3.2-5.7=-2.5 so its have to be a negative because a smaller number subtract a bigger number have to be equal to a negative number.
Answer:
See explanation
Step-by-step explanation:
For every question that comes your way, the first step is to understand the question.
The next, is to convert the word problems into algebraic expressions.
Lastly, you solve the expression accordingly.
Take for instance.
Ade has half a dozen eggs. How many dozen does Ade have?
We understand that; half means ½ and a dozen means 12.
So, the expression is
½ * 12 = 6 eggs
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
Answer: 36 cm^2
Step-by-step explanation:
Hello!
We can start by finding the cube root of 216, which is 6. This is the length of each side of the cube.
Now, the area of the base of the cube is equal to 6^2=36 cm^2.
Answer:
65
Step-by-step explanation:
They are vertical angles; so angles are congruent
*<em>Vertical angles are always congruent*</em>
<em>Congruent means equal or same.</em>
1) Since they are congruent, you form an equation.
<h2>
145 = 2x + 15</h2>
2) Solve by subtracting 15 from both sides.
<h2>
145 = 2x + 15</h2><h2>
- 15 -15</h2><h2>
----------------------</h2><h2>
130 = 2x</h2>
3) Solve by dividing 2 from both sides
<h2>
130/2 = 2x/2</h2>
4) Simplify
x = 65
