Answer:
x = -3 ±3sqrt(3)
Step-by-step explanation:
3(x+3)^2-81=0
Add 81 to each side
3(x+3)^2=81
Divide each side by 3
3/3(x+3)^2=81/3
(x+3)^2=27
Take the square root of each side
sqrt ((x+3)^2)=±sqrt(27)
x+3 =±sqrt(9*3)
x+3 =±sqrt(9)*sqrt(3)
x+3 =±3sqrt(3)
Subtract 3 from each side
x = -3 ±3sqrt(3)
Answer: -4
Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.
The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.
To compare, think of the ratios as a fraction. so it is 32 slices per $7.99.
You can also say $7.99 per 32 slices.
so it can be ̲7̲.̲9̲9̲ ̲ or the other way around.
32
To find the unit price, or the price of 1 item, you have to divide the price by the amount.
So 7.99 divided by 32 is <span>0.249687, but we don't have thousandths of a cent, so we round to the hundredth.
$0.25 is the unit price, or the price of 1 toast, rounded to the nearest cent.
So let's try another one, this time we have 2 different rates, and we will compare them.
So let's say we are buying cheese. Store A sells 12 blocks of cheese for $14.99, and Store B sells 20 blocks for $23.99.
So first we have to find the unit rate for each.
Store A Store B
14.99 per 12 23.99 per 20
</span> ̲1̲4̲.̲9̲9̲ ̲ ̲2̲3̲.̲9̲9̲ ̲<span>
12 20
14.99 / 12 is </span>1.24916 23.99 / 20 is <span>1.1995</span>
<span>$1.25, if rounded to the cent. $1.20, if rounded to the cent
</span>1 block is $1.25 in Store A. 1 block is $1.20 in Store B
Store B sells for cheaper.
Hope that helps.
Answer:
C
Step-by-step explanation:
write an equation for the costs:
if x is the number of sodas
and y is the number of waters
2.75x + 2y <= 15
(<= is less than or equal to)
if we substitute 3 for y
we get 2.75x + 2(3) <= 15
2.75x + 6 <= 15
2.75x <= 9
9 / 2.75 = 3.2727
however, you cannot buy part of a soda
so, round to 3
you also cannot buy negative sodas
so, the answer is C
