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2 years ago

Consider the equation x^2-7x-8=0 and describe it's roots

Mathematics

1 answer:

statuscvo [17]2 years ago

3 0

Answer:

there are two different, real roots.

Step-by-step explanation:

The coefficients of this quadratic are {1, -7, -8}. Let's find the discriminant, b^2 - 4ac. In this case a = 1, b = -7 and c = -8 and so the discriminant value is

(-7)^2 - 4(1)(-8), or 49 + 32, or 81.

Because the discriminant is positive, we know immediately that there are two different, real roots.

We are not asked to find the roots, but let's do it anyway:

-(-7) ± √81

x = ------------------ => x = 8 and x = -2 (which are real and different from

2 one another).

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A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases o

Vladimir79 [104]

Answer:

2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

Step-by-step explanation:

Let the case of soya beans drink be x and let the case of fruit juice be y

We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.

This means that;

10x + 8y = 4x + 11y

Rearranging, we have;

10x - 4x = 11y - 8y

6x = 3y

Thus;

y = 6x/3

y = 2x

This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

8 0

2 years ago

Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

2 years ago

Solve my question please, I’ll mark u as brainlest if the answer is correct and if you solved my question!!!

ikadub [295]

Answer:

x = price of balcony tickets = $7

y = price of orchestra tickets = $21

Step-by-step explanation:

Let

x = price of balcony tickets

y = price of orchestra tickets

y = 3x (1)

148y + 76x = 3,640 (2)

Substitute y = 3x into (2)

148y + 76x = 3,640 (2)

148(3x) + 76x = 3,640

444x + 76x = 3,640

520x = 3,640

x = 3,640/520

x = 7

Substitute x = 7 into (1)

y = 3x (1)

y = 3(7)

y = 21

x = price of balcony tickets = $7

y = price of orchestra tickets = $21

3 0

2 years ago

4×+12=36 what number goes in the x?

Nataliya [291]

You can work this out by rearranging the equation and isolating the x.

4x + 12 = 36

4x = 36 - 12 (I moved the +12 to the other side, which means it becomes -12)

4x = 24 (36 - 12 = 24)

x = 24 / 4 (You need to isolate the x, and because it was being multiplied by 4, I divided both sides by 4 to leave me with just x)

x = 6 (24 divided by 4 is 6).

8 0

2 years ago

Find the coordinates of the vertices of each figure after the given transformation.

antiseptic1488 [7]

Answer: 9

Step-by-step explanation: process of elimination

7 0

2 years ago

Consider the equation x^2-7x-8=0 and describe it's roots​

Consider the equation x^2-7x-8=0 and describe it's roots