This solution is arrived at using the principles of Quadratic Functions and Inequalities. It is to be noted that the function increases at (-8, 4).
<h3>What are Quadratic Functions?</h3>
A quadratic function can be defined as that is written in the following way: f(x) = ax2 + bx + c: Where a, b, and c are numbers not equal to zero.
<h3>How do we solve the problem above?</h3>
To solve the problem f(4x - 3) ≥ f(2 - x^2), Df = (-8 , 4), we:
- Rewrite
- Collect like terms
- Expand
- Factorize, then
- Solve for <em>x</em>.
A) 4x - 3 ≥ 2 - x²
Rewrite as: x² + 4x - 2 - 3 ≥ 0
B) Collect the like terms
x² + 4x - 5 ≥ 0
C) Expand to have x² + 5x - x - 5 ≥ 0
D) Factorizing the expression we have
x(x + 5) - 1(x + 5) ≥ 0, from this we Factor away x + 5
(x - 1)(x + 5) ≥ 0
E) Solving for x we obtain: x ≥ 1 or x ≥ -5
This can also be rewritten to read:
-5 ≤ x ≤ 1
Learn more about quadratics and inequalities at:
brainly.com/question/2237134
Answer:
COrrect DOmain: B
Correct Range: I think it is C, not sure tho
Step-by-step explanation:
If it's an equation, such as y=mx+b, the slope is whatever the value of m is. For example, if the equation was y=2x-4, than the slope would be 2.
When solving this on a graph, choose any 2 whole number points. (preferably close together, because it makes it easier) Count how many lines up/down (the y axis) and how many lines over left/right (the x axis) and put the up/down on the top of a fraction and the left/right on the bottom. for example if up was 2, and right was 3, than it would be 2/3. Down is negative, and to the left is also negative. If there are 2 negatives (one on the top and one on the bottom) than they cancel each other out and become positive. For example: -2/-3 would be the same as 2/3. Hope this helps :)
Hi there!
We know that RST is an equilateral(all 3 sides the same length) triangle, and is therefore equiangular(all 3 angles the same value). Therefore, angle S and is equal to one-third of the triangle's angle measure.
180/3=60
60=7x+4
56=7x
x=8
-AwesomeRepublic :)
Answer: 6 minutes
Step-by-step explanation: the 52 seconds rounds up to a full minute so it is 5.52 rounded up to 6 minutes