Radius is 8
diameter is 16
curcumference is 50.24
The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).
<h3>What is the x-intercept of the line?</h3>
Given the function;
X-intercept occurs on the graph when y=0. Hence, to determine x-intercept, we substitute in 0 for y and solve for x.
3x - 5y = 7
3x - 5(0) = 7
3x - 0 = 7
3x = 7
x = 7/3
Hence, we have a point ( 7/3, 0 ).
The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).
Learn more about x and y-intercepts here: brainly.com/question/12791065
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Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year.
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+
Year 3: 4800 * (1/4)³ = 75
+
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600
HOW TO SOLVE:
1) use x as a variable
2) the starting equation is:
4x + 3x + 5x = 18
3) add all the like terms on the left side of the equation:
12x = 18
4) Divide by 12 on both sides:
x=1.5
5) Find the lengths of the sides:
- 4x = 4(1.5) = 6
- 3x = 3(1.5) = 4.5
- 5x = 5(1.5) = 7.5
SO, the lengths of the sides of this triangle are: 6, 4.5, and 7.5
Answer:
7
Step-by-step explanation:
5(x - 3) = 2(x + 3) Distribute
5x - 15 = 2x + 6
+ 15 + 15 Switch sides to the liked terms
5x = 2x + 6 + 15
-2x -2x Switch sides to the liked terms
5x - 2x = 6 + 15
<u>3x</u> = 21 Divide
3 3
x = 7
