904.78 in^3...Hope this helps!
The equivalent equation after applying distributive property will be:
(2*x) - (2*5) = 56 + (6*x) - (6*5)
Further explanation:
Distributive property states that the number is distributed to the sum or difference it is being multiplied to i.e.
a(b+c) = a*b + a*c
So the given equation is:
2(x - 5) = 56 + 6(x - 5)
2 will be distributed to x-5 and 6 will be distributed to x-5
The equivalent equation will be:
Keywords: Equations, Distributive property
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Answer: D. No; the graph fails the vertical line test.
The vertical line test is a tool used to determine if we have a function. If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test. Consequently, this leads to the relation not being a function.
For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.
Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:
For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2
For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3
Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12
Answer:
0.04
Step-by-step explanation:
X~N(μ=14.2; σ=0.9), a=7
P(X>7)=1-0.96=0.04
