Moria solves a problem on the board. What error did Moria make and how can she correct it? 12x + 10 = 54- 10x
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Answer:
12x + 10 = 54 - 10x
12x + 10x = 54 - 10
22x = 44
divide both side by 22
22x= 44
22 22
x = 2
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In this function x represents the number of hours his one employee works.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function p(x)=8600-22x.
The variable x represents the number of hours the employees. The total payment will be calculated by using the expression below,
p(x)=8600-22x
Hence, the value x is the number of hours employees worked.
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Answer: 4 tenths, 3 hundredths, and 7 thousandths.
what do you mean
it's just 0.437
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The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
At its highest point, the brick was 101 meters above the ground.
What is the vertex form of a quadratic function?
The factored form of a quadratic function is given as:
f(x) = a(x – h)2 + k
where a, h, and k are constants.
We have,
h(t) = -5t² + 20t + 105
h(t) = -5 ( t² - 4t ) + 105
h(t) = -5 ( t² - 4t + 2² ) - 2² + 105
h(t) = -5 ( t - 2 )² - 4 + 105
h(t) = -5 ( t - 2 )² + 101 _____(1)
The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
From equation (1) we can say that at its highest point the brick was at
101 meters above the ground.
Thus,
The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
At its highest point, the brick was 101 meters above the ground.
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Answer:
h(t)=−5(t−2)^2+125, 125
Step-by-step explanation:
A. Write the equations in slope-intercept form. (Show your work.)
B. Graph the pair of linear equations.
C. Use the graph to estimate the solution to the system of equations.
Help??
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A. The first equation in slope-intercept form is y = -0.5x + 3. The second equation in slope-intercept form is y = 0.6x - 2.
B. The graph of the two equations is attached below.
C. The solution of the system of equation is (4.545,0.727)
A. To write the equations in slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to isolate "y" on one side of each equation.
1. 2x + 4y = 12
First, isolate "y" by subtracting 2x from both sides:
4y = -2x + 12
Next, divide both sides by 4 to get "y" by itself:
y = (-2x + 12) / 4
Simplify the equation:
y = -0.5x + 3
So, the first equation in slope-intercept form is y = -0.5x + 3.
2. 3x - 5y = 10
First, isolate "y" by subtracting 3x from both sides:
-5y = -3x + 10
Next, divide both sides by -5 to get "y" by itself:
y = (-3x + 10) / -5
Simplify the equation:
y = 0.6x - 2
So, the second equation in slope-intercept form is y = 0.6x - 2.
B. To graph the pair of linear equations, plot the y-intercept (where x = 0) and use the slope to find other points.
1. Graph the equation y = -0.5x + 3:
Plot the y-intercept at (0, 3).
Use the slope -0.5 to find another point; for example, if x = 2, then y = -0.5(2) + 3 = 2.
2. Graph the equation y = 0.6x - 2:
Plot the y-intercept at (0, -2).
Use the slope 0.6 to find another point; for example, if x = 3, then y = 0.6(3) - 2 = 0.
C. To estimate the solution to the system of equations, look for the point where the two lines intersect. This point represents the x and y values that satisfy both equations simultaneously. From the graph, we can interpret that the solution of the system of equation is (4.545,0.727)
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2x+4y=12
-2x -2x
4y=-2x+12
/4 /4
y=-1/2x+3
3x-5y=10
-3x -3x
-5y=-3x+10
/-5 /-5
y=3/5x-2
2) To graph SIF, you need to know what each aspect of the equation is. The formula is y=mx+b.
m stands for slope. A great way to remember it is rise/run (rise over run). Basically, the numerator in "m" is how far up you go to graph each point, and the denominator is how far left or right you go (remember, left is negative, right is positive). Let me give you an example. y=3/5x. In this formula, to graph each point, on the line, you'd go up 3, and to the right 5, then plot a point, then up 3, right 5, plot another one... you get it. What if the equation was y=3x though? The slope would be 3/1, or up 3, right one.
You know how to plot the points, but what coordinate do you startat? That's where the Y-Intercept comes into play. The Y-Intercept is basically where the line crosses the Y-axis. The b in the SIF formula is the y-intercept, and where you plot your very first coordinate on the line. If the SIF equation was y=1x+3, your first coordinate would be on the y axis, at an elevation of 3. Since the y-axis is at x=0, the coordinate would be (0,3).
3) Look at the graph now. Where do the lines cross? The x should be somewhere between 4 and 5, and the y is somewhere between 1.5 and 2. Therefor, your "estimation" should be something like (4.5,1.75)
I really hoped this helped you! It took a while to write so I'd appreciate if you'd choose the Brainliest answer -- thanks!