Answer:
x= ![-\frac{1}{14}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B14%7D)
Step-by-step explanation:
im going to assume the 3x2 mean 3 times 2
Answer: 120, 60, 180
Step-by-step explanation:
1) Area of a rectangle's formula is:
l × w
So, looking at the diagram, we get:
6 × 20 = 120 cm²
2) Area of a trapezoid's formula is:
× h (where both a and b are the different base lengths)
So, looking at the diagram, we get:
× 4 = 60 cm²
3) Add both to find the area of the entire figure.
120 + 60 = 180 cm²
Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)
![3 {b}^{x + 1} = 2](https://tex.z-dn.net/?f=%203%20%7Bb%7D%5E%7Bx%20%2B%201%7D%20%20%3D%202)
![{b}^{x + 1} = 2 \div 3](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7Bx%20%2B%201%7D%20%20%3D%202%20%5Cdiv%203)
![log_{b}(2 \div 3) = x + 1](https://tex.z-dn.net/?f=%20log_%7Bb%7D%282%20%5Cdiv%203%29%20%20%3D%20x%20%2B%201)
![x = log_{b}(2 \div 3) - 1](https://tex.z-dn.net/?f=x%20%3D%20%20log_%7Bb%7D%282%20%5Cdiv%203%29%20%20-%201)
Answer:
7000 milligrams. hope this help
Yeah also you got it correct, congrats.