Solve the equation using the quadratic formula.x^2 + 3x -2 = 0
Question options:

x = −3±√17/2

x =−2±√17/3

x = −2±√29/4

x = 3±√11/2

Answers

Answer 1
Answer: Hello:
x²+3x-2 = 0
delta = b²-4ac       a=1       b = 3        c = -2
delta =(3)²-4(1)(-2) =17 =(√17)² 
x = −3±√17/2


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How many laps can jaden complete in 12 minutes

Answers

Answer:

96 laps in 12 minutes

144 laps in 18 minutes

Step-by-step explanation:

We can  use the unit rate, which is 8 laps in 1 minute

8 laps/ 1 minute * 12 minutes = 96 laps

8 laps/ 1 minute * 18 minutes = 144 laps

We can use also use ratios to solve the problem.

5 minutes              12 minutes

--------------------  = --------------------

40 laps                    x laps

Using cross products

5*x = 40 * 12

Divide each side by 5.

x = 40/4 * 12

x = 96 laps

5 minutes              18 minutes

--------------------  = --------------------

40 laps                    x laps

Using cross products

5*x = 40 * 18

x = 40/5 * 18

x = 144

Answer: 96 laps

Step-by-step explanation:

     We are given a unit rate of 8 laps per one minute. Using this unit rate, we can multiply the given minutes by the laps per minute.

           \displaystyle 12\text{ minutes}* 8 \;\frac{\text{laps}}{\text{minute}}=96\text{ laps }

     This gives us an answer of 96 laps.

Why is " 3 meals a day" a unit rate​

Answers

Answer:

its a unit rate because it compares 3 meals to 1 day (ex. breakfast, lunch, dinner all = 1 day)

Step-by-step explanation:

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The numbers 1 through 50 are written with red marker on slips of paper while the numbers 51 through 100 are written with blue marker on slips of paper. All the papers are put into a bag and shuffled. One card is
randomly selected.
a. Find the probability of selecting a number less than 16 or a number written in red.
b. Find the probability of selecting a number written in blue or a multiple of 5.

Answers

A. we want to pull 15 or less from the bag and there are 100 possibilities
(15)/(100)=(3)/(20)
the probability is 3 out of 20

B. we are trying to pull a 55,60,65,75,80,85,90,95,or 100 that is 9 possibilities out of 100

(9)/(100)  is the possibility of pulling a multiple of 5 that is blue 
 
a. The probability of picking a number less than 16 or a number in red is 65/100.
b. The probability of picking a number written in blue or a multiple of 5 is 70/100. 

Find the sum of the given polynomials.7b + 3, -4b + 5, and -3b + 2

answer options are:
10b + 2
10
0
b - 8

I will give Brainliest answer and a thank you.

Answers

Rearrange the equation for like terms:

7b - 4b - 3b + 3 + 5  + 2

= 10

Answer:

10

Step-by-step explanation:

The antagonist usually brings __________ to the __________.peace . . . main character
irony . . . plot
conflict . . . protagonist
resolution . . . setting

Answers

The correct answer would be conflict and protagonist. The antagonist usually brings conflict to the protagonist. A protagonist is the main character in the story who always embodies the good character and always brings peace and order in the story. An antagonist is the character in the story that acts as the enemy or opponent of the protagonist who is always against his/her intentions. 

conflict . . . protagonist

Hope it helps

Write the equation of the line that passes through (10,-3) and (-20,9) in slope intercept form

Answers

Answer:

y=-(2)/(5)x+1

Step-by-step explanation:

Write in slope-intercept form,  y=mx+b.