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marissa [1.9K]
3 years ago
9

A2+2a-3=0 solving equations by completing the square

Mathematics
1 answer:
Olenka [21]3 years ago
8 0
I assume that you mean a^2 + 2a - 3 = 0

You need to find two numbers that multiply together to give the number 3 and when added give the answer 2 (as in 2a).  In this case the numbers are 3 and 1 (3 x 1 = 3 and 3 - 1 = 2)

Therefore we have
(a + 3)(a - 1) = 0

The values of x which solve the equation are -3 and 1
The reason is that -3 + 3 = 0 and 1 - 1 = 0 : zero times any number is zero


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Help Please?
Gemiola [76]

Answer:

1 a = 70%

 b 6.5 times

c  green = 16%

2.  ?????  Very poorly worded question

2. a 54%

b. 46%

c. 70%

d.  27%

Step-by-step explanation:

1. Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.  

red is .26

blue is .40

yellow is .04

---------------------

                .70   = 70 %

b. How many times more students said red than yellow?

red  .26

yellow is .04

.26/.04 =  6.5 times


c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+     40 +     4           + 14     +  green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.



If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

5 0
3 years ago
To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much
WITCHER [35]
To solve this problem you must follow the proccedure shown below:

 1. Amount of lemonade in pints:

 1 <span>quart of water=2 pints
 1 pint of lemon
 (9  ounces of honey)(0.0625 pints/1 ounce)=0.56 pints

 Total in pints=2 pints+1 pint+0.56 pints
 Total in pints=3.56 pints

 2. </span>Amount of lemonade in<span> cups:

 Total in cups=(3.56 pints)(2 cups/1 pint)
 Total in cups=7.12 cups

 
3. </span>Amount of lemonade in<span> ounces:

 Total in ounces=(7.12  cups)(8 ounces/1 cup)
 Total in ounces=56.96 ounces</span>
4 0
3 years ago
Emily spent a total of 38.04 on four CDs if each CD cost the same amount what is a reasonable amount for each CD explain why you
mojhsa [17]
To find the cost of one CD, we divide 38.04 by 4

38.04 ÷ 4 = 9.51

The answer is reasonable because it's an accurate answer.
6 0
3 years ago
Read 2 more answers
What is the slope of the line through (2,-1) and (-2,-3)
Ipatiy [6.2K]

Answer:

y=1/2x-2

Step-by-step explanation:

1. Find slop by subtracting y values over subtracting x values, which will get you the m value

-1+3 / 2+2 = 1/2

3 0
3 years ago
Please solve with explanation 20 points
Lapatulllka [165]

Answer: D

Step-by-step explanation: start at y-axis and go over 5, down 1 since its a -1.

8 0
3 years ago
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