Assessment timer and count Assessment items A rectangle has an area of 102 cm2. The length of the rectangle is 17 cm. What is th
1 answer:
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Answer:
Step-by-step explanation:
<u>Solving Equations Using Successive Approximations</u>
We need to find the solution to the equation
where
The approximation has been already started and reached a state for x=2.5 where
The difference between the results is 0.25, we need further steps to reach a good solution (to the nearest tenth)
Let's test for x=2.4
The new difference is -0.2+0.24=0.04
It's accurate enough, thus the solution is
Answer:
4 + (or -) 3i
Step-by-step explanation:
Hi!
Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.
1. Move 12x-5 to the left side of the equation by
a. Subtracting 12x from both sides
b. adding 5 to both sides.
1: x^2+4x+20-12x+5
2. Group the common terms
x^2+4x-12x+20+5 --> x^2-8x+25
3. Look at the problem. We can't factor this.
Explanation for why this isn't factorable (you can skip this)
(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.
(2) Factors of 25: 1 & 25, 5 &5
Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.
4. So, the quadratic formula:
Our equation is x^2-8x+25=0
a is the constant in front of the x^2
b is the constant in front of the x
c is the term without any x values
so, a=1, b=-8, and c= 25
Into equation:
=
=
8/2 = 4
sqrt(-36) = 6i
6i/2 = 3i (remember, we still have the two in the denominator)
4 + (or -) 3i
Answer:
x > 3
interval notation: (3, ∞)
Step-by-step explanation:
Given the inequality statement: 4x - 5 > 7,
The goal is to isolate x and find its solution.
Start by adding 5 to both sides:
4x - 5 + 5 > 7 + 5
4x > 12
Divide both sides by 4:
4x/4 > 12/4
x > 3
The solution can also be expressed in the following interval notation:
(3, ∞).
In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.
