Given the following functions, find each: f(x)=x2+5x−14 g(x)=x−2 (f+g)(x)= (f−g)(x)=

Answers

Answer 1

Answer:

(f+g)(x) = x²+5x-14 + (x-2)

           = x²+5x-14+x-2 = x²+6x-16

(f-g)(x) = x²+5x-14 - (x-2)

          = x²+5x-14 - x+2

          = x²+5x-14-x+2 = x²+4x-12


Related Questions

Sean has some candy bars that he wants to give away. He is going to give each person \dfrac18 8 1 ​ start fraction, 1, divided by, 8, end fraction of a bar, and he has 2\dfrac342 4 3 ​ 2, start fraction, 3, divided by, 4, end fraction bars to give away. How many people will get candy?

Answers

Answer:

22 people

Step-by-step explanation:

Sean has 2 3/4 candy bars. That is 11/4 candy bars.

He wants to give out 1/8 candy bars.

The number of people that will get candy is:

[tex]\frac{11}{4} / \frac{1}{8}\\ \\= \frac{\frac{11}{4} }{\frac{1}{8}} \\\\\frac{11}{4} * \frac{8}{1} \\\\22[/tex]

22 people can get candy.

Answer:

22 people will get candy

Step-by-step explanation:

it's correct because I got it from khan academy

what is 40.8 ÷ 6? Please explain how you got your answer​

Answers

Answer:

6.8

How many 6's can go into 40?

6 + 6 + 6 + 6 + 6 + 6 = 36

6 6's

Subtract the amount off

40.8-36=4.8

How many 6's can go into 4.8?

0.6 + 0.6 +0. 6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 48

0.8 6's

4.8 = 4.8 = 0

6 6's + 0.8 6's = 6.8 6's

6.8 is the answer

If you have any questions you can ask

Step-by-step explanation:

ill mark you brainiest , please help!!!

a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?

Answers

Step-by-step explanation:

50cm/40m = 0.5m/40m = 0.0125 = 1/80

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

Answers

Answer:

3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots

Step-by-step explanation:

Answer:

answer d

Step-by-step explanation:

edg 2020

Mrs. Smith’s students are trying to guess her age. She gives them 3 clues: (1) “My age is a factor of 60.” (2) “My age is a multiple of 5.” (3) “My age is more than 20 but less than 50.”
a
How old is Mrs. Smith?

Answers

30 yrs old




Explanation:

The factors of 60 are 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, and 6 and 10.

The next clue eliminates every number except 5, 10, 15, 20, 30, and 60.

5, 10, 15 are less than 20 and eliminated (60 is eliminated because it is more than 50).

20 is eliminated because it is not greater than itself and so Mrs. Smith must be 30.

Samuel is x year old and
two years older than
his wife. What will be
the sum
Sum of their age
ton
years time​

Answers

Answer:

Samuel : x

wife : y

sum of their age : 2+ x : 10

Please answer correctly !!!!!!!!!! Will
Mark brainliest !!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The discriminant is what's under the square root sign in the quadratic equation.  The equation for the discriminant is [tex]b^{2}-4ac[/tex], where b is the coefficient of x, a is the coefficient of [tex]x^{2}[/tex], and c is the number with no variable attatched to it.  If we plug in the numbers ([tex]17^{2} -4*4*3[/tex]) it gives you 241, which is the discriminant.  Since 241 is more than zero, it has 2 zeros.  If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.

What is the missing step in the proof? i need help

Answers

Answer is A..........

Select all the equations where y=10equals, is a solution.
Choose 2 answers:



A
y+11=22


B
8=18-y


C
60=6y


D
y/5=4

E
10y=20

Answers

Answer:

B and C

Step-by-step explanation:

A. y + 11 = 22         →  subtract 11 from both sides:

    y = 11

---------------------------------------------------------------------------

B. 8 = 18 - y           →  subtract 18 from both sides:

    -10 = -y              →  divide both sides by -1:

     10 = y

----------------------------------------------------------------------------

C. 60 = 6y             →  divide both sides by 6:

    10 = y

-----------------------------------------------------------------------------

D. [tex]\frac{y}{5}[/tex] = 4                  →  multiply both sides by 5:

   y = 20

-----------------------------------------------------------------------------

E. 10y = 20            →  divide both sides by 10:

     y = 2

what is the slope of the linear relationship shown in this table?

Answers

Answer:

-1/2

Step-by-step explanation:

Slope is change in x over change in y

so..

2-(-4)

over

-1-11

so...

-6/12 or -1/2

Which statements accurately describe the function f(x) = 3(18)*? Select three options.
O The domain is all real numbers.
The range is y> 3.
The initial value is 3.
The initial value is 9.
The simplified base is 372.

Answers

Answer:

Step-by-step explanation:

Without the variable x, your "f(x) = 3(18)*" is not a function.  If you meant

f(x) = 3(18)^x, then the domain is "the set of all real numbers," and the range is (0, infinity).

the initial value is 3:  f(0) = 3(18)^0 = 3(1) = 3

The solution is: statements accurately describe the function f(x) = 3(18)* are:

The domain is all real numbers.

The initial value is 3.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Without the variable x, your "f(x) = 3(18)*" is not a function.

If you meant

f(x) = 3(18)^x,

then the domain is "the set of all real numbers,"

and the range is (0, infinity).

the initial value is 3:  

f(0) = 3(18)^0 = 3(1) = 3

Hence, The solution is: statements accurately describe the function f(x) = 3(18)* are:

The domain is all real numbers.

The initial value is 3.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?​

Answers

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600,   600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e.      [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]

           x = [tex]\frac{75 * 8}{10}[/tex]

           x = 60

∴ The distance is 60 km.

Hope this helps!!!

PLEASE GIMMI ANSWER ASAP

Sharon wants to buy a shirt that cost 40$. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt.

Answers

100% + 5% = 105 %

105/100 x 40$ = 42$

Answer:

hi the answer is 2$

Step-by-step explanation:

40 divided by 10 is 4 divided by 2 is 2

tell me if you need any more help please mark as brainliest

Who knows this, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15

Answers

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

What is the mid point of the segment shown below please help

Answers

the answer is A (1,-3/2)

Need Answer ASAP will give branliest to the first right answer

The two-way table shows the number of students in a school who have rabbits and/or dogs as pets.



Have Rabbits

Do Not Have Rabbits

Total

Have Dogs

22

18

40

Do Not Have Dogs

23

27

50

Total

45

45

90



How many more students have rabbits than dogs?


1

4

5

10

Answers

10 more students have rabbits than dogs
10 more students have rabbits than dogs

The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?
O Y<X+28y
O Y<_X+28
O X+ y<28
O X+y<_28​

Answers

Answer:

C

Step-by-step explanation:

help me please! will mark brainliest

Answers

Answer:

Chris' initial investment is $5000. The interest rate is 2% quarterly for 4 years.

Step-by-step explanation:

The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =

Answers

Answer:

144

Step-by-step explanation:

b2 – 4ac =

(–8)^2 – (4)(2)(–10) =

64 + 80

144

HELP ASAP
15 POINTS
If the plane intersects the cylinder vertically along an edge of the cylinder, the cross section is

A. Circle
B. Line
C. Rectangle
D. Oval

Answers

Answer:

Option C.

Step-by-step explanation:

Cross section: In three-dimensional space, the non-empty intersection of a solid body and a plane is known as cross section.

A cylinder has two circular plane surface called edges (top and bottom) and curved surface.

If the plane intersects the cylinder vertically along an edge of the cylinder, then the plane is perpendicular to both edges and we get two pairs of opposite sides which are equal.

It means, the cross section of plane and cylinder is a rectangle.

Therefore, the correct option is C.

An angle between 180’ and 360’

Answers

Step-by-step explanation:

you start with 90 then 180 then270 then 360

270° if you’re on your phone press and home on zero to get a degree symbol

Helena lost her marbles. But then she found them and put them in 4 bags with mmm marbles in each bag. She had 3 marbles left over that didn't fit in the bags. How many marbles does Helena have in all? Write your answer as an expression.

Answers

Answer:

She had four marbles in four bags. 4m. She had three more marbles.

Step-by-step explanation:

4y+3

Answer:

4m+3

Step-by-step explanation:

I had this same answer in Kahn and got it right

The volume of a​ cone-shaped hole is 50 pi ft cubed . If the hole is 6 ft​ deep, what is the radius of the​ hole?

Answers

Answer:

r = 5

Step-by-step explanation:

The formula for volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex]

h = 6

V = 50π

[tex]2\pi r^2=50\pi[/tex]

r = 5

help!!! ill mark brainliest!

Answers

Answer:

90

Step-by-step explanation:

My brother got that same question and he did it with his class

A nursery builds protective cylindrical covers, as shown, to protect seedlings from frost. The cover has a top, but no bottom. How many square feet of flexible plastic will be needed to build three dozen of the covers? The flexible plastic is sold by the square foot. the radius is 4 in and the height is 10 in

Answers

Answer:

414.48 square feet is needed to make 3 dozen of the covers.

Step-by-step explanation:Step 1: Find the circumference, perimeter, of the circle.

To find the circumference, you multiply the 4 by π, and π is 3.14, and you get  12.56.

Step 2: Find the area of the side, not including the circle.

The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.

Step 3: Add them up.

125.6 + 12.56 is 138.16

Step 4: Multiply 138.16 by three dozen (36 [a dozen is 12]).

138.16 multiplied by 36 is 4973.76 square inches.

Step 5: Convert 4973.76 square inches to square feet.

12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.

A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)

Answers

Answer:

The length is 7 and the width is 4

Step-by-step explanation:

l = length

w = l-3

P =2( l+w)

22 = 2( l+ l-3)

Combine like terms

22 = 2(2l-3)

Divide each side by 2

22/2 = 2/2 (2l-3)

11 = 2l-3

Add 3 to each  side

11+3 = 2l-3+3

14 = 2l

Divide each side by 2

14/2 =2l/2

7 = l

Now find w

w = l-3

w = 7-3 = 4

Answer: length = 7 cm

Width = 4 cm

Step-by-step explanation:

Perimeter = 2 (l + w)

22 = 2 ( l + l-3)

22=2 (2l - 3)

22=4l - 6

22+6 = 4l

4l = 28/4

l = 28/1 = 7 = length

Width = 7-3 = 4

I'm just so lost...
Help!

Answers

Answer:

Step-by-step explanation:

The answer is b Because you have to do the formula and then the answer will become the second

HELP!!!! Position and label the triangle on the coordinate plane

Answers

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

Krishne wants to measure the mass and volume of a key. Which tools should she use?

Answers

Answer:

a balance and a beaker of water

hope it helps mark as brainliest

Answer:

water and beaker, and other science tools

Step-by-step explanation:

In need of help PLEASE!!!!​

Answers

Answer:

a bc I think it's right idk really

Step-by-step explanation:

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