Answer:
x=all real numbers
Step-by-step explanation:
1. distribute: 5(x+6)-2x=3(x+10)
5x+30-2x=3x+30
2. combine like terms 3x+30=3x=30
3. these are equal therefore x=all real numbers
Answer:
y = -28 ÷ x
Step-by-step explanation:
The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = 7 when x = -4 and y varies inversely with x.
So we substitute the values y = 7 and x = -4 in the equation y = k ÷ x
K = constant, we have to work this out
7 = k ÷ -4
7 × - 4 = k
k = - 4 × 7
k = -28
k = -28 So then we put this back into the original y = k ÷ x to find our final equation which is y = -28 ÷ x
Answer:Answer:
Option (c) is correct.
function representing the increase of bacteria every hour x,
Step-by-step explanation:
Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.
we have to find the function that represents the given scenario.
Let x represents the number of hours elapsed.
Given A colony contains 1500 bacteria
and number of bacteria is increasing at a rate of 115% each hour.
Using formula for Compound interest , we have,
Where A is amount
T is time period
R is rate of interest
Here, P = 1500
T = x hours
R = 115%
Let f(x) be the function representing the increase of bacteria every hour.
Substitute, we have,
Simplify, we get,
Thus, function representing the increase of bacteria every hour x,
A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).
The answer would be C because the y-intercept tells you what y when x is 0. In this case, y is wage and x is years of experience. So, if you have 0 years of experience you get an average of 7.25 dollars per hour, which is C.
