As far as I remember, we learned a lot about ratios and fractions, such as adding, subtracting, multiplying, and dividing them, as well as finding LCM and GCF.

8 0

3 years ago

Read 2 more answers

Solve for x, y, and z. Enter the integer that is under each radical.

Yuliya22 [10]

Answer:

$x=\sqrt{10}$

$y = \sqrt {14}$

$z = \sqrt {35}$

Step-by-step explanation:

By geometric mean theorem:

$x=\sqrt{2\times 5}$

$x=\sqrt{10}$

By Pythagoras Theorem:

$y^2 = x^2 + 2^2$

$y^2 = (\sqrt{10}) ^2 + 2^2$

$y^2 = 10 + 4$

$y^2 = 14$

$y = \sqrt {14}$

Again by Pythagoras Theorem:

$z^2 = x^2 + 5^2$

$z^2 = (\sqrt{10}) ^2 + 5^2$

$z^2 = 10 + 25$

$z^2 = 35$

$z = \sqrt {35}$

5 0

3 years ago

The table below represents the distance of a truck from its destination as a function of time:

Anna71 [15]

Part A: What is the y-intercept of the function, and what does this tell you about the truck?
The intersection of a function with the y-axis occurs when we evaluate the function for x = 0.
For this case we have:
f (0) = 330 miles
Therefore, the intersection with the y-axis is 330 miles.
It means that the truck is 330 miles from its destination.

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents.
Since the function is linear, the average exchange rate is:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (275-330) / (1-0)
m = -55
It represents that the truck approaches 55 miles every hour to its destination.

Part C: What would be the domain of the function if the truck continued to travel at this rate until it reached its destination?
The linear equation that represents the problem is:
y = -55x + 330
For y = 0 we have:
0 = -55x + 330
Clearing x:
x = 330/55
x = 6
The domain of the function will be:
[0, 6]

4 0

3 years ago