Answer:
B
Step-by-step explanation:
Edge 2021
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents
70 = 8b + 15c
he made a total of 7 copies
b + c = 7
system of equation:
70 = 8b + 15c
b + c = 7
--------------------------
b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c
plug in 7 - c for b
70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)
70 = 56 - 8c + 15c
Simplify like terms
70 = 56 - 8c + 15c
70 = 56 + 7c
Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides
70 (-56) = 56 (-56) + 7c
14 = 7c
divide 7 from both sides to isolate the c
14 = 7c
14/7 = 7c/7
c = 14/7
c = 2
c = 2
---------------
Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5
Jake made 5 black-and-white copies, and 2 color copies
hope this helps
The given expression, 81a^6 - 100, is a difference of two squares. The first term 81a^6 is a square of 9a³. The second term, 100, is a square of 10. The factors of the given expression is therefore, (9a³ - 10) x (9a³ + 10).
Answer:
C: x = 7
Step-by-step explanation:
The easiest way to do this is to simply try all of the x-vales given as options.
Option 1: x = -1
Since
, we'll use the first equation.

As we can see, g(-1) is not -4.
Option 2: x = 3
Since
, we'll use the 2nd equation.

Not -4.
Option 3: x = 7
Since
, we'll use the 3rd equation.

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:
Option 4: x = 4
Since
(less than <em>or equal to</em>), we'll use the 3rd equation.

⇒Δ=6^2+4*72= 36+288=324
V324=18
x1= ( -6+18)/2=6
x2= (-6-18)/2=-24/2=-12
⇒ x1= 6
x2= - 12