Answer:
The number of roots for equation
is 4 .
Step-by-step explanation:
Here, the given function polynomial is :

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).
Now here, the degree if the polynomial is 4 (highest power of variable x).
So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.
Hence, the number of roots for equation
is 4 .
Answer:
Damian here! (ノ◕ヮ◕)ノ*:・゚✧
Step-by-step explanation:
-5/9 is the answer
-5/9 > -7/12
Hope this helps? :))
Answer:
a) k = 5; (-10, -35)
Step-by-step explanation:
Given:
Co-ordinates:
Pre-Image = (-12,3)
After dilation
Image = (-60,15)
The dilation about the origin can be given as :
Pre-Image
where
represents the scalar factor.
We can find value of
for the given co-ordinates by finding the ratio of
or
co-ordinates of the image and pre-image.

For the given co-ordinates.
Pre-Image = (-12,3)
Image = (-60,15)
The value of 
or 
As we get
for both ratios i.e of
and
co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.
To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.
Pre-Image
Image
Pre-Image
Image
(Answer)
Answer:
167.36 weeks
Step-by-step explanation:
Given: Currently has $180, the cost is $860, and he plans to save $68 a week
To find: How many weeks will it take to save his money
Solution: If Barry currently has $180 and needs $860 for his tires also saves $68 a week, divide the amount he wants to save by the amount he saves a week, to find how many weeks will it take to save his money
860 ÷ 68 = 12.64
Subtract 180 because he already has $180 saved currently
180 - 12.64 = 167.36
Hence, it will take approximately 167 weeks to save his money up to $860