A rational function g is given below. Find all values of a for which ​g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)

Answers

Answer 1

Answer:

a = 2/3

Step-by-step explanation:

(4(x+1) + 20 )/(x+1) = 16

4x + 4 + 20 = 16x + 16

12x = 8

x = 2/3


Related Questions

what is 6% of 36,990

Answers

Answer:

2219.4

Step-by-step explanation:

All you have to do is 6% of 36990 = 0.06 * 36990 = 2219.4

YOOOO SOMEONE HELP ME

Answers

Answer:

180 degrees in either direction

Step-by-step explanation:

picture it on a piece of paper, if you turn it once, the image becomes longer vertically, but if you flip it again, it looks like it does originally. If this is confusing, actually draw it and see how many times you need to rotate the page to make it look identical to the one you posted. 1 turn = 90 degrees.

Explain why this common mistake is wrong. Many people might say that (2, 4) is an intercept of the equation 5x + 2y = 18.

Answers

Answer:

Step-by-step explanation:

(2,4) is point lying on the line represented by 5x + 2y  = 18.

They are not intercepts.

x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.

y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.

5x + 2y = 18

To find x-intercept, put y = 0 in the equation

           5x = 18

             x = 18/5

             x = 3.6

To find y-intercept, put x = 0 in the equation

          2y = 18

             y = 18/2

             y = 9

x-intercept : (3.6 , 0)

y-intercept :(0, 9)

What is the area of this shape?

A. 42 cm squared
B. 35 cm squared
C. 26 cm squared
D. 14 cm squared

Answers

Answer:

A. 42 cm²

Step-by-step explanation:

Rectangle Area: lw

Put the measurements into the expression

(7)(5)

7•5 = 35

Triangle Area: 1/2bh

1/2(7)(2)

1/2(14)

7

Add them together: 35 + 7 = 42 cm²

Easy question! The polygons in each pair are similar. Find the missing side length

Answers

25
The other polygon the top is 5 less than the longer side. If they are similar the top of the first polygon must be 25.

Answer:

24

Step-by-step explanation:

20           x

----    =    ----

25          30

Cross Multiply (20, 30 and 25, x)

25x = 600

Divide both sides by 25

x = 24

Solve for x in the equation 2 x squared minus 5 x + 1 = 3.

Answers

Answer:

x=-0.35 or x=2.85

Step-by-step explanation:

2x^2-5x+1=3

2x^2-5x-2=0

use quadratic formula

x=(5±√41)/4

decimals = x=-0.35 or x=2.85

Answer:

option D

Step-by-step explanation:

I took the test

find the HCF and LCM of 150 and 225

Answers

Answer:

The LCM of 150 and 225 is 450.

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

Look at the methods to find the HCF (150, 225)

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....

Write an equation in slope-intercept form of the
line with slope -1/3 that contains the point (-3,-5).

Answers

The equation would be y = -1/3x -6

help asap!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 sq un, and 9 sq un

Step-by-step explanation:


Mark works 24 hours a week and earns £11.63.
Calculate Mark's weekly basic pay and then find his annual salary

Answers

Weekly pay = amount per hour x number of hours:

24 x 11.63 = 279.12

Annual salary = weekly pay x 52 weeks:

279.12 x 52 = 14,514.24

Kenny has $500 in a savings account. The interest rate is 4%, compounded annually.
To the nearest cent, how much will he have in 1 year?

Answers

Answer:

After one year Kenny will have $520.

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

500(0.04) = kenny's annual interest rate return= 20

500+20= total dollars kenny has in a year

please help!! i’ll mark best answer brainliest!!

Answers

Answer:

Z = 13

Step-by-step explanation:

Both of the angles should equal 90.

2z + 5 + 5z - 6 = 7z - 1

7z - 1 = 90

7z - 1 + 1 = 90 + 1

7z = 91

7z ÷ 7 = 91 ÷ 7

Z = 13

Hope that helped you and have a wonderful day!

HELP MATCHING EACH PROPORTION WITH ITS SOLUTION

Answers

no puedo ver el problema

Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of grades are between 79 and 84?

A. 100%

B. 25%

C. 50%

D. 75%​

Answers

Answer:

C

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: Sorry this is late

Find the excluded value of the function Y= - 10/6x-5. The excluded value is x =??

Answers

Answer:

The excluded value is x = 5/6

Step-by-step explanation:

Here, we want to calculate the excluded value

The excluded value is simply the value of x that will make the denominator of the fraction equals zero

We have this as;

6x -5 = 0

6x = 5

x = 5/6

HELPPP PLEASEEEEE


Which graph shows the solution for the system of equations?
y = 5x +4
y = 5x - 2

Answers

The second one...maybe, honestly just needed points wait for someone else to anwser

need to pass this class!

Answers

4w+5+33=90
4w=90-5-33
4w=52
w=13

Please help
Find the are of the trapezoid given the following

Answers

9514 1404 393

Answer:

  A = 8x³ +4x² -4x

Step-by-step explanation:

Put the given values into the area formula and simplify.

  [tex]A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}[/tex]

what does a cluster tell you about the data on a scatter plot​

Answers

Answer:

A cluster tells you the location of the greatest point in a set of data values.

Find the volume of the cylinder

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface Areas and Volumes.

We know that , Volume of the cylinder = πr^2h

here, r = 5 units and h = 6 units,

hence we substitute it,

==> Volume = 3.14*(5)^2*(6)

==> Volume = 3.14*25*6

==> Volume = 471 units^3

Hence the volume of cylinder is 471 cubic units.

The relative frequency that the traffic lights will show GREEN at road works is 0.7. Estimate how many times they would be RED over the next 40 journeys?

Answers

Answer:

28 reds are expected over the next 40 journeys

Step-by-step explanation:

Here, we want to get the number of reds in the next 40 journeys

From the question, we have that the relative frequency is 0.7

Thus, for the number of reds, we have to multiply the relative frequency by the number of journeys

We have this as;

40 * 0.7 = 28

after a teacher handed out m packs of notebooks with c notebooks in each pack

Answers

I need more information maybe a picture or something

Answer:

M/C

Step-by-step explanation:

So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c

What is the value of y in the parallelogram below?
5y"
654
O A. 110
O B. 60
O c. 13
D. 23

Answers

Answer:

D. 23

Step-by-step explanation:

5y = [360 - (65 x 2)] / 2

5y = [360 - 130] / 2

5y = 230 / 2

5y = 115

y = 23

Hope that helps!

The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of the other two sides.​

Answers

Answer:

it's going to be 3 and 6

Step-by-step explanation:

hope this one is right :)

How to covert this y=(x-4)(x-12) into standard form

Answers

Answer:

x^2-16x+48

Step-by-step explanation:

Use foil,

x^2-12x-4x+48

x^2-16x+48

Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?

Answers

Answer:

7/10

Step-by-step explana

7/10 was the answer

Answer:

7/10

Step-by-step explanation:

someone please help me

Answers

you didn’t put a picture or a question

Answer:

what do you need?

Step-by-step explanation:

is there like a photo or something?

identify the zeros of each function

Answers

(-5,0)

Step-by-step explanation:

Numbers that lie on the x and y axis

What is the solution to the equation below?


14x=12

Answers

Answer:

Step-by-step explanation:

hello :

14x=12

x=12/14

x=6/7

Can someone please check if it’s correct??

Answers

Answer:

these both are ture

Step-by-step explanation:

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