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Answer: It is asking you to use methods that you've learned to prove that the x-inter and the y-inter of this "Function" or "Equation" have equal values.
Step-by-step explanation:
Answer: 2 feets
Step-by-step explanation:
Recommended density = 7 fish/ ft^3
If recommended density guideline is followed:
Number of fishes in aquarium = 42
Length of aquarium = 3ft
Width = 1ft
Height =?
Volume of aquarium = Length × width × height
Volume = 3 × 1 × h = (3ft^2 × h)
Therefore ;
If
1ft^3 = 7 fishes
x ft^3 = 42 fishes
Cross multiply
7(x)ft^3 = 42 fishes
x ft^3 = (42÷7)
x ft^3 = 6
Therefore volume of the aquarium with 42 fishes is 6ft^3
Volume = (3ft^2 × h)
6ft^3 = 3ft^2 × h
h = (6ft^3) / (3ft^2)
h = 2ft
Answer:
2. 4x³ - 2x² + 4y
3. (2x+3)(2x−5)² (To expand, it would be 8x³ - 28x² - 10x + 75)
Step-by-step explanation:
2.
(4x³ + 2y) - (2x² - 2y)
<em>Find the opposite of 2x² - 2y by finding the opposite of each term.</em>
4x³ + 2y - 2x² + 2y
<em>Add 2y and 2y to get 4y.</em>
4x³ - 2x² + 4y
3.
To simplify this expression, simply multiply 2x - 5 by itself to get (2x + 3)(2x - 5)².
I know this is extra, but I'll expand it out.
(2x + 3)(2x - 5)²
<em>Use binomial theorem (a−b)² =a²−2ab+b² to expand (2x−5)
²</em>
(2x + 3)(4x² - 20x + 25)
<em>Use the distributive property to multiply 2x + 3 by 4x² - 20x + 25.</em>
8x³ - 40x² + 50x + 12x² - 60x + 75
<em>Combine -40x² and 12x² to get -28x².</em>
8x³ - 28x² + 50x - 60x + 75
<em>Combine 50x and -60x to get -10x.</em>
8x³ - 28x² - 10x + 75
Answer:
$21.6
Step-by-step explanation:
Given data
Cost of Phone= $24
Discount= 10%
Let us find the amount of the discount
=10/100*24
=0.1*24
=$2.4
Hence the amount paid after the discount
=24-2.4
=$21.6