Answer:
y=-2x+5
Step-by-step explanation:
y=-2x+b
7=2+b
b=5
Therefore, y=-2x+5
Answer:
A) l = w + 900
B) l * w = 4,000,000
B) l = 4,000,000 / w putting this into A)
A) 4,000,000 / w = w + 900
A) 4,000,000 = w^2 +900 w
A) w^2 +900 w - 4,000,000
Solving by quadratic formula
width = 1,600 length = 2,500
Double-Check
1,600 * 2,500 = 4,000,000
Length = width + 900
2,500 = 1,600 + 900
Answer is okay
Step-by-step explanation:
Answer:
b = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 12² = 15²
b² + 144 = 225 ( subtract 144 from both sides )
b² = 81 ( take the square root of both sides )
b =
= 9
To solve this problem, we must use the order of operations outlined by PEMDAS, which tells us that we should simplify or compute parentheses first, then exponents, multiplication, division, addition, and finally subtraction.
Using this method, we have to perform the multiplication inside the parentheses first.
(20 * 40) * 14
800 * 14
Finally, we must perform the final operation to simplify this expression, which is multiplication.
800 * 14 = 11200
Therefore, your final answer is 11200.
Hope this helps!
Answer:
The equation is given by:

Step-by-step explanation:
Sine function:
Has the following format:

In which A is the amplitude and
is the period.
Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees
This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that 
During a 24-hour day, which means that the period is 24. So




So the variation is:

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
Initial temperature of 80, so:
