Solve for X.
3(x + 2) = 7x + 6 - 4x

Answer:

(4x - 3)(x-2) = 0

Step-by-step explanation:

             4x² - 11x + 6 = 0

        To factorize this equation,

        -11

     4x6

These numbers are the key to the solution:

   find two numbers whose sum is -11 and the product is + 24 (4 x 6)

   So, the numbers are -3 and -8

    4x² - 8x - 3x + 6 = 0

   4x(x -2) - 3(x - 2) = 0

    (4x - 3)(x-2) = 0

Answer:

(4x - 3)(x - 2) = 0

That's your answer!!

Answer: The required length of each piece of wood is  or 9 inches.

Step-by-step explanation:  Given that a piece of lumber is  feet long is to be cut into 3 equal pieces.

We are to find the length of each piece of wood in feet and in inches.

We will be using the UNITARY method to solve the given problem.

The length of 3 pieces of wood is equal to  

Therefore, the length of each piece of wood will be

Thus, the required length of each piece of wood is  or 9 inches.

Answer:

t=8

Step-by-step explanation:

400 divided by 50 hopefully that helps with your question

Answer:

4

Step-by-step explanation:

2 × 2 = 4

Answer:

45

Step-by-step explanation:

equate the two equations

2/5=18/x

Answer:

45grams

Step-by-step explanation:

Answer:

(x-14)^2+(y-3)^2=9

Step-by-step explanation:

equation of a circle is (x-h)^2+(y-h)^2=r^2

so center is (14,3) and is tangent externally means

(x-14)^2+(y-3)2=3^2

(x-14)^2+(y-3)^2=9 answer

The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

The standard formula for finding the equation of a circle is expressed as:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where

(a, b) is the centre

r is the radius

Given the center at (14, 3)

If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3

Substitute the radius and the centre into the expression above to have:

[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]

Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

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Answer:

32km

Step-by-step explanation:

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: [tex]H_0: \mu = 48500[/tex]

Alternate hypothesis :[tex]H_a : \mu \neq 48500[/tex]

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

[tex]Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42[/tex]

Refer the z table

p value = 0.00776

[tex]\alpha = 0.01[/tex]

p value < [tex]\alpha[/tex]

So, We are failed to accept null hypothesis

Hence The claim is rejected

Answer:

i think it is false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

An identity matrix has a 1 in each position of the main diagonal (diagonal from upper left to lower right) and zeros elsewhere. This matrix has the 1s and 0s in the wrong places to be an identity matrix.

This is what a 2x2 identity matrix looks like:

[tex] \begin{bmatrix}  1 & 0\\  0 & 1\end{bmatrix} [/tex]

Answer:

Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!

The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.  

The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.

This quiz was completed on k12, lesson 3.03.

The question is an illustration of equation of circles.

From the question, we understand that:

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung

[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard

[tex]\mathbf{B = 10ft}[/tex]  --- the bull's eye

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart

Equation of the circle

First, we convert all units to feet

This is done by dividing inches units by 12

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]

Take LCM

[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]

[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]

[tex]\mathbf{d = 18\i n }[/tex]

[tex]\mathbf{d = \frac{18}{12}ft}[/tex]

[tex]\mathbf{d = \frac{3}{2}ft}[/tex]

Divide by 2 to calculate radius

[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]

[tex]\mathbf{r = \frac{3}{4}ft}[/tex]

The equation of the circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

In this case:

[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall

[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung

So, we have:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]

Evaluate the exponents

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Does Sasha’s dart land on the dartboard?

Yes her dart lands on the dartboard because

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard

Read more about equation of circles at:

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Answer:

True

Step-by-step explanation:

There must be a constant of proportionality.

Hope this helps!

Answer:

(f - g)(x) = -x - 6

(f + g)(x) = 3x - 4

(f*g)(4) = -9

Step-by-step explanation:

These are your equations:

f(x) = x - 5

g(x) = 2x + 1

To find (f - g)(x), subtract g(x) from f(x).

(f - g)(x) = x - 5 - (2x + 1)

(f - g)(x) = x - 5 - 2x - 1

(f - g)(x) = -x - 5 - 1

(f - g)(x) = -x - 6

To find (f + g)(x), add f(x) with g(x).

(f + g)(x) = x - 5 + 2x + 1

(f + g)(x) = 3x - 5 + 1

(f + g)(x) = 3x - 4

To find (f*g)(4), you need to first find (f*g)(4).  You can do this by multiplying f(x) wih g(x).

(f*g)(x) = (x - 5)(2x + 1)

(f*g)(x) = 2x² - 9x - 5

Now that you have (f*g)(x), solve with x as 4.

(f*g)(4) = 2(4)² - 9(4) - 5

(f*g)(4) = 2(16) - 9(4) - 5

(f*g)(4) = 32 - 36 - 5

(f*g)(4) = -9

The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x)=x-5
g(x) = 2x+1

According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4

[f + g ](x) =  3x - 4

[f - g ](x) =  x - 5 - 2x - 1
[f - g ](x) = -x - 6

(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5

(f.g)(4) = 2[4]² - 4[4] - 5
         = 32 - 16 - 5
         = 11
(f.g)(4) = 11

Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

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#SPJ2

Answer:

270 degree rotation about point 0 composition .translations of negative 2 units

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Took the test

Answer: its 3( 15+9 ) or 9( 5+3 ) go with your gut im srry if im wrong

Step-by-step explanation:

Daichi wo fumishimete

Kimi wa mezameteiku

Answer:

(-3,3)

Step-by-step explanation:

Answer:

C. 36

because can not be expressed as a ratio

Answer:

c. supplementary angles

Step-by-step explanation:

Answer:

163

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Hope this help you!!! :))

Answer:

the answer is B because it make a 90* angle

Answer:

12.2 12.3 12.4 12.5

Step-by-step explanation:

Answer:

The probability is   [tex]P(X  >300 ) = 0.97219 [/tex]

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    [tex]p = 0.96[/tex]

Generally the mean is mathematically represented as

    [tex]\mu  =  n*  p[/tex]

  => [tex]\mu  =  320 *  0.96[/tex]

    => [tex]\mu  = 307.2[/tex]

Generally the standard deviation is  

    [tex]\sigma =  \sqrt{n *  p *  (1 -p ) }[/tex]

=>  [tex]\sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }[/tex]

=> [tex]\sigma =3.50 [/tex]

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  [tex]P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )[/tex]

Here [tex]\frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )[/tex]

=>[tex]P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )[/tex]

Now applying  continuity correction we have

    [tex]P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )[/tex]    

=>    [tex]P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )[/tex]

=>    [tex]P(X  >300 ) =  P(Z >  -1.914 )[/tex]

From the z-table  

    [tex]P(Z >  -1.914 ) =  0.97219[/tex]

So

    [tex]P(X  >300 ) = 0.97219 [/tex]

Answer:

There are 0 number of edges on a cylinder

Answer: Yes it is right.

Step-by-step explanation: Have a blessed day!

Answer: Yes, it’s correct!

Step-by-step explanation: Have A Great Day Bro! :)

Answer:

The ball lands on the ground at t=2.55 seconds

Step-by-step explanation:

Quadratic Equation

The following function models the height above the ground of a ball hit into the air at time t seconds:

[tex]h=25t-9.8t^2[/tex]

We need to find the value of t when the ball hits the ground.

At ground level, h is zero, thus:

[tex]25t-9.8t^2=0[/tex]

This is an incomplete quadratic equation that can be easily solved by factoring:

[tex]t(25-9.8t)=0[/tex]

There are two solutions:

t=0

t=25/9.8=2.55 s

The first solution corresponds to the moment when the ball is hit, and the second is when it returns to the ground, thus:

The ball lands on the ground at t=2.55 seconds

Answer: B,D,E. Step-by-Step explanation

Transformation that preserve lengths are rigid transformation.

The options that support Maggie's claim are:

All transformations are rigid transformation, except dilation.

Dilation are of two types

Either of the two above, do not preserve length

This means that:

Options (d) and (e) will not preserve the lengths of the rectangle, because they represent dilation

Hence, the correct options that will preserve the length of the rectangle are: (a), (b) and (c)

Read more about transformation at:

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Answer:

it is c

Step-by-step explanation:

Answer:

C.) 0.5; Terminating

Step-by-step explanation:

Answer:

918=0.5

Showing the work

You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 18 using

GCF(9,18) = 9

9÷918÷9=12

We know that

12

is the same as

1÷2

Then using

Long Division for 1 divided by 2

=0.5

Hope I helped

Brainliest plz

Answer:

Step-by-step explanation:

x + x - 2 = 10

2x - 2 = 10

2x = 12

x = 6

y = 6 -2

y = 4

(6,4)