Answer:
<em>Tadeo Volunteered for 12 hours while Dylan volunteered for 2 hours</em>
Step-by-step explanation:
Let the total number of hours Tadeo volunteered be x
Let the total number of hours Dylan volunteered be y
If together they volunteer at a total of 14 hours, then;
x + y = 14 ...... 1
If<em> </em>Tadeo Volunteered at the library six times as many hours over the weekend as Dylan, then;
x = 6y
Substitute x = 6y into 1;
6y + y = 14
7y = 14
y = 14/7
y = 2
Since x = 6y
x = 6(2)
x = 12
<em>Hence Tadeo Volunteered for 12 hours while Dylan volunteered for 2 hours</em>
f(x)= -2x-3
Step-by-step explanation:
Step 1:
Let the sequence given here is -5, -7, -9, -11, -13 ......
Here the first term (a₁) of sequence is -5
And the common difference between the numbers in the sequence is
d= (-7-(-5)) = -7+5 = -2
Let the number of terms be x
Step 2;
To find the sequence function basic arithmetic sequence formula is
aₙ = a₁ + d( x-1)
Applying the values we get
f(X) = -5 + ((-2)(X-1))
on simplification
f(X) = -5 + (-2X+2)
f(X)= -5+2-2X
f(X)= -3-2X