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Tanya [424]
3 years ago
10

Given y=(2x+3)2, choose the standard form of the given quadratic equation

Mathematics
2 answers:
Naddika [18.5K]3 years ago
6 0

Rewrite using the formula for the standard form

The answer is y-4x^2 + 12x + 9

Kisachek [45]3 years ago
4 0

Answer: y-4x^{2} +12x+9=0

Step-by-step explanation:  the standard form of a quadratic equation can be writen in the form: ax2 + bx + c = 0. To transform the given equation into the standard form, we need to solve it:

y=(2x+3)^{2}

y=4x^{2} +2*2x*3+3^{2}

y=4x^{2} +12x+9

no we reorganize it, and equal it to zero:

y-4x^{2} +12x+9=0

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3, 4, -7

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8 0
2 years ago
A line contains the points (3, 2) and (–1, –6). What is the slope of a line that is parallel to this line?
Maru [420]
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3 0
3 years ago
Find the roots of the equation: y=4(X+4)^2 -12
Dafna1 [17]
0=4(x²+8x+16)-12
0=4x²+32x+64-12
0=4x²+32x+52
0=x²+8x+13
D=b²-4ac
D=64-52=12
x=(-b-√D)/2a
x=(-b+√D)/2a
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3 0
3 years ago
Helpppppppppppppppppp
Anuta_ua [19.1K]

Option A:

\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} -  8 x^{6}-10 x^{5}

Solution:

Given expression \left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right).

To find the product of the above expression:

\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)

First multiply first two factors with each term.

           =(x^{4} \times 3 x^{3}- x^{4} \times 2 ) \left(4 x^{2}+5 x\right)

Using exponent rule: a^m \cdot a^n=a^{m+n}

            =(3 x^{7}- 2x^{4} ) \left(4 x^{2}+5 x\right)

Now multiply these two factors with each term.

            =3 x^{7} (4 x^{2}+5 x)- 2x^{4} \left(4 x^{2}+5 x\right)

            =(4 x^{2} \times 3 x^{7} +5 x \times 3 x^{7} )-  \left(4 x^{2} \times 2x^{4}+5 x \times 2x^{4}\right)

Using exponent rule: a^m \cdot a^n=a^{m+n}

            =(12 x^{9} +15 x^{8} )-  (8 x^{6}+10 x^{5})

           =12 x^{9} +15 x^{8} -  8 x^{6}-10 x^{5}

\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} -  8 x^{6}-10 x^{5}

Hence option A is the correct answer.

4 0
3 years ago
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