Answer: The answer is at the bottom.
Step-by-step explanation:
Write
x
|
x
|
<
7
as a piecewise.
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{
x
2
<
7
x
≥
0
−
x
2
<
7
x
<
0
Solve
x
2
<
7
when
x
≥
0
.
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0
≤
x
<
√
7
Solve
−
x
2
<
7
when
x
<
0
.
Tap for more steps...
x
<
0
Find the union of the solutions.
x
<
√
7
The result can be shown in multiple forms.
Inequality Form:
x
<
√
7
Interval Notation:
(
−
∞
,
√
7
)
Total perimeter is 522 ft. I will guess the gym is a big rectangle.
Therefore, Perimeter of a rectangle = 2L + 2W
P= 2L+ 2W
We know 80 ft wide. so now we plug and chug the equation we came up with
P=522 ft
P=2L+ 2(80)
522=2L+ 160
L= 181
hope that helps
The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
<h3>How to simplify the addition between two rational equations</h3>
In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:
- (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given
- (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
- 1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse
- [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator
- (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / Result
To learn more on rational equations: brainly.com/question/20850120
#SPJ1
So, this is too vague but I'll solve for both quadratic formula and find the discriminant.
Quadratic formula: <span>x=<span>5+<span><span><span>√35 OR</span><span> </span></span>x</span></span></span>=<span>5−<span>√<span>35
Finding the discriminant: 141</span></span></span>
