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]
3 years ago
6

Which equation is equivalent to (5z^2+3z+2)^2

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

We can use:

(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc

(5z^2+3z+2)^2\\\\=(5z^2)^2+(3z)^2+2^2+2(5z^2)(3z)+2(5z^2)(2)+2(3z)(2)\\\\=5^2(z^2)^2+3^2z^2+4+30z^{2+1}+20z^2+12z\\\\=25z^4+9z^2+4+30z^3+20z^2+12z\\\\=25z^4+30z^3+29z^2+12z+4\to d)

\text{Answer:}\ d)\ 25z^4+30z^3+29z^2+12z+4

\text{Used:}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}

You might be interested in
According to the line Gregg below what is the total number of tickets sold ?
podryga [215]

Answer:

The answer would be 155 tickets

6 0
3 years ago
HURRY PLZ
Oliga [24]

Answer:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

6x + 2(−2x + 1) = 22

This step can be used to solve by substitution method.

8 0
3 years ago
How do i solve x/2+1/3=x/3+1/2
stepladder [879]
X/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6

x = 1

8 0
3 years ago
Read 2 more answers
The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}
lawyer [7]

This Question is incomplete

Complete Question:

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

What is the five number summary:

a) Minimum

b) Q₁

c) Median

d) Q₃

e) Maximum

Answer:

a) Minimum = 18

b) Q₁ = 27.5

c) Median = 39.5

d) Q₃ = 43

e) Maximum = 49

Step-by-step explanation:

From the above diagram, we were given the following set of data.

{18, 49, 38, 41, 33, 44, 42, 22}

Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:

{18, 22, 33, 38, 41, 42, 44, 49}

a) Minimum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the minimum number is the least or lowest number.

This number is 18

b) Q₁

{18, 22, 33, 38, 41, 42, 44, 49}

Q₁ means First Quartile. The formula is = ¼(n + 1)th value

n = Number of terms in the data set = 8

= ¼(8 + 1)th value

= ¼(9)th value

= 2 1/4 value

= 2.25 value

In the above Question, the 2.25 value is the value between the second and third number.

Hence:

22+33/2 = 55/2 = 27.5

Therefore, Q₁ = 27.5

c) Median

{18, 22, 33, 38, 41, 42, 44, 49}

The median of the number is the number in the middle

For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2

4th term = 38

5th term = 41

= 38 + 41/ 2 = 79/2

= 39.5

Hence, the median = 39.5

d) Q₃

{18, 22, 33, 38, 41, 42, 44, 49}

Q₃ means Third Quartile. The formula is = ¾(n + 1)th value

n = Number of terms in the data set = 8

= ¾(8 + 1)th value

= ¾(9)th value

= 6 3/4 value

= 6.75 value

In the above Question, the 6.75 value is the value between the sixth and seventh number.

Hence:

42+44/2 = 86/2 = 43

Therefore, Q₃ = 43

e) Maximum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the Maximum number is the highest number.

This number is 49

6 0
3 years ago
What is the difference in the range of temperatures recorded last year and the range of temperatures recorded two years ago ? In
stiks02 [169]

explain how crime contributes to social injustices

5 0
3 years ago
Other questions:
  • Y+ 1/2 =-3/4 How would you do this one
    11·2 answers
  • I need help on this question plz
    9·1 answer
  • To find the height of a pole, a surveyor moves 160 feet away from the base of the pole and then, with a transit 6 feet tall, mea
    15·1 answer
  • Elizabeth rolls a die 108 times. How many times can she expect to roll a 2? A. 54 B. 18 C. 36 D. 24
    9·2 answers
  • Continue the following pattern; describe the eighth figure in this pattern a. 49 small squares forming a larger 8 by 8 square b.
    7·1 answer
  • 9+ 13 + 17 + ...+ 457=
    14·1 answer
  • How do we solve this??
    15·2 answers
  • Solve using substitution. x + 2y = 4 and –4x − 7y = –9
    8·2 answers
  • Angle
    11·1 answer
  • Help me please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!