Answer:
Step-by-step explanation:
Use the formula Sum = (a + L)*n/2
The tricky part is n. That's the number of terms between 1 and 99 inclusive.
n = 99 -1 + 1 = 99
n = 99
a = 1
L = 99
Sum = (1 + 99)*99 / 2
Sum = (100)*99/2
Sum = 4950
In solving algebraic expressions, there is an order in which to solve it.
1) perform the operation inside the parenthesis first
2) then perform the operation with the exponents
3) apply multiplication and division from left to right of the equation.
4) apply addition and subtraction from left to right of the equation.
Remember this: PEMDAS for easier recall. (parenthesis, exponents, multiplication, division, addition, subtraction)
Answer:
I'm pretty sure that the answers would go, Wrong, increased, 9 1/2 points, 6 5/8 points, dropped, 12 3/4 points.
Step-by-step explanation:
The reason why it would be wrong is because the amount of points lost was less than the total amount of points gained.
In week one and two the company gained 9 1/2 points and 6 5/8 points. When you add them together, you get 16 1/8 points.
In week three the company lost 12 3/4 points. If you multiply the fraction to change the denominator to 8, the mixed fraction becomes 12 6/8.
16 1/8 - 12 6/8 = 3 3/8
As you can see, there are still points left over.
In the fourth week, they ended up losing all of their points and then some more, but from my understanding it's just asking about the third week.
Hope that this helps!
Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
