Answer:
(a) rate of change = 8
(b) Function: y = 8x
(c) Domain: 0 ≤ x ≤ 2
Range: 0 ≤ y ≤ 16
Explanation:
Looks like a inverse variation sequence.
Inverse Variation formula: y = k(x)
Take two points: (1, 8), (2, 16)
Find the value of k which is constant also considered as <u>rate of change</u>.
<u>Insert values</u>:
===========
Equation: y = 8x
Domain lies in the x axis, Range lies in the y axis.
Answer:
The perimeter of the rectangle is 26 cm
Step-by-step explanation:
First find the area of the square by multiplying 6 by itself
A = 6 cm * 6 cm = 36 sq cm
Since the rectangle has the same area as the square, we can say that w * 9 = 36 sq cm
w * 9 = 36
Divide both sides by 9 to isolate the variable, w
w * 9 / 9 = 36 / 9
w = 4 cm
The width of the rectangle is 4 cm so now we just use that to find the perimeter of the rectangle
P = 2(9) + 2(4) = 26 cm
Answer:
Each mixture has the same amount of salt for every 1 cup of water.
Step-by-step explanation:
It is provided that:
- Nia mixed 1 teaspoon salt with 3 cups warm water.
- Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.
The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.
On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

Thus 1 : 3 is equivalent to the ratio
, which means that Nia's solution has
teaspoon of salt for every cup of water.
The ratio of the number of teaspoons of salt to the number of cups of water is
in Trey’s solution.
On dividing the amount of salt and the amount of water by
, the ratio will be the same.

So Trey’s ratio is also equal to the ratio
.
Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.
The linear function of the table of values is y = -1.5x + 25
<h3>How to plot the ordered pairs?</h3>
The table of values is given as:
<u>Sequence One Sequence Two Ordered Pair </u>
6 16 (6, 16)
8 13 (8, 13)
10 10 (10, 10)
12 7 (12, 7)
14 4 (14, 4)
From the above table of values, we can see that:
- As x constantly increases by 2 i.e. +1
- y constantly decreases by 3 i.e. -3
This means that the table represents a linear function, and the slope of the function is
m = -3/+2
This gives
m = -1.5
A linear function is represented as:
y = mx + c
This gives
y = -1.5x + c
Using the table of values, we have
16 = -1.5 * 6 + c
Evaluate the product
16 = -9 + c
Add 9 to both sides
c = 25
Substitute c = 25 in y = -1.5x + c
y = -1.5x + 25
Hence, the linear function of the table of values is y = -1.5x + 25
See attachment for the graph of the table
Read more about linear functions at:
brainly.com/question/4025726
#SPJ1
Answer:
4.2 units
most likely answer choice B
Step-by-step explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:

Let's plug in what we know.

Evaluate the parentheses.

Evaluate the exponents.

Add.

Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!