Answer:
6x2 + 23x + 7 = 0
Factorization:
(2x + 7)(3x + 1) = 0
Solutions based on factorization:
2x + 7 = 0 ⇒ x1 = −7
2
= −3.5
3x + 1 = 0 ⇒ x2 = −1
3
≈ −0.333333
Extrema:
Min = (−1.916667, −15.041667)
Step-by-step explanation: hope this helps
Answer: 1/8
Step-by-step explanation: The sample space are all of the different outcomes an event can lead to. The H and T combinations at the bottom are all of the different outcomes. I think the probability of getting 3 tails for the coins (or TTT) is 1/8. This is because there are 24 total outcomes (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). There is 3/24 TTTs (also, 1/8 if you count the groups/simplify). Therefore, it is 1/8. Hope this helps!
Hi there!

Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
