What are the solutions for the equation 2z^2+4z+2=0

Answers

Answer 1
Answer: undistribute 2
2(z^2+2z+1)=0
factor
2(z+1)(z+1)=0
se to zero
2=0 false
z+1=0
z=-1


solution is z=-1

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Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.A. X-2y=-12 B.Y=1/2x C.y=1/2x+6 D.y=1/2x+9
Given that f(x) = x^2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4find each function. (f + g)(x)
What is the solution of x - 13 =5
Suppose JK bisects angle LJM. The measure of angle LJK = (-10x + 3) and the measure of KJM = (-x + 21)º. Find the measure of angle LJM.Need help on how to solve
Natalie tried to evaluate the expression \left( 4^{-3} \cdot 2^{-3} \right)^{0}(4 −3 ⋅2 −3 ) 0 left parenthesis, 4, start superscript, minus, 3, end superscript, dot, 2, start superscript, minus, 3, end superscript, right parenthesis, start superscript, 0, end superscript. \begin{aligned} &\phantom{=}\left( 4^{-3} \cdot 2^{-3} \right)^{0} \\\\ &=\left( 8^{-3}\right)^{0} &\text{Step } 1 \\\\ &= 8^{0} &\text{Step } 2 \\\\ &=0&\text{Step } 3 \end{aligned} ​ =(4 −3 ⋅2 −3 ) 0 =(8 −3 ) 0 =8 0 =0 ​ Step 1 Step 2 Step 3 ​ Did Natalie make a mistake? If so, in which step?

This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber plants did he plant this year if last year he planted 12 plants?

Answers

Equation is the mathematical statement that two expression are equal.  The total number of cucumber plant, planted by Carlos is 10.

Given information-

This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year.

The total number of cucumber plants he planted last year is 12.

Convert the statements given in the problem in the form of equation to find the number of cucumber plant.

What is mathematical equation?

Equation is the mathematical statement that two expression are equal.  

Suppose Carlos planted x plants this year. As Carlos planted 6 more than one-third of the cucumber plants he planted last year and the total number of cucumber plants he planted last year is 12. Thus,

x=6+(1)/(3)*12\nx=6+4\nx=10

Hence the total number of cucumber plant, planted by Carlos is 10.

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he planted 10.
1/3 of 12 is 4.
he planted 6 more than 4.
4+6=10

a line has the equation 8x-2y=24 in standard form.Rewrite the equation of the line in slope intercept form.Then report the slope and y intercept.

Answers

8x-2y=24
-8x     -8x
-2y=-8x+24
----- ---- ----
  -2   -2   -2
y=4x-12

slope: 4
y-intercept: -12

Lee needed to make drapes the length from the floor to the top of the window. The wall beneath the window had the height of 2 2/3 feet and the height of just the window measured 2 3/4 feet. How long do the drapes have to be?

Answers

We\ should\ sum \ those \ two\ measurements\ to \ obtain\ length\ of\ drapes\n\n 2 (2)/(3)+2(3)/(4)=(8)/(3)+(11)/(4)=(24)/(12)+(33)/(12)=(57)/(12) =4,75feet

You would like to have $1,000 5 years from now and believe you can earn 6% on your money. How much would you have to deposit today to reach your $1,000 goal? A) $747.26 B) $747.26 C) $747.26 D) $747.26

Answers

All options are the same, any of them would work. $747.26

Which of the following statements is true

Answers

The correct statement regarding the operations with polynomials is given as follows:

C. (10x³ + 2x² - 11) + 9x² + 2x - 2 = 10x³ + 11x² + 2x - 13.

What are like terms?

Like terms are terms that share these two features:

  • Same letters. (algebraic variables).
  • Same exponents.

If two terms are like terms, then they can be either added or subtracted, that is, we can use them to simplify a polynomial.

Hence the polynomial that is correctly simplified in this problem is given as follows:

(10x³ + 2x² - 11) + 9x² + 2x - 2 = 10x³ + 2x² + 9x² + 2x - 11 - 3 = 10x³ + 11x² + 2x - 13.

Meaning that option C is the correct option in the context of this problem.

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Which two numbers multiply to 24 and add to 2?

Answers

Final answer:

The two numbers that multiply to 24 and add to 2 are -4 and -6. You can find these through the process of elimination with the equations x*y=24 and x+y=2.

Explanation:

The two numbers that multiply to 24 and add to 2 are -4 and -6. Let's find out how:

  1. First, you should write down the equation based on the question, x*y=24 (x and y are the two numbers).
  2. Then, form another equation according to the question, x+y=2.
  3. Now, solve these two equations. With some trial and error, you will find the two numbers are -4 and -6, because (-4)*(-6)=24 and -4+-6=2.

Note that the two numbers are negative which is why they add to a positive number when multiplied.

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