The function F is defined by f(x) = 3x-5 over x+6 find f(5x)

Answers

Answer 1

Answer:

[tex]\frac{15x-5}{5x+6}[/tex]

Step-by-step explanation:

Given

f(x) = [tex]\frac{3x-5}{x+6}[/tex]

To evaluate f(5x) substitute x = 5x into f(x)

f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]


Related Questions

A googol is the number 1 followed by 100 zeros. Earth's mass is 5.972 × 10²⁴ kilograms. How many Earths are needed to have a total mass of 1 googol kilograms?

Answers

Answer:

[tex]1.6744809109 *10^{75}[/tex] Earths

Step-by-step explanation:

To find how many Earths are needed, take 1 googol divided by Earth's mass

[tex]\frac{\left1\times10^{100}\right}{5.972\times10^{24}}[/tex]       Divide

[tex]1.6744809109 *10^{75}[/tex] Earths are needed to have a total mass of 1 googol kilograms.

Based on the sample of 8th graders in the table, how many of the 350 students in 8th grade will like Pop/Rock as their favorite type of music?

Answers

Answer:

168

Step-by-step explanation:

Out of the 12 + 7 + 6 = 25 students sampled, 12/25 = 48% students liked Pop/Rock so 48% of 350 = 168 students is the answer.

Answer: 168 students

Step-by-step explanation:

12 + 7 + 6 = 25 so if we add all the numbers we get 25 then

we put it as 12/25 which is

48% students liked Pop/Rock

so then we do 48% of 350 or divide and get

168 students

Hope this helps :)

which of the following is the front view for the model (picture shown below)

Answers

Answer:

The second one.

Answer:

B

Step-by-step explanation:

B is the correct answer as the blocks are arranged in the same manner as B

Suppose a binomial trial has a probability of success of 0.4, and 75 trials are
performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.

Answers

Answer:

4.24

Step-by-step explanation:

Just took the quiz

Please help ASAP! EASY

Answers

Answer:

0.6 miles

Step-by-step explanation:

please help! ill mark you as brainleist if you get it correct!​

Answers

Answer:

7

Step-by-step explanation:

every o e move you make on x you make 7 on y. (made 2 moves in x and moved 14 on y) so if you moved 21 on y.... 21/7=3 so you move 3 on x so 4+3=7

Which graph shows the line y - 2 = 2(x + 2)?
A/B/
10
D

Answers

Step-by-step explanation:

if y was 0 then

0 - 2 = 2(x+2)

-2=2x+4

-6=2x

-3

if y was 1 then

1 - 2 = 2(x+2)

-1=2x+4

-5=2x

-2.5

now if y was 2 then

2 - 2 = 2(x+2)

0 = 2x + 4

-4=2x

-2

cos(3x) = 1

1. Using an appropriate inverse trigonometric expression, write an equation that defines the value of 3x

2. Solve this equation to find all possible values of the angle 3x

3. Use algebra to find all values of x between 0 and 2pi that satisfy this equation

Answers

Step-by-step explanation:

cos(3x) = 1

3x = 0 + 2kπ

x = 0 + 2kπ/3

x = 0, 2π/3, 4π/3, 2π

Skylar Sutherland earns a salary of $80,000 per year. How much is Skylar paid per month? *

Answers

Answer:

6,666$

Step-by-step explanation:

Because there are 12 months in a year u just have to divide 80,000 by 12.

Got chu :)

what is the answer to (2×+9)​

Answers

So the right answer is 18

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

11x

Step-by-step explanation:

1). Rewrite the problem:

2x (+9)

2. Multiply

9 x 2 = 18

3). answer: 18

hope this helped!

Find the first six terms of the sequence. a1 = 7, an = an-1 + 6

Answers

Answer:

7, 12, 17, 21, 26, 31

Step-by-step explanation:

The first term in the sequence is 7 we know this cause the first equation (a1 = 7) is telling us what the first term is. To find the next term we use the second equation (an = an - 1 + 6) we us the first term subtract 1 and then add 6 ( 7 - 1 = 6, 6 + 6 = 12) the second terms is 12. To find the rest of the terms we continue using the second equation but instead of with 7 this time we use 12 then the next time 17 then 21 then 26 so on and so forth.

Answer:

It's 7,13,19,25,31,37

Step-by-step explanation:

Trust me

Please help me with this its 1 problem should not be hard for most just that I'm tired and would need some help if somebody can help me!

Answers

Answer:

3) 9/16

Step-by-step explanation:

1/2*3/4*3/2=

3/8*3/2=

9/16

Hope this helped and brainliest plss

If you multiply 235 by 49, what will be the partial products?

Answers

Answer:

Step-by-step explanation:

(200+30+5)(40+9)

40*200 = 8000

40*30=   1200

40*5=200

9*200= 1800

9*30=270

9*5=45

8000+1200+200+1800+270+45 =11515

The multiplication of 235 and 49 is 11515 and partial products are 8000, 1800, 1200, 270, 200, and 45.

Given that,

Multiply the numbers 235 by 49.

We have to find,

What will the partial products?

According to the question,

To determine the partial products of the given numbers following all the steps given below.

Multiplication of the numbers; 235 by 49,

Step1; The given number can be written into small factors,

           [tex]= 235 \times 49\\\\= (200+35+5) \times (40+9)\\\\[/tex]

Step2; Multiply all the terms (200+35+5) by (40+9).

           [tex]= (200+35+5) \times (40+9)\\\\= 200(40+9) + 35(40+9) + 5 (40+ 9)[/tex]

Step3: Solve the equation by multiplication then add the terms,

           [tex]= 200(40+9) + 30(40+9) + 5 (40+ 9)\\\\ = 200 \times 40 + 200 \times 9 + 30 \times 40 +30 \times 9 + 5 \times 40 + 9 \times 5\\\\= 8000 + 1800 + 1200+ 270+ 200 + 45 \\\\= 11515[/tex]

Hence, The multiplication of 235 and 49 is 11515 and partial products are 8000, 1800, 1200, 270, 200, and 45.

To know more about Partial products click the link given below.

https://brainly.com/question/16505829

Find the value of each variable. Be sure to explain your answers.


a ⋅ 3 = - 30

-9 ⋅ b = 45

-84 ⋅ 12 = c

d ⋅ 88 = -88,000


a =

b =

c =

d =

Answers

Answer:

a = -10

b = -5

c = -1008

d =-1000

Step-by-step explanation:

a = -30/3

b = 45/-9

c = -84x12

d = -88000/88

Answer: A = -10. B = 54. C = -1008. D = -1000

Step-by-step explanation:

a * 3= - 30  You must divide 3 on both sides in order to get the a alone.

a * 3/3= - 30/3   And once you divide 3 from both sides you end up with

a= -10  And a equals negative 10

-9 * b = 45  You have to add 9 to both sides to get b alone.

-9 +9 *b= 45 +9 And you end up with with

b= 54   b equals 54

-84 * 12= c  Since the c is already alone all you have to do is solve the problem

-84 time 12 eqauls -1008, its a negative because it has a negative in the equation

-1008= c

d *88 = -88,000  You have to divide 88 from both sides to get the d alone.

d * 88/88 = -88,000/88. And you end up with

D = -1000  d equals negative 1000

The sum of mZAOB and mZBOC is 218º. Find the measure of ZBOC.

Answers

Answer: 131

Step-by-step explanation:

218 - 87 = 131

Answer:

C. 131°

Step-by-step explanation:

mZBOC - mZAOB = ZBOC

218 - 87 = 131

What will happen to the graph of the line y = 3/4x – 7 if you change 3/4 to −3/4?

Answers

Answer:

Below.

Step-by-step explanation:

The slope is given by the coefficient of x (= 3/4) .

If the slope changes to -3/4 the line will slope in the opposite direction.

If the slope is 3/4(positive)  it rises to the right and if it is -3/4 it will rise to the left, but will rise at the same rate.

The 2 lines will cross each other  when 3/4x - 7 = -3/4x - 7:

3/4x - 7 = -3/4x - 7

6/4 x = 0

x = 0

So they will cross at the point (0, -7).

i need help matching the vocab to the solutions

Answers

a-5

b-1

c-4

d-6

e-2

f-3

g-7

Please help asap, djdbdjbf

Answers

Answer:

x = 20

Step-by-step explanation:

so we aren't give the angle across from 70, but we are given the degree on the outside, so if we take that and subtract it from 180 we will get the degree inside the triangle which is 70. (this also appears to be an isosceles triangle so it would be 70 anyway, but we can do this just to make sure.) Then, since all of the angles in the triangle add up to 180, we can subtract 140 (both 70 degrees) from it and we are left with 40. Divide 40 by 2 and you will get 20 which is the measure for angle x! Hope this helps

the answer to this is 20

Quadrilateral ABCD is translated up and to the right and then rotated about point Q. Which congruency statement is correct?

Answers

Answer: B

Step-by-step explanation:

The congruency statement would be correct as ABCD ≅ ZYXW because the new triangle will be congruent to the original triangle when a triangle is translated.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given that Quadrilateral, ABCD is translated up and to the right and then rotated about point Q.

The following are the related points from the entire question:

Point A and point Z

Point B and point Y

Point C and point X

Point D and point W

This represents that:

Points A and Z are corresponding

Points B and Y are corresponding

Points C and X are corresponding

Points D and W are corresponding

Hence, the congruency statement would be correct as ABCD ≅ ZYXW because the new triangle will be congruent to the original triangle when a triangle is translated.

Learn more about the congruent triangles here:

brainly.com/question/4364353

#SPJ6

The question seems to be incomplete the correct question would be

Quadrilateral ABCD is translated up and to the right, and then

rotated about point Q. Which congruency statement is

correct?

ABCD = WXYZ

ABCD = ZYXW

ABCD WZYX

ABCD = ZWXY

In training for the zombie race, Harris runs 4 times back and forth across the pasture, then runs through the woods 3.75 miles. In all, Harris runs 15.7 miles. What is the distance from one side of the pasture to the other?

Answers

Answer:

2.9875 miles

Step-by-step explanation:

15.7 - 3.75 = 11.95. 11.95 / 4 = 2.9875 miles.

What is the additive inverse of the complex number -3 + 3/?
-8 - 3
-8 + 3;
O 8 - 31
O 8 + 3

Answers

Answer:

0 8 + 3

hope this is right if not im so sorry

Need help written responses???

Answers

Answer:

47.5% of students fall within heights of 100 cm to 120 cm

Step-by-step explanation:

We are given that heights of Grade 1 students are normally distributed

Mean = [tex]\mu = 100 cm[/tex]

Standard deviation = [tex]\sigma = 10 cm[/tex]

a)

Empirical rule

68% of data lies within the first standard deviation from the mean i.e[tex].(\mu-\sigma , \mu+\sigma)=(100-10,100+10)=(90,110)[/tex]

95% of all the data will fall within two standard deviations  i.e.[tex](\mu-2\sigma , \mu+2\sigma)=(100-2(10),100+2(10))=(80,120)[/tex]

99.7% of data lies within the three standard deviations i.e.[tex]( \mu - 3 \sigma , \mu +3 \sigma)=(100-3(10),100+3(10))=(70,130)[/tex]

b)Percentage of students fall within heights of 100 cm to 120 cm

Using the normal distribution curve

Percentage of students fall within heights of 100 cm to 120 cm = [tex]\frac{1}{2} \times 95\% = 47.5\%[/tex]

Hence 47.5% of students fall within heights of 100 cm to 120 cm

C)
What is the surface area of this design?
6 in.
76 in2
280 in2
4 in.
392 in2
10 in.
4 in.
360 in2
6 in.

Answers

Answer:=783

Step-by-step explanation:

Fill in the blank with a number to make the expression a perfect square.​

Answers

Answer:

v^2 + 14v + 49

Step-by-step explanation:

v^2 + 14v

Take the coefficent of v

14

Divide by 2

14/2 = 7

Square it

7^2 = 49

This is the number you add to make a perfect square

What is the area of this figure?

Answers

Answer:

11610

Step-by-step explanation:

First you do the top rectangle which the area for that is 144 which is 4 times 4 times 3 times 3.

Then you do the middle rectangle which the area is 441 which is 7 times 7 times 3 times 3.

Then you do the last rectangle which the area is 11025 which is 15 times 15 times 7 times 7.

Then lastly you add all three areas which is 144+441+11025=11610. So therefore, the answer is 11610.

distance from zero on a number line represents the of the number

A: slope

B: opposite

C: reciprocal

D: absolute value

Answers

Answer:

D

Step-by-step explanation:

Answer:

the absolute value of the number

Step-by-step explanation:

for example if the absolute value of 3 is 3 because the distance of 3 from zero on the number line is 3 places to the right.

The coordinates of which point are (–3, –6)? On a coordinate plane, point A is (negative 3, 6), point B is (negative 6, negative 3), point C is (negative 3, negative 6), and point D is (3, negative 6). point A point B point C point D

Answers

Answer:

Point c

Step-by-step explanation:

Answer:

The answer is Point C

Step-by-step explanation:

Which of these values would you most likely see on a U.S. speed limit sign?
O A. 200 miles / day
O B. 3,500 miles / second
C. 18 feet/ second
O D. 55 miles/hour​

Answers

D would be your answer

D. The US speed limit signs use Miles Per Hour

What MUST be true when adding and subtracting numbers in scientific notation?

Answers

This might help you with your question 2 numbers inside of scientific notation have to be manipulated in order for their own foundations to have the same exact exponent

To be added or subtracted, two numbers in scientific notation must be manipulated so that their bases have the same exponent--this will ensure that corresponding digits in their coefficients have the same place value.

PLEASE HELP ME! Sketch a triangle and label correctly. Work must be shown for this problem. Round answers to the nearest hundredth (2 decimal places).

Answers

Answer:

We can use the trigonmetry to solve for this. So first, we need to get that cos(69) = x/16. So then we multiply by 16 and get 16cos(69). Therefore if we use that as an answer approx it gives 5.734.

Answer: 5.734 approx.

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