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castortr0y [4]
3 years ago
15

Complete the square for x^2 + 6x + ? to form a perfect square trinomial

Mathematics
1 answer:
Georgia [21]3 years ago
8 0
To complete the square, or finding the c constant of this trinomial to make it factor evenly, use this formula to find the c constant (as according to the quadratic equation ax^2+bx+c):
(b/2)^2

When you plug in the b value, 6, you should get this:
(6/2)^2

Then, when you simplify, you get a result of 9 which would be the missing constant to fill in your trinomial. When you plug it in, you should get this as your final trinomial:

x^2+6x+9
You might be interested in
Pleasee! Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Ilia_Sergeevich [38]

Answer:

A. 2y^4 over x^2

Step-by-step explanation:

4x^4y^6 ÷ 7x^8y^2

First, you will find the GCF of the equation which is: 7x^4y^2 .

Then, you will divide both of the equation by the GCF which will become:

14x^4y^6 ÷ 7x^4y^2 = 2y^4

7x^8y^2 ÷ 7x^4y^2 = x^2

Hence, the final answer is 2y^4 over x^2

6 0
2 years ago
Read 2 more answers
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 part
nalin [4]

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

4 0
3 years ago
BRAINLIEST to correct answer!!
Len [333]

They are equally spaced so all the circles share the same center point.

4 0
2 years ago
Read 2 more answers
Use the order of operations to evaluate this expression: 7+(5-9)2 + 3(16-8).​
Murljashka [212]

Answer:

23

Step-by-step explanation:

Order of Operations: BPEMDAS

1. Brackets

2. Parenthesis

3. Exponents

4. Multiplication

5. Division

6. Addition

7. Subtraction

Left to Right

Step 1: Write expression

7 + (5 - 9)2 + 3(16 - 8)

Step 2: Parenthesis (subtraction)

7 + (-4)2 + 3(8)

Step 3: Parenthesis (multiplication)

7 - 8 + 24

Step 4: Subtract

-1 + 24

Step 5: Add

23

6 0
3 years ago
Please help asap, will mark brainliest. Thank you
givi [52]
The answer is ccccccccccccc
5 0
3 years ago
Read 2 more answers
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