Hello!
<em><u>Answer:</u></em>
<em><u>4 5/12</u></em>
<em><u>*The answer must have a whole number and a fraction.*</u></em>
Step-by-step explanation:
Lesson: Adding Fractions
First, you add by the whole number.

Then you combine by the fraction or number.


Next, you convert improper fraction into the mixed numbers.


And finally, add by the numbers.

Final answer: → 
Hope this helps!
Thanks!
Have a great day!
-Charlie
:)
:D
Answer:
3rd triangle can be constructed with dimensions 2,6,7.
Step-by-step explanation:
sum of any two sides > third side.
difference of any two sides < third side
1.
8+5=13 not >14 (no triangle.)
2.
7+8=15 not >15 (no triangle)
3.
2+6=8>7
2+7=9>6
7+6=13>2
7-2=5<6
7-6=1<2
6-2=4<7
so it is a triangle.
4.
6+3=9 not >10 (not a triangle)
Answer:
y = -2x^2(x - 3)
Step-by-step explanation:
<em><u>Preliminary Remark</u></em>
If a cubic is tangent to the x axis at 0,0
Then the equation must be related to y = a*x^2(x - h)
<em><u>(3,0)</u></em>
If the cubic goes through the point (3,0), then the equation will become
0 = a*3^2(3 - h)
0 = 9a (3 - h)
0 = 27a - 9ah
from which h = 3
<em><u>From the second point, we get</u></em>
4 = ax^2(x - 3)
4 = a(1)^2(1 - 3)
4 = a(-2)
a = 4 / - 2
a = -2
<em><u>Answer</u></em>
y = -2x^2(x - 3)
Answer:
16
Step-by-step explanation:
4 flavors
2 toppings
2 containers
4x 2= 8
8x2=16
3:5 because if you add the fractions together it is what you get so the 5 would be raisins and the 3 would be peanuts