Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
Answer: 40
Step-by-step explanation:
1 hour and 30 min is 15 pages read
If you read for three hours its 30 pages
An hour and a half is three parts of 30 so three parts of 15 is five
But you need a whole hour so its ten
Then you add 10 and 30
Its 40 pages in 4 hours.
Answer:
Step-by-step explanation:
Point slope form: y−7=34(x−3)
Slope intercept form: y=34x+194..or..y=34x+434
Explanation:
Since you have one point and the slope, you can use the point slope formula, then solve for y to get the slope intercept form, so that you can determine the y-intercept (b). Then you can graph the resulting equation.
Point slope formula
y−y1=m(x−x1), where x1,y1=(3,7), and m=34 is the slope.
Substitute the given values into the formula.