Answer:
1. (x+8)(x-4)
2. 3x-20
Step-by-step explanation:
1. x² + 4x – 32
x² + 8x - 4x - 32
x (x+8) - 4 (x+8)
one of the x+8's is cancelled out then you have (x+8)(x-4)
2. x2 + x - 20
2x+x-20
3x-20
The phase shift is the value of the angle when the variable
in the angle is zero.
The angle in the sin function in this equation is (pi X + 2).
When the variable 'X' is zero, the angle is 2 .
So the phase shift of this sin function is 2 (of whatever
the unit of the angle is ... 2 degrees, 2 radians, etc.)
It will be understood that population 6,000 billion (6*10^12) in 2017.
If this is not the case, follow the logic and the final number can be adjusted easily.
Mathematical answer:
In 2017: 6,000 billion=6000*10^9 =6*10^12
rate of increase = 1.3% per year (assumed constant)
final year = 2100
Population estimate in 2100
=6*10^12*(1.013^(2100-2017))
=6*10^12*(1.013^(83)
=6*10^12*(2.921352509198383)
=17.528*10^12
=17,528 billion.
<u>The value of the expression is -35.</u>
<u>Step-by-step explanation:</u>
<u>Consider the provided expression.</u>
<u>3x + y </u>
<u>We need to find the value of the expression for x=13 and y=−74 .</u>
<u>Substitute the value of x=13 and y=−74 in the above expression as shown:</u>
<u>3 (13) + (-74)</u>
<u>39 - 74 </u>
<u>-35</u>
<u> the value of the expression is -35.</u>
Answer:
5 inches
Step-by-step explanation:
add all them and divide by 5.
