Answer:
See below.
Step-by-step explanation:
There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.
Answer:
It would roll in this direction.
Step-by-step explanation:
It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.
Since
For this case, the gradient of your function would be
And -1 times the gradient of your function would be
Then, at
So it would go towards
The magnitud of that vector is
and to conclude it would roll in this direction.
Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0
Let us assume then that the center is the origin. If the major axis is 18, then a = 9 and a^2=81. If the minor axis is 16, then b = 8 and b^2=64. Now you can write the equation. Remember that this ellipse is vertical and so a^2 goes under y^2
The question is asking to state the two numbers that the product would be 18, base on my calculation, the possible answer would be 2 * 9, 1 * 18 and 3*6. I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications. Have a nice day
