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3 years ago

I need help with this math problem please

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

65 -3x = 55 -2.5x
20 periods
$5

Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

55 -2.5x

The equation that can be used to find x that makes the values equal is ...

65 -3x = 55 -2.5x

The solution can be found by adding 3x-55 to both sides of this equation.

10 = 0.5x

Multiplying by 2 gives ...

20 = x

After 20 30-day periods. the cards will have the same value.

The value after 20 periods is ...

65 -3×20 = 65 -60 = 5

Both cards will have a value of $5 when they have the same value.

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Given:

$1. -3 x^{2}\left(4 x^{3}-7\right)\\$2. $(6 x-5)(2 x+3)$\\3. $(3 x-1)\left(x^{2}+5 x-2\right)$$

To find:

The product of the polynomials.

Solution:

1. $-3 x^{2}\left(4 x^{3}-7\right)$ $=-3 x^{2}(4 x^{3}) -3 x^{2}(-7)$

Multiply the numerical coefficient and add the powers of x.

$=-12 x^{5}+21 x^{2}$

2. $(6 x-5)(2 x+3)=6 x(2 x+3)-5(2x+3)$

Multiply each term of first polynomial with each term of 2nd polynomial.

Multiply the numerical coefficient and add the powers of x.

$=12 x^2+18x-10 x-15$

$=12 x^2+8x-15$

3. $(3 x-1)\left(x^{2}+5 x-2\right)=3 x(x^{2}+5 x-2)-1(x^{2}+5 x-2)$

Multiply each term of first polynomial with each term of 2nd polynomial.

Multiply the numerical coefficient and add the powers of x.

$=3x^{3}+15 x^2-6x-x^{2}-5 x+2$

Add or subtract like terms together.

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The answer for multiplying polynomials:

$1. -12 x^{5}+21 x^{2}$

$2. \ 12 x^2+8x-15$

$3. \ 3x^{3}+14 x^2-11x+2$

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