Answer:
3x^5 -2x^4 -x^2 +x -21
Step-by-step explanation:
We need to subtract g(x) from f(x)
f(x) = 3x^5 +6x^2 -5
g(x) = 2x^4 +7x^2 -x+16
f(x) -g(x) = 3x^5 +6x^2 -5 - (2x^4 +7x^2 -x+16)
Distribute the minus sign
3x^5 +6x^2 -5 - 2x^4 -7x^2 +x-16
I like to line them up vertically
3x^5 +6x^2 -5
- 2x^4 -7x^2 +x-16
---------------------------------------
3x^5 -2x^4 -x^2 +x -21
It’s Negative below the lines the touching points do not meet
The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5
Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180
The value of x is 69
<h3>Vertical opposite angles</h3>
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertical opposite angles are congruent. Therefore,
a. ∠5 ≅ ∠7 (vertical angles)
Therefore, angles 5 and 7 are congruent angles.
∠7 = 47°
b. Suppose ∠6 = 2x - 5 . let's find x
Therefore,
∠5 + ∠6 = 180(angle on a straight line)
The equation to solve the above is as follows:
47 + 2x - 5 = 180
42 + 2x = 180
2x = 180 - 42
2x = 138
x = 138 / 2
x = 69
learn more on intersecting lines here: brainly.com/question/24715845
Answer: A company has 440000 as revenue.
Step-by-step explanation:
Total revenue a company earned = 800000
Variable costs = 60% of revenue
So , variable costs becomes

Now, company lost = 40000
So, remaining revenue becomes

So, a company has 440000 as revenue.
<u>Answer:</u>
<h2>
SA = 254 cm²</h2>
<u>Steps:</u>
SA = 2(L×W) + 2(H×L) + 2(H×W)
given:
L = 9 cm
W = 4 cm
H = 7 cm
SA = 2(9×4) + 2(7×9) + 2(7×4)
SA = 2×36 + 2×63 + 2×28
SA = 72 + 126 + 56
SA = 254 cm²