Answer:
Explanation:
This is an exponential growing: there is a constant growing<em> factor </em>which multiplies the value number of letters sent every week.
The growing factor <em>4 letters every 9.1 weeks</em> means that every 9.1 weeks the number of letters is multiplied by 4.
Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.
Then, the exponential<em> function</em> <em>that models the number of people who receive the email t weeks since Tobias initially sent the chain letter</em>, has the form:
<em>Tobias initially sent the chain letter to 37 friends</em>; thus, the initial value is 37, and the complete function is:
, where t is the number of weeks since Tobias initially sent the chain letter.
Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation
2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13
so the solution is (-17/13, 38/13)
Answer:
a = 6, b = 22.5
Step-by-step explanation:
One triangle is 2.5 times bigger than the other.
9*2.5=22.5 which means b = 22.5
15/2.5=6 which means a = 6
You have $60.00.
Each CD (x) is $11.00.
11x ≤ 60
The number of CDs multiplied by the cost (11) has to be less than or equal to 60.
x ≤ 5.45
You can only buy 5 CDs.
Label your sides= hypotenuse(h),opposite(o),adjacent(a)
hypotenuse=longest(opposite the right angle)
opposite= opposite the other angle
adjacent= the other side
see which sides are involved
in this case it is adjacent and hypotenuse
so A and H
we have to use the SOHCAHTOA rule
Sin=o/h Cos=a/h Tan=o/a
we use cos because a and h are involved
Cos(15°)=62/x
rearrange the equation to find x
x= 62/cos(15)
put this in your calculator
x= 64.12
