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3 years ago

Find the sum of 5x^3-3x^2+5 and -2x^3+6x^2-5

Mathematics

1 answer:

Rasek [7]3 years ago

5 0

$(5x^3-3x^2+5)+(-2x^3+6x^2-5)\\\\=(5x^3-2x^3)+(-3x^2+6x^2)+(5-5)\\\\=\boxed{3x^3+3x^2}$

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A carpenter has a piece of wood that is 10 yards long anda piece that is 5 feet long. how many feet of wood does the carpenter h

stellarik [79]

A piece of wood 10 yards long

and

A piece of wood 5 feet long

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5+10 = 15

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6 0

3 years ago

With a detailed explanation from the internet 1/(x-5)+3/(x+2)=4

irga5000 [103]

Answer:

$\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}$

Explanation:

$\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4$

make the denominators same

$\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4$

join the fractions together

$\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4$

cross multiply

$\rightarrow \sf x+2+3x-15=4(x-5)(x+2)$

simplify

$\rightarrow \sf 4x-13=4x^2-12x-40$

group the variables

$\rightarrow \sf 4x^2-16x-27 = 0$

use quadratic formula

$\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}$

simplify the following

$\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}$

7 0

2 years ago

Read 2 more answers

40 pts PLEASE HELP ILL GIVE BRAINLIESTS A. -3 B. -1/3 C. 1/3 D. 3

Licemer1 [7]

<h3>A is the answer EEEE</h3>

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3 years ago

Jonas is given a test question asking him to show that the sum of two odd integers is always an even integer. Which choice is th

VashaNatasha [74]

Answer:

Let (2a + 1) be one odd number, and let (2b + 1) be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is a multiple of 2, it is an even number.

Step-by-step explanation

When you multiply any number by two, it becomes even. Also, if you divide any number by two without a remainder, it is even. For this case

Let (2a + 1) be one odd number, and let (2b + 1) be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is a multiple of 2, it is an even number.

Substituting any odd number in a and b gives you an even number

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3 years ago

PLEASE HELP ME OUT AND MAKE SURE TO SHOW YOUR WORK!!!! PLEASEEEEE

madreJ [45]

Answer:

1. 15

2. 16

3. 46

4. 59

Step-by-step explanation:

1. 44+30=74, 89-74=15

2. 90-74=16

3. 180-134=46

4. angles like that are the same

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3 years ago

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