Answer:
The total of 4 cups lasts 8 days to Mr. Simpson.
Step-by-step explanation:
The 1/2 cups of food lasts 1 day
⇒ 1 cup of food lasts = 
= 2 days.
Now, Mr. Simpson has 4 cups.
So, 4 cups last him = 4 x 2 days = 8 days
Hence, a total of 4 cups lasts 8 days to Mr. Simpson.
Answer:
D
Step-by-step explanation:
For simplify the work we can start to factorise all the possibles expressions:
2x + 8.
8 is multiple of 2, so it can became
2(x+4)
x^2 - 16 this is a difference of two squares, so it can be rewritten as:
(x+4)(x-4)
x^2 + 8x + 16
we have to find two numbers whose sum is 8 and whose product is 16
the two number are 4 and 4
it becames:
(x+4)(x+4)
x+ 4 can‘t be simplified
if we look at the expression, we can find that x-4 appears at the numerator so
x^2 - 16 must be at numerator
but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option
in fact
(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)
it became
(x+4)(x-4)/2 * 1/(x+4)(x+4)
(x-4)/2(x+4)
Answer:
Step-by-step explanation:
1) Tracy:
P =$ 59 ; r =3.5% ; T = 12 years
SI = PrT/100
= 59 * 3.5 * 12 /100
= $24.78
Amount Tracy that will be after 12 years in her account = $ 59 +$24.78
= $83.78
Step-by-step explanation:
<span>Determine the values of x on which the function f(x)=2x^2-x-15/4x^2-12x is discontinuous and verify the type of discontinuity at each point.
A.There is a vertical asymptote at 0 and a hole at 3.
B.There are vertical asymptotes at -5/2 & 0 and a hole at 3.
C.There is a vertical asymptote at 3 and a hole at 0.
D.There are vertical asymptotes at 0 & 3.
</span>
Result:
(-7/4)x^2-13x
The roots are:
x= -52/7
x=0
See attached pictures.
