Answer:
Below.
Step-by-step explanation:
y + 2 > -3(x + 1)
y + 2 > -3x - 3
y > -3x - 5
The graph will be the graph of the line y = -3x - 5 (dotted line), with the area above the line shaded.
Answer:
$1200
Step-by-step explanation:
12,000*(-90%)
12,000*(.1)=1200
Answer:
The system is:
x + y = 8
x - y = -14
And the solution is:
x = -3
y = 11
Step-by-step explanation:
We have two numbers x and y, such that:
x + y = 8 (the sum is equal to 8)
x - y = -14 (the difference is equal to -14)
This is the system of equations we need to solve.
To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:
x = 8 - y
Now we can replace this in the other equation to get:
(8 - y) - y = -14
8 - 2*y = -14
8 + 14 = 2*y
22 = 2*y
22/2 = y
11 = y
Now we can replace this in the equation "x = 8 - y"
To get:
x = 8 - 11 = -3
Then the solution to the system is:
x = -3 and y = 11
Answer:
LCM: 60
HCF: 10
Step-by-step explanation:
Listing Multiples
LCM:
Multiples of 20:
20, 40, 60, 80, 100
Multiples of 30:
30, 60, 90, 120
Therefore,
LCM(20, 30) = 60
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Factorization
HCF:
The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 10
Answer:
Exact form: 21/10
Decimal form: 2.1
Mixed Number form: 2 1/10
Step-by-step explanation:
Reduce the expression if possible, do so by canceling out the common factors.
