Answer:
Slope: 1/2.5
Y-intercept: -1
Step-by-step explanation:
You can just simplify to make an equivalent equation:
(2)(3x + 8) = 5 ⇒ 6x + 16 = 5
Answer:

Hope it helped,
BioTeacher101
<em>(If you have any questions feel free to ask them in the comments)</em>
Answer:
y-intercept: (0, 5); slope: 1/4
Step-by-step explanation:
The slope (m) is found from ...
m = (y2 -y1)/(x2 -x1)
Using the first two points in the table, this is ...
m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C
__
Then, the point-slope form of the equation of the line can be written as ...
y -y1 = m(x -x1)
y -6 = (1/4)(x -4) . . . fill in known values
y = 1/4x -1 +6 . . . . . add 6
y = 1/4x +5
Then the value of y when x=0 is ...
y = 0 +5 = 5
So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.
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<h3>✂----------------</h3><h3>hope it helps...</h3><h3>have a great day!!</h3>
Answer:
y - 7 = 4(x - 35)
Step-by-step explanation:
The fundamental theorem of calculus states that:
= f(x).
So using the fundamental theorem of calculus, you can find that h'(x) = f(x).
The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.
Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.
The slope of h(x) at x = 35 is 4.
Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.
The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.
Now use the point-slope formula to write the equation of the tangent line.
The answer is <u>y - 7 = 4(x - 35)</u>