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Hoochie [10]
2 years ago
8

Solve 12^x^2+5x-4 = 12^2x+6

Mathematics
2 answers:
faust18 [17]2 years ago
6 0

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

                    12^{x^{2}+5 x-4}=12^{2 x+6}

Since the base on both sides as ‘12’ are the same, we can write it as

                     x^{2}+5 x-4=2 x+6

                     x^{2}+5 x-2 x-4-6=0

                     x^{2}+3 x-10=0

Often, the value of x is easiest to solve by a x^{2}+b x+c=0 by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For a x^{2}+b x+c=0, the values of x which are the solutions of the equation are given by:

                       x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Where, a = 1, b = 3 and c = -10

                       x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}

                       x=\frac{-3 \pm \sqrt{9+40}}{2}

                       x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}

So, the solutions for ‘x’ are

                       x=\frac{-3+7}{2}=\frac{4}{2}=2

                       x=\frac{-3-7}{2}=\frac{-10}{2}=-5

The solutions for ‘x’ are 2 and -5

Effectus [21]2 years ago
5 0

Answer:

answer is C

Step-by-step explanation:

just took the quiz on ed:)

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Which expressions are equivalent to the given expression.<br> y^-8y^3x^0x^-2​
vesna_86 [32]

y^{-8} y^3 x^0 x^{-2} is equivalent to y ^{-5} x ^{-2}\\.

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

y^{-8} y^3 x^0 x^{-2}

Simplify

y^{-8} y^3 x^0 x^{-2}\\\\y ^{-8+3} x ^{0-2}\\ \\y ^{-5} x ^{-2}\\

Hence, y^{-8} y^3 x^0 x^{-2} is equivalent to y ^{-5} x ^{-2}\\.

Learn more about an expression here:

brainly.com/question/1249625

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8 0
2 years ago
What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the r
12345 [234]

Answer:

the volume of the solid is \frac{\pi }{120}

Step-by-step explanation:

Given the data in the question;

y = x and y = x²

so

x = x²

x - x² = 0

Radius will be; r = ( x - x² )/2

Area of the circular disk πr² = π[ ( x - x² )/2 ]²

A = \frac{\pi }{4}( x - x² )²

So, our volume will be;

V = ₀∫¹ A(x) dx

we substitute

= ₀∫¹ \frac{\pi }{4}( x - x² )² dx        

{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³  }

so we have;

=  ₀∫¹ \frac{\pi }{4}( x² + x⁴ - 2x³ ) dx  

= \frac{\pi }{4} [ \frac{x^3}{3} + \frac{x^5}{5} - \frac{2}{4} x^4 ]^1_0

= \frac{\pi }{4}[ \frac{1}{3} + \frac{1}{5} - \frac{2}{4} ]

= \frac{\pi }{4}[ \frac{1}{30} ]

V = \frac{\pi }{120}

Therefore, the volume of the solid is \frac{\pi }{120}

6 0
2 years ago
Help me with this question
timama [110]

Answer:

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Step-by-step explanation:

5*3=15

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ivolga24 [154]

Answer:

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Step-by-step explanation:

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3 years ago
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nadezda [96]

Answer:

when u multiple it it us 100 but when I added it was 21

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