∑x'fi)/n

Where

x' represents the class mark of each class interval and is calculated as (Upper bond + Lower bond)/2

fi represents the observed frequency for each class

n is the total of observations, you can calculate it as ∑fi

<u>Class marks:</u>

x₁'= (120+124)/2= 122

x₂'= (124+128)/2= 126

x₃'= (128+132)/2= 130

x₄'= (132+136)/2= 134

x₅'= (136+140)/2= 138

Note: all class marks are always within the bonds of its class interval, and their difference is equal to the amplitude of the intervals.

n= 7 + 8 + 13 + 9 + 3= 40

X[bar]= (∑x'fi)/n= [(x₁'*f₁)+(x₂'*f₂)+(x₃'*f₃)+(x₄'*f₄)+(x₅'*f₅)]/n) = [(122*7)+(126*8)+(130*13)+(134*9)+(138*3)]/40= 129.3

The estimated average height is 129.3cm

b)

This average value is estimated because it wasn't calculated using the exact data measured from the 40 students.

The measurements are arranged in class intervals, so you know, for example, that 7 of the students measured sized between 120 and 124 cm (and so on with the rest of the intervals), but you do not know what values those measurements and thus estimated a  mean value within the interval to calculate the mean of the sample.

I hope this helps!

4 0
4 years ago
The sum of three times a number and seven is 22
svet-max [94.6K]

Answer:

3x+7=22

Step-by-step explanation:

three times a number is

3\times x=3x

so the sum of 3x and 7 is 22

3x+7=22\\\\3x=15\\\\x=5

you can leave it here

3x+7=22

if you need the value of x

then

x=5

5 0
3 years ago
A rectangular pitcher is 3 inches wide, 9 inches long and 16 inches tall. If water is filled up to 5 inches, how much more water
koban [17]

Answer:

427

Step-by-step explanation:

Find volume

Subtract 5 inches

8 0
3 years ago
Which value for x completes the conditional relative frequency table by column?
zheka24 [161]

<u>Answer-</u>

In the conditional relative frequency table by column, the value of x is 0.85

<u>Solution-</u>

From the paint color preference table,

Liked new paint color + Disliked new paint color = 1

\Rightarrow x+0.15 = 1

\Rightarrow x=1-0.15

\Rightarrow x=0.85

Therefore, we have x=0.85 or 85% of adults who like the new color of the paint.

7 0
3 years ago
Workkeys aplied math testing ?<br>​
Dima020 [189]

Answer:

what did you say

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The parabolas defined by the equations y=-x^2-x+1 and y=2x^2-1 intersect at points (a, b) and (c, d), where c&gt;=a. What is c-a
    14·1 answer
  • 30 points because I'm not cheap #2. I'll be asking more question so look out for that. (';
    5·2 answers
  • PLEASE HELP 20 POINTS
    13·1 answer
  • It is predicted that for the next 8 years, the number of connected devices in households across the world will be 18.36% more th
    11·2 answers
  • Find the area of the shape
    5·1 answer
  • What is the answer of (-5g+9-2g^2)+(3g^2-g)
    7·1 answer
  • You and a friend want to know how much rope you need to climb a large rock. Your friend is 5.5 feet tall and casts a shadow that
    6·1 answer
  • The Buffalo football team Lost 12 yards then gained 27 yard during the next play what was the change in position
    15·1 answer
  • Paul Cravinho
    9·1 answer
  • Please Help!!!!!!!!!!!!1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!