Answer:
5. 3.93833333333 rounded: 3.94
6.Start with 1.8, then add 1.05 repeatedly or Start with 1.8, then add 1.05 repeatedly
Step-by-step explanation:
Hello :
f'(7) = the slope of the tangent line : let A(7,4) B(0,3)<span>
<span>the slope is : (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>
-2x + 3 > 3(2x - 1)
the inequality sign > means 'greater than'.
First simplify the right side of the equation by distributing the 3 over the parentheses:-
-2x + 3 > 6x - 3
Now add -6x to both sides of the inequality which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6
The next step is to divide both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes less than (<):-
-8x / -8 < -6/-8
x < 3/4 is your answer.
The given expression is:
(x/2) + 5
Let's look at each terms separately:
x/2 means that you you're getting half the value of a number
+5 means that you are adding 5
Combining both, you can conclude that you are adding 5 to half a certain given number.
Comparing this with the choices, the correct choice would be:
C. five more than half a number.
