which shows the rational expression written using the least common denominator x-2/x^3 + x+1/2x^3

Answer:

D. [tex]x\geq 0[/tex]

Step-by-step explanation:

In order to answer this question we need to know the definition of the domain. The domain of a function is the complete set of possible values of the independent variable ("x"). In our case we can look at the function and cross out option "A" because the function has no point with a negative "x" value. Option "B" can be also crossed out because it states that "x" values can not go above 3 but by looking at the function we can see multiple point with "x" values larger then 3. Option "C" can also be crossed out because their is not point on the function that would have a negative "x" value which contradicts the statement about all numbers. And finally we are left with "D" and we know it is the right answer since the function has a point with "x" value being equal to 0 and the all other points have the "x" value greater then 0, which is exactly what option "D" states.

9514 1404 393

Answer:

Step-by-step explanation:

The given relations give rise to two equations:

  b = g + 5

  b + g = 21

Using the first to substitute for b in the second, we have ...

  (g +5) +g = 21

  2g = 16 . . . . . . . subtract 5

  g = 8 . . . . . . . . . divide by 2

  b = 8 +5 = 13

Ben got 13 presents; Gwen got 8.

Answer:

11

Step-by-step explanation:

11^12 is the power

12 is the exponent

So 11 is the base

Answer:

B 11

Step-by-step explanation:

the base means the base number not the exponent, so 11

Answer:

A.) 20x + 2y = 500

B.) y-intercept = 250; its meaning is how many boxes of pencils they started with.

C.) x-intercept = 25; How many T-shirts they can sell at most

Step-by-step explanation:

2y - 500 = -20x

20x + 2y - 500 = 0

20x + 2y = 500

y-intercept = 250; its meaning is how many boxes of pencils they started with.

20x + 2y = 500

20(0) + 2y = 500

2y = 500

2y/2 = 500/2

y = 250

x-intercept = 25; How many T-shirts they can sell at most

20x + 2y = 500

20x + 2(0) = 500

20x = 500

20x/20 = 500/20

x = 25

Answer:

y > x - 2.

2*y + x < 4

The correct option is the third one.

Step-by-step explanation:

First let's find the red shaded part.

We can see that the shade is above the line, then we will have something like:

y > a*x + b

where a*x + b is the equation for the line.

a is the slope, and b is the y-intercept.

In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:

b = -2

To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)

We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:

a = (y2 - y1)/(x2 - x1)

Then for this line, the slope will be:

a = (0 - (-2))/(2 - 0) = 2/2 = 1

Then the equation for this line is:

1*x - 2

And the inequality is:

y > x - 2.

Now for the blue one, the shaded part is below the line, then we will have:

y < a*x + b

In this case, the y-intercept is y = 2.

And we can see that this line passes through the points (0, 2) and (4, 0)

Then the slope is:

a = (0 - 2)/(4 - 0) = -2/4 = -1/2

Then this inequality is:

y < (-1/2)*x + 2

If we rewrite this as the ones shown in the options, we have:

y < (-1/2)*x + 2

2*y < -x + 2*2

2*y + x < 4

Then the two inequalities are:

y > x - 2.

2*y + x < 4

Then the correct option is the third one:

The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

Given the inequalities  y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.

The solution of the inequality on the graph is the very dark region.

Find out more on Inequality at: brainly.com/question/24372553

Answer: 0.6841

Step-by-step explanation:

Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035

Sample size : n = 100

Binomial probability distribution formula :

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

The probability that at least 3 will file bank loans next year :

[tex]P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841[/tex]

Hence, the required probability= 0.6841

Answer:

52cm3

Step-by-step explanation:

Answer:

The statement is that the population increases at a rate of 4% per year

Step-by-step explanation:

The function is given as;

N(t) = 850(1.04)^t

The general equation form for a representation as this is;

P = I(1 + r)^t

Where I is the initial value and P is the present value

r is the rate of increase

t is the time

Thus, we have that;

1 + r = 1.04

r = 1.04-1

r = 0.04

0.04 is same as 4/100 which is same as 4%

So the statement about how the population of bear is changing is that the population increases at a rate of 4% each year

Answer:

z=-7.5

Step-by-step explanation:

Answer:

z = -7.5

Step-by-step explanation:

First you have to simplify the equation:

0.8z = -6

Then you have to isolate the z, and to do so you have to divide both sides by 0.8.

0.8/0.8z = -6/0.8

The answer then comes out to be z = -7.5

Answer:

25550 is The Answer i think

Answer:

The driver will make it to the location in the next hour

Step-by-step explanation:

First, find how many miles they traveled in 3.25 hours, by multiplying 55 by 3.25:

55(3.25)

= 178.75

Then, add 55 to this to see if the driver will make it in the next hour:

178.75 + 55

= 233.75

Since this is greater than 230.2, this means they will make it to the location.

So, the driver will make it to the location in the next hour.

Answer:

Yes

Step-by-step explanation:

Since the truck driver is going at an average speed of 55 miles per hour and has already driven for 3.25 hours that means she has already covered a distance of ...

55 * 3.25 = 178.75 miles

If she continues at the same speed and travels for one more hour that means that she would cover another 55 miles which would put her at a total distance of ...

178.75 + 55 = 233.75 miles

Therefore, the answer would be Yes she would arrive at her location. ;)

Given :

Liam owns a small business selling bagels. He knows that in the last week 60 customers paid cash, 24 customers used a debit card, and 24 customers used a credit card.

To Find :

Based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.

Solution :

Probability that next person will pay with a debit card in percentage is :

[tex]P = \dfrac{\text{Number of customer used debit card}}{\text{Total number of customers}}[/tex]

[tex]P = 100\times \dfrac{24}{60 + 24 + 24}\\\\P = 100 \times \dfrac{24}{108}\\\\P = 22 \ \%[/tex]

Hence, this is the required solution.

Answer:51

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x and y is 1 and -3.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4y = 6 is an equation.

2x = 4 is an equation.

4x - 6x + 6x = 6 is an equation.

We have,

x - y = 4 _____(1)

4x + y = 1 _____(2)

From (1) we get,

x = 4 + y ____(3)

Putting (3) in (2) we get,

4x + y = 1

4 (4 + y) + y = 1

16 + 4y + y = 1

16 + 5y = 1

Subtract 16 on both sides.

5y = 1 - 16

5y = -15

Divide both sides by 5.

y = -3

Now,

Putting y = -3 in (3) we get,

x = 4 + y

x = 4 - 3

x = 1

Thus,

The value of x and y is 1 and -3.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

Yes, they have the same answer because because 150/15 = 10 and in the equation 15g = 150, you have to solve it by dividing 150 by 15 which gets 10. Therefor, they are the same.

Step-by-step explanation:

Answer: They have the same solution.

Step-by-step explanation: 15g=150 has an answer of 10 ft. (divide 150 by 15 to get g alone.) 150/15=g has an answer of 10 as well. (Simplify to find g.)

Answer:

translation then reflection

Step-by-step explanation:

Answer: 300

Step-by-step explanation:

Step-by-step explanation:

Let P be price after t year . From the formula of compounding

P = 9 (1.015)^t

Taking log to the base e on both sides

ln P = ln 9 + t ln 1.015

= (2.197 + .0149t )

P = e^{(2.197+.0149t)}

Answer: 39.9

Step-by-step explanation: 9.5×4.2

Answer:

The answer is 39.9

Step-by-step explanation:

The formula for a parallelogram is base multiplied by height so 9.5 × 4.2 is equal to 39.9 :) hope this helps

Answer:

sjdhdjdbdkendbdidjdnd

Answer:

23n +5

Step-by-step explanation:

break down the expression into parts

5 more is +5

product is multiplication of 23 and n so 23n

then put it together

please give thanks :)

Step-by-step explanation:

The equation of the line is y = 1.5x + 3.

Answer:

0.1875

Step-by-step explanation:

3/4/6(2/3)

3/4/12/3

3/4/4

0.75/4

=0.1875

Answer:

623

hope this helped?

Step-by-step explanation:

9x - 7 - 3x + 9 = x + 7 + 5x + 9

6x + 2 = 6x + 16

2 = 16

Since 2 = 16 is false, there exist no real solutions for x.

Final Answer: No Solution. The equation would have 0 solutions.

Steps/Explanations:

Hey there! The answer is No Solution because -7 = 7. If 7 = 7, then it would be true and have one solution, which is not the case here.

Step 1: You should cancel [tex]9[/tex] on both sides.

[tex]9x - 7 - 3x = x + 7 + 5x[/tex]

Step 2: Simplify [tex]9x - 7 - 3x[/tex] to [tex]6x - 7[/tex].

[tex]6x - 7 = x + 7 + 5x[/tex]

Step 3: Simplify [tex]x + 7 + 5x[/tex] to [tex]6x + 7[/tex].

[tex]6x - 7 = 6x + 7[/tex]

Step 4: You'll need to cancel [tex]6x[/tex] on both sides.

[tex]- 7 = 7[/tex]

Step 5: Since [tex]-7 = 7[/tex] is false, there would be no solution.

No Solution

~I hope I helped you :)~

Answer:

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

Step-by-step explanation:

Given the points

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)[/tex]

as

[tex]3\frac{1}{2}=\frac{7}{2}=3.5[/tex]

[tex]2\frac{3}{4}=\frac{11}{4}=2.75[/tex]

so the point can be visualized as:

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex]

Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

Answer: maybe its 6

Step-by-step explanation:

i think its 6 because it has +3 so maybe adding 3+3

Answer:

D. 4

Step-by-step explanation:

Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.

Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.

Hope this helped!

Your answer will be D.

So, you have the angles 12, 9, 6, and 3. You may see that the place that 6 is makes this a non perfect square. When you have this problem simply add the number on top of it with the number that makes this problem.

For instance...

[tex]\boxed{6+3=9}[/tex]

So, when finding area you must multiply the 2 lengths with each other.

So here our bottom length is also 12. Thus, we must multiply 9 and 12 together.

For instance...

[tex]\boxed{9*12=108}[/tex]