Answer:
Step-by-step explanation:
For a. you are asked to evaluate f(0). This is a piecewise function with different domains for each piece of the function. You can only evaluate f(0) in the function that has a domain that allows 0 in it. In the first domain, it says
x < -3. 0 is not less than -3, so 0 is not in that domain, so you will not use that "piece" of the function to evaluate f(0).
In the next domain, it says that x is greater than or equal to -3 and less than 0. Again, 0 is not included in that domain, so we can't use that "piece" of the function to evaluate f(0).
The last domain says that x is greater than OR EQUAL TO 0, so this is where we evaluate f(0):
f(0) = -0 - 4 so
f(0) = -4
When we want to evaluate f(2), we follow the same rules. Find the piece of the function that allows 2 in its domain. That's the middle piece:
f(2) = 2(2) - 6 so
f(2) = -2
Answer:
7=x
Step-by-step explanation:
.5(6x-4)=4x-9
3x-2=4x-9
subtract 3x to each side
-2=x-9
add 9 to each side
7=x
The expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and 53(1.75)(0.3)^x
<h3>How to determine the expressions?</h3>
An exponential function is represented as:
y = ab^x
The above means that options (f) and (g) are not exponential functions
When b is less than 1, then the function is an exponential decay.
From the list of options, we have:
900(0.05)^t => b = 0.05
700(0.9)^x => b = 0.9
53(1.75)(0.3)^x => b = 0.3
Hence, the expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and 53(1.75)(0.3)^x
Read more about exponential decay at:
brainly.com/question/14355665
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Answer:
b=37
Step-by-step explanation:
if the angles are supplementary then they will add up to equal 180.
to find b you just subtract 143 from 180 to get 37
