Answer:
4 12
3 18
5 20
7 42
5 15
Step-by-step explanation:
all of the above form a proportion
5x+4y = 73
-4x + 4y = -8
5x + 4y -(-4x+4y) = 73 -(-8)
5x + 4y + 4x - 4y = 81
5x + 4x + 4y - 4y = 81
9x = 81
x = 81÷9
x = 9
Substitute x = 9 into any of the equations to find y.
5(9) + 4y = 73
45 + 4y = 73
4y = 73 - 45
4y = 28
y = 28÷4
y=7
Answers :
x = 9
y = 7
(b). → Simplify: [{5^(x-+1) + 5^x}/{6×5^x}]
= [{5^(x+1+x)}/{6×5^x}]
= [{5^(2x+1)}/{6×5^x}]
= [{5^(2x+1)}/{6×5^x}]
= [{5^(2x+1-x)}/6]
= [{5^(x+1)}/6]Ans.
(c). 4a³b²
= 4(3)³(-2)²
Since, a = 3 and b = -2.
so,
= 4(3*3*3)(-2*-2)
= 4(27)(4)
= 108(4)
= 432Ans.
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Answer:
B.
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = 8x + 4
<u>Step 2: Prep</u>
- Rewrite: y = 8x + 4
- Swap <em>x</em> and <em>y</em>: x = 8y + 4
<u>Step 3: Find Inverse (Solve for </u><em><u>y</u></em><u>)</u>
- Subtract 4 on both sides: x - 4 = 8y
- Divide both sides by 8: (x - 4)/8 = y
- Rewrite: y = (x - 4)/8
- Rewrite: f⁻¹(x) = (x - 4)/8