Answer:
f(-3) = 27
Step-by-step explanation:
f(x) = (-x)^3
We want the value when x =-3
Substitute this in
f(-3) = (--3)^3
f(-3) = 3^3
f(-3) = 27
Answer:
BE = 49
Step-by-step explanation:
In triangle BDC
65^2=56^2+BD^2
65^2-56^2=BD^2
4225-3136=BD^2
1089=BD^2
33=BD
In triangle FDE
65^2=63^2+DE^2
4225-3969=DE^2
256 = DE^2
16=DE
since ED+DB=BE
THEREFORE
16+33=BE
49=BE
About 2.43 kg of pepper
Divide 17 by 7
9514 1404 393
Answer:
(x, y, z) = (-1, 0, -3)
Step-by-step explanation:
We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.
Adding equations 1 and 2:
(2x -3y -2z) +(x +3y +2z) = (4) +(-7)
3x = -3
x = -1
Adding equations 2 and 3:
(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)
-3x -y = 3
Substituting for x, we get ...
(-3)(-1) -y = 3
0 = y . . . . . . . . . . . add y-3 to both sides
Then z can be found from any equation. Substituting for x and y in the second equation gives ...
-1 +2z = -7
2z = -6 . . . . . add 1
z = -3 . . . . . .divide by 2
The solution is (x, y, z) = (-1, 0, -3).
There are 45 pounds and 30 pounds of each type respectively.
Step-by-step explanation:
Since we have given that
Cost of first type = $2 per pound
Cost of second type = $7 per pound
Cost of mixture = $4 per pound
So, we need to find the quantity of each type to make 75 pounds of a blend.
We will use "Mixture and Allegations":
First type Second type
2 7
4
---------------------------------------------------
7 - 4 : 4 - 2
3 : 2
So, Quantity of first type would be
Quantity of second type would be
Hence, there are 45 pounds and 30 pounds of each type respectively.
