Answer:
2.
3.
Step-by-step explanation:
<em>In general we can write a polynomial in standard form as </em>
<em>Given</em>
<em>Combine the like terms: 4m and -4m</em>
<em>4m-4m=0</em>
<em>We have 4m-4m=0</em>
<em>So, write the remaining terms</em>
=
<em>This is in decreasing order of powers.</em>
<em>Hence the answer is the standard form is</em>
<em>But in the given options, you can choose option 2 and option 3 are in standard form.</em>
<em>Because they are in decreasing order of powers.</em>
<em>In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.</em>
<em>-2m^4-6m^2+4m+9</em>
<em>-2m^4-6m^2-4m+9</em>
<em>I hope this helps you.</em>
<em>And please comment if I need to do corrections.</em>
<em>Please let me know if you have any questions.</em>
Answer:
7.07 units
Step-by-step explanation:
Use the Pythagorean theorem for the right triangle:
If a = x, b = x, and c = 10, then
Answer:
2 units. Hope this helps!
Answer:
x intercept is x=3
y intercept is y=-3
Step-by-step explanation:
We can write this equation in a simpler way to find the values needed. Lets do it. Take:
x-y=3
And sum y in both sides, as we know the equality will maintain:
x-y+y=3+y
x = 3+ y
Now subtract 3 in both sides:
x-3 = y+3-3
x-3=y
So, we can rewrite our equation as y=x-3
The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:
x-3 = 0
If we sum 3 in both sides:
x-3+3=3
x=3
So, x=3 is x intercept
For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:
0-3=y
y=-3
Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.
Answer:
<em>$83.69</em>
Step-by-step explanation:
Given the following
Initial Cost of the brunch = $72.80
Percentage tip = 15%
Tip paid = 15% of $72.60
Tip paid = 0.15 * 72.60
Tip paid = $10.89
Total cost of brunch = $72.80 + $10.89
Total cost of brunch = $83.69
<em>Hence the total cost of her brunch is $83.69</em>