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Liula [17]
3 years ago
13

when (2x - 3)^2 is subtracted from 5x^2, what is the result? And how can I show the answer? Thank you x

Mathematics
2 answers:
Leni [432]3 years ago
3 0
5x^2 - (2x - 3)^2 = 
5x^2 - ((2x - 3)(2x - 3)) =
5x^2 - (4x^2 - 6x - 6x + 9) =
5x^2 - (4x^2 - 12x + 9) =
5x^2 - 4x^2 + 12x - 9 =
x^2 + 12x - 9 <===
sladkih [1.3K]3 years ago
3 0
First expand (2x-3)^2
(2x-3)(2x-3)=(2x-3)(2x)+(2x-3)(-3)=4x²-6x-6x+9=4x²-12x+9

so
5x²-(4x²-12x+9)=5x²-4x²+12x-9=x²+12x-9
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Answer:

your answer is b

Step-by-step explanation:


3 0
3 years ago
F(x) = 5x2 – 20x + 26<br> In vertex form
mihalych1998 [28]

Answer:

f(x)=5(x-2)^{2}+6

Step-by-step explanation:

we have

f(x)=5x^{2} -20x+26

This is the equation of a vertical parabola open upward

The vertex is a minimum

The equation of a vertical parabola in vertex form is equal to

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

where

(h,k) is the vertex

Convert the given function to vertex form

Factor the leading coefficient

f(x)=5(x^{2} -4x)+26

Complete the square

f(x)=5(x^{2} -4x+4)+26-20

f(x)=5(x^{2} -4x+4)+6

Rewrite as perfect squares

f(x)=5(x-2)^{2}+6 ------> equation in vertex form

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6 0
3 years ago
Is 16 ponds greater than 16 oz
svetoff [14.1K]

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Yes. Ponds can have gallons of water. 16 oz could be the weight of a loaf of bread.

5 0
3 years ago
Can someone please explain how I would figure this out
skad [1K]
[1], [3] => a = 49,000/2 = 24,500 => b +c = 24,500 => c = 24,500 - b;
[2] => 25*24,500 + 20b + 15c = 1,052,000 => 20b + 15c = 1,027,500;
20b + 15*(24,500 - b) = 1,027,500 => 5b = 733,500 => b = 146,700 =>
c = - 122,200;
5 0
3 years ago
What is the surface area of the regular pyramid given below?
yuradex [85]

For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:

SA = \frac {1} {2} p * S + A_ {b}

Where:

p: It is the perimeter of the base

S: It's the inclination

A_ {b}: It is the area of the base

Substituting:

A_ {b} = 7 ^ 2 = 49units ^ 2\\p = 7 + 7 + 7 + 7 = 28units\\S = 10units\\SA = \frac {1} {2} 28 * 10 + 49\\SA = 140 + 49\\SA = 189 \ units ^ 2

ANswer:

Option B

3 0
3 years ago
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