Answer:the mail is 51 the birds are 14 each
Step-by-step explanation:
The solutions to the given absolute value equation are:
x = −74 and x = 80
<h3>
How to solve the given equation for x?</h3>
Here we want to solve the absolute value equation:
(1/7)*|x - 3| - 2 = 9
To solve this, we first need to isolate the absolute value part, so we get:
(1/7)*|x - 3| - 2 = 9
(1/7)*|x - 3| = 9 + 2
(1/7)*|x - 3| = 11
|x - 3| = 11*7
|x - 3| = 77
Now we can decompose the absolute value equation into two simpler ones, which are:
x - 3 = 77
x - 3 = -77
Solving those two equations we get:
x = 77 + 3 = 80
x = -77 + 3 = -74
Thus the solutions are:
x = -74 and x = 80, we conclude that the correct option is the last one.
If you want to learn more about absolute value equations:
brainly.com/question/5012769
#SPJ1
12√18-6√20-3√50-8√45
<em>*Break each radical up into the product of a radical of a perfect square and a second radical*</em>
12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)
<em>*Simplify the radicals*</em>
12(3√2)-6(2√5)-3(5√2)-8(3√5)
<em>*Distribute*</em>
36√2-12√5-15√2-24√5
<em>*Combine like terms</em>*
21√2-36√5
Hope this helps!!
Answer: f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
Step-by-step explanation:
if -1 ≤x ≤ 1
We can see that in this range the function is constant, f(x) = 4
if 3≤ x ≤ 5
In this region we can see a linear relationship, with the points (3, 2) and (5, 4)
as the extremes, we can find the slope of this linear equation as:
s = (4 - 2)/(5 - 3) = 2/2 = 1
So our equation is
f(x) = 1*x + b
to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:
2 = 1*3 + b
b = 2- 3 = -1
then f(x) = 1*x - 1
Then we have:
f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
