If y(x) = 3(x+5) +4/x, what is f(a+ 2)?

Answers

Answer 1

Answer:

Step-by-step explanation:

Theyre basically telling you that x = (a + 2)

All you have to do is replace x with a + 2

\(f(a+2)=3(a+2+5)+\frac{4}{a+2}\)

Next you have to simplify, 2+5 = 7 to get 3(a+7). Apply the distributive property to get 3a + 21. Your new equation is now:

\(f(a+2)=(3a+21)+\frac{4}{a+2}\)

Now here's the issue, you cant add those two terms yet because we need a common denominator. Multiply the numerator and denominator of 3a + 21 by a+2 to get:

\(=\frac{(a+2)(3a+21)}{a+2} +\frac{4}{a+2}\)

You gotta now apply FOIL to get:

\(\frac{3a^2+27a+42}{a+2} +\frac{4}{a+2} = \frac{3a^2+27a+46}{a+2}\)

There is your answer


Related Questions

Help pleassss..................

Help pleassss..................

Answers

Answer:

x=4

Step-by-step explanation:

First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.

Answer: X = 4

Step-by-step explanation:

7x+36=64

7x+36−36=64−36

7x=28

Divide both sides by 7.

7x

7 =

28

7

x=4

HOPE THIS HELPS!!!!!! : )

-3(2m+4)=4(5/4-m/2)
whats is the solution to the equation?

Answers

Answer:

m=−  ​4/17

also use this site called cymath.com thats were i get my answers it works it out for you too :)

Step-by-step explanation:

1 Expand.

-6m-12=5-2m−6m−12=5−2m

2 Add 6m6m to both sides.

-12=5-2m+6m−12=5−2m+6m

3 Simplify  5-2m+6m5−2m+6m  to  5+4m5+4m.

-12=5+4m−12=5+4m

4 Subtract 55 from both sides.

-12-5=4m−12−5=4m

5 Simplify  -12-5−12−5  to  -17−17.

-17=4m−17=4m

6 Divide both sides by 44.

-\frac{17}{4}=m−

​4

​17

​​ =m

7 Switch sides.

m=-\frac{17}{4}m=−

​4

​17

​​  

What is the distance between z1 = 5 - 2i and z2 = 8 + i?


13.3

18

Answers

Answer:

13.3

Step-by-step explanation:

Answer:

13.3 -_-

Step-by-step explanation:

The number of days in a month is measured in the ones.
A. True
B. False

Answers

Answer:  

False

Step-by-step explanation:

It is pretty simple

Answer:

That statement is false I think

Lana draws ΔLMN on the coordinate plane. What is the perimeter of ΔLMN? Round to the nearest unit.

Lana draws LMN on the coordinate plane. What is the perimeter of LMN? Round to the nearest unit.

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Can You please help me ​

Can You please help me

Answers

9514 1404 393

Answer:

  S > 2

Step-by-step explanation:

In this context, "over" means "greater than." The problem statement tells you the weight (S) is greater than 2 kilograms:

  S > 2

How many does 3/4 go into 2 2/3?

Answers

Answer:
(3/4)*(x) = 2/3

Step-by-step explanation:
If you make an equation (3/4)*(x) = 2/3 then the x would represent how many 3/4ths will be equal to 2/3rds since multiplying by that number x represents is like adding up how many of the 3/4ths you need to equal what’s on the other side of the equals sign - so from there you just solve the equation for x..

Answer:

3 times at most

Step-by-step explanation:

\(2\frac{2}{3}\div\frac{3}{4}\)

\(\frac{8}{3}\div\frac{3}{4}\)

\(\frac{8}{3}*\frac{4}{3}\)

\(\frac{32}{9}\)

\(3\frac{5}{9}\)

Therefore, 3/4 goes into 2 2/3 three times at most  

for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.

for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are

Answers

An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?

Answers

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

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Kaitlin buys candy that costs $6 per pound. She will spend less than $30 on candy. What are the possible numbers ofpounds she will buy?Use p for the number of pounds Kaitlin will buy.Write your answer as an inequality, solved for p.

Answers

Answer:

The number of pounds Kaitlin will buy

p < 5

Explanation:

Given that each pound of candy costs $6

Since Kaitlin will spend less than $30 on candy, let the number of pounds she can buy with less than $30 be p, then

6p < 30

Divide both sides by 6

p < 30/6 = 5

p < 5

Need help with my Math homework

Need help with my Math homework

Answers

Answer:

Step-by-step explanation:

Need help with my Math homework

The ratio of red paint and blue paint in paint mixture is 3:4 . How much blue paint is needed to make 1400 ml of paint mixture

Answers

According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Liter or litre—which is correct in India?Liter and litre are equivalent terms. Liter is favoured by American English, while Liter is utilized by all English-speaking nations inspired by Europe and British English Both red and blue colors have a 3:4 ratio, we require 3 litres of red paint for every 4 litres of blue paint, which implies that we need 3/4 litres of red paint for every litre of blue paint and 6 litres of blue paint for every litre of red paint.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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а
ا ن و و
An account paying 4.6% interest compounded quarterly has a balance of $506,732.32. Determine the amount that
can be withdrawn quarterly from the account for 20 years, assuming ordinary annuity.
$9,722.36
b $6,334.15
$23,965.92
d. $7,366.99

Answers

B 6,334.15 because
An account paying
4.6% intrest
And

Answer:

answer Option A $9,722.36

I am 100% sure


A large manufacturing company models the number of workers it hired each year after 2010 using the function shown on the graph.

Answers

Answer:

350 and is not

Step-by-step explanation:

just took the test

Answer:350 and is not

Step-by-step explanation:

A large manufacturing company models the number of workers it hired each year after 2010 using the function

PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship

PLEASE HELP FAST !!!!!!!!Identify the equation that represents a quadratic relationship

Answers

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Write down the coordinates of point B?

Write down the coordinates of point B?

Answers

Answer:

The answer is 4,5.

Step-by-step explanation:

Go over 4 times and go up 5, and there is your answer.

All of the pairs of corresponding angles and sides in ΔCAT and ΔDOG are congruent. Based on this information, which of the following is a true statement?

Answers

A true statement based on the given information is that ΔCAT and ΔDOG are similar triangles, meaning their corresponding angles are congruent and their corresponding sides are in proportion.

If all pairs of corresponding angles and sides in triangles ΔCAT and ΔDOG are congruent, it implies that the two triangles are similar. In similar triangles, the corresponding angles are congruent, and the corresponding sides are in proportion.

Based on this information, the following true statement can be made:

The ratio of the lengths of the corresponding sides in ΔCAT and ΔDOG is equal.

For example, if the corresponding sides are CA and DO, the ratio CA/DO will be equal to the ratio of the lengths of the other corresponding sides.

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A professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter are given below.Student No. Hours Spent Studying Total Points Earned1 25 182 10 133 70 534 40 435 85 686 45 287 70 688 60 589 35 2310 55 43Simple Regression - POINTS vs. HOURSDependent variable: POINTSIndependent variable: HOURSLinear model: Y=a +b*XCoefficientsLeast Squares Standard TParameter Estimate Error Statistics P-ValueIntercept 0.437798 5.9182 0.073948 o.9428Slope 0.829539 0.109474 7.57748 0.0001Analysis of VarianceSource Sum of Squares Df Mean Square F-Ratio P-ValueModel 3249.72 1 3249.72 57.42 0.0001Residual 452.779 8 56.5974 Total (Corr.) 3702.5 9The following questions are based on the information above.1) Write down the estimated regression equation that could be used to estimate the total points earned in the course given the hours spent studying.2) At the 0.05 level of significance, does hours spent studying have a significant effect on the total points earned in this course?3) Find the standard error of the estimate.4) Use the estimated regression to predict the points of a student who spent 50 hours studying for this course.5) If a student spent 120 hours studying for this course, would you feel comfortable to use your estimated regression equation to predict his points? Why?6) What's the R-squared?7) Do you believe your estimated regression equation would provide a good prediction of the points? Use R-squared from Question 8 to support your answer.

Answers

Answer:

1. y = 0.437798+0.829539X

2. there is a significant effect

3. 7.523

4. 41.914

5. no

6. 0.8777

Step-by-step explanation:

1.

from the regression output we have

intercept = 0.437798

slope = 0.829539

the regression line would therefore be =

y = 0.437798 + 0.829539X

2.

h0 = regression is not significant

h1: regression is significant

alpha = 0.05

p value = 0.0001

we compare p-value with alpha

0.0001<0.05

we therefore reject H0 and conclude that hours spent studying have significant effect on total points.

3.

To get standard error of estimate:

mean sum of squared error = MSE

MSE = 56.5974

= √56.5974

= 7.523

4.

points of a student who spent 50 hours studying. we calculate this from the regression line

y = 0.437798 + 0.829539X

x = 50

y = 0.437798 + 0.829539(50)

y = 41.914

5.

no I would not be comfortable using estimate regression equation to predict his point of a student spent 120 hours studying. this value is out of range of the predictor values (independent variables)

6. to get (r squared)

r² = SSR/SST

SSR = 3249.72

SST = 3702.5

r² = 3249.72/3702.5

= 0.8777

7.

we are supposed to solve question 7 from question 8. but no question 8 was given. hence no solution

Share $200 between Alice and Brian in the ratio 3 : 5
Alice’s share .......……………………Brian’s share .......……………………

Answers

Answer:

Alice: $75

Brian: $125

Step-by-step explanation:

3 + 5 = 8

200 ÷ 8 = 25

25 × 3 = 75

25 × 5 = 125

The question is asked in the attached file,. Kindly someone answer it in the best way.

The question is asked in the attached file,. Kindly someone answer it in the best way.

Answers

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

What does the Empirical Rule state?

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.

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A
X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C

AXFind the value of x.DX+2x = [?]B3E2C

Answers

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

I will give Brainliest!! \(•ᴗ^๑)/   ♪~

A store manager was trying to figure out how many people did their shopping online compared to doing it in stores. To do this she polled several houses in the nearby neighborhoods. The results are shown below:

Based on the information presented can you infer anything about the number of people who did their shopping online vs. in-store?​

I will give Brainliest!! \(^)/ ~ A store manager was trying to figure out how many people did their shopping

Answers

Based off of this information, it looks like there are more online shoppers than in-store shoppers, more simply because there are 4 arrays that have more online shoppers than in-store shoppers, and 3 arrays that have more in-store shoppers than online shoppers, and 1 array that has an even amount of shoppers. But if you add up the numbers for a total of 160/161, you see there are more in-store shoppers than online shoppers.

So there are more in-store shoppers total.

what is the volume of a cube with 2 1/4 inch sides

Answers

Answer:11.39

Step-by-step explanation:

In the art club, there are 2 seventh graders for every 3 eighth graders. At
this year's art fair, there were 7 paintings by seventh graders for every 12
paintings by eighth graders. Is the ratio of seventh graders to eighth
graders in the art club equivalent to the ratio of paintings by seventh
graders to paintings by eighth graders? *

Answers

Answer:

no

Step-by-step explanation:

2/3 does not equal 7/12.

there would need to be 8 paintings by seventh graders for every 12 by eighth graders in order to have an equivalent ratio.

(giving brainiest)

Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar?

A. 16 pints
B. 24 pints
C. 384 pints
D. 6,144 pints

Answers

Answer:

B- 24 pints

Step-by-step explanation:

128 x 3= 384 ounces

1 ounce = 0.0625

0.0625 x 384= 24 pints

Hope this helps ^-^

Identify which property was used to find the equivalent expressions.
ab = ba
5(3x - 2) = 5(3x) -5(2)
:: Commutative Property of Addition
:: Commutative Property of Multiplication
.. Distributive Property
:: Inverse Property of Addition

Identify which property was used to find the equivalent expressions.ab = ba5(3x - 2) = 5(3x) -5(2)::

Answers

Step-by-step explanation:

ab = ba → Commutative Property of Multiplication

5(3x - 2) = 5(3x) - 5(2) → Distributive property

Commutative Property of Addition → a + b = b + a

Inverse Property of Addition → a + (-a) = 0

what will be the cost of a carpeting a rectangular room of 6 m long and 4 m wide with the carpet of width 1.5 m at rupees 200 per metre


need explanation pls....
(⁠>⁠0⁠<⁠;⁠)​

Answers

To determine the cost of carpeting the room, we first need to calculate the area of the room that needs to be carpeted.

The area of the room is:

A = l × w

A = 6 m × 4 m

A = 24 square meters

Next, we need to determine the area of the carpet required. Since the carpet has a width of 1.5 m, we can think of the room as being covered by a series of strips of carpet, each of width 1.5 m. We need to calculate the length of each strip and then multiply that by the width of the carpet.

The length of each strip is equal to the length of the room, which is 6 m. So, the area of each strip of carpet is:

A_strip = l × w_carpet

A_strip = 6 m × 1.5 m

A_strip = 9 square meters

To cover the entire room, we will need to use several strips of carpet. The number of strips required is the total area of the room divided by the area of each strip:

Number of strips = A / A_strip

Number of strips = 24 square meters / 9 square meters

Number of strips = 2.6667 strips

Since we cannot use a fractional number of strips, we will need to round up to 3 strips of carpet.

The total area of carpet required is the area of each strip multiplied by the number of strips:

Total area of carpet = A_strip × Number of strips

Total area of carpet = 9 square meters × 3

Total area of carpet = 27 square meters

Finally, we can calculate the cost of carpeting the room at the given rate of rupees 200 per meter:

Cost of carpeting = Total area of carpet × Cost per meter

Cost of carpeting = 27 square meters × Rs. 200 per meter

Cost of carpeting = Rs. 5,400

Therefore, the cost of carpeting the rectangular room of 6 m long and 4 m wide with the carpet of width 1.5 m at rupees 200 per meter would be Rs. 5,400.

consider the following method, which is intended to return the product of 3 and the nonnegative difference between its two int parameters.

Answers

Answer: the answer is try hard and if you don’t succeed try try again

Step-by-step explanation:

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is not a spade

Answers

39/52 a standard deck has 13 spades so 52-13=39 then 39 cards out of the 52 is 39/52

Question 2 of 49
Lines AB and XY are best described as which of the following?
A. Perpendicular rays
B. Perpendicular segments
C. Perpendicular lines
D. Parallel lines

Question 2 of 49Lines AB and XY are best described as which of the following?A. Perpendicular raysB.

Answers

Option (b) is the correct answer: Perpendicular segments.

Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.

1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.

2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.

3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.

4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).

Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.

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