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3 years ago

Multiply x^2+5•x^3+7 I’m getting x^5+5x^3+7x^2+35 But I’m not sure if I’m right

Mathematics

1 answer:

user100 [1]3 years ago

6 0

Answer:

x⁵ + 5x³ + 7x² + 35

Step-by-step explanation:

(x² + 5) (x³ + 7)

To distribute binomials (expressions with two terms), you can use the FOIL method (First, Outer, Inner, Last):

x⁵ + 7x² + 5x³ + 35

To put into standard form, rearrange from highest power to lowest power:

x⁵ + 5x³ + 7x² + 35

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3 years ago

Ill Mark Brainliest if you answer correctly. The figure below shows a shaded circular region inside a larger circle:

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First we have to find the areas of both circle using the formula

$Area = \pi r^2$

For larger circle,

$Area= \pi(5)^2 = 25 \pi$

For smaller circle,

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3 years ago

Enter the correct unit of measurement to complete the conversion. 100 liters = 1 what?

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3 years ago

Please could you explain this step by step I’m really stuck.

allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

$\frac{5}{x + 3} + \frac4{x + 2} = 2$
$5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)$
$5 + \frac{4x + 12}{x + 2} = 2x + 6$
$5(x + 2) +4x + 12 = (2x + 6)(x + 2)$
$5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12$
$9x + 22 = 2x^2 + 10x + 12$

Let's make one side equal to 0.

$0 = 2x^2 + x - 10$

Solve by factoring, and then the zero product property.

$0 = 2x^2 + x - 10\\$

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, $ax^2 + bx + c$ , think two numbers that equal "ac" and add up to "b".

$0 = 2x^2 - 4x + 5x - 10$
$0 = 2x(x - 2) + 5(x - 2)$
$0 = (2x + 5)(x - 2)$

Using the zero product property, set each factor to 0 and solve for x.

2x + 5 = 0
2x = -5
x = -5/2 = -2.5
x - 2 = 0
x = 2

The two answers are x = -2.5, and x = 2.

3 0

2 years ago

Read 2 more answers