Answer:
Step-by-step explanation:
X-y is positive when y is further away from 0, compared to x. In other words, when y is a larger negative
For example
x = -2
y = -5
x-y = -2-(-5) = -2+5 = 3
Answer:
X=3
Step-by-step explanation:
2(4x-3)-t=4+2x
multiply parentheses by 2
8x-6-8=4+2x
Calculate
8x-14=4+2x
Move terms
8x-2x=4+14
Calculate the sum after collecting like terms
6x=18
Divide both sides by 6
x=3
Bring the 13 over to read
13-12y-13=0
then move the 12y over do it becomes
13-13=12y
0=12y
y=0
Answer:
(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
(b) Every function of the form
is an antiderivative of 8x
Step-by-step explanation:
A function <em>F </em>is an antiderivative of the function <em>f</em> if

for all x in the domain of <em>f.</em>
(a) If
, then
is an antiderivative of <em>f </em>because

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.
(b) Because

then
is an antiderivative of
. Therefore, every antiderivative of 8x is of the form
for some constant C, and every function of the form
is an antiderivative of 8x.