1. The L.C.M. of x and 12 is 36. ​

Answer:

Step-by-step explanation:

y = ax² + bx + c

~~~~~~~

(4, - 2), (8, 6), (2, 0)

a(4²) + b(4) + c = - 2

a(8²) + b(8) + c = 6

a(2²) + b(2) + c = 0

16a + 4b + c = - 2 .............. (1)

64a + 8b + c = 6 ............... (2)

4a + 2b + c = 0 ................. (3)

a = 0.5 ; b = - 4 ; c = 6

y = 0.5x² - 4x + 6

Part A: (0, 6), (6, 0)

Part B: (0,6)

Part C: (6, 0)

Part D: [ 4, ∞ )

The quadratic function has the form f(x) = ax² + bx + c, where a, b, and c are non-zero values, and the calculation of the values can be defined as follows:

vertex point of graph function= (4,-2)

points=  (8,6) and (2,0)

Using the formula of a quadratic function:

[tex]y = ax^2 + bx + c[/tex]

putting the value into the above-given formula:

[tex]\to (4, - 2), (8, 6), (2, 0)\\\\\to a(4^2) + b(4) + c = - 2\\\\\to 16 a + 4b + c = - 2.........................(a)\\\\\to a(8^2) + b(8) + c = 6\\\\\to 64a + 8b + c = 6......................................(b)\\\\\to a(2^2) + b(2) + c = 0\\\\\to 4a + 2b + c = 0................................(c)\\\\[/tex]

Computing the value of a,b, and c:

[tex]\to a = 0.5\\\\ \to b = - 4 \\\\ \to c = 6\\\\[/tex]

Putting the value of a, b, and c values into the quadratic function:

[tex]\to y = 0.5x^2 - 4x + 6[/tex]

So, the calculated points are:

Part A: (0,6)

Part B: (2,0) and (6,0)  

Part C: x>4

Part D: positive the parabola upwards

Find out more about the quadratic function here:

brainly.com/question/5975436

Answer:

it would be less than

Step-by-step explanation:

so it would be this <

The magnitude of the number 6.209 is less than the number 6.29 thus the sign of inequality will be < as 6.209 < 6.29.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given numbers,

6.209 and 6.29

Since, 6.209 - 6.29 = -0.081

Thus, 6.209 < 6.29.

Hence "The magnitude of the number 6.209 is less than the number 6.29 thus the sign of inequality will be < as 6.209 < 6.29".

For more about inequality,

brainly.com/question/20383699

#SPJ3

Answer:

Fraction: 24/30 Percentage: 80%

Step-by-step explanation:

It might want a simplified version of the fraction, so the answer for that one could be 4/5. I hope this helps :)

The percent of the pencils in the pack are black is,

⇒ 80%

And, The fraction of the pencils in the pack is black is,

⇒ 24 / 30

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Ms. Cathy bought a package of pencils.

And, Out of every 10 pencils, 8 are black. .

Since, There are 30 pencils in the pack,

Hence, The percent of the pencils in the pack are black is,

⇒ 24 / 30 x 100

⇒ 2400 / 30

⇒ 80%

And, The fraction of the pencils in the pack is black is,

⇒ 8 / 10 = x / 30

⇒ 240 = 10x

⇒ x = 24

Thus, The fraction of the pencils in the pack is black is,

⇒ 24 / 30

Thus, The percent of the pencils in the pack are black is,

⇒ 80%

And, The fraction of the pencils in the pack is black is,

⇒ 24 / 30

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Answer:

The y intercept is positive 1 because that's where the graph crosses the y axis.

Answer:

Horizontal Asymptote of y= -7

Step-by-step explanation:

Answer:

3x-6

Step-by-step explanation:

3(x-2)

3 multiply both x and -2

3x-6

hope it's helpful ❤❤❤❤

THANK YOU.

Answer: it’s a rational number because all rational numbers are fraction, also if you need help on your classes or work I can help you pass okay?

Step-by-step explanation:

Answer:

It has a numerator and denominator

Step-by-step explanation:

Rational number have a numerator and a denominator

Answer:

20 degrees, 50 degrees, 80 degrees, 75 degrees, 60 degrees

Answer:

60! Add em all up

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The identity property for addition tells us that zero added to any number is the number itself.

Answer:

remove the parentheses

Step-by-step explanation:

2(x + 4)=10

2x + 4 = 10

2x = 6

x = 3

Answer:

Each person will get 3 pieces

Step-by-step explanation:

First you separate each item in 4 pieces. Then you get 12 pieces. Since 12 divided with 4 is 3, the answer is 3.

We want to draw a model that shows 3 items being divided equally for 4 people, we will see that each person receives 0.75 of an item.

Here you just need to create an area that represents 3 elements, then replicate that area but this time with 4 sections, so we can see how much each of the 4 sections takes from the 3 elements.

The model can be seen below. (this is just an example, you should do it with a ruler to have a proper model).

Now to see how much each person haves we just take the quotient:

3/4 = 0.75

Each person receives 0.75 of an item.

If you want to learn more about divisions, you can read:

https://brainly.com/question/7068223

Answer:

10 over 11

Step-by-step explanation:

Y2 minus Y1 over X2 minus X1

Answer:

10/11 or 10 over 11 rise

Step-by-step explanation:

Slope formula: (y2 - y1) / (x2 - x1)

(-20 - 0) / (-14 - 8)

(-20) / (-22)

= 10/11

Answer:

x=4

Step-by-step explanation:

you have to get x on one side so x=4

Answer:

x=4

Step-by-step explanation:

combine the like terms beside eachother so it would be

6x-x=24-4

5x=20

then move the 5 and divide

x=20/5

x=4

Answer:

i think the answer is a.

Step-by-step explanation:

it is greater than.

Answer:

B

Step-by-step explanation:

B because the angle has to be equal to the one opposite

Answer:

80 square yards

Step-by-step explanation:

We know we have a width of 8 yards and a perimeter of 36.

how I figured it out was:

36=(8*2) * (x*2)

8*2=16

36-16=10

So now we know the length and width.

area of a rectangle is lw (length * width)

10*8=80.

Answer: 90

Step-by-step explanation:

210/7 is 30 times 3 is 90

Answer:

x=39

Step-by-step explanation:

Answer:

8<n+1/5<98

Step-by-step explanation:

Answer:

Step-by-step explanation:

12x<60

The < will have a underline

Answer:

Direct variation, by definition, has the form shown below:

y=kx  

Where k is the constant of proportionality.

Given the information in the problem, you can find k:

7=3k

k=7/3

Now you can find y when x=7 as following:

y=(7/3)x

Substitute values.

y=(7*7)/3

y=49/3

Answer:

-4+12x

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

0.75 ⇒ 100%

0.15 ⇒ x%

0.75x = 100·(0.15)

0.75x = 15

x = 15/(0.75)

x = 1500/75

x = 20%

100% - (discount) = x%

100% - (discount) = 20%

discount = 100%-20%

discount = 80%

Answer:

60% off

Step-by-step explanation:

Answer:

[tex]-10 \leq x < 9[/tex]

Step-by-step explanation:

Answer:

What’s The question?

Your answer is going to be -20.