( BRAINLIEST QUEATION)
Find the HCF and LCM of 72 and 56

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Explanation:

Factor the given expression

x^2+x^3

x^2*1+x^2*x

x^2(1+x)

x^2(x+1)

We end up with something where the factor x^2 is a perfect square regardless of whatever we replace x with from the set {1,2,3,...,99,100}.

In short, we don't need to worry about the x^2 portion.

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The only thing of importance is the x+1 factor.

The x+1 must be a perfect square so that the original expression is as well.

Let's say M is some perfect square between 1 and 100. That means M belongs to the set of values

{1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

If we want M+1 to be a perfect square, then we'll need to subtract 1 from each item in that set above to counteract the "plus 1" in "M+1".

Subtract 1 from each item to end up with this modified set

{0, 3, 8, 15, 24, 35, 48, 63, 80, 99}

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Every item mentioned in that second set will make x^2+x^3 to be a perfect square.

For example, let's pick x = 15

x^2(x+1) = 15^2*(15+1)  

x^2(x+1) = 15^2*16

x^2(x+1) = 15^2*4^2

x^2(x+1) = (15*4)^2

x^2(x+1) = 60^2

This confirms that x^2+x^3 is a perfect square for x = 15. I'll let you check the other values.

There are 10 values in the set {1^2,2^2,...,9^2,10^2} = {1,2,...,81,100}. There are also 10 values in the set {0,3,8, ..., 80, 99} we got earlier. The cardinality hasn't changed. However, we'll kick out 0 because it's not between 1 and 100. So we end up with 9 as our final answer.

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To summarize, there are 9 values of x that make x^2+x^3 a perfect square, where x is some whole number between 1 and 100 inclusive.

Answer:

The answer is 3!!

Step-by-step explanation:

Step 1)

6x-2=x+13

6x − 2 + 2 = x + 13 +2

Step2)

6 = + 15

Step3)

6 − =+15−

Step 4)

5=15

Step5)

5x=15

Divide both sides

5x/5 = 15/5

Step 6)

X = 3!!

Answer:

3× + 6

3+6=9

9×3=3

Finish

Answer:

3

(

+

2

)Step-by-step explanation:

Answer:

y = 5/4x + 12

Step-by-step explanation:

4y = 5x - 4

y = 5/4x - 1

2 = 5/4(-8) + b

2 = -10 + b

b = 12

Answer:

angle (3x-15)°=angle (2x+10)° (by vertically opposite angles)

3x-15=2x+10

3x-2x=10+15

x=25

by putting the value of x.

3x-15=3×25-15 = 60°

38°+ 60°+ <ebf= 180° (by sum of all sides is 180° )

98°+<ebf = 180°

<ebf = 180° - 98°

<ebf = 82°

Answer:

3,408

Step-by-step explanation:

Answer:

3,408 is the forms of three thousand four hundred eight

Answer:

We have recently been learning about Artificial Selection.    Write a paragraph describing how artificial selection relates to this article:

Step-by-step explanation:

Answer:

it is between a c because they are both 12

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The criteria required to prove the given triangles congruent is :

Answer:

1. f(–9) = -66 , g( 1 ) = 27  (Please double-check your given options, there must have been a typographical error for Option C for g( 1 ) = 29). g( 1 ) is supposed to be 27.

2. Option A: f(–9) = 25, g(–1) = 21

Step-by-step explanation:

1.Find the value of f(–9) and g(1) if f(x) = 8x + 6 and g(x) = 9x + 20x−2

f(x) = 8x + 6

f(–9) = 8(-9) + 6 = -66

g(x) = 9x + 20x − 2

g( 1 ) = 9( 1 ) + 20( 1 ) − 2 = 27

None of the given choices were correct (unless there's a typo error for Option C — it's supposed to be g( 1 ) = 27 instead of 29?) because the correct answers are: f(–9) = -66 and g( 1 ) = 27

2.  f(–9) and g(–1) if f(x) = –3x – 2 and g(x) = 3x³ – 24x

f(x) = –3x – 2

f(–9) = –3(–9) – 2 = 25

g(x) = 3x³ – 24x

g(–1) = 3(–1)³ – 24(–1) = 21

Therefore, the correct answer is Option A: f(–9) = 25, g(–1) = 21

The graph illustrates a linear function, because the graph is a straight line

The equation of the graph is (d) y = x +3

The points on the line are:

[tex](x_1,y_1) = (-3,0)[/tex]

[tex](x_2,y_2) = (0,3)[/tex]

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute values for x1, x2, y1 and y2

[tex]m = \frac{3-0}{0--3}[/tex]

Simplify

[tex]m = \frac{3}{3}[/tex]

Divide

[tex]m = 1[/tex]

The equation of the line is then calculated using the following formula:

[tex]y = m(x - x_1) + y_1[/tex]

Substitute values for m, x1 and y1

[tex]y = 1(x - -3) + 0[/tex]

Simplify

[tex]y = 1(x +3)[/tex]

Open bracket

[tex]y = x +3[/tex]

Hence, the equation of the graph is (d) y = x +3

Read more about linear graphs at:

https://brainly.com/question/20853486

What did you partner think? i will answer in comments

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c is the partial equation

To find c substitute (7, 2 ) into the partial equation

2 = 14 + c ⇒ c = 2 - 14 = - 12

y = 2x - 12 ← equation of line

the slope is NEGATIVE 3/2

Answer:

it looks like it is 135 degrees

Step-by-step explanation:

Tell me if I am wrong sorry if I am also mark me brainliest if I am right

Answer:

-75

Step-by-step explanation:

attached the work below! comment or message me if you have any questions :))

Answer:

5924, 51

Step-by-step explanation:

X = 4200(1.035)^10

And put it in a calculator

The total value of the account after 10 years is $5,924.52.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \$4,200 \times (1 + 3.5\%)^{10}[/tex]

= $5,924.52

Therefore we can conclude that the total value of the account after 10 years is $5,924.52.

Learn more: brainly.com/question/13324776

Answer:

son: 12 daniel: 32

Step-by-step explanation:

daniel is 26 in 6 years he would be 32

son is 3x younger in 6 years so 32 divided by 3 would be 10.6 (11 if estimated)

Answer

0.5454...

Step-by-step explanation:

    0.5454

11⟌60000

    - 0

       60

-       55

          50

-          44

             60

-             55

                50

-                44

                   6

Answer:

-16 Degrees

Step-by-step explanation:

Just subtract: 2-18=negative 16 --> -16

Answer:

d (2)

Step-by-step explanation:

your moving forward two spaces

Answer:

4

Step-by-step explanation:

Two thirds of 3 is 2 and two thirds of 6 is 4, Hope this helps :)

Answer:

4

Step-by-step explanation:

Given:

The ratio is shirts to pants 3:2.

That means for every 3 shirts, there is 2 pairs of pants.

Therefore, your answer would be 4.

Answer:  I don't known b ???????

Step-by-step explanation:

Step-by-step explanation:

step one Choose C

Answer: Therefore, the truck is 240 inches long.

Step-by-step explanation:

truck = 150 + 60% of 150

        = 150 + 60/100 * 150

        = 150+90

        = 240 inches

Answer:

1z

Step-by-step explanation:

5(-z)-6

-1(-z)

1z

I think that's right, but I'm not too great at math. Lmk. Hope it helps! :)