Answer:
<h2>11 and 12</h2>
Step-by-step explanation:
You know that 134 is between 11^2 and 12^2 which is 121 and 144.
So the two integers would be 11 and 12
Hope this helps :)
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:

Using the slope formula. we get



Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:




Adding 5 on both sides, we get


Therefore, the equation for the given data is
.
The answer would be -105. If you multiply 7 x -15 it would give you -105 and then you would have to divide -105 by 7 and its equal to -15.
Answer:
It looks as though it would be A because it starts at 30 and goes up steadily by 5. B increases too quickly, C does not increase, and D decreases.
Step-by-step explanation:
Answer: Width = 24 inches
Step-by-step explanation:
Let W represent the width of the rectangular sign.
The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be
W/2 + 6
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be
W(W/2 + 6) = 432
W²/2 + 6W = 432
Multiplying both sides of the equation by 2, it becomes
W² + 12W = 864
W² + 12W - 864 = 0
W² + 36W - 24W - 864 = 0
W(W + 36) - 24(W + 36) = 0
W - 24 = 0 or W + 36 = 0
W = 24 or W = - 36
Since W cannot be negative, then
W = 24