Answer:
To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other. In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.
Step-by-step explanation:
Answer:
4(x-3)(x+6)
Step-by-step explanation:
We factor out the 4 first since all numbers are divisible by 4. That leaves us with x^2+3x-18.
Then we factor this to get (x-3)(x+6).
So the factored form of the equation is 4(x-3)(x+6)
Answer:
0<x<1
Step-by-step explanation:
(x+3)(x−4)<−12
FOIL
x^2 -4x+3x -12 <-12
x^2 -x -12 <-12
Add 12 to each side
x^2 -x -12+12 <-12+12
x^2 -x <0
Factor out an x
x(x-1) <0
Using the zero product property
x(x-1) =0
x=0 x-1=0
x=0 x=1
Check the ranges
x<0
x(x-1) <0
- * - >0
False
0<x<1
x(x-1) <0
+ * - <0
True
x>1
x(x-1) <0
+ * + >0
False
The term is less than. Think about it this way next time, the mouth is open to the bigger number because it wants to eat the bigger number. So the number facing the tail is always less than.
Answer:
a) a x 12
b) p x 4
c) (a x 12) + (p x 4)
Step-by-step explanation:
These are the answers because:
1) Since a is representing the cost of each apple, we have to multiply the a with 12.
2) Since p is representing the cost of each pear, we have to multiply the p with 4.
3) Finally, for c, each basket contains 12 apples and 4 pears. Therefore, we just use our eautions from before and add them which will give you the total cost of one basket.
Hope this helps! :D