Answer:
37.5
Step-by-step explanation:
16/46 = 20/(20+x)
or, 16(20+x) = 46×20
or, 320 + 16x = 920
or, 16x = 600
or, x = 600/16
x = 37.5
An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.
The equation for f(x) from the given graph can be written as,

Now, similarly from the graph the function of g(x) can be written as,

Further, the equation of function g(x) in terms of f(x) can be written as,
g(x) = -3[f(x)]
Learn more about Equation:
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Answer:
length : 10 yard
width: 14 yard
Step-by-step explanation:
Let l be the length of the yard.
Since the width is 6 yards less than twice its length, we can say the width is 2l-6.
With width x length=area,
l (2l -6) = 140
2l^2 - 6l = 140
2l^2 - 6l - 140 = 0
Using the quadratic formula,
we can determine l = 10 or -7
since the length should not be negative,
the length is 10 yard.
Now substitute l=10 into 2l-6.
width = 2(10)-6
= 14 yard
can you please rotate the picture
Answer:
b. 15 square units
Step-by-step explanation:
We notice from the graph that AB is the hypotenuse of a right triangle 3 units wide and 6 units high. The Pythagorean theorem tells you the length of that will be ...
AB = √(3^2 +6^2) = √45 = 3√5
Similarly, altitude CD is the hypotenuse of a right triangle 4 units wide and 2 units high, so its length will be ...
CD = √(4^2 +2^2) = √20 = 2√5
The area is given by the formula ...
A = 1/2bh
A = 1/2(3√5)(2√5) = 15 . . . square units