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2 years ago

What is the 8th term of this geometric sequence? 3, 6, 12, 24, ...

Mathematics

1 answer:

kondor19780726 [428]2 years ago

8 0

For this seq An = 3×2^(n-1)

Thus 8th term = 3×2^7 = 384

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Craig went out to a restaurant for dinner. He tipped 16% of his bill, which brought the sum of the dinner bill plus the tip to $

alexira [117]

$22.50

You can get this by dividing the new total by 116%, which is how much of the bill was paid.

4 0

3 years ago

Can anybody help me with number 20....just number 20 plz?....thank u

MatroZZZ [7]

The property used in #20 was called 'the distributive property'.

This property gets rid of the parenthesis and also gets the expression more simple.

x(y+b)
x*y + x*b ⇔ Notice the change here?

Answer would be: Distributive property

6 0

3 years ago

What is the product?<br> (4y - 3)(2x(2)+ 3y-5)

aleksley [76]

Answer:

2 2

4y(2y +3y - 5) - 3(2y + 3y - 5)

3 2 2

=8y + 12y - 20y - 6y - 9y + 15

3 2

=8y + 6y - 29y + 15

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is a career that you can use for adding and subtracting fractions

xenn [34]

Answer:

A math teacher

Step-by-step explanation:

6 0

3 years ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

4 0

1 year ago