PLEASE HELP!!
if y(x) = 5x-2 and g(x) = 2x + 1, find (f + g)(x).

PLEASE HELP!!if Y(x) = 5x-2 And G(x) = 2x + 1, Find (f + G)(x).

Answers

Answer 1

Answer:

(f + g)(x) = 7x - 1

Step-by-step explanation:

Given :  f(x) = 5x – 2 and g(x) = 2x + 1

We have to find  (f + g)(x)

Consider  (f + g)(x) = f(x) + g(x)

Also, given  f(x) = 5x – 2 and g(x) = 2x + 1

Substitute, we have,

f(x) + g(x) = 5x - 2 + 2x + 1

LIKE TERMS are terms having same variable with same degree.

Simplify by adding like terms,  we have,

f(x) + g(x) = 5x + 2x - 2  + 1

f(x) + g(x) = 7x  - 1

Thus, (f + g)(x) = 7x - 1


Related Questions

what does 2x+2=10 equal to?

Answers

Answer:

5x =10

Step-by-step explanation:

Find the rate of change of the function by using two points from the table.



x y
1 15
2 11
3 7
4 3

Answers

1/-4 is the roc for this function

The rate of change of the function is -4.

What is the slope of a line?

The slope of a line indicates the direction and the steepness of the line. The formula for the slope of a line passing through the points (x₁,y₁) and (x₂, y₂) is m = (y₂-y₁)/(x₂-x₁).

Consider the two points (1,15) and (2,11).

The rate of change of the function is nothing but the slope of the line passing through the points (1,15) and (2,11) which is:

m = (11 - 15)/(2 -1)

m = -4

Hence, the rate of change of the function is -4.

To learn more about slopes, click here:

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Fiona is typing an essay on her computer. She types 5/8 of a page in 1/2 hour. At this rate, how many pages can Fiona type in 1 hour? Enter the answer as an improper fraction (fraction greater than one).

Answers

Answer:

5/4 page

Step-by-step explanation:

5/8 * 2 = 10/8 = 5/4

-9.b = 45
b =
What is the answer I need to know the answe

Answers

Answer:

b=-5

Step-by-step explanation:

Divide by -9 to eliminate the -9 on -9b

(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)

-9b/-9=45/-9

b=-5

solve question >> ( - 3x)^2

Answers

Answer:

(-3x)^2 = (-3)^2(x^2)

=9x^2

Let me know if this helps!

how would you write this number in numeric form eight hundred fifty-three hundredths?

Answers

0.853 there u go thank me later .

1. Write the equation of the line passing through the point (-2, 2) that is
parallel to y=-x-5 in slope-intercept form.

Answers

creo que quieres decir la suma

si es la suma eso da 2.8

Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?

Answers

Answer:360

Step-by-step explanation:g-g5

The rate of interest will be 0.35.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

Learn more about compound interest here:

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The Hendricksons are in charge of bringing treats for 50 football players. They brought 3 coolers of popsicles and 2 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat. Which statement best predicts how many players will get a popsicle?

Answers

3/5 of the players (30 players) will get a popsicle.

There are 5 coolers in total. There are 3 coolers of popsicles, which means 3/5 of the coolers are popsicle coolers.

To find out how many football players will get a popsicle, multiply the amount of football players (50) by the chance they will pick a popsicle cooler (3/5).

50 x 3/5 = 30 football players

Answer:

There will be close to 30 football players but probably not exactly 30 football players who get a popsicle.

Step-by-step explanation:

Its correct on Khan Academy

What is the exponent form? 6 x 6 x 6

A. 6 cubed

B. 6 to the power of 2

C. 6 squared

D. 6 x 3

Answers

Answer:

C.6 squared

Step-by-step explanation:

It would be A because 6x6x6=216 and 6^3 (cubed) is also 216

50-8-30+28¿como lo puedo resolver?​

Answers

Answer:

40

~

Puedes resolverlo simplificando la ecuación.

~

You can solve it by simplifying the equation.

~

Answer:

50 - 8 - 30 + 28 =

(50 + 28) - (8 + 30) =

78 - 38 =

40

Its much easier to solve 78 - 38 than 50 - 8 - 30 + 28, which is why you simplify the question before calkylating it.

sorry i dont know Spanish...

but hope i could help :D

Find the value of x in the parallelogram?

Answers

the answer would be C. x= 11

Answer:

A (29)

Step-by-step explanation:

If it's a parallelogram, then opposite sides are parallel.  This means that

20=x-9.  Add 9 to both sides and the you get x=29.  

1,275÷588 rounded pls i need some help​

Answers

1275 divided by 588= 2.168367346938776
1dp=2.2
2dp=2.7
3dp=2.8

Can somebody plz help answer these questions correclty thanks!

WILL MARK BRAINLIEST WHOEVER CAN ANSWER FIRST :DDD

Answers

Answer:6. 7 8.22 10.24 7.12 9.22 11.9

Step-by-step explanation:

Answer:

6y=7

7x=12

8m= 22

9 n= 22

10 x= 24

11 y=9

5.
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 0.195 meter tall?


A. h(d) = 12d + 0.5; 1.3 days


B. h(d) = 0.5d +12; 15 days


C. h(d) = 0.5d; 39 days

D. h(d) = d/0.5 = 12; 4 days

Answers

Answer:

B. h(d) = 0.5d +12; 15 days

Step-by-step explanation:

here they want to write an equation to describe the growth of the plant.  set y = height of the plant (in cm).  set x = days (since planting).  the plant was planted on day 0 (x=0).  We know that the plant was 12 cm tall when it was first planted, so we know that y(0) = 12 cm.  y(0) just means the value of the equation y when x = 0, or y(x=0), or just y(0).  Every day the plant grows .5 cm so we know the value of y will increase at .5cm for every x days, or .5x.  Add the initial value of y (where x=0) and you have the equation y = 12 + .5x  (in cm).  usually we write equations in meters and not cm, so you can change it to y = .12 +.005x (in meters).  

now just set your equation equal to .185 meters and solve for x

.185 = .12 + .005x

.065 = .005x

x = 13 days

Answer

(a) Find out the  a rule to describe the function.

To prove

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5

0.5d = 7.5

d = 15 days

Therefore 15 days will the zucchini plant be 0.195 meter tall .

a) 12 + 0.5d               d=day

b) 0.195/0.5=0.39d

Answer:

15 days will the zucchini plant be 0.195 meter tall .

Step-by-step explanation:

(a) Find out the  a rule to describe the function.

To prove  

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.  

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove  

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5  

0.5d = 7.5

d = \frac{7.5}{0.5}

d = 15 days  

Therefore 15 days will the zucchini plant be 0.195 meter tall .

Map Proportionality: You have a map where Indy and Fort Wayne are 19 centimeter apart. Kokomo and Indy are 9.5 cm apart on the map. If you know that Indy and Fort Wayne are actually 120 miles apart, how far apart would Indy and Kokomo be in real life? Express your answer rounded to the nearest tenth of

Answers

Answer: 60 miles

Step-by-step explanation:

On a map, Indy and Fort Wayne are 19 centimeter apart while Kokomo and Indy are 9.5 cm apart on the map.

In real life, Indy and Fort Wayne are actually 120 miles apart, the distance between Indy and Kokomo in real life would then be:

= 9.5 × 120/19

= 120/2

= 60 miles

Indy and Kokomo are 60 miles apart in real life.

Solve x + 10 = 3x + 4 *

Answers

Answer:

x= 3 hope it helps thanks

It’s 3 if you want me to go in depth tell me

Please tell me how to do problems like 4.6x8.3(I need an explination) WILL GIVE BRAINLIEST NO TROLLING OR BAN

Answers

Answer:

you just multiply normaly and the decimals get multiplied too

Step-by-step explanation:

4.6*8.3=38.18 4*8= 38 and 6*3= 18 so the answer is 38.18

What is 7x + 10 = 7x + 10

Answers

Answer:

Infinite solitutions

Step-by-step explanation:

The expressions are the exact same, so there are infinite solutions.

Answer:

infinite solutions

Step-by-step explanation:

If x2 - 6x - 16, what are the x-intercepts?​

Answers

If that’s meant to be x^2 - 6x - 16
Then factorise to (x+2)(x-8)
So x intercepts are -2 and 8

Answer:

(-2, 0) and (8, 0)

Step-by-step explanation:

x2 - 6x - 16 = 0

(x - 8)(x + 2) = 0

x = -2, 8.

HELPP NOWW!! 20 pointssssss

Answers

Answer:

54 square millimeters

Step-by-step explanation:

Answer:

Is a surface area a volume? Because if so its 27. And if its just the flat surface then its 9.

A store offers a 30% discount on a clarinet that was marked up by 5% form the original retail price for $405.the sales tax is 9%. What does the clarinet cost?.

Answers

Answer:

$324.46

Step-by-step explanation:

$405 × 0.05= $20.25 is how much it is marked up if the original price is $405.

$405 +$ 20.25 = $425.25 is the new total of the clarinet

Now 30 % of $425.25... $425.25×0.30= $127.58 is what 30% is.

You have to subtract th $127.58 from $425.25 to get the discounted price.

$425.25 - $127.58 = $297.67

Next you have to calculate for the 9% and add it to the discounted price.

$297.67 × .09 = $26.79

$297.67 + $26.79= $324.46

$324.46 is the cost of the clarinet.

Find the length of BC

Answers

Answer:

It would be 123

Step-by-step explanation:

PLEASE ACTUALLY ANSWER!!

Answers

Answer:

a) C

b) 4.5[tex]cm^{2}[/tex]

Step-by-step explanation:

Use the formula:

Lh([tex]\frac{1}{2}[/tex])

Apply this to triangle A

2(3)÷2

Solve.

3=area of Triangle A

Apply this to triangle B

2(3)÷2

Solve.

3=area of Triangle B

Apply this to Triangle C

3(3)÷2

Solve

4.5= area of Triangle C

As you can see, Triangle C has the greatest area.

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression. **SHOW THE PROPERTY** 1. 2/5(s + 20) and

2. –6(12 – 8)

Answers

Answer:

1. 2/5s + 8

2. -24

Step-by-step explanation:

1.

2/5(s + 20)

(2/5)(s) + (2/5)(20)

2/5s + 8

2.

-6(12 - 8)

(-6)(12) - (-6)(-8)

-72 + 48

-24

The price of gas increases from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?

Answers

Answer:

5% increaseeee

What's 12/15 closest to 0,1/2 or 1

Answers

Answer:

1

Step-by-step explanation:

12/15 can be simplified as 4/5, 4/5 can be rewritten as 8/10, or 80%. 0 is of course 0%, 1/2 is 50%, and 1 is 100%. 80% is closest to 100%, so 12/15 is closest to 1.

Carol opened a savings account and deposited 2,650. The account earned 4% interest compounded annually how much money will carol have in her account after 3 years

Answers

Answer:

$2968

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 2650 × 0.04 × 3 = 318

I = $ 318.00

The simple interest accumulated

on a principal of $ 2,650.00

at a rate of 4% per year

for 3 years is $ 318.00.

Solve the real-world situation by using the substitution method.
The number of DVDs sold at a store in a month was 923 and the number of DVDs sold decreased by 12
per month. The number of Blu-ray Discs sold in the same store in the same month was 505 and the
number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t
represent the time in months.
The system of equations
{d=923-12t
{d=505+26t
can be used to represent this situation.
If this trend continues, how many months will the number of DVDs sold equal the number of Blu-ray discs
sold? How many of each is sold in that month?
There will be ____ DVDs and Blu-Ray discs sold per month in ____ months.

Answers

Answer:

In 11 months, the number of DVDs sold and Blue-Ray discs sold will be same, 791 of each.

Step-by-step explanation:

In the equation d = 923-12t, substitute 505+26t (from the second equation) for 'd'. We get

505 + 26t = 923 - 12t

-505 + 12t   -505 + 12t

38t     =       418

t=11

d = 923-12(11) = 791

d = 505+26(11) = 791

After 11 months, selling 791 of each.

Hope this helps.

Answer:

791

Step-by-step explanation:

I just need help on which option

Answers

        The answer is option two    

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