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The required factorized form of the given expression is 50(x+2), where 50 is the greatest common factor (GCF).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

We have been given that the expression below as

50x + 100

We have to determine the factor of the expression 50x + 100

First, we have to find the Greatest Common Factor (GCF).

GCF = 50

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

50(50x/50 + 100/50)

Simplify each term in parentheses.

50(x+2)

Therefore, the required factorized form of the given expression is 50(x+2).

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The equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].

For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.

The slope of the line is;

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}[/tex]

The equation represents the line that passes through (–6, 7) and (–3, 6) is;

[tex]\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5[/tex]

The required line of the equation is;

[tex]\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5[/tex]

Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].

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Answer:

I'm pretty sure the answer is B sorry if I'm wrong

Step-by-step explanation:

Step-by-step explanation:

seems to be multiplication, because the differences between the numbers change.

so, let's find the factor.

2 × f = 5

f = 5/2

5 × f = 5 × 5/2 = 25/2

ok, the factor 5/2 is confirmed.

a1 = 2

a2 = a1 × 5/2 = 2 × 5/2 = 10/2 = 5

a3 = a2 × 5/2 = a1 × 5/2 × 5/2 = 2 × 5/2 × 5/2 = 25/2

an = an-1 × 5/2 = a1 × (5/2)^(n-1) = 2 × (5/2)^(n-1)

a9 = 2 × (5/2)⁸ = 2 × 390,625/256 =

= 390,625/128 = 3,051.7578125

The geometric sequence's 9th term will be 3,051.7578.

A geometric sequence is one in which each term is obtained by multiplying the previous term by the same number throughout the series.

Let a₁ represent the first term and r represent the common ratio. The geometric sequence's nth term is then given as,

aₙ = a₁ x (r)ⁿ⁻¹

The sequence is given below.

2, 5, [tex]\dfrac{25}{2}[/tex],

The first term is 2. And the common difference is given as,

[tex]r = \dfrac{5}{2}[/tex]

r = 2.5

Then the 9th term is given as,

a₉ = 2 x  (2.5)⁹⁻¹

a₉ = 2 x (2.5)⁸

a₉ = 2 x 1525.8789

a₉ = 3,051.7578

The 9th term of the geometric sequence will be 3,051.7578.

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Answer:

7

Step-by-step explanation:

1008 Must be multiplied by 7 to get a a perfect square.

Answer:

Step-by-step explanation:

3)

[tex]\sf \boxed{v_{f}^{2}=v_{i}^{2}+2gd_{y}}\\\\v_{f} - > final \ velocity\\\\v_{i} - > Initial \ velocity = 0 \\\\d_{y} - > distance \ travelled[/tex]

g -> gravitational acceleration = 9.8 m/s²

[tex]v_{f}^{2}= 0 + 2*9.8 * 45[/tex]

    = 882 m

[tex]\bold{\huge{\underline{ Answer }}}[/tex]

Here, We have

By using second equation of motion

[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]

Subsitute the required values,

[tex]\sf{ 20 = 0{\times}2 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}a(2)^{2}}}[/tex]

[tex]\sf{ 20 = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4a}}[/tex]

[tex]\sf{ 20 = 2a }[/tex]

[tex]\sf{ a = }{\dfrac{ 20}{2}}[/tex]

[tex]\sf{ a = 10\:m/s^{2}}[/tex]

Hence, The acceleration of the jeepeny is 10 m/s² .

Here, we have

Therefore,

By using second equation of motion

[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]

Subsitute the required values,

[tex]\sf{ S = 0{\times}3 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(3)^{2}}}[/tex]

[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(9)}}[/tex]

[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}36}}[/tex]

[tex]\sf{ S = 18 \: m }[/tex]

Hence, The coin will reach 18 m after 3 seconds.

Here,

So,

By using third equation of motion

[tex]\sf{ v^{2} = u^{2} + 2gs }[/tex]

Subsitute the required values,

[tex]\sf{ v^{2} = 0^{2} + 2{\times}9.8{\times}45 }[/tex]

[tex]\sf{ v^{2} = 90{\times}9.8}[/tex]

[tex]\sf{ v^{2} = 882 m}[/tex]

[tex]\sf{ v = \sqrt{882} m}[/tex]

[tex]\sf{ v = 29.7 m/s}[/tex]

Hence, The final velocity of the stone when the stone hits the ground is 29.7 m.

height of mt.= 4000meters

hope it helps...!!!

Answer:

g(-2) = -1

Step-by-step explanation:

By looking at the graph, we can see that g(-2) where x = -2 is represented. Because x = -2, we can see that the y-value that correlates to this x-value is -1.

So g(-2) = -1.

Answer:

In a circle, any two inscribed angles with the same intercepted arcs are congruent. Hope this helps!

Answer:

true

Step-by-step explanation:

Answer:

i think 4>1/^-3 im not sure tho i hope this helps

Step-by-step explanation

Answer:

1.(3/(4)^2)^0=1

2.(4)^0/3^2-0.1111111111

3.1/6^-2=36

4.1/(4)^-3=64

5.3(4)^-4=4.82253086×10−5

Step-by-step explanation:

hope this helps

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The true statements about the graph y = 4x2 + 28x + 49 are as follows;

(b) The equation 2x + 7 = 0 can be used to find a zero of the function.

(d) The graph has a double root at x = -7/2.

(e) The graph intersects the y-axis at y = 49.

The graph of a function f is the graph of the equation y = f (x).

The function is given as:

[tex]\rm y = 4x^2 + 28x + 49[/tex]

Express 28x and 14x + 14x; so, we have:

[tex]\rm y = 4x^2 + 14x+14x + 49[/tex]

Factorize

[tex]\rm y = 4x^2 + 14x+14x + 49\\\\y = 2x(2x+7)+7(2x+7)\\\\y=(2x+7)(2x+7)[/tex]

Express as a perfect square

[tex]\rm y = (2x+7)^2[/tex]

This means that the graph of the equation has a double root.

It also means that 2x + 7 = 0 can be used to determine the root/zero of the function.

Substitute 0 for x in to determine the y-intercept

[tex]\rm y = (2x+7)^2\\\\\rm y = (2(0)+7)^2\\\\\rm y = (0+7)^2\\\\y=49[/tex]

This means that the graph intersects with the y-axis at y = 49

Hence, the true statements are (b), (d), and (e)

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Answer:

b,d, and ,e

Step-by-step explanation:

trust i just did it

Answer:

GCF and the Distributive Property - YT here is a yt video on how to do it hope it helps i just looked up the answer

Step-by-step explanation:

Answer: 64

Step-by-step explanation:

So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64 Or as a formula: volume = s3 where: s is the length of any edge of the cube.

Answer:

64 feet

Step-by-step explanation:

LxHxW

4x4x4

64 feet

[tex]~~~~~\dfrac 12 \left(x-\dfrac 34 \right) = \dfrac 5{12}\\\\\\\implies \dfrac{4x-3}4= \dfrac{5 \times 2}{12}\\\\\\\implies 4x-3 = \dfrac{5 \times 2 \times 4}{12}\\\\\\\implies 4x -3=\dfrac{40}{12}\\\\\\\implies 4x -3 = \dfrac{10}3\\\\\\\implies 4x = \dfrac{10}3 +3\\\\\\\implies 4x = \dfrac{19}3\\\\\\\implies x = \dfrac{19}3 \times \dfrac 1 4\\\\\\\implies x = \dfrac{19}{12}[/tex]

Answer:

(-3,1)

Step-by-step explanation:

As their are two lines so these are simultaneous linear equations

Hence this is (-3,1)

Note: The solution of a graph is the intersection of 2 lines.

Plotting the solution on the graph:

To plot the solution on the graph,

Identifying a solution on the graph:

To identify the solution, you willl need to determine it's coordinates.

     1. Determine the x and y coordinate by drawing a line going                                 downwards and rightwards. Keep in mind that the                                               intersection of the lines on the x and y axis are the x and y                               coordinates repectively.

    2. The x and y coordinate obtained should be put in (x,y) form.

Determining the solution on the graph:

⇒ Intersection point: (x, y) = (x = -3; y = 1) = (-3, 1)                [Refer to image]

Answer:

  1680

Step-by-step explanation:

To find the product of the two numbers, you can work out the values of the numbers, or you can work directly with the sum and difference figures.

__

We note that the square of a sum is ...

  (a +b)² = a² +2ab +b²

and the square of a difference is ...

  (a -b)² = a² -2ab +b²

The difference of these squares is ...

  (a +b)² -(a -b)² = (a² +2ab +b²) -(a² -2ab +b²) = 4ab

__

That is, dividing the difference of the squares of the sum and difference by 4 will give the desired product:

  P = (83² -13²)/4 = (6889 -169)/4 = 6720/4 = 1680

The product of the two numbers is 1680.

_____

Additional comment

If we factor the formula we derived, we find ...

  P = ((a +b)² -(a -b)²)/4 = ((a +b) +(a -b))/2 × ((a +b) -(a -b))/2

This simplifies to ...

  (2a)/2 × (2b)/2 = a × b

In short:

Using this fact, we find a=(83+13)/2 = 48; b=(83-13)/2 = 35, and the product is (48)(35) = 1680, as above.

Fractions are rations of two integers. The height of the scale model in inches is 78 inches

Fractions are ratios of two integers and they are also used to represent ratios.

Given that scale model of the Texas Capitol is  2 inches to represents 8 feet, the height of the capitol in inches is the heght in feet is 312 feet is expressed as:

Height  = 312 * 2/8
Height in inches = 312/4
Height in inches = 78 inches

Hence the height of the scale model in inches is 78 inches

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Answer:

2/3

Step-by-step explanation:

Add all the number of marbles which is 12. 8 of them are not red. 8/12 when simplified equals 2/3.

Answer:

Step-by-step explanation:

$5,400

Answer:

80%

Step-by-step explanation:

using equivalent fractions:

40/50 = 80/100 = 80%

also since 50 is half of 100 (in other words 100%), you can just multiply 40 by 2 to get a number out of 100 which is your percentage

hope this helped :)

Answer:

∠ N = 42°

Step-by-step explanation:

the measure of a secant- secant angle is half the difference of the measures of the intercepted arcs , that is

∠ N = [tex]\frac{1}{2}[/tex] ( HE - XP ) = [tex]\frac{1}{2}[/tex] ( 122 - 38)° = [tex]\frac{1}{2}[/tex] × 84° = 42°

Answer:

the area of rectangle should be 1/8 square

Step-by-step explanation:

1/6*3/4

=1/8

Answer:

one mile is 5280 feet

40 x 5280 = 211,200 feet per hour

pretty sure im right

Answer:

The answer is 5 or D

Hope this helps!

Let's simplify this equation:

    ⇒ first, consider what we can simply typically

By considering the equation given

 ⇒ we can simply simplify the coefficient of the variable with the

  denominator

   [tex]\frac{20v}{5} =\frac{5*4*v}{5} =\frac{5}{5}*4*v =1*4*v=4v[/tex]

Thus the simplified expression is 4v

Answer: 4v

Hope that helps!

The answer is  Yes because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction is correct.

From the diagram we have

Corresponding segments in triangles LKM and LJN are proportional, so the triangles are similar and KM ║ JN.

The parallel line does not intersect each other

The other yes choice does not properly show corresponding segments

So, actually makes a false claim.

It is not true that 16/10 = 15/24.

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Answer: Yes,  16/10 equals 24/15

Step-by-step explanation: bc im cool like that

The surface area of the roof is the amount of space on it

The surface area of the roof is 600 square meters,

From the complete question, we have the parameters for the roof:

The surface area of the roof is calculated using:

[tex]A = b^2 + 2b \sqrt{\frac{b^2}4 + h^2}[/tex]

So, we have:

[tex]A = 15^2 + 2 * 15 \sqrt{\frac{15^2}4 + 10^2}[/tex]

Evaluate the exponents

[tex]A = 225 + 30 * \sqrt{\frac{225}4 + 100[/tex]

The equation becomes

[tex]A = 225 + 30 * 12.5[/tex]

Evaluate the sum

[tex]A = 600[/tex]

Hence, the area of the roof is 600 square meters

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Answer:

3,628 sq ft

Step-by-step explanation: