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3 years ago

This is just for fun!

Mathematics

1 answer:

bixtya [17]3 years ago

8 0

Addition or multiplication
add 2 or times 2

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Find the coefficient of the 4th term in expansion of (x +2 )^5

LuckyWell [14K]

$(x + 2)^5=(x+2)^2\cdot{(x+2)^2}\cdot{(x+2)}\\\\(x+2)^5=(x^2+4x+4)\cdot{(x^2+4x+4)}\cdot(x+2)$

$(x+2)^5=(x^4+8x^3+24x^2+32x+16)\cdot(x+2)$

$(x+2)^5=x^5+10x^4+40x^3+80x^2+80x+32$

10

6 0

3 years ago

A 7 kg ham costs $19/kg. Find the cost per pound.

stepan [7]

Answer: $\$8.62/\text{Pound}$

Step-by-step explanation:

Given

There is $7\ kg$ of ham available which costs

cost $=\$\ 19/kg$

i.e.

$1\ kg\ \text{costs}\ \$19$

and we know

$1\ kg=2.204\ \text{pound}$

So, $2.204\ \text{Pound costs}\ \$19$

thus $1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}$

4 0

3 years ago

Which can be the first step in finding the equation of the line that passes through the points (5, -4) and (-1, 8) in slope-inte

abruzzese [7]

Answer:

y = -2x + 6

Step-by-step explanation:

Slope = (-4 - 8)/(5 + 1)

= -12/6

= -2

Equation

y - 8 = -2(x + 1)

y - 8 = -2x - 2

y = -2x + 6 <-----------slope-intercept form

7 0

3 years ago

A bottle holds 64 fluid ounces of lemonade. How much is this in pints?

myrzilka [38]

Answer:

there are 4 pints

Step-by-step explanation:

64 / 16 = 4

4 0

3 years ago

3. Solve the inequality –2(z + 5) + 20 > 6.

12345 [234]

$\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

Solution:

Given inequality is:

$-2(z+5)+20>6$

We have to solve the given inequality

$-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14$

$Multiply\ both\ sides\ by\ -1\ \left(reverse\:the\:inequality\right)$

Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

$\left(-2\left(z+5\right)\right)\left(-1\right)$

Thus the solution to inequality is:

$-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

4 0

3 years ago