Answer:
D
Step-by-step explanation:
Differentiate the function and set it to zero:
f'(x) = -10x + 13
0 = -10x + 13
x = 1.3 seconds
Plug the x value into f(x):
f(1.3) = -5(1.3)^2 + 13(1.3) + 6 = 14.45 meters
Answer:
C
Step-by-step explanation:
A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).
6-0 = 6
2 -0 = 2
The ratio is vertical over horizontal so 6/2 = 3.
The equation is y = 3x.
*The diagram is in the attachment
Answer:
q = 2√14
Step-by-step explanation:
To determine the value of q, apply the leg rule/geometric mean theorem, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 10 + 4 = 14
Leg = q
Part = 4
Plug in the values into the equation:
14/q = q/4
Cross multiply
q*q = 14*4
q² = 56
q = √56
q = √(4*14)
q = 2√14
Answer:
<em>Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.</em>
Step-by-step explanation:
Every time you have a difference in the format of
A2−B2 you can factor as (A−B)(A+B).
Then you have to identify if your quantity is the difference of two squared quantities.
It is. In fact we can write it as:
16x2−1=(4x)2−12
Then we can apply our rule

When baking and you need to know whether you have to buy a half a gallon or a gallon:)