Answer:
Step-by-step explanation:
<u>Let's simplify the problem.</u>
Hence, the solution to the problem is 625/4096.
Answer:
1=87°
2=93°
Step-by-step explanation:
angle 1 is the alternate interior angle of 87
angle 1 and angle 2 are supplementary angles
180-87=93
hopefully this helps :)
Answer:
f(-4) = 1
f(0) = 1
f(1) = - 
Step-by-step explanation:
1 if x ≤ -2
f(x) = -(x - 1)² + 2 if -2 < x < 1
-
x - 1 if x ≥ 1
To find f(-4)
∵ -4 < -2
- That means we will use f(x) = 1 because value of x in this
part is ≤ -2
∴ f(x) = 1
- Substitute x by -4, and remember f(x) = 1 is a constant function
which means the value of y for any value of x is 1
∴ f(-4) = 1
To find f(0)
∵ -2 < 0 < 1
- That means we will use f(x) = -(x - 1)² + 2 because value of x in this
part is between -2 and 1
∴ f(x) = -(x - 1)² + 2
- Substitute x by 0
∴ f(0) = -(0 - 1)² + 2
∴ f(0) = -(-1)² + 2
∴ f(0) = -1 + 2
∴ f(0) = 1
To find f(1)
∵ 1 ≥ 1
- That means we will use f(x) = -
x - 1 because value of x in this
part ≥ 1
∴ f(x) = -
x - 1
- Substitute x by 1
∴ f(1) = -
(1) - 1
∴ f(1) = -
- 1
∴ f(1) = - 
9x + 4x - 3x
9x + 4x = 13x
13x - 3x = 10x
10x = answer
Hope this helped!
<h3>Answer:</h3>
The two numbers are 17 and 9.
<h3>Explanation:</h3>
<em>System of Equations</em>
Let x and y represent the first and second numbers, respectively.
... x - y = 8 . . . . . . . . . the difference of the two numbers is 8
... x = 2y - 1 . . . . . . . . .the first number is one less than twice the second
<em>Solution</em>
The second equation gives an expression for x that can be substituted into the first equation.
... (2y -1) -y = 8
... y -1 = 8 . . . . . . . collect terms
... y = 9 . . . . . . . . . add 1
... x = 2·9 -1 = 18 -1
... x = 17
The first number is 17; the second number is 9.