Answer:
Step-by-step explanation:
<u>Given</u>
<u>Substitute x with -3</u>
-
h(-3) = (-3)^-2 = 3^-2 = 9^-1 = 1/9
Answer:
a 26
b 8 2/3
Step-by-step explanation:
a) 4 1/3 * 6
Change the mixed number to an improper fraction
(3*4+1)/3 *6
13/3 *6
= 78/3
= 26
b) 2 3/5 * 3 1/3
Change the mixed numbers to improper fractions
(5*2+3)/5 * (3*3+1)/3
13/5 * 10/3
130/15
Top and bottom divide by 5
26/3
Change back to a mixed number
3 goes into 26 8 times (3*8 =24) with 2 left over
8 2/3
Exponentail thingies
easy, look at all them them, see that they have 5 in common?
rremember how esay it was to factor
ax^2+bx+c=0
now we have
5^(2x)-6(5^x)+5=0
remember that 5^(2x)=(5^2)^x or (5^x)^2
in other words, we can rewrite it as
1(5^x)^2-6(5^x)+5=0
if yo want, replace 5^x with a and factor
1a^2-6a+5=0
(a-1)(a-5)=0
a=5^x
(5^x-1)(5^x-5)=0
set each to zero
5^x-1=0
5^x=1
take the log₅ of both sides
x=log₅1
5^x-4=0
5^x=4
take the log₅ of both sides
x=log₅4
x=log₅1 and/or log₅4
second quesiton
same thing
1(2^x)-10(2^x)+16=0
factor
(2^x-8)(2^x-2)=0
set each to zero
2^x-8=9
2^x=8
x=3
2^x-2=0
2^x=2
x=1
x=3 or 1
first one
x=log₅1 and/or log₅4
second one
x=1 and/or 3
Answer:
Step-by-step explanation:
Answer:
1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.
