Answer:
x = 24, PR = 404, QS = 404
Step-by-step explanation:
PR and QS are both diagonals of the rectangle. The diagonals of a rectangle bisect each other and are of equal length. Thus, we can say:
PR = QS
18x - 28 = x + 380
Solving for x, we get:
18x - x = 380 + 28
17x = 408
x = 408/17
x = 24
Thus, PR = 18(24) - 28 = 404 and QS = 24 + 380 = 404
Third choice is right.
The correct option A: graph A, shows the logarithmic function;
f(x) = log₃x + 1
<h3>Explain the term logarithmic function?</h3>
- The opposite of such an exponential function is a logarithmic function.
- A log function and then an exponential function both use the same base.
- An exponent is a logarithm. f(x) = bx is how the exponential function be expressed.
- The formula again for logarithmic function is f(x) = log base b of x.
f(x) = log₃x + 1
f(1) = log₃1 + 1
f(1) = 0 + 1
f(1) = 1
(1, 1)
f(3) = log₃3 + 1
f(3) = 1 + 1
f(3) = 2
(3, 2)
Thus, the graph must contain the points (1, 1), (3, 2).
Therefore, graph A define the given logarithmic function;
f(x) = log₃x + 1.
To know more about the logarithmic function, here
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9514 1404 393
Answer:
6
Step-by-step explanation:
The slope of the line between (3, 3) and (4, 9) is given by the slope formula:
m = <average rate of change> = (y2 -y1)/(x2 -x1)
m = (9 -3)/(4 -3) = 6/1
m = 6
The average rate of change on the interval [3, 4] is 6.
Answer:
35 degrees
Step-by-step explanation:
Degrees in a triangle: 180
Assume Angle C = 90 degrees
180-55-90 = 35 degrees
Here, we are required to write a real-world problem that can be represented by the given equation
On the left hand side of the equation, we can say that :
The addition of 6 to twice my cousin's age which gives 2x+6.
On the right hand side, we can say the addition of 4 to thrice my cousin's age which also gives:
3x +4
Ultimately, the real-world problem may be in the form :
Six added to Twice my cousin's age is equal to 4 added to thrice his age.
Also, my variable, x represents my cousin's age.
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