write as a single fraction 1/1_x+2/1+x

Answers

Answer 1

To combine two divisions, we got to have a common denominator. In this case, ready to utilize the distributive property to induce a common denominator of (1+x) for both divisions:

1/(1x) + 2/(1+x) = 1/(1x*(1+x)) + 2x/(x(1+x))

Directly able to combine the two divisions by counting their numerators and composing them over the common denominator:

1/(1x(1+x)) + 2x/(x(1+x)) = (1+2x)/(x(1+x))

In this way, the given expression as a single division is:

(1+2x)/(x(1+x))

Answer 2

Writing 1/(1 + x) + 2/(1 + x) as a single fraction , we get 3/(1 + x)

Writing the expression as a single fraction

From the question, we have the following parameters that can be used in our computation:

1/1_x+2/1+x

Express the fractions properly

So, we have

1/(1 + x) + 2/(1 + x)

Take the LCM of the fractions

So, we have

(1 + 2)/(1 + x)

Evaluate the sum of like terms

3/(1 + x)

Hence, the solution is 3/(1 + x)

Related Questions

Events A and B are independent, with P(A) = 0.25 and P(A and B) = 0.10

Answers

Answer:

Step-by-step explanation:

o.10

5^(x − 2) = 8 using the change of base formula log base b of y equals log y over log b.

Answers

The value of "x" in the expression 5ˣ⁻² = 8; by using the change of base formula is approximately 3.2920.

We have to find the value of "x" in the "logarithmic-expression" : 5ˣ⁻² = 8; for which we have to use the change-of-base formula, which is [tex]log_{b} (y) = \frac{log(y)}{log(b)}[/tex].

we take "log" on both sides of 5ˣ⁻² = 8;

We get,

⇒ (x-2)log(5) = log(8),

⇒ x-2 = log(8)/log(5),

By using the "change of base formula",

We get,

⇒ x-2 = log₅(8),

⇒ x-2 = 1.2920

⇒ x = 1.2920 + 2;

⇒ x ≈ 3.290,

Therefore, the value of x is approximately 3.2920.

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The given question is incomplete, the complete question is

Find the value of "x" in the expression 5ˣ⁻² = 8 . Using the change of base formula [tex]log_{b} (y) = \frac{log(y)}{log(b)}[/tex].

tan * 23 = 22/x. Hey

Answers

The solution of the given equation; tan 23 = 22 / x for the variable x as required is; 52.07.

What is the value of x in the given equation?

It follows from the task content that the value of x in the given equation is to be determined.

Since the given equation is; tan (23) = 22 / x;

By multiplying both sides by; x / tan (23); we have that;

x = 22 / tan (23)

x = 22 / 0.4225

x = 52.07.

Ultimately, the solution of the equation for x is; 52.07.

Answers

Based on the nutritional facts provided, there are 4.8 grams of unsaturated fat in 240 g of these crisps.

What percentage of fats are unsaturated fats?

Based on the nutritional facts provided, 2/35 of fat are unsaturated fats.

The percentage of unsaturated fat in 35% of fats is calculated below:

The percentage of unsaturated fat in 35% fats = 2/35 * 35/100

The percentage of unsaturated fat in 35% fats = 2.00%

The mass in grams of unsaturated fat in 240 g of crisps, is calculated below as follows:

mass in grams of unsaturated fat = 2% * 240 g

mass in grams of unsaturated fat = 4.8 g

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You start at (-4, 3). You move left 1 unit and right 2 units. Where do you end?

Answers

Answer:

(-3,3)

Step-by-step explanation:

left 1 = (-5,3)

right 2 = (-3,3)

Answer:

-3,3

Step-by-step explanation:

*Refer to image*
Pls answer I have so many SIMILAR unanswered questions for 20 brilliance too

Answers

The length of the segment VW, obtained using the relationship between similar triangles and Pythagorean Theorem is; VW = 5·√3

What are similar triangles?

Similar triangles are triangles that have the same shape or in which in one of the triangles, two of the angles are congruent to two angles in the other triangle.

The common external tangent indicates that the radius WZ and XY are both perpendicular to the tangent [tex]\overline{VX}[/tex], therefore;

WZ and XY are parallel and triangles ΔVWZ and ΔVXY are similar triangles

VW/5 = VX/15

VW = 5 × (VX/15) = VX/3

ZY = 5 + 15 = 20

VY = VZ + ZY = VZ + 20

VZ = VY/3

VY = VY/3 + 20

VY - VY/3 = 20

(2/3) × VY = 20

VY = 20 × 3/2 = 30

Pythagorean Theorem indicates

VX = √(30² - 15²) = 15·√3

VX = 15·√3

VW = VX/3, therefore;

VW = 15·√3 ÷ 3 = 5·√3

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jenna borrows $8000 for college at a yearly simple interest rate of 6%. she takes 15 years to pay off the loan and interest. how much interest does she pay?

Answers

Answer: $7,200 So, Jenna pays a total of $7,200 in interest.

Step-by-step explanation:

we can multiply the yearly interest by the number of years: Total Interest = Yearly Interest × Number of Years Total Interest = $480 × 15 Total Interest = $7,200 So, Jenna pays a total of $7,200 in interest.

Answer:

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

the interest caclucuation:

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays:

= $7200 +$8000

= $15,200

Greg bought a jacket for $38.32, a flag for $12.25, and a glove for $12. 75. He paid $60 and the rest he borrowed from his friend. If Greg got $6.68 in change from the cashier, how much did he borrow
from his friend to pay for all the items?
Greg borrowed from his friend to pay for all the items.

Answers

Answer:

Greg borrowed $10 from his friend.

Step-by-step explanation:

[tex]38.32+12.25+12.75 = 63.32 \\ 63.32 - 60 = 3.32 \\ 3.32 + 6.68 = 10[/tex]

(Chapter 13) If K(t) = 0 for all t, the curve is a straight line.

Answers

This statement is false. If K(t) = 0 for all t, it means that the curvature of the curve at any point is zero.

This does not necessarily imply that the curve is a straight line. A curve can have zero curvature at some or all points and still not be a straight line, for example, a circle. A straight line is characterized by having zero curvature everywhere, but having zero curvature does not necessarily mean that a curve is a straight line.

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Write the appropriate equation

Answers

The equation of the parabola is

y = 5/3(x + 2) (x - 4)

How to find the equation of the parabola

The equation of the parabola is solved using the equation

y = a(x - r1) (x - r2)

where r1 and r2 are the roots or x-intercept

The roots of the equation is given as -2 and 4.

hence we have that

y = a(x + 2) (x - 4)

Using (-1, -3) we solve for a

-3 = a(-1 + 2) (-1 - 4)

-3 = a(1) (-5)

-3 = -5a

a = 3/5

Plugging this figure back into the original equation,

y = 5/3(x + 2) (x - 4)

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You buy one container each of strawberries,
blueberries, and cherries. Cherries are $1 more per container than blueberries, which are $1 more per container than strawberries. The product of the 3 individual prices is 5 times the total cost of one container of each fruit.
a. Write a polynomial function to model the cost of your purchase.

Answers

Answer: its 7 i took the quiz

Use a triple integral to find the volume of the given solid.The solid enclosed by the paraboloidsy = x2 + z2andy = 72 − x2 − z2.

Answers

The volume of the given solid enclosed by the paraboloids y = x2 + z2andy = 72 − x2 − z2 is 10368 cubic units.

Using a triple integral, we will integrate over the region of the xz-plane that is enclosed by the paraboloids.

The limits of integration for x and z can be found by solving the two equations for x^2 + z^2:

$x^2 + z^2 = y = x^2 + z^2 + 72 - x^2 - z^2$

$x^2 + z^2 = 36$

Therefore, the limits of integration for x and z are from -6 to 6.

The limits of integration for y are from the equation of the lower paraboloid $y = x^2 + z^2$ to the equation of the upper paraboloid $y = 72 - x^2 - z^2$.

Therefore, the limits of integration for y are from $x^2 + z^2$ to $72 - x^2 - z^2$.

The triple integral for the volume of the solid is:

$\iiint_V dV = \int_{-6}^{6} \int_{-6}^{6} \int_{x^2+z^2}^{72-x^2-z^2} dy dz dx$

Integrating with respect to y:

$\int_{x^2+z^2}^{72-x^2-z^2} dy = 72 - 2(x^2 + z^2)$

Substituting this into the triple integral gives:

$\iiint_V dV = \int_{-6}^{6} \int_{-6}^{6} (72 - 2(x^2 + z^2)) dz dx$

Integrate with respect to z:

$\int_{-6}^{6} (72 - 2(x^2 + z^2)) dz = 72(12) - 4x^2(6) = 864 - 24x^2$

Integrate with respect to x:

$\int_{-6}^{6} (864 - 24x^2) dx = 2(864)(6) - 2\int_{0}^{6} (24x^2) dx = 10368$

Therefore, the volume of the solid enclosed by the paraboloids $y = x^2 + z^2$ and $y = 72 - x^2 - z^2$ is 10368 cubic units.

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why does it make sense that the prediction interval for y would be wider than the confidence interval? multiple choice question. it doesn't make sense. the confidence interval is for the mean of y, and the prediction interval is for a single value. the confidence interval has more degrees of freedom then the prediction interval.

Answers

The correct answer is Prediction intervals make sense since they account for both the vulnerability in evaluating the mean and the inconstancy of personal perceptions.

A confidence interval is an estimate of the range of values over which the true population mean is likely to fall within the specified confidence level.

It is based on the sample mean and sample size and assumes that the variability of observations is constant across the range of predictor variables.

A prediction interval, on the other hand, is an estimate of the range of values to which a single observation is likely at a given confidence level.

This accounts for both the uncertainty in estimating the mean and the variability of individual observations.

It is therefore wider than a confidence interval that only accounts for the uncertainty in estimating the mean.

Therefore, it makes sense that the prediction interval for y is wider than the confidence interval.

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the size of a house (in square feet) can be used to model its selling price (in 1,000 dollars). simple linear regression results: dependent variable: price independent variable: size sample size: 8 r (correlation coefficient)

Answers

Based on the information you provided, it seems that a simple linear regression model was used to analyze the relationship between the size of a house (in square feet) and its selling price (in 1,000 dollars).

The dependent variable in this model was the price, while the independent variable was the size. The sample size used for this analysis was 8.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient would indicate how closely the selling price of a house is related to its size. The value of r can range from -1 to 1, with values closer to -1 or 1 indicating a stronger relationship, while values closer to 0 indicate a weaker relationship.

Without knowing the specific value of r, it is difficult to draw conclusions about the strength of the relationship between the size of a house and its selling price. However, in general, it is reasonable to assume that there is a positive correlation between these two variables - that is, as the size of a house increases, its selling price is likely to increase as well.

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match the following items. 1 . circular permutation the product of all the natural numbers from an integer down to one 2 . factorial the indicated sum of the terms of an associated sequence 3 . series an order of elements of a set 4 . permutation an ordering of elements in a circle

Answers

Circular permutation refers to the ordering of elements in a circle, factorial refers to the product of all the natural numbers from an integer down to one, series refers to the indicated sum of the terms of an associated sequence, and permutation refers to the order of elements of a set. It is important to understand these terms in order to have a solid foundation in mathematics.

Circular permutation refers to an ordering of elements in a circle. Factorial, on the other hand, is the product of all the natural numbers from an integer down to one. It is denoted by the exclamation mark (!). Series, on the other hand, refers to the indicated sum of the terms of an associated sequence. Finally, permutation is an order of elements of a set.

To summarize, circular permutation refers to the ordering of elements in a circle, factorial refers to the product of all the natural numbers from an integer down to one, series refers to the indicated sum of the terms of an associated sequence, and permutation refers to the order of elements of a set. It is important to understand these terms in order to have a solid foundation in mathematics.

1. Circular permutation - an ordering of elements in a circle.
In a circular permutation, the arrangement of items is considered in a circular fashion rather than in a linear order. The number of circular permutations for 'n' elements can be calculated using the formula (n-1)!.

2. Factorial - the product of all the natural numbers from an integer down to one.
Factorial, denoted by the symbol '!', represents the product of all the positive integers from a given integer down to one. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

3. Series - the indicated sum of the terms of an associated sequence.
A series is the sum of the terms in a given sequence, often represented by the summation symbol Σ. For example, the sum of the first 'n' natural numbers is represented as Σ(i=1 to n) i = n(n+1)/2.

4. Permutation - an order of elements of a set.
A permutation refers to the arrangement of elements in a specific order within a set. The number of possible permutations for a set of 'n' elements, taken 'r' at a time, can be calculated using the formula n!/(n-r)!.

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In reference to line items, how many permutations are possible with the letters "ABC"?

Answers

So there are 6 permutations possible with the letters "ABC". These are: ABC, ACB, BAC, BCA, CAB, CBA.

Permutations are a way of arranging objects in a specific order. The number of permutations of a set of n distinct objects is given by n!, where n! denotes the factorial of n.

In the case of the letters "ABC", there are three distinct objects: A, B, and C. Therefore, the number of permutations possible with these letters is:

3! = 3 x 2 x 1 = 6

This means that there are 6 possible ways of arranging the letters "ABC" in a specific order. These permutations are:

ABC

ACB

BAC

BCA

CAB

CBA

To see why there are 6 possible permutations, consider the first position. There are three letters to choose from, so there are three possible choices for the first position. Once the first letter is chosen, there are two letters left to choose from for the second position. Finally, there is only one letter left to choose from for the third position. Therefore, the total number of permutations is:

3 x 2 x 1 = 6

In summary, the number of permutations of a set of n distinct objects is given by n!, and in the case of the letters "ABC", there are 3! = 6 possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA.

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#13Change from standard form to vertex formy= -2xÂ²+12x-21

Answers

Therefore, the vertex form of the equation is y = -2(x - 3)² - 3.

To change the standard form of a quadratic equation to vertex form, we need to complete the square.

First, we factor out the leading coefficient -2 from the quadratic terms:

y = -2(x² - 6x) - 21

Next, we need to add and subtract a constant term inside the parenthesis to make the quadratic term a perfect square trinomial:

y = -2(x² - 6x + 9 - 9) - 21

y = -2((x - 3)² - 9) - 21

y = -2(x - 3)² + 18 - 21

y = -2(x - 3)² - 3

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Nasim invests money in an account paying a simple interest of 1. 3% per year. If he invests $70 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?

Answers

If Nasim invests money in an account paying a simple interest of 1. 3% per year and he invests $70 and no money will be added or removed from the investment, the amount he will have in one year is 70 dollars and 91 cents

Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:

Interest = P * r * t

where P is the principal

r is the rate of interest (in decimal)

t is the time

Given in the question,

P = $70

r = 1.3% = 0.013

t = 1 year

Interest = 70 * 0.013 * 1

= $0.91

Amount = P + i

where P is principal

i is interest

A = 70 + 0.91

A = $70.91

The amount that Nasim has after 1 year is $70.91.

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20 POINtS HELP PLEASE ASAP

Answers

Answer: B. 5.6 mi

Step-by-step explanation:

The want you to convert 9km to mi

you can multiply by conversion factors to convert

[tex]9km*\frac{1 mi}{1.61 km}[/tex] >The conversion factor is equivalent measurements. The

>measurement you want to cancel out goes on the bottom.

=5.6 mi

Find the exact value of sin 4π/3 using both double and half angle identities.

Answers

The exact value of sin 4π/3 using both double and half angle identities is: -¹/₂√3

How to use Trigonometric Identities?

Trigonometric Identities are defined as the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle.

Using the trigonometric identity: sin 2A = 2sin A cos A

Thus:

sin 2(2π/3) = 2 sin (2π/3) cos (2π/3)

From trigonometric tables, we have:

= 2((√3)/2 * -1/2)

= -¹/₂√3

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Can someone help with this question please

Answers

The sine of the angle θ is given as follows:

sin(θ) = -16/65.

How to obtain the sine of angle θ?

The trigonometric identity relating the cosine of an angle, along with the sine of the same angle, is given as follows:

sin²(θ) + cos²(θ) = 1.

In this problem, we have that cos(θ) = 63/65, hence the sine of θ is obtained as follows:

sin²(θ) + (63/65)² = 1

sin²(θ) = 1 - (63/65)²

sin(θ) = +/- sqrt(1 - (63/65)²)

sin(θ) = -16/65.

The sine has a negative sign as on the fourth quadrant, the sine is negative.

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Consider the following system of equations.
y=6x² +1
y-x²+4
Which statement describes why the system has two solutions?
Each graph has one y-intercept, which is a solution.
O Each graph has one vertex, which is a solution.
The graphs of the equations intersect the x-axis at two places.
O The graphs of the equations intersect each other at two places.

Answers

Note that the system of graphs has two y-intersects hence the two solutions. Note tht in the graph there ar etwo parabolas.

What is a y-intercept?

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation meets the coordinate system's y-axis. This is done in analytic geometry using the usual convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points fulfill x = 0 because of this.

Replace x in the equation with 0 and then solve for y, keeping in mind that the y-intercept always has an associated x-value of 0. Finding the value of y at x=0 on a graph will reveal the y-intercept. The graph's intersection with the y-axis occurs at this location.

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what is the greatest three-digit positive integer n for which the sum of the first n positive integers is not a divisor of the product of the first n positive integers? (2019 amc 10a problem 9) (a) 995 (b) 996 (c) 997 (d) 998 (e) 999

Answers

The largest three-digit positive integer n for which the sum of the first n positive integers is not a divisor of the product of the first n positive integers is 995.

We have,

To solve this problem, let's consider the sum and the product of the first n positive integers separately.

The sum of the first n positive integers can be expressed as:

S = 1 + 2 + 3 + ... + n = (n(n+1))/2.

The product of the first n positive integers can be expressed as:

P = 1 x 2 x 3 x ... x n = n!.

We want to find the largest three-digit positive integer n for which S is not a divisor of P.

Since P = n! grows faster than S = (n(n+1))/2, we need to find a value of n where P is not divisible by S.

By observing the answer choices, we can start from the largest answer choice and work our way down until we find a value where P is not divisible by S.

Let's test the values of n given in the answer choices:

For n = 999:

P = 999! and S = (999(999+1))/2 = 499500.