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Andrew [12]
3 years ago
8

1. x+3y=6 y = 8x + 9

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

x=-(21)/(25),y=(57)/(25)

Step-by-step explanation:

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Help pleaseeeeeeeeeeeeeeeeeee
klemol [59]

The first equation

6x^2 -18x-24=0

-the graph opens up

6(x^2 -3x -4)=0

6(x^2 -3x +9/4-4-9/4)=0

6(x-3/2)-25x6/4=

6(x-3/2)-75/2

-Vertex is at (3/2, -75/2)

-Axis of symmetry is x=3/2

Second equation

3r^2 -16r -12=0

-the graph opens up

...

7 0
3 years ago
Read 2 more answers
una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la
seropon [69]

Answer:

The formula for calculating the width of the window is

w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

P=2(l+w)

we have

P=6\ m

so

6=2(l+w)

simplify

3=(l+w)

isolate the variable l

l=3-w ----> equation A

The area of the window is equal to

A=lw

we have

A=2\ m^2

so

2=lw ----> equation B

substitute equation A in equation B

2=(3-w)w

solve for w

2=3w-w^2

w^2-3w+2=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

w^2-3w+2=0

so

a=1\\b=-3\\c=2

substitute in the formula

w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}  --->  formula for calculating the width of the window

w=\frac{3(+/-)\sqrt{1}} {2}

w=\frac{3(+/-)1} {2}

w=\frac{3(+)1} {2}=2\ m

w=\frac{3(-)1} {2}=1\ m

7 0
3 years ago
Pls help! 50 POINTS!
nirvana33 [79]

Answer:

See below.

Step-by-step explanation:

1)

So we have the equation:

2x+3y=1470

To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:

(2x+3y)-2x=(1470)-2x

The left side cancels:

3y=1470-2x

Now, divide both sides by 3. The left side cancels:

(3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490

The slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

Thus, the slope is -2/3 and the y-intercept is 490.

2)

So, since we already know the y-intercept is 490, plot a point at (0,490).

The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move <em>down</em> 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.

3)

To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.

y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490

This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.

For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.

4)

Please refer to the attached graph.

5)

First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.

5 0
3 years ago
Read 2 more answers
Division 542 dividido 2 y resta
vodomira [7]

Answer: 271

Step-by-step explanation:

\frac{542}{2}=\frac{500+40+2}{2}=250+20+1+=271

5 0
1 year ago
which table below represents a non proportional relationship give at least two reasons the justify your choice
Gennadij [26K]

Answer:

umm wait let me try give me time

7 0
3 years ago
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