Answer:
a) 7/4 b) 5 c) 2
Step-by-step explanation:
Logrithmic Rule for a and b
Let a, M, N be positive real numbers.
a)
logaM - logaN = loga(M/N)
log9(7) - log9(4) = log9 (7/4)
b)
logaM + logaN = logaMN
log2 (x) + log2(9) = log2(45)
x9=45
(x9)/9 = 45/9
x = 5
c)
Change of base formula.
logb(x)=logd(b)/logd(x)
x log6(5) = log6(25) divide each term by log6(5)
x log6(5) / log6(5) = log6(25) / log6(5) Cancel common factor log6(5)
x = log6(25) / log6(5)
x = log6(5^2) / log6(5)
Expand log6(5^2) by moving 2 outside the logarithm.
x = 2log6(5) / log6(5) cancel the like term log6(5)
x = 2
make a box-and-whisker plot for the data. numbers of colors in a country's flag :3,2,2,4,4,3,6,3,5,3,4,1
Irina-Kira [14]
Answer: see attachment
<u>Step-by-step explanation:</u>
Put the numbers in order from smallest to biggest:
1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 6
↓ ∨ ↓
Q1 Median Q3
Q1 median = (2+3)/2 = 2.5 <---- left side of box plot
Median = (3+3)/2 = 3 <---- Vertical Line of box plot
Q3 median = (4+4)/2 = 4 <---- right side of box plot
Answer:
fyi b's answer has imaginary numbers in it...
Imaginary: 1 +
Imaginary: 1 -
Step-by-step explanation:
= 
... the negative root will produce imaginary solutions
Answer:
8. m=6
9. x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.
Step-by-step explanation:
Question 8:
2m-6=m
-2m -2m (subtract 2m from both sides)
<u>-6</u>=<u>-m</u>
- - (divide both sides by the negative)
m=6
Question 9:
<u>8x</u>=<u>16 </u> (divide both sides of the equation by 8)
8 8
x=2
Answer:
r=9
Step-by-step explanation:
13r=117
r=117/13
r=9
