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4 years ago

11

Sally has three tiles each tile is has a different number on it so he puts the three tires down to make a number each number is

made of all 3 tiles how many different numbers can sally make

1 answer:

Juli2301 [7.4K]4 years ago

4 0

this would be equal to factorial 3 which is written 3! .

It is 3 * 2 * 1 = 6 numbers answer.

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In the expansion of (1/ax +2ax^2)^5 the coefficient of x is five. Find the value of the constant a.

DedPeter [7]

Answer:

80x⁴

Step-by-step explanation:

$(\frac{1}{ax} + 2ax^2)^5 = 5C_0(\frac{1}{ax})^5(2ax^2)^0 + 5C_1(\frac{1}{ax})^4(2ax^2)^1 + 5C_2(\frac{1}{ax})^3 (2ax^2)^2$

$+ 5C_3 (\frac{1}{ax})^2(2ax^2)^3 + 5C_4(\frac{1}{ax})^1(2ax^2)^4 + 5C_5(\frac{1}{ax})^0(2ax^2)^5$

$5C_0(\frac{1}{ax})^5(2ax^2)^0 =1 \times (\frac{1}{ax})^5 \times 1 = \frac{1}{a^5x^5}\\\\5C_1(\frac{1}{ax})^4(2ax^2)^1 = 5 \times (\frac{1}{ax})^4 \times (2ax^2)^1 = 10 ax^2 \times \frac{1}{a^4x^4} = \frac{10}{a^3x^2}\\\\5C_2 (\frac{1}{ax})^3 (2ax^2)^2= 10 \times (\frac{1}{ax})^3 \times (2ax^2)^2 = 10 \times \frac{1}{a^3x^3} \times 4a^2x^4 = \frac{40x}{a}\\\\5C_3 (\frac{1}{ax})^2 (2ax^2)^3 = 10 \times (\frac{1}{ax})^2 \times (2ax^2)^3 = 10 \times \frac{1}{a^2x^2} \times 8a^3 x^6 = 80ax^4\\\\$

$5C_4(\frac{1}{ax})^1(2ax^2)^4 = 5 \times \frac{1}{ax} \times 16a^4x^8 = 80a^3x^7\\\\5C_5(\frac{1}{ax})^0(2ax^2)^5 = 1 \times 1 \times 32a^5x^{10}$

The fourth term of the expansion has the constant a,

the coefficient of a is 80x⁴

6 0

3 years ago

SIS<br> 2log(x + 86) = 4<br> EE<br> S<br> -

mina [271]

Answer:I think your Answer would be x=14 but I am not sure.

Step-by-step explanation:

2log 10 (x+86)=4

Determine the defined

2log 10 (x+86)=4,x >-86

Divide both sides by 2

log 10 (x+86)=2

Solve by converting the logarithm into exponential form

x+86=10 2

Evaluate the power

x+86=100

Move constant to the right

x=100-86

Subtract the numbers

x=14,x>-86

Check if the solution is in the defined range

SOLUTION

X=14

4 0

3 years ago

tickets to a play cost $11 each. There is also a service charge of $4 per order. Write ab equation for the relationship that giv

abruzzese [7]

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4 years ago