Answer:
To isolate variables you can either:
- subtract from both sides
- add to both sides
- multiply both sides (by the same number )
- divide from both sides
These were basic.
Some more advanced ones are :
- raise both sides to the same exponent
- root both sides by the same root.
It has to be an inverse operation however, for all of these properties. And remember, they only work because they are done to both sides.
The expression y = 4.998 ·
is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).
<h3>How to derive an exponential function that passes through two given points</h3>
Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:

Where:
- A - y-Intercept of the exponential function.
- B - Growth factor
- x - Independent variable.
- y - Dependent variable.
Which is equivalent to the following logarithmic expression:
㏑ y = ㏑ A + B · x
If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:
㏑ (5 / 3) = ㏑ A - B
㏑ 135 = ln A + 3 · B
Then, we solve the system by numerical methods:
㏑ A = 1.609 (A = 4.998), B = 1.098
And the exponential function is equal to y = 4.998 ·
.
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
D
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = 0.5h(a + b)
where h is the perpendicular height and a, b the parallel sides.
Given A = 120, then
0.5 × 8(a + b) = 120, that is
4(a + b) = 120 ( divide both sides by 4 )
a + b = 30 cm → D
12 oz
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yes bevayde it should be
Answer:
-20
Step-by-step explanation:
y = 4x + b
-4 = 4(7) + b
-32 = b
y = 4x -32
r = 4(3) - 32
r = -20