2 years ago

Timed test please help

Mathematics

1 answer:

insens350 [35]2 years ago

8 0

Last option: − ∞ < y < 5

You might be interested in

kirk has 42 pieces of candy to divide evenly between his three children. if he puts the pieces into three boxes how many pieces

Gekata [30.6K]

14 pieces of candy in the box

8 0

2 years ago

Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are

$\{x,xr,xr^2,xr^3\}$

We want to have

$\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}$

In the second equation, we have

$xr^3-xr=xr(r^2-1)=36$

and in the first, we have

$xr^2-x=x(r^2-1)=12$

Substituting this into the second equation, we find

$xr(r^2-1)=12r=36\implies r=3$

So now we have

$\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32$

Then the four numbers are

$\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}$

4 0

2 years ago

Hey 20 points for the first person to show work and answer this

Harrizon [31]

Step-by-step explanation:

First, the pizza is 18 inches in diameter, so

$d = 18$

and, because the radium is half of the diameter,

$r = 9$

<u>Note that the units are inches.</u>

Using the equation

$a = \pi r ^{2}$

where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is

$a(s)= \frac{(\pi \times 9^{2})}{s}$