What two fractions multiply to equal -1 and add to equal 1/4

The two such fractions are: 113/100 and -22/25.

Step-by-step explanation:

Let us assume two such fractions are P and Q.

⇒ P x Q  = -1

and P + Q = 1/4

Now, to solve for the values of P and Q:

P + Q = 1/4 ⇔ Q = 1/4 - P

Substitute this value of Q in P x Q  = -1, we get:

P x Q  = -1  

Now, solving this with the help of QUADRATIC Formula:

We get: P = 1.13 or P  = -0.8825

Now, if P = 1.13, Q  = -1/1.13 = -0.88  = -88/100  = -22/25

If P = -0.88, then Q = 1/0.88 = 1.13  = 113/100

Hence, The two such fractions are: 113/100 and -22/25.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: