<h3>
<u>Explanation</u></h3>
- Factor the expression by using common factor.
We csn pull out 3x² out of the expression.
We simply pull out the x-term with lowest degree and 3 out of the expression. If another expression cannot be factored after first factoring then that's the final answer.
- The expression can still be factored. Factor the expression by using two brackets.
<h3>
<u>Answer</u></h3>
Solutions
There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs
Equation # 1
x + y = 86
This says that t<span>he vendor sold 86 items.
</span>Equation # 2
2x + 5y = 330
= $2 for each lemonade
= $5 for each hot dog.
= total amount earned is $330.
Only these two equations are true and needed.
Answer:
There will be 916 ants alive after 4 months.
Step-by-step explanation:
Step 1
Let's change the percentage to a decimal by dividing by a 100.
6.5% / 100 = .065
Step 2
So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.
1200 * .065 = 78
This means that after the first month, 1200 - 78 = 1122 ants will be alive.
Step 3
Now for the second month: 1122 * .065 = 72.93 (rounded to 73)
1122 - 73 = 1049 ants will be alive
Step 4
For the third month 1049 * .065 = 68.185 (rounded to 68)
1049 - 68 = 981 ants will be alive
Step 5
For the fourth month 981 * .065 = 63.765 (rounded to 64)
981 - 64 = 916 ants will be alive
Hope this helps!
Answer:
Sorry im not good at diameters
Step-by-step explanation:
hopefully this helps. since its divided by 2 x would be 4 and y would be 2.5
You can find the slope either by just looking at the line or using the slope formula.
#1: The slope formula is:
Find two points and plug it into the formula
I will use (0, 2) and (1, -1)
(0, 2) = (x₁, y₁)
(1, -1) = (x₂, y₂)
[two negatives cancel each other out and become positive]
m = -3
#2: To find the slope without having to do the work, you use this:
Rise is the number of units you go up(+) or down(-) from each point
Run is the number of units you go to the right from each point
If we start at a defined/obvious point, like (0, 2), find the next point and see how many units it goes up or down and to the right. The next point is (1, -1), so from each point, you go down 3 units and to the right 1 unit. So your slope is -3/1 or -3. You can make sure the slope is right by looking at another point.
