Answer:
7 is not a solution for x.
Step-by-step explanation:
To see if 7 is a solution for x, we will simply plug in the value for x and see if the left hand side is equal to the right hand side.
3x + 8 - x = 57 - 4
3(7) + 8 - (7) ?= 57 - 4
21 + 8 - 7 ?= 53
29 - 7 ?= 53
22 ?= 53 (( NO ))
Since 22 does not equal 53, 7 is not a solution for x.
Let's find the solution for x:
3x + 8 - x = 57 - 4
2x + 8 = 53
2x = 45
x = 22.5
Let's validate this solution for x:
3x + 8 - (x) = 57 - 4
3(22.5) + 8 - (22.5) ?= 57 - 4
67.5 + 8 - 22.5 ?= 53
45 + 8 ?= 53
53 == 53 (( YES ))
Since 53 is indeed equal to 53, then 22.5 is a solution for x.
Cheers.
Answer:
See explanation
Step-by-step explanation:
A box contains 2 blue cards numbered 1 through 2. Let them be named B1 and B2. This box also contains 3 green cards numbered 1 through 3. Let them be named G1, G2 and G3.
The sample space of picking a blue card followed by a green card is
B1, G1
B1, G2
B1, G3
B2, G1
B2, G2
B2, G3
So, there are 6 different outcomes in this sample space.
Answer:
f(x) = 300,000(1.05)^x
Step-by-step explanation:
Use the exponential growth equation:
f(x) = a(1 + r)^x
Plug in 300,000 as a, since it is the original population:
f(x) = 300,000(1 + r)^x
The city's population is growing at 5% each year, so plug in 0.05 as r:
f(x) = 300,000(1 + 0.05)^x
f(x) = 300,000(1.05)^x
So, the function for the population growth is f(x) = 300,000(1.05)^x
Answer:
Identity property
Step-by-step explanation:
Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.
I hope it's helpful!
