81 1/4
Answer:75 percent as a fraction is 3/4 and 50 percent as a fraction is 1/2
Step-by-step explanation:
The value of the expression 588 ÷ 6 will be 98. Then the number of digits is 2.
Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.
The numbers are given below.
588 and 6
Then the division between the numbers 588 and 6 will be given by putting a division sign between them. Then we have
⇒ 588 ÷ 6
⇒ 588/6
⇒ 98
The value of the expression 588 ÷ 6 will be 98. Then the number of digits is 2.
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a. True
b. False
2 x + 2 x < - 3
X x = -3
- x - 2 X > -3
y = -6
y=-4
y=-3
y = 0
y = 1
y = 3
-6, -4, -3, and 0 are the values which are within the range of the piecewise-defined function.
Correct options: a) y = -6, b) y = -4, c) y = -3, d) y = 0
Here, we have, to determine which values are within the range of the piecewise-defined function, we need to evaluate the function for each given value of y.
Given piecewise-defined function:
f(x) =
2x, x < -3
x, x = -3
-x - 2, x > -3
Let's evaluate the function for each value of y:
a) y = -6
For y = -6, we need to find x such that f(x) = -6.
-6 is in the range of the function if there exists an x such that f(x) = -6.
For x < -3: f(x) = 2x
2x = -6
x = -3
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -6
x = 4
Since there is a value of x (-3) that satisfies f(x) = -6, option a) y = -6 is correct.
b) y = -4
For y = -4, we need to find x such that f(x) = -4.
-4 is in the range of the function if there exists an x such that f(x) = -4.
For x < -3: f(x) = 2x
2x = -4
x = -2
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -4
x = 2
Since there is a value of x (-3) that satisfies f(x) = -4, option b) y = -4 is correct.
c) y = -3
For y = -3, we need to find x such that f(x) = -3.
-3 is in the range of the function if there exists an x such that f(x) = -3.
For x < -3: f(x) = 2x
2x = -3
x = -1.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -3
x = 1
Since there is a value of x (-3) that satisfies f(x) = -3, option c) y = -3 is correct.
d) y = 0
For y = 0, we need to find x such that f(x) = 0.
0 is in the range of the function if there exists an x such that f(x) = 0.
For x < -3: f(x) = 2x
2x = 0
x = 0
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 0
x = -2
Since there is a value of x (-3) that satisfies f(x) = 0, option d) y = 0 is correct.
e) y = 1
For y = 1, we need to find x such that f(x) = 1.
1 is in the range of the function if there exists an x such that f(x) = 1.
For x < -3: f(x) = 2x
2x = 1
x = 0.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 1
x = -3
Since there is no value of x that satisfies f(x) = 1, option e) y = 1 is incorrect.
f) y = 3
For y = 3, we need to find x such that f(x) = 3.
3 is in the range of the function if there exists an x such that f(x) = 3.
For x < -3: f(x) = 2x
2x = 3
x = 1.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 3
x = -5
Since there is no value of x that satisfies f(x) = 3, option f) y = 3 is incorrect.
Correct options: a) y = -6, b) y = -4, c) y = -3, d) y = 0
The correct values within the range of the piecewise-defined function are -6, -4, -3, and 0.
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Answer:
-6, -4, -3, 0
Step-by-step explanation:
I just did this question and got it right.