Answer:
x=40/33
Step-by-step explanation:
Let's solve your equation step-by-step.
25(4x−3)−2x=45−x
Step 1: Simplify both sides of the equation.
25(4x−3)−2x=45−x
(25)(4x)+(25)(−3)+−2x=45+−x(Distribute)
100x+−75+−2x=45+−x
(100x+−2x)+(−75)=−x+45(Combine Like Terms)
98x+−75=−x+45
98x−75=−x+45
Step 2: Add x to both sides.
98x−75+x=−x+45+x
99x−75=45
Step 3: Add 75 to both sides.
99x−75+75=45+75
99x=120
Step 4: Divide both sides by 99.
99x
99
=
120
99
x=
40
33
Answer:
x=40/33
Answer:
x=6, AB=61, BC=61, AC=122
Step-by-step explanation:
Let p(x) be a polynomial, and suppose that a is any real
number. Prove that
lim x→a p(x) = p(a) .
Solution. Notice that
2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .
So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial
long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x –
2.
Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number
such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| <
1, so −2 < x < 0. In particular |x| < 2. So
|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|
= 2|x|^3 + 5|x|^2 + |x| + 2
< 2(2)^3 + 5(2)^2 + (2) + 2
= 40
Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2
+ x − 2| < ε/40 · 40 = ε.
