Answer:
The points have a positive trend and are most likely linear
Answer (C)
Step-by-step explanation:
∵ The graph represents the relation between the numbers
of calories and the total amount in fat in different types
of sandwiches
∵ Both values increase together
∴ Correlation is Positive
∵ If you draw the line best fit to check if it's strong or weak
Most of point will be on the line
∴ The points have a positive trend and are most likely linear
∴ The answer is (C)
Answer:
the ratio of the following x is 3/4
Answer:
The first step is to replace the y in y-x=15 with 7x (we can do this because the first equation tells us that they're equal)
solve and get
(2.5,17.5)
or x= 2.5 y=17.5
Step-by-step explanation:
The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x
7x-x=15
6x=15
x=2.5
Then we can solve for y
y=7(2.5)
y=17.5
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where
(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex
This is also called vertex form because the vertex (h,k) is grouped according to their variable.
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be
y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.
The final equation is
x²+6x+9=y-8+9
(x+3)²=y+1
Answer:
A. c = 0.31b
Step-by-step explanation:
$7.44 = 24 juice bottles
[Divide by 24 on both sides]
$0.31 = 1 juice bottle
The cost is equal to the amount per juice bottle times the number of juice bottles, so:
c = 0.31b
(A trick to use when you don't know the answer: If there are multiple answers with the same numbers but the decimal places are in different places, it is probably one of those answers.)