Answer:
f^-1 (x)=1/2x+5
Step-by-step explanation:
y=2x-10
x=2y-10
2y=x+10
y=1/2x+10/2
y=1/2x+5
The solution to the inequality |x + 3| - 2 < 0 is -5 < x < -1 as shown in the graph attached
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Inequality is an expression used to show the non equal comparison of two or more numbers and variables.
Given that:
|x + 3| - 2 < 0
Hence:
(x + 3) - 2 < 0 and -(x + 3) - 2 < 0
x < -1 and x > -5
The solution to the inequality |x + 3| - 2 < 0 is -5 < x < -1 as shown in the graph attached
Find out more on equation at: brainly.com/question/13763238
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Yes that is correct need 20 words
The time it will take for Tyler to finish planting tomatoes alone is; 75 minutes
<h3>
Understanding Work Proportion</h3>
We are told that three people are planting tomatoes in a community garden. The time each alone takes to plant are;
Thus, their individual rates are;
Since together, they take 20 minutes, then it means that;
1/50 + 1/x + 1/(x + 15) = 1/20
Multiply through by x(x + 15) to get;
(x² + 15x)/50 + (x + 15) + x = (x² + 15x)/20
Multiply through by 100 to get;
2(x² + 15x) + 100(x + 15) + 100x = 5(x² + 15x)
100x + 1500 + 100x = 5(x² + 15x) - 2(x² + 15x)
200x + 1600 = 3x² + 45x
3x² - 155x - 1600 = 0
Solving this using quadratic formula calculator online gives;
x ≈ 60
Thus, the time it will take tyler alone to finish is;
60 + 15 = 75 minutes
Read more about Work Proportion at; brainly.com/question/1781657
Answer:
Step-by-step explanation:
Remark
The two black suites are
Clubs
Spades
Each of them has 13 cards so the total number of black cards is 2*13 = 26
Add to that the hearts which also has 13 cards
The total number of possible good cards is 13 + 26 = 39
Answer
P(hearts or Black) = 39/52
P(hearts or Black) = 3/4
P(hearts or Black) = 0.75