Find γ so that one of the zeros of the quadratic polynomial x^2 - γx +(γ - 1) is double the other

The y value would be -1.5 in order to get roots of -.5 and -1, one of which is double the other.

In order to find this, we can set the roots values at root#1 = a and root#2 = 2a. This is because we know the second should be twice the first one. Now, knowing the way that factoring works, we know that the two roots added together must equal the middle term, and multiplied together must equal the final term.

a + 2a = -y

a(2a) = y - 1

Now we can solve the first one for y and plug that into the second equation.

a + 2a = -y

3a = -y

-3a = y

Place into the next equation.

a(2a) = y - 1

a(2a) = -3a - 1

2a^2 = -3a - 1

2a^2 + 3a + 1 = 0

Now we can use this quadratic to find the roots. These roots would be -1 and -.5. We can now use this in parenthesis to find the standard form of the equation.

(x + 1)(x + .5)

x^2 + 1.5x + .5

Now that we have this, we can solve for the y using either the middle or end term. We'll use the middle term for the purpose here.

1.5x = -yx > divide by x

1.5 = -y ---> divide by -1

y = -1.5

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%