Answer:
3x²+8xy+4y²
Step-by-step explanation:
Opening brackets,
3x²+6xy+2xy+4y²
=3x²+8xy+4y²
Answer: If he has 3 mystery books, and those are 1/8 of his whole collection, he has 24 books.
Step-by-step explanation:
3 = 1/8 × x
multiply both sides by the reciprocal of 1/8 which is 8/1 ("flipped fraction")
8 × 3 = 8/1(1/8) x <em>When you multiply a fraction by its reciprocal, it produces 1, so it "cancels" in the multiplication</em>
<em>24 = x </em>
<em>This may seem complicated, but understanding the process will help you solve more complicated questions like this in the future, I hope.</em>
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Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)
Step-by-step explanation:
- Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm
Volume = πr²h = 3.14 × 4² × 9.5
= 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³
Step-by-step explanation:
a = 5
b= 9
a + 4b = ?
5 + 4×9 =
5 + 36 = 41
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
The exponential function is defined as y = a(1+r)^x, where "a" represents the original account and "r" the rate of growth or decay.
Then we have the following:
1) 22% grow
y = a( 1 + 22%/100 )^x = a(1.22)^x
So the solution is: 124(1.22)^x
2) 12% decay
y = a( 1 - 12%/100 )^x = a(0.88)^x
So the solution is: y = f(x) = 44(0.88)^x
3) 20% decay
y = a( 1 - 20%/100 )^x = a(0.8)^x
So the solution is: f(x) = 22(0.8)
4) 12% Groth
y = a( 1 + 12%/100 )^x = a(1.12)^x
So the solution is: f(x) = 42(1.12)^x
