You spent 9 dollars. why? because your neighbor spent 3 times more than you, which means you spent 1/3 of what he spent. so just multiply by 1/3 to get 9.
this can also be modeled by an equation. 3x = 27
divide 3 on both sides to get
x = 9
For this case we have the following original function:

We apply the following transformation:
Vertical displacements:
Assume k> 0
To graph f (x) - k, move the graph k units down.
Applying the transformation for k = 5 we have:

Therefore, the graph moves 5 units down.
Answer:
Third graph
Answer:
A. x = 11/16
Step-by-step explanation:
For the purpose here, it is convenient to rearrange the equation to f(x) -g(x) = 0. We know the root will be in the interval [0, 1] because (f-g)(0) = -3 and (f-g)(1) = +3. At each iteration, we evaluate (f-g)(x) at the midpoint of the interval to see which of the interval end points can be moved and still bracket the root.
Using the bisection method starting with the interval [0, 1] we find f(1/2)-g(1/2) < 0, so we can move the interval limits to [1/2, 1].
For the next iteration, we find f(3/4) -g(3/4) > 0, so we can move the interval limits to [1/2, 3/4].
For the third iteration, we find f(5/8) -g(5/8) < 0, so we can move the interval limits to [5/8, 3/4].
Then the root is approximately the middle of that interval:
x ≈ (5/8 +3/4)/2 = 11/16
_____
This value of x is 0.6875. The root is closer to 0.639802004233. The bisection method takes about 3 iterations for each decimal place of accuracy. Other methods can nearly double the number of accurate decimal places on each iteration.
Answer:
A. x=0 and x=4
Step-by-step explanation:
The roots of a quadratic function are the x intercepts of the parabola. In this case, the roots are 0 and 4 because the parabola intercepts the x axis twice in these points.
Your answer is A. x=0 and x=4
Hope I helped!
Answer:
6/21, 12/42
Step-by-step explanation:
Mary spends no more than 21 hours a week doing homework. If she spends 2/7 of the time doing her math homework.
The number of hours she spends doing her maths homework is calculated as:
= 2/7 × 21
= 6 hours
The other fractions that could represent the amount of time Mary spends doing her math homework is given as:
6 hours/21 hours = 6/21
Also , that could be represented as:
12/42
Therefore, the other fractions that could represent the amount of time Mary spends doing her math homework is : 6/21 , 12/42