Mariah started to find the solutions of x2 + 4x + 1 = 0. her work is shown below. x2 + 4x + 1 = 0 x2 + 4x = –1 x2 + 4x + 4 = –1 + 4 (x + 2)2 = 3 which describes the solutions of the equation?

since -2 and 3 are both rational, the sum and difference are both rational
since -2 and /3 are both rational, the sum and difference are both rational
since -2 is rational and /3 is irrational, the sum and difference are irrational.
since /2 is rational and /3 is irrational, the sum and difference are irrational.

Since -2 is rational and √3 is irrational, the sum and difference are irrational.

Step-by-step explanation:

Given equation,

Which is the solution of given equation.

Now, an integer is always a rational number ( that can be expressed as  , where, p and q are integers such that q ≠ 0 ),

So, -2 is a rational number,

Now, √3 can not be expressed as p/q so it is an irrational number,

We know that sum and difference of rational and irrational number is always irrational.

Thus, -2 + √3 and -2 - √3 are irrational.

C

Since –2 is rational and StartRoot 3 EndRoot is irrational, the sum and difference are irrational.

Step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

it would take 5 hours i think idk i'm not that good at math.can you me with my questions i need asap.