Answer:
y= -3x + 7
Step-by-step explanation:
y intercept= 7
slope= -3
Answer : Option D is correct i.e [2.5,4]
Explanation :
Suppose our function is f(x)
then the value of f(x) is minimum where
it reaches -0.44 and 3 with two different intervals .
As we know that for finding the local minimum ,
the criteria is that f'(x)=0 .
So, here
f'(-0.44)=0 and
f'(3)=0
both are the local minimum point for the function f(x)
but -0.44 is the global minimum point .
In our case for [2.5,4] is the required interval where f(x) reaches its local minimum.
Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.
To Find : The width of the frame .
Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;

Where , l is the length of the rectangle and b is the breadth of the rectangle .
⇒ Perimeter = 2 ( l + b ) .
⇒ 52 in. = 2 ( 12 + x ) in.
⇒ 52 in.= 24in. + 2x .
⇒ 2x =( 52 - 24 ) in
⇒ 2x = 28 in.
⇒ x = 28/2 in.
⇒ x = 14 in.
<u>Henc</u><u>e</u><u> the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>recta</u><u>ngle</u><u> </u><u>is</u><u> </u><u>1</u><u>4</u><u> </u><u>inches</u><u>.</u>
The 2nd one or either the last one, I suggest the last one hope this helps!!