quadratic function and equation

Answer:

This guy is a fooooool the real answer is

Step-by-step explanation:

x=8 and y=−1

so : (8,-1)

From the system of equation 2x + 4y = 12 and  y equals StartFraction one-fourth EndFraction x minus 3. The solution to the system of equations in terms of (x, y) is equal to ( (8, -1)

The system of equations is given as:

2x + 4y = 12        -------  (1)

[tex]\mathbf{y = \dfrac{1}{4}x - 3} \ \ \ ----(2)[/tex]

So, from equation (1), we will replace the value of y which is [tex]\mathbf{ \dfrac{1}{4}x - 3} }[/tex] in order to be able to solve for x.

i.e.

[tex]\mathbf{2x + 4\Big ( \dfrac{1}{4}x -3 \Big) = 12 }[/tex]

Open brackets

2x + x -12  = 12

3x - 12 = 12

3x = 12 + 12

3x = 24

x = 24/3

x = 8

Now, we will replace the value of x into equation (2) to be able to solve for y.

[tex]\mathbf{y = \dfrac{1}{4}(8) - 3} }[/tex]

y = 2 -3

y = -1

Therefore, the solution to the system of equations in terms of (x, y) is equal to ( (8, -1)

Learn more about the system of equations here:

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Answer:

5m^5 + 15m⁴ + 35m³

Step-by-step explanation:

GCF means greatest common factor.

The Greatest common factor of two monomials for example, is the product of the common prime factors of both monomials.

We are to develop a trinomial which would have 5m³ as its greatest common factor.

To Create a trinomial where the GCF of the trinomial is 5m³, we would find a trinomial that can't be factored and multiply it by 5m³.

A trinomial is a polynomial which has three terms (monomials) connected by addition or subtraction.

Let's consider the trinomial m² + 3m + 7

This trinomial cannot be factored because there are no common factors between them. The constants to be considered are 3 and 7.

3 is a prime number and therefore can only be factored to 1 and 3.

7 is a prime number and therefore can only be factored to 1 and 7.

Since there are no common factors other than 1, the constants cannot be factored.

By multiplying 5m³ with the trinomial m² + 3m + 7

We would have:

5m³ (m² + 3m + 7) = 5m^5 + 15m⁴ + 35m³

From the above, the trinomial where the GCF of the trinomial is 5m³ = 5m^5 + 15m⁴ + 35m³

Answer:

Fair

Step-by-step explanation:

Based on the description provided in the question it is safe to say that the survey that Paula conducted is completely Fair. This is mainly due to the fact that her pool of participants are completely random. Paula does not control who will walk through the schools doors first. Therefore she cannot be biased since she is surveying whoever walks through the doors first regardless of her personal opinions or feelings.

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Multiply the values

2 x 7 = 14

He would drink 14 litres of water in a week

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

15/9

Step-by-step explanation:

let the recurring decimal be (n)

we need to find a number that will subtract the number to remove the decimal

the nearest number is 16.666...

because the decimal has moved one step ahead, we will call the new number (10n)

16.666 - 1.666 = 15.

10n - n = 9n.

=15/9

Answer:

Volume: 105 cubic centimeters

Mass of doorstop: 924 grams

Step-by-step explanation:

First, you need to find the area of the triangular base of the prism. The area of the triangle is bh/2=10*6/2=30 square centimeters. Multiplying this by the height of the doorstop of 3.5, you get a total volume of 105 cubic centimeters. Since each cubic centimeter weighs 8.8 grams, the whole thing weighs 105*8.8=924 grams. Hope this helps!

Answer:

volume 105 cm³

mass 924 g

Step-by-step explanation:

This is triangular prism so (Volume) V = (Area of base) B * (Height) H

In this case is triangle is the base shape with base b =10cm and height h= 6cm so

B =1/2 bh = 1/2 *10*6 =30 cm²

(Height) H = 3.5 cm

so V = 30*3.5 = 105 cm³

1 cm³ has a mass ≈ 8.8g

so the mass of the doorstop is volume * mass per cm³

105 * 8.8 = 924 g

Answer:

168

Step-by-step explanation:

28% = 28/100

28/100 * 600 = 168

Answer:

1900 ≥50 + .40 * b

1900 ≥50 + .40 *4100

Step-by-step explanation:

Cost = rush fee + cost per brochure * number of brochures

 cost= 50 + .40 * b where b is the number of brochures

This must be less than or equal to 1900 dollars

1900 ≥50 + .40 * b

We are getting 4100 brochures

1900 ≥50 + .40 *4100

1900≥50 + 1640

1900 ≥1690

We can get the brochures

Answer:

145.8

Step-by-step explanation:

200 times .9 times .9 times .9

Because it is 3 years

Answer:

$266.20

Step-by-step explanation:

o=200

r=.1

t=3

w=200(1+.1)^3

w=200(1.331)=266.2

Answer:Sorry but I know only this much...

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Answer:

192π^3

Step-by-step explanation:

the formula for calculating volume of a cylinder is πr^2h (r : radius, h : height)

π×4^2×12 = 192π^3

Answer:

60

Step-by-step explanation:

At the time of launch, x will be 0 because the object hasn't been thrown yet. Therefore, its height will be 60.

Answer:

The answer for it is 60.

Step-by-step explanation:  

5*0+20*0+60

And due to the simplification by keeping the value 0 in place of x. So if any term is multiplied with 0 the value of that term will be 0. So by adding 0+0+60 . Therefore , the height will be 60 .

More explanation:

At the time of launch, x will be 0 because the object have not  been thrown yet.So its height will be 60.

Answer:

It has the same slope and a different y-intercept

Step-by-step explanation:

Y + 11 = -(x-18)

Y + 11 = -x + 18

Y = -x +7

thus it has a slope of -g too but y-intercept was 7 instead of 13

Answer:

Step-by-step explanation:

(7x³-8x-5)+(3x³+7x+1) =7x³ - 8x - 5 + 3x³ + 7x + 1

Combine the like terms

      = 7x³ + 3x³ - 8x + 7x - 5 + 1

Now, add/ subtract the like terms

     = 10x³ - x - 4

Answer:

[tex]10x^{3} -x-4[/tex]

Step-by-step explanation:

[tex](7x^3-8x-5)+(3x^3+7x+1)[/tex]

[tex]7x^3+-8x+-5+3x^3+7x+1[/tex]

[tex](7x^{3} +3x^{3} )+(-8x+7x)+(-5+1)[/tex]

[tex]10x^{3} -x+-4[/tex]

Answer:

Step-by-step explanation:

x-6)3x²-24x+35 (3x-6

     3x²-18x

   -      +

  __________

          -6x+35

         -6x +36

        +     -

       ________

              - 1

      _________

quotient=3x-6

remainder=-1

Answer:

A: (0,5)

F(10,0)

Step-by-step explanation:

Y=5-1/2x

Substitute the point into the equation and see if it is true

A: (0,5)

5 = 5 - 1/2(0)  

5=5  true   on the line

B (0,10)

10 = 5 - 1/2(0)  

10=5  false    not on the line

C(1,2)

2 = 5 - 1/2(1)  

2=4 1/2  false    not on the line

D(1,4)

4 = 5 - 1/2(1)  

4=4 1/2  false    not on the line

E(5,0)

0 = 5 - 1/2(5)  

0=2 1/2  false    not on the line

F(10,0)

0 = 5 - 1/2(10)  

0=5-5  true     on the line

Answer:

option c is the correct.

Step-by-step explanation:

[tex]\frac{2x^4*6x^2}{3x^2}[/tex]

by using the laws of exponent

a^m×a^n=a^m+n

12x^4+2/3x²

[tex]\frac{12x^4}{3x^3}[/tex]

4x^4-3

4x³

Answer:

4x^3

Step-by-step explanation:

In the numerator, (top part) we have 2x^4 times 6x^2

2 times 6 is 12, and x^4 times x^2 is x^6.

Thus, in the top part, we have 12 times x^6.

In the bottom part we have 3 times x^3.

This is exactly the answer for d, but this is not a simplified answer.

Dividing 12 by 3 we have 4, and x^6/x^3 gives us x^(6-3) which is x^3.

Therefore, we have the correct answer: 4x^3

Using the law of sins:

B =sin^−1((sin(A)⋅a)/b) = sin^−1((sin(65)⋅110)/155)=40.03 degrees

B= 40.03 degrees (round as needed)

Answer:

Step-by-step explanation:

[tex]\sqrt{256*2*k*k} = 16k\sqrt{2} \\\sqrt{448x^{3} } = \sqrt{64*7*x*x^{2}}=8x \sqrt{7x}[/tex]

Answer:

B, C, and F

Step-by-step explanation:

y = 1/2x

y = 1/2(4)

y = 2

y = 1/2x

y = 1/2(-2)

y = -1

y = 1/2x

y = 1/2(2)

y = 1

Answer:

Step-by-step explanation:

Let x be the number of students that like both algebra and geometry. Then:

1. 45-x is the number of students that like only algebra;

2. 53-x is the number of students that like only geometry.

You know that 6 students do not like any subject at all and there are 75 students in total.

If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75.

Therefore,

[tex]x+45-x+53-x+6=75.[/tex]

Solve this equation:

[tex]104-x=75,\\\\x=104-75,\\\\x=29.[/tex]

You get that:

29 students like both subjects;

45-29=16 students like only algebra;

53-29=24 students like only geometry;

24+6=30 students do not like algebra;

16+6=22 students do not like geometry.

a = 29, b = 16, c = 24, d = 30, e = 22

Answer:

The answer is D.

Step-by-step explanation:

Answer: y=8x+6

Step-by-step explanation:

The equation for a line is y=mx+b, where m is your slope and b is the y intercept of the line. Hope this helps!

Answer: speed of train = 94.53 km/h

Speed of car = 59.98 km/h

Step-by-step explanation:

Let x = speed of the train

Let y = speed of the car

The total distance travelled by the man is 600 km. It takes 8 hours 40 min if he travels 320km by train and rest by car. This means that the distance travelled by car is 600 - 320 = 280km

60 minutes = 1 hour

The total time of travel = 8 + (40/60) = 8.67 hours

Total time = total distance/total speed

8.67 = 320/x + 280/y

320/x = 8.67 - 280/y

320/x = (8.67y - 280)/y

Cross multiplying, it becomes

320y = x(8.67y - 280)

y = x(8.67y - 280)/320- - - - - - - - - - -1

it would take 30min more if he travels 200km by train and rest by car. The total time would be 8.67 + 0.5 = 9.17 hours

Distance covered by the car is 600 - 200 = 400 km

Therefore,

9.17 = 200/x + 400/y

200/x = 9.17 - 400/y

200/x = (9.17y - 400)/y

Cross multiplying, it becomes

200y = x(9.17y - 400)

y = x(9.17y - 400)/200 - - - - - - - 2

Equating equation 1 to equation 2, it becomes

x(8.67y - 280)/320 = x(9.17y - 400)/200

Dividing both sides by x, it becomes

(8.67y - 280)/320 = (9.17y - 400)/200

Cross multiplying, it becomes

200(8.67y - 280) = 320(9.17y - 400)

1734y - 56000 = 2934.4y - 128000

2934.4y - 1734y = - 56000 + 128000

1200.4y = 72000

y = 72000/1200.4

y = 59.98 km/h

Substituting y = 59.98 into equation 1, it becomes

59.98 = x(8.67 × 52.98 - 280)/320

52.98 × 320 = x(459.3366 - 280)

16953.36 = 179.3366x

x = 16953.36/179.3366

x = 94.53 km/h

Answer:

x³ - 2x² - 63x

Step-by-step explanation:

Zeroes = 9 , 0 , -7

Factors = (x - 9) x (x + 7)

Polynomial = x (x - 9)(x + 7)

Polynomial = x (x² -2x - 63)

= x³ - 2x² - 63x

Answer:

9 diagonals

Step-by-step explanation:

Number of Diagonals = n(n-3)/2

For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

Answer:  

9 diagonals  

Bit by bit clarification:  

Number of Diagonals = n(n-3)/2  

For instance, in a hexagon, the complete sides are 6.

Along these lines, the complete diagonals will be 6(6-3)/2 = 9.

Answer:

It is the third one

Step-by-step explanation

3 times 3 equals 9.

By solving Power equation, answer of the equation [tex]\frac{(3x)^2x^4y}{x^5}[/tex] is 9xy³.

The power is "a number says how many times to use the number in a multiplication".

According to the question,

[tex]\frac{(3x)^2x^4y}{x^5}[/tex]  = [tex]\frac{9x^2y^2x^4y}{x^5}[/tex]    [using power equation]

            = 9xy².

Hence, By solving Power equation answer of the equation [tex]\frac{(3x)^2x^4y}{x^5}[/tex] is 9xy³

Learn more about  Power equation here

https://brainly.com/question/1764021

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Answer:

60cm^2

Step-by-step explanation:

15 times 8 = 120

divided by 2  = 60

Answer:

60

Step-by-step explanation:

8x15=120

120/2=60

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex].

If the values given in each option satisfy the theorem, the sides will make a right triangle.

[tex]4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}[/tex]

The sides would not make a right triangle.

[tex]6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}[/tex]

The sides would make a right triangle.

[tex]5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}[/tex]

The sides would make a right triangle.

[tex]6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}[/tex]

The sides would not make a right triangle.

The correct answer should be options two and three.

Answer:

1 = 2.50

2 = 5

3 = 7.50

4 = 10

5 = 12.50

6 = 15

Step-by-step explanation:

1 x 2.50 = 2.50

2 x 2.50 = 5

3 x 2.50 = 7.50

4 x 2.50 = 10

5 x 2.50 = 12.50

6 x 2.50 = 15

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

h = 9

Step-by-step explanation:

You can use the Pythagorean theorem to solve this.  Consider each half of the main triangle their own triangles.  

h = a

a^2 + b^2 = c^2

or

a^2 = c^2 - b^2

a^2 = 10^2 - 5^2

a^2 = 100 - 25

a^2 = 75

a = √75

a = 8.66, or 9

h = 9 (when rounded)