Answer:
m =-6
Step-by-step explanation:
To solve for the unknown variable, m, we have to get m by itself. Perform the opposite of what is being done to the equation.
-8m-9=39
9 is being subtracted from-8m, so add 9 to both sides. Addition is the opposite of subtraction.
-8m-9+9=39+9
-8m=39+9
-8m=48
-8 and m are being multiplied. Divide both sides by -8, because division is the opposite of multiplication
-8m/-8=48/-8
m=48/-8
m= -6
The function would be y = 0.45x, x being the number of seconds, y being the items he can ring up.
For example (this is an example only to show how this equation works), if we were looking at how many items the cashier can ring in 5 seconds, we would make the equation y = 0.45(5), and with multiplication, we can find that they would ring 2.25 items ( y = 2.25 )
If I misunderstood this question or got something wrong, please leave a comment and I can help further.
Answer:
y(0) = 0.25 feet


Step-by-step explanation:
We are given the following information in the question:
The displacement from equilibrium of an oscillating weight suspended by a spring =

where y is the displacement in feet and t is the time in seconds.
Here, cos is in radians.
1) t = 0

y(0) = 0.25 feet
2) t = 


3) t = 


The negative sign indicates the opposite direction of displacement.
Answer:
m∠ABD = 88º
m∠CBD = 23º
Step-by-step explanation:
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
------------------------
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
Hey there!!
Fill in the blanks :-
⇒ First graph the line. Locate the <u>value of x </u>on the x-axis. Draw a vertical line from <u>point plotted on the x-axis </u>to the graph of the function and a horizontal line segment from the graph of the function to the y-axis.
<em>Find the value of f(x) when x is -2. </em>

Remember :- <u><em>f(x) is basically the y-value. It is just denoted as _f(x), it stands for function of x. Which means, the value of y, depends upon the value of x or the function of x. </em></u>
Given : x = - 2
Plugging in the values :
... 
... 
... 
The last fill in the blank :
The value of y on the y-axis is the value of the function. Therefore, the value of f(x) is <u>-7 </u>when x is -2.
Hope it helps!!