Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23
so a= -2 ,b= -23
b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=
2+V69/9=2+V23/3
c=2, d= 23/3
Answer:
a) First Average mean = 21
b) Current mean = 22
Step-by-step explanation:
Formula For mean =
Sum of Terms/ Number of terms
a)Sandy had test scores of 20, 25, 17, 22, and 21.
Number of terms = 5
Mean = (20 + 25 + 17 + 22 + 21)/5
= 105/5
= 21
b) On the next 3 test Sandy's score were 24, 24, and 23
To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.
Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8
Mean = 176/8
Mean = 22
The formula to find the volume of a prism is V=Bh (Volume = Base x height). Let's plug in the dimensions you were given:
V=Bh
V=(5)(10)
V=50 {tex] ft^{2} [/tex]
To find the new volume of the dilated prism, cube the dilated factor, then multiply by the volume you just found (old volume):
New Volume = (

)(Old Volume)
V = (

)³·50
V = (

V = 86.4
2.1052631578947385% increase. You can use this helpful tool for any percentage problems in the future!
https://percentagecalculator.net/