Answer:
Step-by-step explanation:
*View the attached file*
Hope this helps!
Answer:They intercept each other on one point
Step-by-step explanation:
Answer:
<em>She need </em><em>72 </em><em>index cards.</em>
Step-by-step explanation:
Ms. James has a 6 square foot bulletin board and a 12 square food bulletin board and she wants to cover both boards with index cards without gaps or overlaps.
Each index card has an area of
square foot.
Dividing the area of each board with the area of the index card will yield the the number of cards she needs to cover up completely.
Let us assume T₁ and T₂ are the number of cards she needs to cover 6 square feet food bulletin board and 12 square feet food bulletin board respectively. So
![T_1=\dfrac{6}{\frac{1}{4}}=24,\\\\T_2=\dfrac{12}{\frac{1}{4}}=48](https://tex.z-dn.net/?f=T_1%3D%5Cdfrac%7B6%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D24%2C%5C%5C%5C%5CT_2%3D%5Cdfrac%7B12%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D48)
Therefore, in total she need 24+48=72 index cards.
If by decomposition you mean breaking it ino parts then
break it itno 2 triangles and 1 rectangle
left to right
triangle with base y and height h
h=10
y=3
area of traignel=1/2bh
aera=1/2(10)(3)
area=5(3)
area=15
rectangel of legnth x and height h
area=legnth timwe width
x=8
h=10
area=8 times 10
aera=80
last triangle
should be same as other sinces same base (y) and same height (h)
15
add
15+80+15=120
Answer:
Step-by-step explanation:
Hello,
<em>"Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only."</em>
We know that Kelsey is right, a polynomial of degree 3 has maximum 3 zeroes, so it means that the graph of this polynomial has maximum 3 x-intercepts.
<u>So how Ray can be right too?</u>
we need to think of y-intercept, if we add the y-intercept then Ray can be right too,
as you can see in one example below
there are 3 x-intercepts and 1 y-intercept.
This being said, Ray is not always right. For instance ![x^3](https://tex.z-dn.net/?f=x%5E3)
has only 1 zero (multiplicity 3) its graph has only 1 intercept in the point (0,0)
hope this helps