Answer:
Let f(x) = 4
+ 16
+ 19x + 10.
Comparing (2x + 5) with (x - a), a = ![\frac{-5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%7D%7B2%7D)
Now,
Using remainder theorem,
f(a) = Remainder(R)
or, R = 4
+ 16
+ 19(-2.5) + 10
or, R = -62.5 + 100 - 47.5 + 10
or, R = 0
Therefore, the result is zero.
The equation describing variation will be found as follows:
zαxy
z=kxy
where k is the proportionality constant
k=z/xy
when x=3, y=-5 then z=-75
k=-75/(-5*3)=5
hence the formula will be:
z=5xy
<span>Since the number of nail boxes is 6 less than the number of yards of wood, the right expression to use is x-6. (x being the number of yards of wood)
Now let us calculate the number of nail boxes she bought.
Cost of x yards of wood at $27 per yard = 27x.
Cost of x-6 boxes of nails at $4 per box = 4(x-6) = 4x - 24
Therefore 27x +4x - 24 = 193
31x -24 = 193
31x = 193 + 24
31x = 217
x = 217/31
= 7
So she bought 7 yards of wood and 7-6 boxes of nail. That is, she bought only one box of nail.</span>
Answer:
b
Step-by-step explanation:
Answer:
x = -6/65
Step-by-step explanation:
Perform the indicated multiplications: 4(-8x+5) - 1(33x-26), obtaining:
-32x + 20 - 33x + 26
Combining like terms, we get
-65x = 6, or
x = -6/65