MATHEMATICS HIGH SCHOOL

Solve the compound inequality.

Answers

Answer 1

Answer:

Answer:

x < 0 or x > 3

Step-by-step explanation:

First, we'll solve 5x - 11 < -11.

5x < 0 so x < 0.

As for 4x + 2 > 14, 4x > 12 which means x > 3.

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Which of the following pair of times has an elapsed time of 3 hours and 20 minutes between the times?3:20 to 6:00
8:40 to 12:00
6:30 to 9:20
5:50 to 8:10

Answers

8:40 to 12:00, 3 hours and 20 minutes has elapsed.

Sara has 15 apples and 12 oranges. How many pieces of fruit does she have?

Answers

27 pieces o' fruit!!!!
15 + 12 = 27

15apples 12oranges
15 + 12 = 27 apples

A man is five times as old as his son. Four years ago, he was nine times as old. Find their present ages.

Answers

Let us assume the age of the son now = x
Then
The age of the man now = 5x
Now we have to calculate the age of the son and father 9 years ago
Age of the son 4 years ago = x - 4
Age of the man 4 years ago = 5x - 4
Then
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
5x - 9x = -36 + 4
- 4x = - 32
MUltiplying both sides of the equation by -1 we get
4x = 32
x = 32/4
= 8
So the present age of the son is 8 years
Present age of the man = 5x
= 5 * 8
= 40 years
So the present age of the man is 40 years and the present age of the son is 8 years.

Suppose that y varies inversely with x and that y=2 when x=8. What is an equation for the inverse variation?

Answers

x=2 and y=8 Im guessing?

Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 mph. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 mph. How many hours did it take the first plane to travel to the destination?Let x represent the number of hours that the first plane traveled.
Enter an equation that can be used to solve this problem in the first box.
Solve for x and enter the number of hours in the second box.

Answers

First plane: 496x
Second plane: 558( x - 1/2)

Equation: 496x = 558( x - 1/2)

Solving x = 9/2 , or x = 4.5 hours.

Hope this helps.

Which ordered pairs lie on the graph of the exponential function f(x)=−3^2x+5 ? Select each correct answer. (−2, 76) (3,−724) (0, 4) (1,−4)

Answers

Answer:

(0,4) (1,-4)

Step-by-step explanation:

Plugging in values, we get that (1,-4) works.

$f(1)=-3^(2*1)+5=-3^2+5=-9+5=-4$

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