What is the median and the modes?

Answer:

(a) discriminant is positive, 76

(b) the above tells you there are two real roots

Step-by-step explanation:

the discriminant is 'b² - 4ac'

3x² - 2x - 6 = 0  ∴ a = 3, b = -2, c = -6

(-2)² - 4(3)(-6) = 4 + 72

(a) The discriminant of the quadratic equation is positive, 76.

(b) The quadratic equation tells you there are two real roots.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.

Given that the quadratic equation 3x²-6=2x.

The discriminant Of the quadratic equation is calculated by the formula below:-

D = b² - 4ac

3x² - 2x - 6 = 0  ∴

a = 3, b = -2, c = -6

Put the value of the coefficient to get the value of the discriminant.

D = (-2)² - 4(3)(-6) = 4 + 72 = 76

Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots

To know more about a quadratic equation follow

https://brainly.com/question/1214333

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Answer:

Yes

Step-by-step explanation:

Since it is a terminating (it ends) decimal and could be written as a fraction

The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Alternate interior angles are congruent.

Therefore,

∠4 is an alternate interior angle to angle 120 degrees.

Therefore,

∠4 = 120 degrees.

learn more on alternate interior angles here: brainly.com/question/14693114

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Answer:

Option C

Option D

Step-by-step explanation:

We have to calculate each expression to find for which one is the solution is x=25.

A)

[tex] \frac{x + 6}{3} = 10 \\ x + 6 = 10 \: . \: 3 \\ x + 6 = 30 \\ x = 30 - 6 \\ x = 24[/tex]

B)

[tex]x - 8 = 32 \\ x = 32 + 8 \\ x= 40[/tex]

C)

[tex]6x - (15 + 4x) = 35 \\ 6x - 15 - 4x = 35 \\ 2x = 35 + 15 \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25[/tex]

D)

[tex] \frac{3x}{5} = 15 \\ 3x = 15 \: . \: 5 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

E)

[tex]4(x - 18) = 12 \\ x - 18 = \frac{12}{4} \\ x - 18 = 3 \\ x = 3 + 18 \\ x = 21[/tex]

Answer:

Step-by-step explanation:

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.

Answer:

the answer is x=−5/4

Step-by-step explanation:

hoped I helped:)

Answer:

1/12

Step-by-step explanation:

12 combinations are possible in this scenario. Shirts. Pants

blue 1 blue 2khaki 3black

grey 4 blue. 5khaki 6black

white 7 blue 8khaki 9black

orange 10blue 11khaki 12black

blue/blue are the only matching items so 1/12 chance

Answer:

1/12

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Option A:

(3)¹ × (3)⁻¹⁰   =  (3)⁽¹⁻¹⁰⁾   = 3⁹

=

=

Option B :

(3)⁻¹ × (3) ¹⁰   = 3⁽¹⁰⁻¹⁾

= 3⁹

= 19683

Option C :

(3⁻⁴) × (3)⁷   = 3⁽⁷⁻⁴⁾

              = 3³

Option D :

3⁴ × 3⁻⁷ = 3⁴⁻⁷

= 3⁻³

=  

=

Therefore, option D is the answer.

Answer:

174.1 degrees

Step-by-step explanation:

180 - 5.9 = 174.1

Answer:

72

Step-by-step explanation:

Answer: C 2021 edg

Step-by-step explanation:

Answer:

69

"bring me my money"

Step-by-step explanation:

Answer:

As long as I know if it's not the same then its not equal, because if you solve it they will give you different answers.

Answer:

D. 22

22 is in the middle

There are three numbers on both sides of 22 so it makes it even and 22 ends up being in the middle.

Hope this helps

Answer: 27

Step-by-step explanation:

What sum of money will amount to Rs.9261 in 3yrs at 5% per annum compound interest?

[tex] \bullet [/tex] Amount (A) = Rs.9261

[tex] \bullet [/tex] Time (n) = 3 yrs

[tex] \bullet [/tex] Rate of interest (r) = 5%

Required Sum

We know the formula,

[tex] { \boxed{\rm \red {A \; = \: P(1 \: + \frac{r}{100})^n}}} [/tex]

[tex] \therefore [/tex] Putting the values we get,

[tex] \bf 9261 \: = \: P(1 \: + \frac{5}{100})³ [/tex]

[tex] \bf P \: = \: 9261 \: × (\frac{20}{21})³ [/tex]

[tex] \bf P \: = \:9261 \: × \frac{20}{21} × \frac{20}{21} × \frac{20}{21} [/tex]

[tex] \bf P \: = \: Rs.8000 [/tex]

Given:

The three sides of a triangle are:

[tex](x-8),(4x^2-3),(4x^2+4)[/tex]

The perimeter of the triangle 650 units.

To find:

The value of x.

Solution:

Perimeter of a triangle is the sum of all three sides of the triangle. So,

[tex]Perimeter=(x-8)+(4x^2-3)+(4x^2+4)[/tex]

[tex]Perimeter=8x^2+x-7[/tex]

The perimeter of the triangle 650 units.

[tex]8x^2+x-7=650[/tex]

[tex]8x^2+x-7-650=0[/tex]

[tex]8x^2+x-657=0[/tex]

Splitting the middle term, we get

[tex]8x^2+73x-72x-657=0[/tex]

[tex]x(8x+73)-9(8x+73)=0[/tex]

[tex](x-9)(8x+73)=0[/tex]

Using zero product property, we get

[tex](x-9)=0\text{ and }(8x+73)=0[/tex]

[tex]x=9\text{ and }x=-\dfrac{73}{8}[/tex]

For negative value of x, the side [tex](x-8)[/tex] will be negative, which is not possible because the side of a triangle cannot be negative.

Therefore, the only value of x is 9.

Answer:

30 minutes

Step-by-step explanation:

6=45

4=x

6x2/3=4

45x2/3=30

x=30

Answer:

66 minutes

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

Search up 3 feet in inches on and you'll see a converter

10

sub (−7x+5)−(2x2−8x+6).

Answer:

For every 7 books Ethan read, Sadie read 3 books.

Step-by-step explanation:

For every 21 books Ethan read, Sadie read 9 books.

Unsimplified Ratio = 21:9

21 and 9 have a common factor of 3.

Because 21 and 9 share a common factor we can simplify the ratio

21 / 3 = 7

9 / 3 = 3

The new ratio is 7 to 3

So for every 7 books Ethan read, Sadie read 3 books.

Answer:

i think it would be less than

Step-by-step explanation:

Answer:

She can make 3 cups of it with 1/3 of a cup leftover.

Step-by-step explanation:

2 1/2 = 5/2

5/2 ÷ 3/4

5/2 · 4/3

10/3

3.33

Answer:

165m²

Step-by-step explanation:

The figure shown is a parallelogram

The area of a parallelogram can simply be found by multiplying the base length and the height

We are given that the parallelogram has a height of 15 m and a base length of  11m

That being said the area is equal to 15 * 11

15 * 11 = 165

So the area of the parallelogram is 165 m²

Answer:

a) 888,888

b) 200,00

c) 888,888-200,000=688,888

step-by-step explanation:

the biggest number possible is 888,888 because 8 is the largest number and the question doesn't say that you have to use each number

200,000 is the smallest number because outside 0, 2 is the second-smallest number, and since 000,000 isn't a number 200,000 is the next best thing

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Step-by-step explanation:

Chop it into shapes you know how to solve with:

Rectangle with dementions 6m x 3m A=18m^2

Rectangle with dementions 12m x (8-3)m A=60m^2

Rectangle with dementions 2m x 3m A=6m^2

total area= 18+60+6=84m^2

Peremeter:

12+6+2+(12-6-2)+3+3+8+8

=12+12+3+3+8+8

=24+6+16

=30+16

=46m

Answer:

Step-by-step explanation:

1 TRUE

A number is always 100%  Anyting bigger than 100% is going to be a bigger number

  Anything smaller than 100% is a smaller number

2FALSE   5/100 = 0.05 and NOT 0.5

0.5% is the same as thalf of 100%    = 50%

   50/100  = 5/10  = 0.5