Answer:
Seven more than a number
Step-by-step explanation:
More than means + that number after the term. Because +7 comes after y, +7 is more than.
Answer:
y = - 3
Step-by-step explanation:
Locate x = 2 on the x- axis, then go down vertically until the line is met.
Then read the corresponding y- coordinate at this point.
When x = 2 the value of the function is y = - 3
Answer:
-20
Step-by-step explanation:
-5^2+8|-1|+(-3)
-25+8x1-3
-25+8-3
-17-3
-20
Answer:
this is true
Step-by-step explanation:
a supplementary angle adds up to 180 degrees. two accute angles would equal to around 90 and two obtuse angles would add up to more than 180. two right angles are perpendicular and they could work but since the question asks about acute and obtuse, its true that one angle must be acute and the other must be obtuse for it to add up to 180.
a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have
Evaluate the integral to solve for y :
Use the other known value, f(2) = 18, to solve for k :
Then the curve C has equation
b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:
The slope of the given tangent line is 1. Solve for a :
so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).
Decide which of these points is correct:
So, the point of contact between the tangent line and C is (-1, -3).