<h3><u>The value of x is 19.</u></h3><h3><u>The value of y is 4.</u></h3>
x = 3 + 4y
x + y = 23
Because we have a value for x we can plug it directly into the second equation.
3 + 4y + y = 23
Subtract 3 from both sides.
4y + y = 20
Combine like terms.
5y = 20
Divide both sides by 5.
y = 4
Plug this value for x back into the original equation.
x = 3 + 4(4)
x = 3 + 16
x = 19
When triangles are similar, ratios of corresponding side lengths are the same. The side lengths you know are CD, DU, VW, WU. (You also know CU, but you do not know the corresponding length VU.)
The ratios can be formed in any convenient way, but it is already clear that the triangles are not similar. CD = 73 is a prime number, and neither DU nor VW is a multiple of that. For example, ...
... CD/VW = 73/84 ≠ 48/55 = DU/WU
They both have the same number. The decimal point changed their values
Hope this helps! :)
The average rate of change on the interval (5, 6) is 9. So the correct option is D.
<h3>
How to find the average rate of change on the interval?</h3>
Here we want to find the average rate of change of f(x), the function on the table, on the interval (5, 6).
This is just:
I we look at the table we see that:
This is a system of equations.
If we subtract the second and first functions, we get:
From that we take two relations:
Now we can replace these two in the last equations so we get:
Now that we know the value of a:
The quadratic equation is:
Evaluating this in x = 6 we get:
And from the table we know that f(5) = 17, then the average rate of change is:
The correct option is D.
If you want to learn more about average rates of change:
brainly.com/question/8728504
#SPJ1
Answer:
Step-by-step explanation:
4.6 x 10^6
