Solve the system by substitution. y = 4x + 22 y = -7x
2 answers:
Answer:
,
Step-by-step explanation:
If two items or expressions are equal to the same subject then they are equal to each other,
y = 4x + 22 and y = -7x
Using the statement at the top
<em>Subtract -7x from both sides to collect the x terms</em>
<em>Minus 22 from both sides to isolate 11x</em>
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<em>Divide both sides by 11 to isolate x</em>
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<em>Substitute x = -2 into y = -7x</em>
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So the solution is and
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Answer:
Step-by-step explanation:
Red:black = 1:1
Red cards = x
Black cards =x
x + x = 48
2x = 48
x = 48/2
x = 24
No. of red cards = 24
No of black cards = 24
Now 8 red cards are removed
So, No. of red cards = 24 - 8 =16
Red: Black = 16:24
Red: Black = 2:3
Answer:
First term a₁ = 3/2 and common ratio r = 2
Step-by-step explanation:
We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96
Since common ratio is required so, the sequence is geometric sequence
The formula used is:
We are given: third term = 6 i,e
Seventh term = 96
Dividing eq(2) and eq(3)
So, Common Ratio r = 2
Finding First term using eq(1)
So, First term a₁ = 3/2 and common ratio r = 2
Answer: The required product is
Step-by-step explanation: We are to find the product f the following two algebraic expressions:
To find the product of the above two expressions, we must multiply each term of the first expression with each term of the second expression.
The multiplication is as follows:
Thus, the required product is