Answer:
Vertex: (5, -9)
Step-by-step explanation:
fix = (x-8)(x-2)
fix = x^2 - 2x - 8x + 16
fix = x^2 - 10x + 16
a = 1, b = -10, and c = 16
To find vertex:
x = -b/2a
x = -(-10)/2(1)
x = 10/2
x = 5
y = 5^2 - 10(5) + 16
y = 25 -50 + 16
y = -9
Vertex: (5, -9)
The 2 angles form a linear pair and angles that form a linear pair have a sum of 180 so
10x + 15 + 5x = 180
15 + 15x = 180
180 - 15 = 15x
165 = 15x
11 = x
Answer: -64
Step-by-step explanation:
Answer:
Total charge per month = $ 16 + (0.08) * x
equation for having same charge
0.08 x - 0.12 y = 8
Step-by-step explanation:
Part 1:
Monthly fee = $ 16
Per check fee = $ 0.08
Checks signed in month = x
Total Charge monthly = Monthly fee + Checks fee
Putting the values
Total charge per month = 16 + (0.08) * x ...........(i)
Part 2: Let she signs y checks for account B
Monthly fee of B = $ 14
per check fee = @ 0.12
Total Charge = monthly fee + checks fee
= $ 14 + y *(0.12) ..................(ii)
For having same value in the bank then equation (i) and (ii) shuld be equal to each other
i.e.
16 + 0.08x = 24 + 0.12y
0.08 x - 0.12 y = 24-16
0.08 x - 0.12 y = 8
this will be the equation
there are two pieces, both divided in 10 equal segments.
so each piece is 10/10, or namely 1 whole.
two pieces, 10/10 each, is 20/10 for the whole thing, but there are only 11 shaded, so if we take 20 to be the 100%, what is 11 off of it in percentage?
