The answer is 51/40=1 and 11/40
Answer:
The answer is: 
Step-by-step explanation:
we are asked to subtract 
from 
so, 
.
Hence the desired result is: .
Answer:
960
Step-by-step explanation:
3/8*total number of animals = 600
total number of animals = 8/3 * 600 = 1600
number of animals fed = 40/100 * 1600 = 640
animals still to be fed = 1600 - 640 = 960
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
Answer:
8b + 27 ≤ - 29
Step-by-step explanation:
Sum of a number can be written as x or in this case as b because it is an unknown number.
b is multipled by 8 so 8b
"and 27" indicates an addition so therefore, 8b + 27
"at most -29" This is a little bit tricky but ultimately it means 8b + 27 cannot be more than -29. Therefore, it must be lesser than.
However there is a line underneath that lesser than sign meaning lesser than or equal to. I believe that "at most" indicates equal to.
Other than the lesser than or equal to sign I'm unsure about, this inequality should be correct.
