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2 years ago

Which graph represents this system? 2x-5y=-5 Y=2/5x+1

Mathematics

2 answers:

zhenek [66]2 years ago

7 0

both equations line up

Rom4ik [11]2 years ago

4 0

Answer:

The given system is formed these equations

$2x-5y=-5$

$y=\frac{2}{5}x+1$

If you pay careful attention to this system, you would see that both equations represent the same thing, but they are just written in different ways. To demonstrate this, let's isolate $y$ in the first equation

$2x-5y=-5\\-5y=-5-2x\\y=\frac{-5-2x}{-5}\\y=1+\frac{2}{5}x$

Which is the same than $y=\frac{2}{5}x+1$ . But, what does it mean this?

It means that the graph must show one line over the other one, or you can see it as the same single line, because both equation are just the same. This also means that the system has infinite solutions.

The image attached shows the behaviour described.

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A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1)

Maslowich

Answer:

Y=3x(x-4)

Step-by-step explanation:

4 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!!<br><br> Simplify.

NNADVOKAT [17]

Answer: $\frac{2x(5x + 1)}{4x - 1}$

<u>Step-by-step explanation:</u>

$\frac{4x^{3}-12x^{2}}{4x^{2}+7x - 2}$ ÷ $\frac{2x^{2}-6x}{5x^{2}+11x + 2}$

= $\frac{4x^{2}(x - 3)}{(4x - 1)(x + 2)}$ ÷ $\frac{2x(x - 3)}{(5x + 1)(x + 2)}$

= $\frac{4x^{2}(x - 3)}{(4x - 1)(x + 2)}$ x $\frac{(5x + 1)(x + 2)}{2x(x - 3)}$

= $\frac{2x(5x + 1)}{4x - 1}$

8 0

2 years ago

A sporting goods store has a sale on soccer balls: if you buy two soccer balls at the regular price, you get a third soccer ball

Snowcat [4.5K]

Answer:

The regular price of the balls is $8

Step-by-step explanation:

The sporting goods store sales promotion is as follows;

The price of the third ball after buying two balls at regular price = $1.00

The price of the number of balls Coach John pays for the balls he bought = $136

To buy 24 balls, we have;

2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1

Therefore;

The number of balls bought at regular price = The sum of the 2s = 16 balls

The number of balls bought for $1 = 24 - 16 = 8 balls

Let x represent the regular price of the balls, we have;

16 × x + 8 = 136

16·x = 138 - 8 = 128

x = 128/16 = 8

The regular price of the balls = x = $8.

7 0

2 years ago

Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75.percent f

irinina [24]

Answer:

33%

Step-by-step explanation:

Assuming the weight of the mixture to be 100g**, then the weight of ryegrass in the mixture would be 30g.

Also, assume the weight mixture X used in the mixture is Xg, then the weight of mixture Y used in the mixture would be (100-X)g.

So we can now equate the parts of the ryegrass in the mixture as:

0.4X + 0.25(100-X) = 30

<=> 0.4X + 25 - 0.25X = 30

<=> 0.15X = 5

<=> X = 5/0.15 = 500/15 = 100/3

So the weight of mixture X as a percentage of the weight of the mixture

= (weight of X/weight of mixture) * 100%

= (100/3)/100 * 100%

= 33%

3 0

3 years ago

Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle

Whitepunk [10]

Answer:

$(6\sqrt{3},\,\frac{5\pi}{6})$

Step-by-step explanation:

The radius r can be found from the relationship

$r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}$

The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.

$\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}$

See the attached image.

7 0

2 years ago