Answer:
the answer is A and D
Step-by-step explanation:
Answer:
Step-by-step explanation:
You would substitute "2x" for every "x" in the function in the same way you would substitute any other number.
So if f(x)=Sqrt[7x²-3x], then: f(2x)=Sqrt[7(2x)²-3(2x)]
=Sqrt[7(4x²)-3(2x)]
=Sqrt[28x²-6x]
Answer:
3rd answer
Step-by-step explanation:
If you look at the translation, each point is moved 6 to the right on the X axis, and down 4 on the y- axis. so, therefore it should be (6,-4)
The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Consider the expression,
(-5cd - 4)( 2cd²)²
Now let x = (-5cd - 4)( 2cd²)²,
Then,
x = (-5cd - 4)( 2cd²)²
x = ( - 5cd -4 ) × (2c)² × (d²)²
x = ( - 5cd - 4) × ( 4c² ) × d⁴
x = ( -5cd - 4 ) × 4c²d⁴
Using the distributive property,
x = ( - 5cd ) × ( 4c²d⁴ ) - 4 × 4c²d⁴
x = - 20 × c³ × d⁵ - 16 × c²d⁴
x = - 20c³d⁵ - 16c²d⁴
Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
Learn more about equivalent expression here:
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Let s = the smaller one of the two.
Since they are consecutive, the second one is (s + 1)
Since they are natural numbers, they cannot be negative.
We know that s(s + 1) = s + (s + 1) + 155
So:
s(s + 1) = 2s + 156
s^2 + s = 2s + 156
s^2 - s - 156 = 0
(s - 13)(s + 12) = 0
From this, it looks like s can be either 13 or -12. But since it's a natural number, it cannot be negative. So, it is 13.
s was the smaller one. The larger one is s + 1 = 14
Check: 13*14=182=13+14+155
