Given the functions below, find f(x) + g(x)
f(x) = 3x - 1
g(x) = x2 + 4

Answers

Answer 1

Answer:

x^2+3x+3

Step-by-step explanation:

f(x) = 3x - 1

g(x) = x^2 + 4

f(x) + g(x) = 3x-1+ x^2 +4

                 Combine like terms

                   = x^2+3x+3


Related Questions

Are these geometric shapes ASA, SSS, SAS or None?

I WILL GIVE BRAINLIEST TO BEST ANSWER!
refer to image.

Answers

Answer:

4)ASA

6) ASA

2) SSS

8) SAS

Step-by-step explanation:

numbers 4 and 6 are ASA because we have 2 congruent angles and one congruent side. Also, they r in the pattern angle, side, angle. Which makes it ASA

number 2 is SSS because all 3 sides are congruent

number 8 is SAS because because there are 2 congruent sides and one congruent angle. They are seen in the pattern side, angle, side. Which makes it SAS

hope that helps and I apologize about earlier

have a wonderful day!

Answer:

2) None, 4) ASA, 6) ASA, 8) ASA

Step-by-step explanation:

#2

We have two parallel sides.

This gives us two pairs of alternate interior angles and one pair of vertical angles.

In total 3 congruent angles. This is not enough to state congruence.

None

#4

We have two pairs of congruent angles and an included common side.

This is good to state the triangles are congruent by ASA

#6

Similarly to above question, we have two pairs of congruent angles and an included common side.

This is good to state the triangles are congruent by ASA

#8

We have one pair of congruent sides and the parallel sides gives us two pairs of alternate interior angles and a pair of vertical angles.

We can state the triangles are congruent by ASA as the congruent side is included.

Carol has some dimes and quarters. If she has 31 coins worth a total of $4.30, how many of each type of coin does she have?

Answers

Answer:

23 Dimes and 8 Quarter.

Step-by-step explanation:

Important info:

31 Coins worth a total of $4.30

Note:

Dimes = .10

Quarters = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many of each type of coin does she have?

Solution:

Lets get rid of the .30 cent in $4.30 so

.30 = 3 Dimes

Now $4.00,

4.00-1.00 of quarter

=

3.00 and 4 quarter..

Right now we have 3 Dimes and 4 Quarter = $1.30.

And that 7 Coins worth of $1.30.

3.00-2.00= 1.00 and 20 Dimes so now we have

23 Dimes and 4 Quarter.

And that add up to 27.

1.00-1.00 of Quarter = 4 Quarter.

so 31 worth a total of $4.30.

So that's 23 Dimes and 8 Quarter.

Check Work:

23 Dimes = $2.30 and 8 Quarter = $2.00

$2.30 + $2.00 = 4.30

Hence, The Correct Answer is 23 Dimes and 8 Quarter.

~[ RevyBreeze }~

Consider this problem: 2+3(3)+5(2+3)+2(-5)
a.
How many terms are in the expression?

Answers

Answer:

[tex]5[/tex]

....,,,✨✨✨✨✨✨✨

y - 12 = 89
y - 12 +____
=89 + 12
y=?

Answers

the answer is y=101 ! :)

Answer:101

Step-by-step explanation:

If t=100, find 2t + 1

Answers

201. Because you 2*100+1= 200+1= 201

What si 19 3/4 + 19 3/8

Answers

Answer:

313 over 8=39 and 1 over 8 39 1 /8 =39.125

Step-by-step explanation:

please help asap!!!!

Answers

Answer:

justin biberis black

Step-by-step explanation:

Ryan and Taylor are both saving money to buy new video game equipment. Ryan's savings plan can be modeled by the function s= 15m + 50 where m represents the number of months since Ryan started his plan, and s represents the amount of money saved in dollars. The table shown represents Taylor's savings plan.

Taylor's Savings Plan --- In the file (Picture).

a. Ryans rate of change is_________Taylor's rate of change.
b. Ryans starting balance is _________Taylor's starting balance.

Answers

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Recall:

A linear function is modelled by the equation, y = mx + b, where m is the rate of change and b is the initial value (starting value).Rate of change = change in y/change in x

Ryan's Savings Plan Function:

s = 15m + 50

Thus, the starting value (starting balance) modelled by this function is $50

The slope/rate of change is $15 per month

Taylor's Savings Plan:

Given the table, the starting value will be the amount saved (initial value) at 0 number of months.

Therefore, Taylor's starting balance is: $25

Using (0, 25) and (1, 45) find the rate of change:

Rate of change = (45 - 25)/(1-0) = 20/1 = $20

In summary:

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Learn more about linear function on:

https://brainly.com/question/15602982

I need help with this question can someone plss help me!!

Answers

Answer:

Step-by-step explanation:

Do the ratios 18 7 and 2 1 form a proportion?

Answers

Hi!

There are a few ways we can do this. The first one is this:

The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]

To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.

Therefore they are not proportions.

The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:

[tex]\frac{18}{7}[/tex]  [tex]\frac{2}{1}[/tex]

To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.

Therefore they are not proportions.

Hope this helps! Have a great day! Let me know if you need any other help :D

While moving up on the rope-way, I noticed that the seat place in the opposite direction was numbered as 95. Behind it was number 0, then 1, 2 and so on. My seat place was numbered as 66. What number should I meet when I am in the middle of my one-way route?

Answers

The seat in the middle of the one-way route is 34

The seats are given as:

[tex]First= 0[/tex] --- the first seat behind the seat number 95

[tex]Last= 66[/tex] --- my seat

The seat number half-way would be:

[tex]Half = \frac{Last - First}{2} + 1[/tex]

This gives

[tex]Half = \frac{66- 0}{2} + 1[/tex]

Subtract 0 from 66

[tex]Half = \frac{66}{2} + 1[/tex]

Divide 66 by 2

[tex]Half = 33 + 1[/tex]

Add 33 and 1

[tex]Half = 34[/tex]

Hence, the seat in the middle of the one-way route is 34

Read more about median at:

https://brainly.com/question/8892632

Simplify.
(7⁴)²

(EXPONENT FORM ONLY)

Answers

The answer is 7^8.
To raise a power to another power, you multiply the exponents. 4x2=8. 7^8

write 200% as a decimal​

Answers

Answer:

Percent Decimal

80% 0.8

90% 0.9

100% 1

200% 2

Answer:

2.00

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

Enter <, > or = to make the statement true. 17.001 [?] 17.0001​

Answers

Answer:

17.001>17.0001

Answer:

17.001>17.0001

Step-by-step explanation:

17.001 is greater than 17.0001

2/3 (4x + 3) = 1/4 (3x - 15)

Answers

Answer:

x=-3

Step-by-step explanation:

Answer

X=3

I used math calculator and it gave me x = 3 :)

please help ill give brianliest to whoever gets the question right :)

Answers

Answer:

72

Step-by-step explanation:

I this problem I'm sure you're supposed to multiply: 24 x 3 = 72

hopefully this helped :)

Solve for x. Round your answer to the nearest tenth if necessary.
70°
6
X

Answers

Answer:

Tan 70 = opp/adj

Tan 70 = x/6

multiply by 6 on both sides

16.5 = x

[tex]\sf -8(6x+3)[/tex]

Answers

Answer:

[tex] - 8(6x + 3) = - 8 \times 6x + - 8 \times 3 \\ = - 48x - 24[/tex]

f(x) = -4(x+2) what is f(4)

Answers

Answer:

-24

Step-by-step explanation:

f(4)= -4(x+2)

f(4)= -4(6)

f(4)= -24

Answer:

F(x)=-4(x+2)

0=-4-8

4x=-8

X=-2

So,-2×2

-4

Step-by-step explanation:

Have a great day!

compare. 2 1/4 and 3 /14

Answers

Answer:

[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]

[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]

[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]

i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]

but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number

and [tex]\frac{3}{14}[/tex] is a proper fraction

Can i get some help :

Answers

Answer:

the second

Step-by-step explanation:

Answer:

0.9 + n = 5.2

Step-by-step explanation:

I neeeed the answer I’m mad confused

Answers

Answer:

KNOW PAIN FEEL PAIN ACCEPT PAIN

The selling price is $9,500

work:
50,000 • 0.19 = 9,500

The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection

Answers

Answer:

15

Step-by-step explanation:

Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.

Answer 1 question. Thanks

Answers

the slope of the line is -3 :))

an airplane on autopilot took 5 hours to travel 3,475 kilometers, what is the unit rate?

Answers

Km/h kilometre per hour

My question is in the attachment.

Answers

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

Answer:

The son is 5 and the father is 25.

Step-by-step explanation:

We can do this using  Algebra.

Let the son be x years old.

Then the father's age is x + 20 years.

After 5 years the father's age is x + 25 and the son is x + 5 years.

So we can write the equation:

x + 25 = 3(x + 5)

x + 25 = 3x + 15

25 - 15 = 3x - x

10 = 2x

x = 5.

So the father's present age is 20 + 5 = 25 and the son is 5 years old.

Help me pleaseeee with this

Answers

Ok done. Thank to me :>

67-7x(12-3)
Evaluate

Answers

Answer:

67-63x

Step-by-step explanation:

I need help please!!!

Answers

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

Brainliest would be appreciated! :-)

Another way to find the AOS, is by looking at the f(x) function, the last number will always be the AOS.

An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 144 standents​?

Answers

Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school

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