Let the two numbers be represented by x and y. Then xy = 4 and x + y = -5.
Solving the first equation for y, we get y = 4/x.
Subbing 4/x for y in the second equation, we get x + 4/x = -5.
Multiplying all three terms by x removes the fractional term:
x^2 + 4 = -5x
Rearranging terms in descending powers of x: x^2 + 5x + 4 = 0
Factoring, (x+1)(x+4)=0, so that x = -1 and x= -4 are roots / solutions.
Note that (-1)(-4) = 4 and that (-1) + (-4) = -5, as required.
Two such numbers are {-1, -4).
Answer:
The bridge is 80 feet long
Step-by-step explanation:
We will use the ratio method to solve the question
∵ The engineer used the scale 3 inch = 40 feet
∴ The scale drawing is ⇒ 3 inche : 40 feet
∵ The drawing length of the bridge is 6 inches
→ By using the ratio method
→ inch : feet
→ 3 : 40
→ 6 : x
→ By using cross multiplication
∵ 3 × x = 6 × 40
∴ 3x = 240
→ Divide both sides by 3
∴ x = 80
∵ x represents the actual length of the bridge
∴ The bridge is 80 feet long
Answer:
81.85% of days would you expect the store to sell from 33 to 42 pairs of shoes
Step-by-step explanation:
The mean number of pairs of shoes sold by a shoe store is 36
Standard deviation =
We are supposed to find percent of days would you expect the store to sell from 33 to 42 pairs of shoes i.e.P(33<x<42)
Formula :
At x = 33
Z=-1
Refer the z table for p value
p =0.1587
At x = 42
Z=2
Refer the z table for p value
p =0.9772
So,P(33<x<42)=P(x<42)-P(x<33)=0.9772-0.1587=0.8185
Hence 81.85% of days would you expect the store to sell from 33 to 42 pairs of shoes
Answer:
It's a parallelogram, angles B and D, and A and C are congruent, lines AB and DC, and BC and AD are congruent.
Step-by-step explanation: