Answer:
$5.24
Step-by-step explanation:
First, we need to find how many of each coin type we have. For pennies and dimes, we can take the percentage and divide by two for the number of coins.
18 / 2 = 9 pennies
36 / 2 = 18 dimes
We also know that there are three more nickels than there are dimes.
9 + 3 = 12 nickels
We can subtract the total number of nickels, pennies, and dimes from the total number of coins to get the number of quarters.
50 - 39 = 11 quarters
Then, we do the math to find the value.
9 x 0.01 = 0.09
18 x 0.10 = 1.80
12 x 0.05 = 0.60
11 x 0.25 = 2.75
2.75 + 1.80 + 0.60 + 0.09 = $5.24
Hello!
Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.
Now, we first can find the slope. We know the line is parallel to y = 2/5x - 2, and parallel lines <u>always have the same slope.</u> Therefore, we now know that the slope (or m) is 2/5. Substitute that in the equation.
y = 2/5x + b
Finally, we are given a point. We can substitute (-5, -3) into the equation, and then solve for b.
x = -5, y = -3
-3 = 2/5 (-5) + b
-3 = -2 + b
-1 = b
Now, we know what b is. Substitute this into the equation.
Therefore, y = 2/5x - 1 is our final equation.
Hope this helps!
The absolute value functions that contains the points are:
- f(x) = |x| + 2
- f(x) = |-x| + 2
<h3>Which could be the function represented by this graph?</h3>
Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
- f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)
- f(0) = |0| + 2 = 2 so it has the point (0, 2)
- f(3) = |3| + 2 = 5 so it has the point (3, 5).
The other option that also contains these 3 points is:
f(x) = |-x| + 2
- f(-3) = |3| + 2 = 5 so it has the point (-3, 5)
- f(0) = |-0| + 2 = 2 so it has the point (0, 2)
- f(3) = |-3| + 2 = 5 so it has the point (3, 5).
And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
- f(x) = |x| + 2
- f(x) = |-x| + 2
If you want to learn more about absolute value functions:
brainly.com/question/3381225
#SPJ1
The answer is 666. You can use a calculator for future questions like these :)
