All categories

4 years ago

Help me with this please

Mathematics

1 answer:

timama [110]4 years ago

6 0

Answer:

$\large\boxed{(b)\ \dfrac{x+2}{x-3}}$

Step-by-step explanation:

$\dfrac{1}{x+1}+\dfrac{x}{x-3}-\dfrac{-x-5}{x^2-2x-3}=(*)\\\\x^2-2x-3=x^2-3x+x-3=x(x-3)+1(x-3)=(x-3)(x+1)\\\\(*)=\dfrac{1(x-3)}{(x+1)(x-3)}+\dfrac{x(x+1)}{(x+1)(x-3)}+\dfrac{-(-x-5)}{(x+1)(x-3)}\\\\=\dfrac{x-3+x^2+x+x+5}{(x+1)(x-3)}=\dfrac{x^2+(x+x+x)+(-3+5)}{(x+1)(x-3)}\\\\=\dfrac{x^2+3x+2}{(x+1)(x-3)}=\dfrac{x^2+2x+x+2}{(x+1)(x-3)}=\dfrac{x(x+2)+1(x+2)}{(x+1)(x-3)}\\\\=\dfrac{(x+2)(x+1)}{(x+1)(x-3)}\qquad\text{cancel (x + 1)}\\\\=\dfrac{x+2}{x-3}$

You might be interested in

If you place a 39-foot ladder against the top of a 34-foot building, how many feet will

netineya [11]

Answer: 19.1ft

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

HELP

Gekata [30.6K]

Answer:

Equation: y = 65x

Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.

Step-by-step explanation:

Pick any two points to find slope, let's got with (3, 195) and (4, 260):

slope m = (y₂- y₁) / (x₂ - x₁)

= (260 - 195) / (4 - 3)

= 65 / 1

m = 65

Find y-intercept by using m from above and another point from your table, let's go with (5, 325):

y = mx + b

325 = 65(5) + b

325 = 325 + b

b = 0

Use m and b to form equation of line:

y = mx + b

y = 65x + 0

y = 65x

Check:

point (3, 195): 195 = 65(3) ====> 195 = 195

point (4, 260): 260 = 65(4) ====> 260 = 260

point (5, 325): 325 = 65(5) ====> 325 = 325

point (6, 390): 390 = 65(6) ====> 390 = 390

Example of a point that doesn't belong on table:

point (8, 500): 500 = 65(8) ====> 500 ≠ 520

6 0

3 years ago

Read 2 more answers

Expand the following using either the Binomial Theorem You must show

n200080 [17]

<h2><u><em>Answer:</em></u></h2><h2><em>A Pascal triangle is the triangular way of expanding a binomial. So the best way in expanding that function is thru Binomial Theorem and the expanded for of it is 8x^3+48x^2+98x+64 </em></h2><h2><em></em></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><em>Before even trying to put this into the binomial form, we must figure out the coefficients. If we go by the Pascal's Triangles way we should end up with: </em></h2><h2><em> </em></h2><h2><em> 1 </em></h2><h2><em> </em></h2><h2><em> 1 1 </em></h2><h2><em> </em></h2><h2><em> 1 2 1 </em></h2><h2><em> </em></h2><h2><em>1 3 3 1 </em></h2><h2><em> </em></h2><h2><em>Going by the last level (which is the third level) we get 3C0:1, 3C1:3, 3C2:3, 3C3:1. </em></h2><h2><em> </em></h2><h2><em>Now with the equation: (a+b)^3 = 3C0a^3 + 3C1a^2 b + 3C2a b^2 + 3C3b^3 we just plug in all the values and simplify </em></h2><h2><em> </em></h2><h2><em>(2x+4)^3 = 2x^3 + 3(2x)^2 (4) + 3(2x) (4)^2 + (4)^3 </em></h2><h2><em> </em></h2><h2><em>(2x+4)^3 = 8x^3 + (3)(4x^2)(4) + (3)(2x)(16) + 64 </em></h2><h2><em> </em></h2><h2><em>Then we finally end with: (2x+4)^3 = 8x^3 48x^2 + 96x +64 </em></h2>

4 0

3 years ago

Need help :( plsssssssssss

salantis [7]

Answer:

The polygon is a triangle, and is not a regular polygon.

Step-by-step explanation:

The polygon is a triangle because of it's three sides. It's also a non regular polygon since it's no equilateral or equiangular.

4 0

3 years ago

I have 7hundreds blocks,5tens blocks,and 8ones blocks.I use my block to model two 3-digit numbers.What could My two numbers be?

Natali [406]

The number is 758 because there is 7 hundred blocks and 5 ten blocks and 8 one blocks which is 758

8 0

4 years ago