What is the value of 2x(3+x2) when x=−2?

Answer:

-2, -1 ,2 ,2 ,2.22.25 that's the answer

The rational expression [tex]\frac{3x - 4}{x^2 + x - 12}[/tex] can be written as the sum of two partial fractions as [tex]\frac{3x}{(x+4)(x - 3)} - \frac{4}{(x+4)(x-3)}[/tex].

For the decomposition of a rational equation, partial fractions are used. Each component of an algebraic expression that is divided into a sum of two or more rational expressions is referred to as a partial fraction.

Given, A rational expression [tex]\frac{3x - 4}{x^2 + x - 12}[/tex].

Now, x² + x - 12 can be written as

x² + x - 12.

= x² + 4x - 3x - 12.

= x(x + 4) - 3(x + 4).

= (x + 4)(x - 3).

Therefore, [tex]\frac{3x - 4}{x^2 + x - 12} = \frac{3x - 4}{(x + 4)(x - 3)}}[/tex].

[tex]\frac{3x - 4}{x^2 + x - 12} = \frac{3x}{(x+4)(x - 3)} - \frac{4}{(x+4)(x-3)}[/tex].

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Step-by-step explanation:

the distance between the points (1, 4) and (-5, -4) on the coordinate plane =

√(-5-1)² + (-4-4)²

=√(-6)²+(-8)²

=√36+64

=√100

= 10 units

9514 1404 393

Answer:

  a. 2x +y = 10; 2x +3y = 22

  b. 6 minutes

Step-by-step explanation:

a) The problem statement tells you that ...

  x = minutes around the block

  y = minutes around the park

  2x +y = 10 . . . . twice around the block and once around the park: 10 min

  2x +3y = 22 . . . twice around the block and 3 times around the park: 22 min

__

b) Subtracting the first equation from the second gives ...

  (2x +3y) -(2x +y) = (22) -(10)

  2y = 12 . . . . . . . . simplify

  y = 6 . . . . . . . . . divide by 2

It takes you 6 minutes to jog around the park.

Answer:

Part A) The system of equations is

[tex]2x+y=10[/tex]

[tex]2x+3y=22[/tex]

Part B) The number of minutes it takes you to jog around the park is [tex]6[/tex] mins

Explanation:

Part A) Write a system of linear equations

Let [tex]x[/tex] ----> the number of minutes it takes you to jog around the block

Let [tex]y[/tex] ----> the number of minutes it takes you to jog around the park

we know that [tex]2x+y=10[/tex] ----> equation A

and [tex]2x+3y=22[/tex] ----> equation B

Part B) How long does it take you to jog around the park?

Multiply equation A by [tex]-1[/tex] both sides

[tex]-1(2x+y)=-10[/tex] ----> [tex]-2x-y=-10[/tex] ----> equation C

Adds equation B and equation C

[tex]2x+3y=22[/tex]

[tex]-2x-y=-10[/tex]

____________

[tex]3y-y=22-10[/tex]

[tex]2y=12[/tex]

[tex]y=6[/tex] minutes

Find the value of [tex]x[/tex]

[tex]2x+(6)=10[/tex]

[tex]2x=10-6[/tex]

[tex]x=4/2=2[/tex] minutes

Credit:

(This answer was originally made by calculista. All credit goes to them.)

Answer:

option number 2

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Here's the Solution :

Using Trigonometry,

Answer:

i have no idea 5

Step-by-step explanation:

i need help too please help

Answer:

$1666.67

Step-by-step explanation:

$450 is the total amount she earned and $200 is the weekly wage she received. That means that $250 came from tips.

$200 + .15 (x) = 450

.15x=250

x=$1666.67

Answer: B.no

Step-by-step explanation:

To figure this out, plug (1, -4) into the equation y=-2x. 1 is the x value, so we plug it into the x. -4 is the y value, so we plug it into the y spot. In the end we get -4=-2(1). Is this true? No, it isn't. Therefore it is not an answer

Answer:

5 pounds and 8 ounces of seed per one acre.

Step-by-step explanation:

We have our two values, 44 pounds and 8 acres.

It also says it takes 44 pounds of seed for every 8 acres of farmland.

So to get the value of how much seed per one acre we need, we divide 44 by 8.

Doing so yields us 5.5 pounds, which can be converted to 5 pounds and 8 ounces. (remember 16 ounces is 1 pound)

1) 0.0 + 5.5 = 5.5

2) 5.5 + 5.5 = 11.0

3) 11.0 + 5.5 = 16.5

4) 16.5 + 5.5 = 22.0

5) 22.0 + 5.5 = 27.5

6) 27.5 + 5.5 = 33.0

7) 33.0 + 5.5 = 38.5

8) 38.5 + 5.5 = 44.0

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total cost in piggy bank with pennies and quarters = $2.85

And, The number of pennies is 5 more than three times the number of quarters.

Let Number of quarters = x

And, Number of pennies = y

                                       = 5 + 3x

Since, Total cost in piggy bank with pennies and quarters = $2.85

So, we can formulate;

0.25x + 0.01y = $2.85

Substitute the value of y as;

0.25x + 0.01(5 + 3x) = 2.85

0.25x + 0.05 + 0.03x = 2.85

0.28x + 0.05 = 2.85

x = 10

And, y = 5 + 3x = 5 + 3 × 10 = 35

Thus,

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

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Answer:

(8(-1)+2>-6

-8+2>-6

-6>-6

Step-by-step explanation:

Answer:

a=3, b=3, c=5, d=2

Step-by-step explanation:

prime factorization of 600: [tex]2^{3}[/tex] × 3 × [tex]5^{2}[/tex]

Answer:

21

Step-by-step explanation:

cus i got it right  on my test

Answer:

Without any answers, I can't give you information. But if the numbers in the list would be able to be divided by 3, resulting in a whole number - no fractions or decimals - then it's considered a multiple of 3.

Step-by-step explanation:

Answer:

5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. ... Choices B, C, and D are incorrect and may result from errors in applying the.

Step-by-step explanation:

Answer: x=√10 or x=−√10

Step-by-step explanation:

Answer:

1: B

2: C

(I need 20 characters so bla bla bla bla bla bla bla)

Answer:

 x-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x+13*y-(6)=0

Step 1: Equation of a Straight Line

Solve   4x+13y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  4x+13y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 6/13 so this line "cuts" the y axis at y= 0.46154

 y-intercept = 6/13  =  0.46154  

Calculate the X-Intercept :

When y = 0 the value of x is 3/2 Our line therefore "cuts" the x axis at x= 1.50000

 x-intercept = 6/4 = 3/2  =  1.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.462 and for x=2.000, the value of y is -0.154. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.154 - 0.462 = -0.615 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.615/2.000 = -0.308  

Geometric figure: Straight Line

 Slope = -0.615/2.000 = -0.308

 x-intercept = 6/4 = 3/2 = 1.50000

 y-intercept = 6/13 = 0.46154

Answer:

P' (-4 , -7)

Step-by-step explanation:

reflection over y=x, (x,y) -> (y,x)

Answer: So group 3 of 16 contains 2 are boys . Means 16 +16 are tow groups are of boys. Then remaining 16 are girls. It completed the all conditions. 2/3 class retio. Total 48 students and 16 girls.

Step-by-step explanation:

Hope this helps!

your

Step-by-step explanation:

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Step-by-step explanation:

the length of PQ =

√(-7-5)²+(6+4)²

=√(-12)²+(10)²

= √144+100

=√244

= 15.6 units (D)

Answer:

DOMAIN: (INFINITY, -INFINITY)

RANGE: (-infinity, INFINITY)

Step-by-step explanation:

hm good luck cus I'm a savage

Answer:

domain: (–∞,∞)    or  all real numbers

range: (–∞,∞)       or  all real numbers

Step-by-step explanation:

domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.

range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.

Hello.

Have a beautiful and joyful day ahead.

Answer:

Step-by-step explanation:

was there a actual question ?

have a good day

Answer:

57.1 sq in

Step-by-step explanation:

Answer:

Area = [tex]57.1cm^{2}[/tex]

Step-by-step explanation:

[tex]\frac{(10cm)(12cm)sin(72)}{2}[/tex]

= 57.1cm^2

Answer:

Well, 2 to the 4th power is just: 2 x 2 x 2 x 2 which when multiplied, you get 16.

Step-by-step explanation:

Say you multiply the first two 2's, you get 4, then you multiply the last two 2's,

You're left with 4x4 which is equal to 16.