Answer:
<em>Equation; y = - x + 3</em>
Step-by-step explanation:
To determine the equation, let us first determine the slope of the line, through the equation ( y2 - y1 ) / ( x2 - x1 ), in this case where y2 ⇒ 1, y1 ⇒ 5, x2 ⇒ 2, and x1 ⇒ -2;
( 1 - 5 ) / ( 2 - ( - 2 ) ) ⇒ Simplify,
( - 4 ) / ( 4 ),
<em>Slope; - 1</em>
Now that we have the slope, let us substitute this known value into the point - slope equation in the following form;
y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,
( So far we have ) y = - x + b,
Let us solve for the value of b in y = - x + b by substituting one of the points, say ( 2 , 1 ) where x ⇒ 2, and y ⇒ 1;
( 1 ) = - ( 2 ) + b,
1 = - 2 + b,
b = 3;
<em>Equation; y = - x + 3</em>
In military time it would still be 7:45 am
Answer:
The domain is (-∞,∞) and range is (k,∞)
Step-by-step explanation:
The graph is given as 
.
When x =0, we have f(x) 
= y intercept
Consider the exponential function y = 
.
This is defined for domain all real numbers and range = (0,infinity) for all positive a.
This function is transformed into our function by horizontal shift of h units to left and vertical units of k units up.
i.e. Y = y-k and X = x-h
Since x has domain as set of all real numbers X also set of real numbers
So domain is (-∞,∞)
Since range of original graph is (0,∞), we have Y minimum value as k and max as infinity.
Range = (k,∞)
Answer:
Step-by-step explanation:
hello :
5(x + 7)² = 245
(x + 7)² = 49
x=0 is solution but you have other solution -14 because :(-14+7)² = (-7)² =49
here is an solution Step-by-step :
(x + 7)² = 49 means : (x + 7)² = 7²
(x + 7)² - 7²=0 use identity : a²-b² = (a-b)(a+b)
a=x+7 and b= 7
(x+7-7)(x+7+7) = 0
x(x+14)=0
x=0 or x+14=0
so : x=0 or x= -14
