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Answers:</h3>
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Explanation:
The given piecewise function is

At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations
- f(x) = -4x+3 when x < 3
- f(x) = -x^3 when

- f(x) = 3x^2+1 when x > 8
In a sense, we have three different functions but they are combined somehow.
If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.
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f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition
f(x) = -4x+3
f(-5) = -4(-5)+3
f(-5) = 20+3
f(-5) = 23
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Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition
f(x) = 3x^2+1
f(12) = 3(12)^2+1
f(12) = 3(144)+1
f(12) = 432+1
f(12) = 433
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Side notes:
- We won't use the second definition since we don't have any x inputs between 3 and 8
- To say "less than or equal to" on a keyboard, you can write "<=" without quotes. For example,
is the same as x<=5
Answer:
There are 2 contractions al and del. Name the parts of a verb Ar, Er, ir
Answer:
-The expression representing the area of the patio has four terms.
-The expression representing the area of the patio is cubic.
-The expression representing the area of the patio has a constant term.
wrong answer:
The expression representing the area of the patio is a trinomial.
Answer:
1.) It's 20th century painting
2.) 0.5 probability
Step-by-step explanation:
If the universal = 60
We need to first get the value of X. That is,
x (x - 2) + x + 2x + 8 + 10 = 60
First open the bracket
x^2 - 2x + x + 2x + 8 + 10 = 60
x^2 + x + 18 = 60
x^2 + x - 42 = 0
Factorise the above equation
x^2 + 7x - 6x - 42 = 0
x (x + 7) -6(x + 7) = 0
x = 6 or - 7
Since x can't be negative, so we will ignore -7
The value for T = 6(6 - 2) = 6×4 = 24
The value for B = 2(6) + 8 = 12 + 8 = 20
If a painting is chosen from random,
If it's from 20th century, the probability will be 34/60 = 0.567
If it's from British painting, the probability will be 30/60 = 0.5
We can therefore conclude that it's from 20th century painting since it has higher value of probability.
The the probability of choosing a British painting will be 30/60 = 0.5