What is the solution to the system f(x) = 3x + 5 and g(x) = 3x + 12?

Answers

Answer 1

Answer:

The solution of the system of equation is x = 3.5

Step-by-step explanation:

The given system of equation is;

f(x) = 3·x + 5 and g(x) = x + 12

To find the common solution, we equate the values of both functions as follows;

3·x + 5 = x + 12

We collect like terms;

3·x - x = 12 - 5

2·x = 7

x = 7/2 = 3.5

x = 3.5

Therefore, the solution of the system of equation is x = 3.5


Related Questions

I need to find the surface area

Answers

Answer:

45

Step-by-step explanation:

3*3=9*5=45  

your welcome

A group of friends went to the movies together. They paid a total of $49.50 for the movie tickets and $32.40 for snacks to share. If each person paid $13.65, how many people were in the group?

Answers

There were 6 people in the group

Need help ASAP!
15 points!!

Answers

Answer:

$3.60, $21.60

Step-by-step explanation:

if 3/4 of 1grape = $2.70

Then

1grape = 2.70 ×4/3

1grape = $3.60

Therefore

6grapes = 3.60 × 6

= $21.60


5. Seven times a number is equal to 12 more than 3 times the number. Find the number.

Answers

Answer:

3

Step-by-step explanation:

3 times 3 is 9 plus 12 is 21....3 times 7 is 21.

Hank scored 56% in math and 84% in science. What are three ratios of his science to math scores?

Answers

Answer:

56/84=2/3

2:3

3x-x+2=4

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Subtract. Write your answer in simplest form. 3 11/12 - 1 4/12=​

Answers

Answer:

Chucky but right now I'm in class so I actually get back to you with this but if I were you what you would do is first you would add your two whole numbers and then you add you top number and then when you add your two whole number you put for and the box that is much beside can you put on then after that you put five in the top box and 12 on the bottom box if I were you that's not with you but since you're subtracting you keep your denominator you subtract 3 from 1 which is 2 and then you subtract 11 from 4 which is 7 and then you would get to and 2 and 7/12 that's your answer

Answer:

2 7/12

Step-by-step explanation:

Is this a function and why? PLEASE FAST !! YOU GET BRAINLEST

Answers

Answer:Yes.

Step-by-step explanation:Because all X functions are paired with each Y axis and it isn't combined.

Answer: Not a function

Step-by-step explanation: A capacity is a connection for which each incentive from the set the primary parts of the arranged sets is related with precisely one incentive from the arrangement of second segments of the arranged pair.

help me with this, please :(

Answers

Answer:

the answer is -7

Step-by-step explanation:

What is the diameter of 4cm

Answers

Answer:

Explanation: the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.

Step-by-step explanation: Hope this helps

btw can i have brainliest?

32.8519 rounded to the nearest tenth

Answers

Answer:

32.9

next time try math - way it helps

Step-by-step explanation:

I need help solving this problem ASAP

Answers

Answer:

I don't know the answer to this but if you find someone that can answer this and explain please tell me because I'm struggling a lot with this topic as well

measure the angle of 10x+10

Answers

Answer:

We know that opposite angle are congruent.

[tex]10x + 10 = 11x + 3 \\ \\ 10x - 11x = - 7 \\ - x = - 7 \\ x = 7[/tex]

So, We found out that x = 7,

So, Putting x = 7 in 10x+10

[tex]10 \times 7 + 10 \\ \\ = 70 + 10 \\ \\ = 80[/tex]

So, The measure of angle 10x+10 is 80.

Solve r9+1= 0 please help idk what it means or anything really

Answers

Answer:

r = -1

Step-by-step explanation:

This is the answer because:

1) You can take the root of both sides and solve

2) You can also isolate the variable and solve for it

1. r9 + 1 = 0, divide 9 and 0 first. 9 x 0 = 0

2. r + 1 = 0, subtract 0 and 1. 0 - 1 = -1

Hope this helps!

Nicole is making carrot bread. She needs 5 cups of carrots for every 2 cups of sugar. What is the ratio of cups of sugar to cups of carrots that Nicole will need? Write the ratio in three different ways.

Answers

Answer:

Step-by-step explanation:

Step one:

we are told that it takes 5 cups of carrots to every 2 cups of sugar.

What is a ratio?

The ratio is simply a comparison of two quantities, in relation to one another

Step two:

The various ways to represent the ratios are

1. in word form

it takes 5 cups of carrot and 2 cups of sugar

or 5 is to 2

2. in ratio form it is

  5:2 cups of carrot to cups of sugars

3. In decimal form

5/2 cups of carrot to cups of sugar

What is the ratio of dogs to cats?


What is the ratio of cats to dogs?

Answers

Answer:

1-5 for the dogs to cats

5-1 for cats to dogs

Answer:

The Ratio of dogs to cats is 1:5

The Ratio of cats to dogs is 5:1

Step-by-step explanation:

There is 1 dog and 5 cats. Therefore it is 1 (dog) to five (cats)

There are 5 cats and 1 dog. It is 5 (cats) to 1 (dog)

The equation of line j is
y= -6/7+7. Line k is perpendicular to j. What is the slope of line K

Answers

Answer:

7/6

Step-by-step explanation:

in order for it to perpendicular then its need to be the negative reciprocal of it, so you flip the sign making it positive and do the opposite of the slope like for ex if it was 1/2 it would have been 2

Brainliest
As of July 1, 2014, the population of India was about 1,267,000,000.

How can you write this number in scientific notation?

1. Move the decimal point to the right of the first digit. What is the first factor?

2. Count the number of digits after the decimal point. How many places did you move the decimal point?

Answers

Answer:

1. 1.267

2. 3 places

3. To the right

4. I think 10 to the first power

5. 1.267 x 10 to the third power

Step-by-step explanation:

Hurry pls it’s very confusing

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

choose two ordered pairs from the data and do y2 - y1 / x2 - x1

hope i helped <3

-2x – 6y = -24
X-8y = -10

Answers

Answer:

{x,y}={31,4}

Step-by-step explanation:

x-8y = -1  x-6y = 7

Answer:

first we find the value of 'y' so

x-8y=-10+8y

x=-10+8y

-2(-10+8y)-6y=-24

20-16y-6y=-24

20-22y=-24-20

-22y=-44

y=2

then also we can find the value of 'x'

-2x-6y=-24

2x-6(2)=-24

2x-12= -24

2x= -24+12

x= -12

If x = 10 find the value of
2x + 9​

Answers

29 because 2x10+9 :D

Answer:

29

Step-by-step explanation:

okay so we are going to substitute 10 where the x variable is in this problem

2x + 9​

like this:

2(10) + 9​

and then we do order of operations by multiplying 2 by 10 then adding 9:

2x + 9 =

2(10) + 9 =

20 + 9 = ​​

29

For what purposes do students collect data? Check all that apply. to check a statement’s credibility to answer a question to support an argument to evaluate a statement to examine a question’s reliability

Answers

Answer: a: to check a statement’s credibility

b: to answer a question

c: to support an argument

d: to evaluate a statement

Step-by-step explanation:

Edg2020

Answer:

A B C D

Step-by-step explanation:

- 2 and y-intercept is (0, -8)

Answers

Answer:

-2 =7;8

Step-by-step explanation:

Booy

123 degrees
3x degrees

Answers

Answer:

Step-by-step explanationthe answer is 19 because your trying to find 180 and your timing that 3 by what ever gets you the extra of 180 so you do 19 ×3 equaling 57 and then you add in that 123 and it all equals 180

The value of x is 19°.

What are linear pairs?

A linear pair of angles are formed when two lines intersect each other at a single point.

Given a pair of angles which are on a straight line and so, making a linear pair,

123°+3x=180°

3x = 57°

x = 19°

Hence, x = 19°

For more references on linear pairs, click;

https://brainly.com/question/17525542

#SPJ5

find the pay earned: 33 hours at 5:15 per hour

Answers

Answer:

169.95$

Step-by-step explanation:

33×5.15 = 169.95

169.95 dollars is the total he earned

Which diagram shows lines that must be parallel lines cut by a transversal?

2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 91 degrees. At the intersection with the second line, the bottom right angle is 91 degrees.
2 horizontal lines are intersected by another line. At the intersection with the first line, uppercase right angle is 91 degrees and the bottom left angle is 91 degrees.
2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 89 degrees and the bottom right angle is 91 degrees.
2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.

Answers

9514 1404 393

Answer:

  2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.

Step-by-step explanation:

The last of the statements describes consecutive (same-side) interior angles at the transversal that are supplementary. That condition exists when the lines are parallel.

D incase u dont feel like reading the long answer above lol

Write the sentence as an equation.
q less than 227 equals 283
Type a slash ( ) if you want to use a division sign.
Submit

Answers

what they said was correct!!
confirming

Help me please with math

Answers

Answer:

The average rate will be:  0.7 inches/hour

Hence, Option (4) is correct.

Step-by-step explanation:

As the average rate = change in y-values/change in x values

                                 = Δy/Δx

From the table, it is clear that over the time interval 't=2' to 't=7', the values

snow depth 'd' inches change from d=1.5 to d=5.

Therefore,

Average rate = Δy/Δx

                      = (5-1.5) / (7-2)

                      = 3.5/5

                      = 0.7 inches/hour

Therefore, the average rate will be:  0.7 inches/hour

Hence, Option (4) is correct.

Can you guys help i’m kinda struggling

Answers

Answer:

yes they are congruent by sas

Step-by-step explanation:

Side angel side shows that's the 2 given segments bisect one another. The two angles are on opposite sides as well making it sas.

Estimate each product 26.5x12

Answers

Answer:

318

Step-by-step explanation:

Answer:

318 I did the question......

3*2x-1 = 1/27 Find x​

Answers

Answer: x = 2

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases.

3

2

x

1

=

3

3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2

x

1

=

3

Solve for

x

.

x

=

2

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