Answer:
1. =−8
2. =4x^6−5x^5+2
Step-by-step explanation:
happy to help ya :)
hello :
<span>–3(x + 3)² – 3 + 3x = -3( x² +6x+9) -3 +3x
=-3x² -18x -27 -3 +3x
= -3x² - 15x -30.. ( </span><span>standard form)</span>
Answer:
In standard form: y = 1(-2) + 2
Step-by-step explanation:
y=mx+b
m is the slope (calculate with rise over run, 2/2 is 1)
x is the x intercept (in this case -2)
b is the y intercept (in this case 2)
Answer:
0.3960
Step-by-step explanation:
X - no of questions answered correct is binomial since each question is independent of the other and there are two outcomes
p = Prob of any one question right = 0.2 (1/5)
n = 44
Normal approximation would be mean = np = 8.8 and Variance = npq = 7.04
Std dev = 
X is N(8.8,2.6534)
Or Z = 
Since we approximate discrete to continuous continuity correction is to be applied
means x≥9.5
P(X≥9.5) = 0.3960
Answer:
<em>The other dimension is x=4 cm</em>
Step-by-step explanation:
<u>Surface Area of a Rectangular Prism</u>
Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:
A = 2(xy + yz + xz)
We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:
148 = 2(x*5 + 5*6 + x*6)
Dividing by 2:
74 = x*5 + 5*6 + x*6
Operating:
74 = 5x + 30 + 6x
Simplifying:
74 = 11x + 30
Subtracting 30:
44 = 11x
Dividing by 11:
x = 4 cm
The other dimension is x=4 cm