Given f(x) = 3x + 2 andg(x) = -2x - 4, find h(x) = f(x) - g(x).

Answers

Answer 1

Answer:

h(x) = 5x+6

Step-by-step explanation:

h(x) = f(x) - g(x)

h(x) = 3x+2 - (-2x-4)

h(x) = 3x+2 + 2x+4

h(x) = 5x+6

Answer 2

All we need to do is plug in the equations for f(x) and g(x) into h(x)

Let's do it

f(x) = 3x + 2 and g(x) = -2x -4

h(x) = f(x) - g(x)

h(x) = (3x + 2) - (-2x - 4)

Combine like terms

(3x) - (-2x) →     3x + 2x      → 5x

(+2) - (-4) →      2 + 4     → 6

Let's put them together

h(x) = 5x + 6

Hope I helped ! :)


Related Questions

Can someone help me with questions 5&6 please

Answers

Answer:

5) B. -6

6) A. 2/3

Step-by-step explanation:

take two points (3, 2) and (12, 8) and use the equation y2- y1 / x2 - x1 to find the slope

(8-2) / (12-3)

6/9 simplified to 2/3

Tammy and Jodi assembled 420 circuit boards in 8 hours. The next day they assembled 36 more circuit boards in the same amount of time. What was their average rate on the second day?​

Answers

If they had completed 420 boards in eight hours that would be 52.5 boards every hour but if they only produced 36 in the eight hours a day schedule that they only completed 4.5 board every hour

Answer:

fifty seven

Step-by-step explanation:

A box contains 90 discs numbered from 2 to 90. If one disc is drawn at a random, find the probability that it bears a two digit number

Answers

Step-by-step explanation:

Let E be the event of drawing a disc from the box of discs numbered from 1 to 90

Two digit numbers from 1 to 90=10,11,12,.....,90

No. of favorable outcomes=81

Total no. of possible outcomes =90

We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=9081=109

Therefore, the probability of a two digit numbered disc from the box of discs numbered from 1 to 90=109

hope it helps !

Um could you just explain how you got the answer so i can do the rest by myself?? ❤︎❤︎
In APQR, mZP = (4x – 14)", mZQ = (5x + 6)°, and
mZR = (x - 2)°. Find mZR.

Answers

Answer:

x = 19

m<R = 17°

Step-by-step explanation:

PQR is a triangle and the sum of interior angles in a triangle is equal to 180°

m<P + m<Q + m<R = 180°

4x - 14 + 5x + 6 + x - 2 = 180° add like terms

10x - 10 = 180 add 10 from both sides

10x = 190 divide both sides by 10

x = 19

angle R is x - 2 so if we replace x with the value we found

m<R = 19 - 2 = 17°

Question 19 of 25
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply
A.0
B.-7
C.18
D.-25

Answers

B and d is correct !!!!!

whats 2+2
idbibidhbvisdhbvkdbhvadkvbavsdjbvksajbvhllkcxbjv
fv;dfjnvalb
n;dvljadnfb;ljdafnj

Answers

2+2=4 because if you have 2 and you add another 2 you will have 4

a positive integer n not exceeding 100 is chosen in such a way that if n ≤ 50 , then the probability of choosing n is p , and if n > 50 , then the probability of choosing n is 3 p . the probability that a perfect square is chosen is (a) 0.05 (b) 0.065 (c) 0.08 (d) 0.09 (e) 0.1

Answers

The probability that a perfect square is chosen is 0.08;

P represents the likelihood of selecting the number 'n' such that n>50. There are exactly 7 perfect squares less than 50. Therefore, there is a 7/50 chance of having a perfect square that is less than or equal to 50.

The likelihood of selecting the number "n" such that n>50 is also given as 3p. From 50 to 100, there are precisely 3 perfect squares. Therefore, there is a 3/50 chance of having a perfect square that is higher than 50 and less than or equal to 100.

The chance of selecting any number between "1" and "100" is p+3p=4p.

The probability that the chosen number is a perfect square and less than or equal to 50 is p × 7/50;

The odds that the selected number is larger than 50 but not higher than 100 and a perfect square are 3p × 3/50;

Consequently, the likelihood that any selected number is a perfect square is (p×7/50+3p×3/50)÷4p

If we simplify, we have 0.08.

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What is 55% of 35?




pls help

Answers

Answer:

55% of the number 35 is 19.25.

Hope this helps!

............................

Answers

Answer:

The answer above is correct.

Step-by-step explanation:

I hope l helped you. ❤❤

what is the total price of a $48 jacket with 8% sales tax

Answers

The answer is $51.84

Help easy math question!!!

Answers

Answer:

16 feet

Step-by-step explanation:

This ladder and building creates a right triangle with 34 as the hypotenuse and 30 as a side. the Pythagorean theorem says that a^2 + b^2 = c^2 so 900 + b^2 = 1156. b^2 = 256, square root both sides and you get b = 16

Answer:

16 feet

Step-by-step explanation:

use Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 30^2 = 34^2

a^2 + 900 = 1156

move 900 to the right to leave the a variable by itself

a^2 = 256

take the square root of both sides

a = 16

solve 2x^2+9x-7=0
Give your solutions correct to 3 significant figures.

Answers

Answer:

X = -1 or X = -3.5

Step-by-step explanation:

2x^2 + 9x + 7 = 0

ac = 14

b = 9

find a two numbers which when you multiply you get 14 and add you get 9.

so it will 2 and 7. (they replace b which is 9x)

therefore: 2x^2 + 2x + 7x + 7 = 0

find common factors using each 2 from the four.

2x( x + 1) + 7 (x+1) = 0

so it will be (2x + 7) (x+1) = 0

find x,

i) 2x +7 = 0

x= -3.5

ii) x + 1 = 0

x = -1

PQR~TSR,find the length of SRe

Answers

Answer:

SR = 17.56

Step-by-step explanation:

Formula = PR * RT = SR * RQ

60 * (4x - 26) = 38 * (2x - 1)

Solve for x

240x - 1560 = 76x - 38

164x = 1522

x = 9.28

Solve for SR

2x - 1

2(9.28) - 1

SR = 17.56

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔPQR is similar to the triangle ΔTSR. Then the ratio of the corresponding side will be constant.

SR / RQ = RT / PR

(2x - 1) / 38 = (4x - 26) / 60

(2x - 1) / 19 = (2x - 13) / 15

19(2x - 13) = 15(2x - 1)

Simplify the equation further, then we have

38x - 247 = 30x - 15

38x - 30x = 247 - 15

8x = 232

x = 232 / 8

x = 29

Then the length of the side SR will be given as,

SR = 2(29) - 1

SR = 58 - 1

SR = 57

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

More about the triangle link is given below.

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write the equation of the ellipse graphed below.

ps. this is on Khan Academy’s ‘Ellipse standard equation & graph’

Answers

Answer: I am assuming its telling me to see where it is placed at so it would be (5,7).

I not for sure but I am pretty sure!

Good Luck!

The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater
than 45 square meters, what are the possible values of w, its width, in meters?
OW> 36
Ow< 36
OW> 5
O w<5

Answers

Answer:

The width should be more than 5 m. So it can be  6,7 ...

Step-by-step explanation:

The length of a flower garden is = 9 m

The width of a flower garden is   = w

The area of a flower garden > 45 sq. m

The area of a flower garden  = l * b

l * b > 45

9 * b > 45

the width should be more than 5 m. So it can be  6,7 ...

Doctor Forrest charges $60 for a home visit plus an additional fee of $12.50 per hour spent with the patient. Doctor Forrest arrives at a patient’s home at 9:30 am. The total bill for the visit was $97.50. What time did the doctor leave the patient's home?

Answers

Answer: 12:30 p.m

Step-by-step explanation:

h=hours

97.5=60+12.5h

12.5h=37.5

h=3

9:30 a.m.+h=

9:30 a.m.+ 3=12:30 p.m

There were 225 tickets sold for the ballgame. Children's' tickets were $1 and adults' tickets were $2. If
the total amount of tickets sold was $400, how many of each type were sold?

Answers

Answer: 175 adult and 50 children

Step-by-step explanation:

1x+2y=400

x+y=225

subtract x

y=225-x

substitute for y in first set

1x+2(225-x)=400

1x+450-2x=400

450-x=400

-x=-50

x=50

substitute for second set

50+y=225

y=175

What is the greatest common factor of 16, 8, and 44?

Answers

the greatest common factor is 4

Help if you can plz!!!

Answers

I think answer should be 22 inches please give me brainlest let me know if it’s correct or not thanks bye

6. Which expressions are equivalent to
4(x - 1)? Circle all that apply.

Answers

Answer:

C, E

Step-by-step explanation:

it is

whats my fav football team the person who gets it right gets brainliest
A Pats
B Cheifs
C Panthers
D Steelers

Answers

B ;) i hope i get it right i need brainlest to do my hw:(
I would say C panthers

A quantity with an initial value of 5500 decays exponentially at a rate of 5% every eight hours what is the value of the quantity after one day to the nearest hundredth

Answers

Answer:

≈4715.56

Step-by-step explanation:

The value of the quantity after one day to the nearest hundredth will be 4715.56.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

A quantity with an initial value of 5500 decays exponentially at a rate of 5% every eight hours what is the value of the quantity after one day to the nearest hundredth

The expression for the final value will be:-

Final quantity = 5500( 0.95 )³

Final quantity = 4715.56

Therefore the value of the quantity after one day to the nearest hundredth will be 4715.56.

To know more about Expression follow

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which expression is equivalent to 4(x+7)

Answers

Answer:

4x + 28

Step-by-step explanation:

Here, what you need to do is multiply 4 by x, and then 4 by 7. It's really just the distributive property doing its work.

4(x + 7)

(4 * x) + (4 * 7)

4x + 28 is the new expression.

Help please I put a picture

Answers

Answer:

Q' is at 0, 1.

J' is at 5, 3.

H' is at 3, 5.

Step-by-step explanation:

Whoopsiedaisy nearly botched it up

A chord of a circle is equal to the radius of the circle, name the figure obtained.

Answers

Answer:

diameter

Step-by-step explanation:

that's the answer i think

What is the sign of the product of three integers with the same sign? Explain your thinking

Answers

Answer:

The same sign that the integers have

Step-by-step explanation:

When 3 positive numbers are multiplied together, the product will be positive. In fact, when any number of positive numbers are multiplied together, the product will always be positive.

Examples: 5*7*14=490

1*2*3*4*5*6*7=5040

When 3 negative numbers are multiplied together, the product will be negative. Two negatives make a positive and a negative and a positive will make a negative. Because the product of the first two numbers will be positive, the final product will be negative.

Examples:

(-9)(-2)(-5)

Two negatives make a positive

= 18(-5)

A negative and a positive make a negative

= -90

I hope this helps! Please comment if you have any questions :)

My mom recommends that my sister and I drink 6 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. What is the measurement to the number of fluid ounces in 6 liters?

Answers

Answer:

there are 202.884 fluid ounces in 6 liters

Step-by-step explanation:

your mom wants you to drink a lot of water

Talla is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of 12 cubic feet. Will the poster lie flat in the box? Explain?
Click the icon to view the moving box
An area of 4 square feet means the square poster has dimensions. If the poster were the side of a cube, that cube would have a volume of The box has a
Se flat in the bottom of the box
sides must be
than the sides of the poster, meaning that the poster
volume, so its

Answers

Hence , the poster will lie flat in the box as the area of box is much greater than the area of poster .

The house occupied by a two-dimensional flat surface is termed the realm. it's measured in sq. units. The area of the cube is given by A = 6a² where "a" is the side of the cube .        ........(1)The number of house, measured in cubiform units, that associate degree object or substance occupies is termed volume. Two-dimensional doesn’t have volume however has space solely which is given by V = a³ where "a" is the side of the cube .

It is given that area of square framed poster = 9 sq. feet and volume of cube shaped box = 30 cubic feet.

Using volume formula , we get

      a³ =  12

      a = ∛12

      a = 2.28 feet

Putting a = 2√3 in equation (1) , we get area of cube

    6 (2.28)² = 6 × 5.19

                   = 31.19 square feet

Since the cube box is giant enough in order that the poster can lie flat within the box.

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i need help. thank you

Answers

Answer:

x = 2

Step-by-step explanation:

x/6 + 1 = 2x - 8/3 (first you want to multiply by 6 on both sides to get rid of x/6)

x + 6 = 12x - 16 (add 16 on both sides)

x + 22 = 12x (subtract x on both sides)

22 = 11x (divide by 11 on both sides)

2 = x

Hope this helps ya!!

Asap anwer plssssss!!! Ed can ride 30km on the bicycle in the same time it takes him to walk 14km. If his riding rate is 10kph faster than his walking rate, what is his walking rate

Answers

Answer: 8.75

Step-by-step explanation:

Let walking rate = x

Riding rate = x + 10

Time taken to ride 30km = time taken to walk 14 km

Time = distance / speed

Hence,

30/ (x + 10) = 14 / x

Cross multiply :

30x = 14( x + 10)

30x = 14x + 140

30x - 14x = 140

16x = 140

x = 140 / 16

x = 8.75

Walking rate = 8.75 kph

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