if f(x)=x/2-2 and g(x)=2x^2-2+x-3, find (f+g)(x)

Answers

Answer 1

Answer:

Add all the corresponding parts of each function. The degree of x determines which correspond.

2x^2 (degree 2)

x + x/2 (degree 1)

-3-2 (degree 0)

So you get

2x^2 + 3x/2 - 5

Step-by-step explanation:

I hope this helped you.

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Have a great day!!!!!!!!!!!


Related Questions

find the pattern what comes next 63,57,51,45

Answers

Answer:

counting by 6's

so it would be 69 next if your talking about the left side

or 39 if your talking abt the right side

Hope this helps!

Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75. A. If a cup of coffee costs $3.25, then use the diagram to write an equation to solve for c, the cost of the donut.

Answers

the cost of a donut is $2 and the equation that represents the given scenario will be:

3d + 6c = 21.75d = 3.25

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75.

Let " d" be the cost of a cup of coffee

and "c" be the cost of the donut

Since Each friend ordered a coffee and a donut

And there are 3 friends

Thus,

3(d + 2c) = 21.75

3d + 6c = 21.75

Also given,  a cup of coffee costs $3.25

d = 3.25

Substituting the values in equation 1

9. 75 + 6c = 21.75

6c = 12

c = 2

therefore, the cost of a donut is $2.

Learn more about Linear equations here:

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Select the correct answer from the drop-down menu. Find the trinomial. (22-6) and (22+4) are the factors of​

Answers

Answer:

im about to solvee

Step-by-step explanation:

The cubic polynomial below has a double root at r4 and one root at x = 6 and passes Through the point (2, 36) as shown. Algebraically determine its equation in factored form. Show how you arrived at your answer.
PLEASE HELP ITS BEEN HOURS

Answers

The graph in the question is missing.

Answer:

y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Step-by-step explanation:

The function is cubic

It has roots as -4, -4 , 6

this means the value of x = -4, -4 , 6 which makes the entire equation zero

so we have solutions as

x+4 = 0

x+4 = 0

x- 6 = 0

on forming a cubic equation using these

(x+4)(x+4)(x-6)

the equation passes through (2,36)

put x = 2

(2+4)(2+4)(2-6) = (6)*(6)*(-4)

which exceeds 36 so we product the equation with -1/4 to get 36

Final equation

y = [tex]\frac{-1}{4} (x+4)(x+4)(x-6)[/tex]

  y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

write the rational number as a decimal - 3/11​

Answers

Answer

0.27

Step-by-step explanation:

3 divided by 11

= 0.27

this is it I believe

Given that [tex](ax+4)(2x+b)=2x^2+5x-12[/tex], what are the values of a and b?

Answers

Answer:

a = 1, b = - 3

Step-by-step explanation:

Expand the factors on the left side, then compare the coefficients of like terms on both sides.

left side

(ax + 4)(2x + b) ← expand using FOIL

= 2ax² + abx +8x + 4b

= 2ax² + x(ab + 8) + 4b

Compare coefficients of like terms with those on right side.

coefficients of x² terms

2a = 2 ( divide both sides by 2 )

a = 1

comparing constant terms

4b = - 12 ( divide both sides by 4 )

b = - 3

If the new iPhone was on sale for $1200, what is the percent of change if the original prices was $1500.

Answers

Answer:

its a -20%changeor a general 20%change

is this relation a function

choose correct answer



marking brainlist

Answers

The correct answer is d because every input is supposed to have exactly one output

On a road trip you drove 280 miles in 4 hours. a) What is your speed in miles per hour? b) Use your equation to determine how far you will travel after 12 hours of driving.​

Answers

Answer:

a. 70 miles per hour

b. 840 miles

Step-by-step explanation:

280/4 = 70 miles per hour

70*12 = 840 miles

Answer:

a) 70 miles per hour

b)840 miles

Step-by-step explanation:

a) to find the speed, do distance/time

b) if you do 70 miles an hour, and you want to know 12 hours, just times 70x 12

Mrs. Clarke saved $60 by buying a dress at a 30% discount. The original price of the dress was

Answers

Answer:

$200

Step-by-step explanation:

Step one:

given

let the original price of the be x

discount = 30%

30 of x is $60

Step two:

Mathematically

30/100*x=60

0.3x=60

divide both sides by 0.3

x=60/0.3

x=200

Hence the original price of the dress is $200

Use the figure to find the measures of
<1 and <2

Answers

angle 1 = 134
angle 2 = 46

explanation:
angle 1 is a supplementary with 46
angle 2 is alternate interior with 46

Please help me out because I am a idiot ​

Answers

Answer:

With?

Step-by-step explanation:

Answer:

you didn't give what you need help with

The elevation at ground level is 0 feet. An elevator starts at 29 feet below ground
level. After traveling 70 seconds, the elevator is 52 feet above ground level. What
distance does the elevator travel in those 70 seconds?

Answers

Answer:

81

Step-by-step explanation:

I just added the 52 and 29 together.

Some one help ASAP PLEASE
Which expression represents 7 times the diffrence between 300 and 28?

Answers

Answer:

Answer

Step-by-step explanation:

300-28= g x 7

Can somebody tell me if I did the primes right?

Answers

Answer:

You did! well done

Step-by-step explanation:

What is a common tip percentage amount that people receive?

Answers

20% is a common tip

Answer:

15-20%

Step-by-step explanation:

can u make me brainiest thanks

Solve using ELIMINATION (with step by step explanation) Please

3x+y=-9
y=5x+7

Answers

Answer:

x = -2 (verified by algebra) ✅

Step-by-step explanation:

Since we are given the value of y, we can replace it with 5x + 7.

We now have: 3x + 5x + 7 = -9

We can now simplify by adding 3x and 5x to get 8x.

8x + 7 = -9

We can subtract 7

8x = -16

And now, we divide by 8

x = -2

We can check to make sure we are correct

3(-2) + 5 (-2) + 7 = -9

-6 + -10 + 7 = -9

-9 = -9 ✅

solve the literal equation 3xy+2xz for x I never learned this.help me plz!!!!​

Answers

x(3y + 2z)

Step-by-step explanation:

Help plz:))) I’ll mark u brainliest
ASAP!!!!!

Answers

Answer:

X= 24

la neta no se

Answer:

x = 8.3

Step-by-step explanation:

Triangles always equal to 180 degrees when taking about angles.

The equation would be:

30+(11x+5)+(-5+7x)= 180

add like variables:

30+5-5 = 30

11x+7x = 18x

put them into an equation:

18x +30= 180

cancel out:

18x+30=180

-30 -30

18x = 150

Divide:

18x = 150

÷ 18 ÷18

x = 8.3

This is an estimate as the answer in the calculator would be very long.

By the square property, if b is a real number , and a2=b, then a=

Answers

Answer:

[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]

Step-by-step explanation:

Given

b is a real number[tex]a^2=b[/tex]

as

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

so

[tex]a^2=6[/tex]

[tex]a=\sqrt{b},\:a=-\sqrt{b}[/tex]

Therefore,

[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]

Answer:

lal

Step-by-step explanation:

ap3x

Spidermans web is 100 feet long. He wants to shoot his web at a projection of 30 degrees. How tall is the building if he is trying to reach the top of the building? ​

Answers

Answer:

50 ft

Step-by-step explanation:

The concept to apply here is that of laws of sine of an angle where;

Sine of an angle theta = opposite length / hypotenuse

Sin 30° = height of building / length of the web

Sin 30° = h / 100

h = 100 sin 30° = 100 * 0.5 = 50 ft

PLEASE HELP!!! A plumber charges $14 per hour and a $20 flat fee for service. If Ashley's total comes to $111, how many hours did the plumber work? Write an equation to show how you would solve.

Answers

Answer:

The plumber worked for 6.5 hours.

Step-by-step explanation:

$111 - $20 = 91

91 / 14 = 6.5

Answer:

6.5 hours

Step-by-step explanation:

111 - 20 = 91, 91 divided by 14 = 6.5, he worked 6.5 hours. Hope this helps!

What was the name of the physical barrier in ancient India?

Answers

Answer: Some natural barriers are the Himalayas isolating the Indian subcontinent from the rest of Asia, the Grand Canyon, the Dead sea, and the Mississippi river.

Given: m∠A = m∠C = 90°
AB ║ DC
Prove: ∆ABD ≅ ∆CDB
40 points

Answers

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

What are alternate interior angles?

When two parallel lines are intersected by a transversal, alternate external angles are created.

Given that, m∠A = m∠C = 90° and AB║DC.

In triangles ΔABD and ΔCDB,

m∠A = m∠C = 90°

m∠ABD = m∠BDC (Alternate interior angles)

BD = DB (Common side)

Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

Learn more about the alternate interior angles:

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12a[tex]12a^{2} -20a+16a^{3}[/tex]

Answers

Answer:

Step-by-step explanation:

4a(3a-5+4a^2)

Ella is putting her savings into a retirement fund that will compound her $7000 semiannually at 7% interest. How much will her retirement fund be worth after 10 years? *

Answers

Answer:

8099

Step-by-step explanation:

The length of two sides of a triangle are 5in. And 17in. Which is a possible length for the third side?

Answers

Answer:

b= 2[tex]\sqrt{66}[/tex] or 16.248

Step-by-step explanation:

5^2 +b^2= 17^2

25 + b^2 = 289

-25              -25

b^2=264

b= 2[tex]\sqrt{66}[/tex] or 16.248

A nurse tells Andrew he is six feet tall. What is the equivalent of Andrew's
height in yards?
A. Three yards
B. Six yards
C. Twelve yards
D. Two yards

Answers

The answer is 2 yards

Answer:

Option D

Step-by-step explanation:

The answer is option D or "two yards." You can find the answer by knowing that a yard equals to three feet in length and because Andrew is six feet you can add three and three together giving you a total amount of two yards.

[tex]1y=3ft[/tex]

[tex]3+3=6[/tex]

[tex]1+1=2[/tex]

[tex]=2y[/tex]

Hope this helps.

Suppose a relief program dropped food and medicine to a disaster area with a paper parachute. If the parachute fell 250 meters, how many feet did the parachute fall?

Answers

Answer:

About 820 feet

8.21 exact

Step-by-step explanation:

Multiply length by 3.281

250m * 3.281 = 820.21ft

a woman buys a cooler for rs 800 and pays rs 60 as per transportation charges if she sells the cooler for rs 1200 find her profit percent ​

Answers

Rs 340
800+60=860
1200-860
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