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3 years ago

How many solutions does the system have? \begin{cases} 3y =- 6x+9 \\\\ y =-6x+9 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 3y=−6x+9 y=−6x+9

Mathematics

1 answer:

Viefleur [7K]3 years ago

3 0

Answer:

exactly one solution

Step-by-step explanation:

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An urn contains 10 marbles: 4 red, 3 white, 2 blue, and 1 orange. (4 points) (a) What is the probability of drawing a marble tha

photoshop1234 [79]

Answer:

a) 0.70

b) 0.30

c) 12/45 =4/15

d) 2/45

Step-by-step explanation:

a) Prob of drawing a marble red or white = No of red and white marbles/total marbles

= 7/10 = 0.70

b) Prob of drawing a marble neither red nor white = 1-7/10 = 0.30

c) Prob of drawing two marble one red and one white at the same time

= $\frac{4C1 (3C1}{10C2 } =\frac{12}{45}$

d) Prob of drawing two marble one blue and orange white at the same time

= $\frac{2C1 (1C1}{10C2 } =\frac{2}{45}$

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3 years ago

Convert 14° into radians manually (no calculator) please show work. Thank you in advance!!

Inessa [10]

1 degree is $\dfrac\pi{180}$ radians. So 14 degrees is $\dfrac{14\pi}{180}=\dfrac{7\pi}{90}$ rad.

Easy way to remember this: one complete revolution in a circle is 360 degrees. But it's also $2\pi$ radians. So the conversion rate is

$\dfrac{2\pi\,\rm rad}{360^\circ}=\dfrac{\pi\,\rm rad}{180^\circ}$

i.e. for every $\pi$ radians there are 180º.

7 0

4 years ago

Read 2 more answers

Sandra bought 3 pounds of nuts for $10.35. What is the unit price per pound

vampirchik [111]

The unit rate price per pound is $3.45.

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3 years ago

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how do you know if the solutions to a quadratic equations are inside, outside, on, inside and on, or outside and on the parabola

Nikitich [7]

Answer:

Option (1)

Step-by-step explanation:

Given quadratic equation in this question is,

y < -x²+ 4x + 5

Now we will convert this standard quadratic equation into vertex form,

y < -(x² - 4x) + 5

y < -[x² - 2(2)x + 2²] + 5

y < -(x - 2)²+ 5

This equation is in the form of y < a(x - h)² + k

where (h, k) is the vertex of the parabola.

Therefore, y < -(x - 2)²+ 5 will show the parabola with properties as,

1). Parabola having vertex at (2, 5).

2). Coefficient 'a' is negative, so parabola will open downwards.

3). In the inequality notation of less than, (sign < ) will show the solution area inside the parabola.

[If an inequality has a sign of greater than, solution area will be outside the parabola.]

Therefore, Option (1) will be the answer.

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4 years ago

Which one of the following U.S. customary units of volume is closest to 4 liters in volume? 64cups , 16quarts, 512 fluid ounces,

prohojiy [21]

Answer:

4.12 quarts

Step-by-step explanation:

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3 years ago

How many solutions does the system have? \begin{cases} 3y =- 6x+9 \\\\ y =-6x+9 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 3y=−6x+9 y=−6x+9 ​

How many solutions does the system have? \begin{cases} 3y =- 6x+9 \\\\ y =-6x+9 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 3y=−6x+9 y=−6x+9