Y=2x²-x+4
1) we have to find the slope of this line.
we have to calculate the first derivative of this function.
y´=4x-1
The slope in x=3 will be: m(3)=4(3)-1=12-1=11.
2)We have to find a point of this line:
if x=3; ⇒y=2(3)²-3+4=18-3+4=19; Our point will be (3,19)
2) point-slope form: we need a point (x₀,y₀) and the slope.
y-y₀=m(x-x₀)
We know the slope (m=11) and the point (3,19); therefore:
y-19=11(x-3)
y=11x-33+19
y=11x-14
Answer: A. y=11x-14
Answer: Mike's arm span is 7.165 cm longer than the George's one.
Step-by-step explanation:
We have that the association between height and arm span is modeled by the equation
y = 4.5 + 0.977*x
where y is height and x is arm span.
Mike is 172 cm tall, so his arm span is:
172cm = 4.5 + 0.977*x
x = (172 - 4.5)/0.977 = 171.443 cm
and George is 165 cm tall, so his arm span is:
x = (165 - 4.5)/0.977 = 164.278 cm
Then the difference between their arm span is:
171.443cm - 164.278cm = 7.165 cm
So Mike's arm span is 7.165 cm longer than the George's one.
The answer is 6x if you simplify the equation
Answer:
The area of the piece of construction paper is 
Step-by-step explanation:
Length of construction paper =
=
Width of construction paper = 
= 
Area of construction paper =
Area of construction paper = 
=
Hence the area of the piece of construction paper is
Using the average rate of change, it is found that the average rate is of:
(1) 2.1 °F per minute
<h3>What is the average rate of change of a function?</h3>
It is given by the <u>change in the output divided by the change in the input</u>.
In this problem:
- At 15 minutes, the temperature was of 90ºF.
- At 45 minutes, the temperature was fo 153ºF.
Hence, in 30 minutes, the temperature increased 63ºF, hence the rate is given by:
r = 63/30 = 2.1 °F per minute.
More can be learned about the average rate of change at brainly.com/question/24313700
