HELP PLS! THANK YOU SO MUCH! Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quadratic equation tell about the solutions to 3x^2-6=2x

Answer:

Hey there!

The next three terms are: -64, 128, -256.

Let me know if this helps :)

Answer:

-64, 128, -256

Step-by-step explanation:

Times -2 every step

Answer:

12.8 cm^2

Step-by-step explanation:

Angle subtended by the sector=70

Radius of the circle= 21 cm

Area of the sector =[tex]\frac{given angle}{360}[/tex] x [tex]\pi r^{2}[/tex]

                              =    [tex]\frac{70}{360}* \frac{22}{7}*21\\\\\frac{70}{360 } *22*3\\\frac{77}{6}\\ 12.8[/tex]

Answer:

one large box equals 15.75kg

one small box equals 13.75kg

Step-by-step explanation:

First, identify your variables:

Let "l" represent the weight of one large box.

Let"s" represent the weight of one small box.

Then, stack the two equations on top of each other:

[tex]5l+3s=120\\7l+9s=234[/tex]

Next, multiply the first equation by 3 so we can use elimination of the "s" variable to find the "l" variable first:

[tex]3(5l+3s=120)\\7l+9s=234\\\\15l+9s=360\\7l+9s=234[/tex]

Now, subtract the two equations to cancel out the s-variable and find the l-variable:

[tex]15l+9s=360\\-(7l+9s=234)\\8l=126\\\frac{8l}{8}=\frac{126}{8}\\l=15.75[/tex]

Then, substitute your l-variable in the original first equation to find the s-variable:

[tex]5l+3s=120\\5(15.75)+3s=120\\78.75+3s=120\\78.85-78.75+3s=120-78.75\\3s=41.25\\\frac{3s}{3}=\frac{41.25}{3}\\s=13.75[/tex]

With all the information that is collected, you find that one large box weighs 15.75kg and one small box weighs 13.75kg.

Answer:

1/ N = 1 / 5 + 1/ 4 - 1/ 3 + 1/12

taking L.C.M

Then,

or, 1/N = 5 + 6 / 20 - 13+ 4 / 12

or, 1/N = 11/ 20 - 7/12

or, 1/N = 14 - 12 / 60

or, 1/N = 2 / 60

NOW,

Do cross multiplication,

60 = 2N

or, 60 / 2 = N

so, N = 30

ANS

Answer:

This question is not complete. Let me explain the concept of combination and permutation.

Step-by-step explanation:

The general formula for factorial is n! = n×(n - 1)×(n - 2)×...×2×1

0! = 1

Example 1:

How many different words can we make using the letters D, S, K and Z?

Solution:

We have 4 letters here.

Therefore, to get the possibility of the numbers, we will use:

4! = 4 x 3 x 2 x 1 = 24. We have 24 different words that can be made with the letters.

Permutation

The general formula for permutation is n P r = n! / (n - r)!

Example 2:

Find 5 [tex]P_{3}[/tex]

Solution: This will give 5!/(5-3)! = (5 x 4 x 3 x 2 x 1) / 2!

= 120 / 2 x 1 = 120 / 2 = 60

Combinations

The general formula for combination is n C r = n! / [ (n - r)! r! ]

Example 3:

Find 4[tex]C_{3}[/tex]

Solution: 4[tex]C_{3}[/tex] will give 4!/(4-3)!3! = (4 x 3 x 2 x 1) / 1!3!

= 24 / 1(3 x 2 x 1) = 24 / 6 = 4

Example 4: In Nigeria, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 followed by 3 letters from the alphabet. How many number plates will be formed if neither the digits nor the letters are repeated?

Solution: Note that we have 26 letters in the alphabet chart.

(9 P 4) × (26 P 3) = 9!/(9-4)! x 26!/(26-3)! = 47,174,400

Answer:

The size of file downloaded is  88 megabytes.

Step-by-step explanation:

Given that:

Average rate of downloading the file = [tex]r[/tex]

Time taken to download = [tex]t[/tex]

Formula for the size of file downloaded = [tex]r.t[/tex]

Rate of downloading, [tex]r = 800\ kilobytes/sec[/tex]

Time taken, [tex]t[/tex] = 110 seconds

To find:

Size of file downloaded in megabytes = ?

Solution:

First of all, let us apply the given formula to find the size of file downloaded:

Size of file downloaded = [tex]r.t[/tex]

Size of file downloaded = 800 kilobytes seconds [tex]\times[/tex] 110 seconds =

88000 kilobytes.

Now, let us convert the unit kilobytes to megabytes to find the answer.

Conversion formula:

1000 kilobytes = 1 megabyte

Let us use unitary method to find the number of megabytes in 88000 kilobytes.

1 kilobytes = [tex]\frac{1}{1000}[/tex] megabytes

88000 kilobytes = [tex]\frac{1}{1000} \times[/tex] 88000 megabytes

[tex]\Rightarrow[/tex] 88 megabytes.

Therefore, the size of file downloaded is  88 megabytes.

Answer:

800/1000*110

Step-by-step explanation:

Answer:

537.2 ft^2

Step-by-step explanation:

For this problem, we need to find the area of both the inner and outer circle and subtract the area of the outer circle from the area of the inner circle.

The equation for the area of a circle is:

A = πr^2

So we are given the diameters of the circles.  We know that the diameter of a circle is twice the radius.

Let's find the area of the 10ft diameter circle:

A_Little = π(10/2)^2 = π(5)^2 = 25π

Let's find the area of the 28ft diameter circle:

A_Big = π(28/2)^2 = π(14)^2 = 196π

So the area of the big circle excluding the inner circle would be as follows:

196π - 25π = 171π

So 171π in terms of decimals rounded to the nearest tenth would be 537.2.

Cheers.

Area of big remain circle is 536.94 feet²

Given that;

Diameter of big circle = 28 feet

Diameter of small circle = 10 feet

Find:

Area of big remain circle

Computation:

Radius of big circle = 28 / 2 = 14 feet

Radius of small circle = 10 / 2 = 5 feet

Area of big remain circle = π(R1² - R2²)

Area of big remain circle = 3.14(14² - 5²)

Area of big remain circle = 3.14(171)

Area of big remain circle = 536.94 feet²

Find out more information about 'Area of circle'

https://brainly.com/question/1238286?referrer=searchResults

I’m thinking the graph should look like this since it starts at (0,10) and $1 for each book which is the x. I apologize if it’s wrong

Answer:

5.009, 5.09, 5.7, 5.7081

Answer:

5.009, 5.09, 5.7, 5.7081

Answer:

B) skirt 1, white

skirt 1, black

skirt 2, white

skirt 2, black

Step-by-step explanation:

You can wear skirt type 1 in white or black, or skirt type 2 in white or black

B) skirt 1, white

skirt 1, black

skirt 2, white

skirt 2, black

Answer:

Step-by-step explanation:

I am pretty sure your answer is 3

Answer:

2 sides=5 lonely side =7

Step-by-step explanation:

if the full perimeter is 17 and one side is just 7 then you can subtract 7 from 17 and get ten so then you can divide ten by two and get 5 for both sides.

Answer:

I believe it is 48

Step-by-step explanation:

because 4 is two less than 6, and 4 doubled would be 8

Answer: $3.68

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

This is because Lithium =2.8.1

Sodium=2.8.8.1

Valence electron is the electron located in the last shell

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer is fragment because is fragment walk block

12x²y² - 17xy - 40

xy (12xy - 17) - 40

As the x and y are shown in both variables but there is no other common factors. I didn't include the 40 as it didn't share any common factors with all of them.

Answer:

  b

Step-by-step explanation:

Choice b is the only one that has the first equation properly graphed. The boundary line for that equation will have intercepts that can be found by setting the opposite variable to zero.

  x-intercept = 25/2 = 12.5 (on the positive x-axis)

  y-intercept = 25/5 = 5 (on the positive y-axis)

That is, the boundary line has a shallow negative slope, and is shaded below. Only graph 'b' has such a line.

Going south means you're going in the negative direction along the y axis

Going 4 yards south would be represented as -4 on the y axis number line (this is the vertical number line)

Answer:

Southward translation of the rose garden will move it in the negative y-direction. The integer that represents a change of four yards south is -4.

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

[tex] \frac{7}{3x} = \frac{2}{x + 5} [/tex]

By cross multiplication,

[tex]7.(x + 5) = 2 \times 3x[/tex]

[tex]7x + 35 = 6x[/tex]

[tex]7x - 6x = -35[/tex]

Therefore, x= -35.

Hope it helps...

Answer:

area = 2236 in²

Step-by-step explanation:

area of a triangle = 1/2 b h

b = 86

h = 52

plug in values

area = 1/2 * 86 * 52

area = 2236 in²

Answer:

The ratio of successful events A = 3 to total number of possible combinations of sample space S = 8 is the probability of 2 heads in 3 coin tosses.

Step-by-step explanation:

Answer:   [tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given that there are exactly two heads out of three coins, we have the following possibilities:

H H T

H T H

T H H

Two of the three possible outcomes have two heads in a row.

[tex]\dfrac{\text{Number of "two heads in a row"}}{\text{Number of "exactly two heads"}}=\large\boxed{\dfrac{2}{3}}[/tex]

The increasing the value of m increases the line’s intersection with the y-axis. intersection with the x-axis which is stepness

The steps are as follow:

Therefore the increasing the value of m increases the line’s intersection with the y-axis. intersection with the x-axis which is stepness

Learn more about Stepness of line here:

https://brainly.in/question/41191772

#SPJ2

Answer: C

Step-by-step explanation:

Answer:

[tex] \frac{9}{14} [/tex]

Step-by-step explanation:

Evaluate, [tex] -\frac{3}{2} [/tex] ÷ [tex] -\frac{7}{3} [/tex] by first changing the operation from division to multiplication and flipping the fraction by your right upside down.

Thus,

[tex] -\frac{3}{2} * -\frac{3}{7} [/tex]

Negative multiplied by negative = positive

[tex] \frac{3*3}{2*7} = \frac{9}{14} [/tex]

Answer: Volume = 40 cm3

Step-by-step explanation:

Answer:

The range is 77.

The variance is 739.8.

The standard deviation is 27.2.

Step-by-step explanation:

The data provided, in ascending order is as follows:

S = {11 , 14 , 23 , 31 , 40 , 60 , 63 , 68 , 75 , 77 , 88}

The range of a data set is the difference between the maximum and minimum values.

From the above data set we know,

Maximum = 88

Minimum = 11

Compute the range as follows:

Range = Maximum - Minimum

           = 88 - 11

           = 77

The range is 77.

Compute the mean of the data as follows:

[tex]\bar x=\frac{1}{n}\sum x_{i}=\frac{1}{11}\times [11+14+23+...+88]=50[/tex]

Compute the variance as follows:

[tex]\sigma^{2}=\frac{1}{n-1}\sum (x_{i}-\bar x})^{2}[/tex]

    [tex]=\frac{1}{11-1}\times [(11-50)^{2}+(14-50)^{2}+...+(88-50)^{2}]\\\\=\frac{1}{10}\times 7398\\\\=739.8[/tex]

The variance is 739.8.

Compute the standard deviation as follows:

[tex]\sigma=\sqrt{\frac{1}{n-1}\sum (x_{i}-\bar x})^{2}}=\sqrt{739.8}=27.199265\approx 27.2[/tex]

The standard deviation is 27.2.

Answer:

400,000,000+30,000,000+200,000+90,000+100

Answer:

f(-3) = -21

Step-by-step explanation:

To find f(-3), we just need to plug x = -3 into f(x) so:

f(-3) = -4 * (-3)² + 15

= -4 * 9 + 15 = -36 + 15 = -21

Answer:

[tex]\Huge \boxed{-21}[/tex]

Step-by-step explanation:

[tex]f(x) = -4x^{2} + 15[/tex]

f(-3), the input is -3 for the function f(x).

The value of x  =  -3

[tex]f(-3) = -4(-3)^{2} + 15[/tex]

Evaluate the expression.

[tex]f(-3) = -4(9)+ 15[/tex]

[tex]f(-3) = -36+ 15[/tex]

[tex]f(-3)=-21[/tex]

The value of f(-3) is -21.

Answer:

3.64

Step-by-step explanation:

Identify the hundredth:

3.642

Check the value of the thousandth:

3.642

2 is less than four, therefore, we will round down.

3.642 ≈ 3.64