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Ivenika [448]
3 years ago
7

(5a-2)(5a+2)-3(1-a)-3a=

Mathematics
2 answers:
attashe74 [19]3 years ago
8 0
So first we need to know the order of operations
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction

Then the special cases:
(I have attached a picture below)

Lets get into action!
(5a - 2)(5a + 2) - 3( 1 - a ) - 3a 
25a² - 4 - 3 + 3a - 3a 
25a² - 7 
25a² - 7 is the answer


o-na [289]3 years ago
5 0
Hi There! :)

(5a-2)(5a+2)-3(1-a)-3a=25a2−<span>7

Therefore answer is </span>25a2−<span>7</span>
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Answer:

A)<em> g(x) </em>has a greater absolute maximum.

Step-by-step explanation:

Given graph of g(x) which is a Parabola

1. Opens downwards

2. The absolute maximum (vertex) is at around (3.5, 6)

i.e. value of absolute maximum is 6.

Another function:

f(x) =-x^{2}+4x-5

Let us convert it to vertex form to find its vertex.

Taking - sign common:

f(x) =-(x^{2}-4x+5)

Now, let us try to make it a whole square,

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f(x) =-(x^{2}-4x+4+1)\\\Rightarrow f(x) =-((x^{2}-2 \times 2\times x+2^2)+1)\\\Rightarrow f(x) =-((x-2)^{2}+1)\\\Rightarrow f(x) =-(x-2)^{2}-1

Please refer to attached graph of f(x).

We know that, vertex form of a parabola is given as:

f (x) = a(x - h)^2 + k

Comparing the equations we get:

a = -1 (Negative value of <em>a</em> means the parabola opens downwards)

h = 2, k = -1

Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1

and

Vertex of g(x) is at (3.5, 6)

i.e. value of absolute maximum is 6.

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