Answer:
5x^3+6x^2+x-7
Step-by-step explanation:
f(x) = 4x^3 - 2x and g(x) = x^3 + 6x^2 + 3x - 7,
f(x)
+ g(x)= 4x^3 - 2x+ x^3 + 6x^2 + 3x - 7
4x^3 + x^3 + 6x^2 + 3x- 2x - 7
Combine like terms
5x^3+6x^2+x-7
The set of inequalities y ≤ x² - 3 and y > -x² + 2 do not have a solution
<h3>How to modify the graphs</h3>
The attached figure 1 represents the missing piece in the question
From the graph, we have:
f(x) = x² - 3
g(x) = -x² + 2
Next, we change the equations to inequalities as follows:
y ≤ x² - 3
y > -x² + 2
To modify the graph, we then perform the following transformations:
- Shift the function g(x) down by 2 units
- Reflect across the x-axis
- Shift the function g(x) down by 3 units
<h3>How to identify the solution set</h3>
After the modifications in (a), we have:
y ≤ x² - 3 and y > -x² + 2
Next, we plot the graph of the inequalities
From the graph of the inequalities, the curves of the inequalities have no point of intersection
Hence, the set of inequalities do not have a solution
Read more about inequalities at:
brainly.com/question/24372553
#SPJ1
Area of circle = πr²
Given that area = 153.86 m², find the radius:
153.86 = πr²
r² = 153.86 ÷ π
r² = 48.98
r = √48.98
r = 7 m
Diameter = Radius x 2 = 7 x 2 = 14 m
Answer: Diameter = 14 m
Let x be the amount he invests at 6%
1280 = 0.06x + 0.07(20000 - x)
1280 = 0.06x + 1400 - 0.07x
1280 - 1400 = -0.01x
-120 / -0.01 = x
x = 12000
Therefore, he invests $12,000 at 6% and $8,000 at 7%
Step-by-step explanation:
wait a person was about to report it sorry ;/
had to take it off