Answer:8
Step-by-step explanation:
First, substitute 7 into the equation for b:
1/3(2x7+10)
Now, simplify using the order of operations:
1/3(14+10)
Then:
1/3 (24)
And you arrive at your answer:
8
The interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2
<h3>How to interpret the points of intersection?</h3>
The graph of the two functions alongside their equations are the given parameters of this question
The functions are given as:
f(x) = 5x - x^2
g(x) = 3x - 0.5x^2
When the graphs of two curves or lines intersect on a coordinate plane, it means that the point of intersection represents where the graphs have equal value
In this case, it represents
f(x) = g(x)
Substitute the known values in the above equation
5x - x^2 = 3x - 0.5x^2
So, the interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2
Read more about point of intersection at
brainly.com/question/11337174
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Answer:
x=21
Step-by-step explanation:
Following the vertical angles, we can assume that the equation that has x and 87 are equal to each other. From then, you set them equal to each other and solve for x.
87=4x+3
84=4x subtract 3 from both sides
21=x divide by 4 to get the x alone on both sides
I would say you have a probability of 1/4 to pick a 3 in the first round and 1/3 in the second round
1/4 plus 1/3 = 7/12
To solve this problem, work out the problem normally as if the "≥" is "=".
3.1v - 1.4 ≥ 1.3v + 6.7
-1.3v -1.3v
________________
1.8v - 1.4 ≥ 6.7
+1.4 +1.4
________________
1.8v ≥ 8.1
___ ___
1.8 1.8
v ≥ 4.5, is the answer.
