MATHEMATICS HIGH SCHOOL

For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200


0 ≤ x ≤ 15

−5 ≤ x ≤ 20

all real numbers

x ≥ 0

Answers

Answer 1
Answer: y = 2x² + 30x + 200
y = 2(x² + 15x + 100)

x² = x*x
100 ⇒ 1 x 100 ; 2 x 50 ; 4 x 25 ; 5 x 20 ; 10 x 10

200 = 2x² + 30x + 200
0 = 2x² + 30x + 200 - 200
0 = 2x² + 30x + 0
0 = 2(x² + 15x + ?)

−5 ≤ x ≤ 20
Answer 2
Answer:

Answer: −5 ≤ x ≤ 20

Step-by-step explanation:

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3х – 13 = 23
Please give an explanation to the answer

Answers

Answer:

x = 12

Step-by-step explanation:

This equation is very easy to solve.

3x - 13 = 23 Add 13 to both sides of the equation.

3x = 36 Divide by 3 on both sides of the equation.

x = 12

Then, check your answer by substituting the solved value.

3(12) - 13 = 23

36 - 13 = 23

23 = 23

Therefore, x = 12 is the solution to the equation.

Answer:

x = 12

Step-by-step explanation:

3x - 13 = 23

Bring non-variable numbers to other side:

3x = 36

Divide both sides by 3:

x = 12

F(x) =
1
2*-5
g(x) =f(x-3)
The graph of g is

Answers

Answer: the same as the graph of f, but shifted 3 units to the right. So, the graph of g(x) is a horizontal line at y=1, but shifted 3 units to the right.

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What is the standard form of two and twelve hundredths

Answers

2.12 that's the answer

2x + 4y = 123x - 5y = 10
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??

Answers

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)

To know more about equation:

brainly.com/question/29116504

#SPJ6
1)     This format that the two equations are in is called Standard Form, and it's formula is Ax+By=C. Slope-Intercept Form is another form in which linear equations can be written. It's expressed as y=mx+b. See how in SIF (Slope intercept form), the "y" is isolated? All you have to do is isolate the "y" in both equations given to you.

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!

The 2015 senior class from Puma High School raised funds for an end of the year party at Club Sizzle. If costs $4,000 to rent out Club Sizzle plus $20 per student for food and drinks. If the senior class raised $11,000, how many students can attend the end of year party?

Answers

Answer:

There are 350 students that will be able to go to the party

Step-by-step explanation:

First we must analyze the statement and build a equation based on that, for do that, we will divide the statement a take the information.

1. The 2015 senior class raised funds of $11,000: we will represent this incomes with with a T, so:

T = 11,000

2. The cost to rent out the club sizzle is $4,000 and we will represent this cost with a C, so:

C = 4000

3. The cost per students is $ 20 and we will represent this with a S, then:

S = 20

The question is: how many students can attend, to the party so, we will form the equation:

C + S*X = T

Where X is the number of students that can attend to the party. This equation means that the cost of the club plus 20 dollars per person have to be equal to 11,000.  

Replacing values of T, C and S, we get:

$4,000 + $20*X = $11,000

Now, we will solve for X

20*X = 11000-4000

X = (11000-4000)/20

X = 350

Finally, 350 students will be able to go to the party.

$11,000-$4,000=$7,000
$7,000/$20=350
350 students can attend the end of the year party

Write an equation in slope intercept form of a line that passes through the point (2,4) and is perpendicular to the graph of x-6y=2

Answers

-6y=2-x
y=x/6-1/3
so the slope for this line is 1/6,
therefore the slope for line perpendicular to this  line is -6
y=mx+b
subsitute (2,4)in
4=-6*2+b
you get b=16
so the equation  is y=-6x+16
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