The graph of the equation y = m^x passes through the point (1, m)
<h3>Equation of a graph</h3>
Given the equation of a graph expressed as y = m^x
We need to determine the coordinate point that lies on this graph.
If x = 1, substitute into the formula to have:
y =m^1
y = m
Hence the required coordinate will be (1, m)
Learn more on equation of graph here: brainly.com/question/24894997
Answer:
Yumiko should multiply the other equation by 3.
If she adds the two equations she would be left with the variable 'x'.
Step-by-step explanation:
Given the two equations are as follows:
It is given that she multiplies the first equation by 6. Therefore, (1) becomes
Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.
The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.
Therefore, Equation (2) becomes:
Now, we add Equation (a) and Equation (b).
Factor: 3
Equation: 27x = 126
Answer:
5 shirts must be sold.
Step-by-step explanation:
First, set up the equation. Each shirt (x) is sold for $16:
For every amount (y) for x: (y)(x) = (16)(y)
The cost is $4, with the setup fee as $60.
(16)(y) = (4)(y) + 60
16y = 4y + 60
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. First, subtract 4y from both sides.
16y (-4y) = 4y (-4y) + 60
16y - 4y = 60
12y = 60
Next, isolate the variable (y). Divide 12 from both sides.
(12y)/12 = (60)/12
y = 60/12
y = 5
5 shirts must be sold.
To check, plug in 5 for y in the equation:
16y = 4y + 60
16(5) = 4(5) + 60
Simplify.
16(5) = 4(5) + 60
80 = 4(5) + 60
80 = 20 + 60
80 = 80 (True).
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Answer:
A
Step-by-step explanation:
firstly you have to find the rate of change of the various price index in percentage.
A, From 106 to 112:
we find the difference 112-106 = 6
then the rate of change = 6/106 * 100 = 5.66%.
B ,From 112 to 118:
we find the difference 118-112 = 6
then the rate of change = 6/118 * 100 = 5.36%.
C ,From 118 to 124:
we find the difference 124-118 = 6
then the rate of change = 6/124 * 100 = 5.08%.
we can see that the price index with the greatest percentage is A.
Answer:
15,35
Step-by-step explanation:
In absolute value you just remove the negative sign. Absolute value of something is always positive.
