Answer:
Length = 21
Width = 16
Step-by-step explanation:
We know that the formula for perimeter is:
P=2W+2L
And we also know that:
L=W+5
So then we put all that we know in the formula:
74=2W+2(W+5)
Now we expand the brackets and do some algebra:
74=4W+10 (-10)
64=4W (÷4)
16=W
Now that we know the width we can pop that into the length equation:
L=16+5
L=21
The inverse for function of f ⬇️
Answer:
Dimes = x = 52
Nickels = y = 39
Step-by-step explanation:
Let
Dimes = x
Nickels = y
x + y = 91 (1)
0.10x + 0.05y = 7.15 (2)
From (1)
x = 91 - y
Substitute x = 91 - y into (2)
0.10x + 0.05y = 7.15
0.10(91 - y) + 0.05y = 7.15
9.10 - 0.10y + 0.05y = 7.15
- 0.10y + 0.05y = 7.15 - 9.10
-0.05y = -1.95
y = -1.95 / 0.05
= 39
Substitute y = 39 into (1)
x + y = 91
x + 39 = 91
x = 91 - 39
x = 52
Dimes = x = 52
Nickels = y = 39
Isolate the x. Subtract 4x from both sides, and add 2 to both sides
2x (-4x) - 2 (+2) > 4x (-4x) + 6 (+2)
2x - 4x > 6 + 2
Simplify. Combine like terms
-2x > 8
Isolate the x. Divide -2 from both sides. Note that you are <em>dividing a negative number</em>. When doing so, flip the sign.
-2x/-2 > 8/-2
x > 8/-2
x < -4
x < -4, or (1) is your answer
hope this helps
Answer:
t2=15
t3=28
t4=41
first term (a)=2
common difference (d)=13
General terms tn=a+(n-1)d
