Answer:
I think its B
Step-by-step explanation: I'm not 100% sure
Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.
<h3>Slope of a function</h3>
Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.
The formula for expressing the slope of a function is given as;
f'(x) = f(b)-f(a)/b-a
a and b are the intervals
The slope can also be expressed as a function of its coordinate (x, y)
Slope = y2-y1/x2-x1
Learn more on slope here: brainly.com/question/1884491
Answer:
Step-by-step explanation:
New height to initial height=
10/4=2.5
New width from initial width should be 5×2.5=12.5inches
Answer: 800 feet²
Step-by-step explanation:
Lets remove the brackets from the function's expression
A(x) = -2x²+80x
So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max
As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)
Lets find X1 and X2
x(80-2x)=0
x1=0 80-2*X2=0
x2=40
So Xmax= (0+40)/2=20
So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²
Answer:
a). x + y + 90° = 180°
b). x = 67°
y = 23°
Step-by-step explanation:
The sum of all angles in a triangle is 180°.
One of the angles in the figure is a right angle, or 90°. Therefore the sum of the three angles in the figure is:
x + y + 90 = 180
We are also told that x + 2 = 3y.
Rearranging that to isolate x gives us:
x = 3y - 2
Thake the first equation and substitute the above expression of in place of x:
x + y + 90° = 180°
(3y-2) + y + 90° = 180°
4y + 88° = 180°
4 y = 92°
y = 23°
To find angle x, use y = 23°
x = 3y - 2
x = 3*(23°) - 2
x = 67°
The sum 90° + 67° + 23° = 180°
