Given f(x) = 4x - 3 and g(x) = 7x +5, find f(x) + g(x).

Given F(x) = 4x - 3 And G(x) = 7x +5, Find F(x) + G(x).

Answers

Answer 1

Answer:

Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o f )(x).

(g o f )(x) = g( f(x))

   = g(2x + 3)

   = –(           )2 + 5    ... setting up to insert the input

   = –(2x + 3)2 + 5

   = –(4x2 + 12x + 9) + 5

   = –4x2 – 12x – 9 + 5

   = –4x2 – 12x – 4

Step-by-step explanation:

Answer 2

Answer:

11x +2

Step-by-step explanation:

[tex]f(x) = 4x - 3 \\g(x) = 7x +5\\\\f(x)+g(x) = \\\\4x-3 +(7x +5)\\\\=4x-3+7x+5\\\\=4x+7x-3+5\\\\=11x-3+5\\\\=11x+2[/tex]


Related Questions

Marco's football team gained 13 yards on their first play, but lost 7 yards on the second. How many yards did they gain between the two plays?

Answers

Answer:

6

Step-by-step explanation:

thirteen minus seven equals six

Answer:

6

Step-by-step explanation:

13 minus 7 equals 6

hope this helped you

Evaluate: |6|+|-2∣. Answer value

Answers

Answer:

8

Step-by-step explanation:

Absolute value of 6 is 6. Absolute value of -2 is 2. 6+2 is 8.

Answer:

8

Step-by-step explanation:

[tex]\left|6\right|+\left|-2\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\\\left|6\right|=6\\=6+\left|-2\right|\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\\\left|-2\right|=2\\=6+2\\\\Simplify\\=8[/tex]

A club has 20 members, 12 boys and 8 girls. The club needs to select a president, vice-president and secretary. They decide to select randomly. What is the probability that: a) The officers are all female? b) The officers are all male? c) At least one member from each gender is an officer?

Answers

Answer:

a)2/5

b)3/5

C) 1

Step-by-step explanation:

a-8/20=2/5

b-12/20-3/5

c-12+8=20/20=1

i am not that sure about c

hope this help

Ross and Gabby sold boxes of cookies for their soccer team fundraisers.Ross sold b boxes of cookies Gabby sold 35 boxes of cookies .Together they sold 69 boxes of cookies .Witch equation models the scenario?
a)35b=69
b)35-b=69
c)b+35=69
d)35/b=69

Answers

Answer:

the answers c

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Gabby's 35 boxes plus Ross's b amount of boxes equals the 69 boxes

What is the 10% of 20% of 30%?
Ans 1= 0.006%
2=0.06%
3=0.6%
4=6%​

Answers

30%=0.3
20%=0.2
10%=0.1

0.3*0.2*0.1=0.006

Answer is 1

Answer:

3=0.6%

Step-by-step explanation:

(10% of 20%) of %30

30% of 0.02

0.006=0.6%

I need to know WHAT THE ANSWER IS Please?

Answers

Answer:

3

Step-by-step explanation:

When you multiply .3 by 10, you will end up with the answer of three. There are three more ounces in the jar.

A jar contains 2 caramels, 7 mints, and 16 dark chocolates. What is the probability of choosing a dark chocolate, eating it and then choosing a caramel?

Answers

Answer: dark chocolate 16/25 carmel 1/12

Step-by-step explanation:

there are 16 dark chocolates

to find the probability you have to add up all of your numbers

2+7+16= 25

so the probablity of drawing a dark chocolate is 16/25

repeat the steps but subtract 1 from the total since you ate one you didn't put it back.  

so the probability of drawing a carmel is 2/24 or simplified 1/12

I need helppppp it’s geometry

Answers

Answer: Corresponding Angles

Step-by-step explanation:

When two lines are crossed by another line (The Transversal), the angles in matching corners are called Corresponding Angles.

The consumer price index is
___

Answers

Answer:

the consumer price index measures changes in the price level of a (weighted) average market basket of consumer goods and services.

Please Help ASAP Will give the brainiest answer

Answers

I'll give you the answers but make sure you know how to do these.

1) -32

2) -11

3) 77

4) -23

5) -1.3

6) -19.32

7) -10.4

8) 1.408

9) -1/4

10) 9/5

11) -1/6

12) -2 2/3

Hope this helps

Two graduated cylinders, one filled with water to 17 milliliters and one with water and a key filled to 25 milliliters. Calculate the volume of this irregular solid to the nearest cubic centimeter. What is the volume of the key?

nvm its 8 cm3

Answers

Answer:

its 8 cm^3

Step-by-step explanation:

got it right edge 2020

Answer: the answer is 8

Step-by-step explanation:

Just did it and got it correct

What is the area of a rectangle with a dimension of 5 cm and 3/4 cm? PLEASE EXPLAIN AND I WILL MARK YOU BRAINLIEST.

Answers

Answer:

3.75 cm^2

Step-by-step explanation:

Area of a rectangle = Length x Width.

If we are given that the length is 5 cm and width is 3/4 cm ( you could convert this to a 0.75 if you want to as well ) we can plug this in:

Area = 5 cm x 3/4 cm

Solving for Area we get:

Area = 3.75 cm^2.

Answer:

[tex] \boxed{ \bold{ \huge{ \bold{ \boxed{ \sf{3.75 \: {cm}^{2} }}}}}}[/tex]

Step-by-step explanation:

Length ( l ) = 5 cm

Width ( w ) = 3/4 cm

To find : Area of a rectangle

Finding the area of a rectangle having length of 5 cm and width of 3/4 cm

[tex] \boxed{ \sf{area \: of \: rectangle = \: l \times w}}[/tex]

plug the values

[tex] \dashrightarrow{ \sf{5 \times \frac{3}{4} }}[/tex]

To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator.

[tex] \dashrightarrow{ \sf{ \frac{5 \times 3}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{15}{4} }}[/tex]

Divide 15 by 4

[tex] \dashrightarrow{ \sf{3.75 \: {cm}^{2} }}[/tex]

Hope I helped!

Best regards! :D

What is the order for the set of daga

Answers

Answer:

the last answer number 3

I think that last ones 3

Consider x+4=x+8 . What values could be substituted for x to make this a true number sentence?

Answers

Answer:

There is no value of x that will make this true

Step-by-step explanation:

x+4=x+8

Subtract x from each side

x-x+4=x-x+8

4 = 8

This is never true so there is no solution

According to exponent rules, when we divide the same base we _______ the exponents.

A. Multiply B. Add

C. Divide D. Subtract

Answers

Answer:

D

Step-by-step explanation:

Subtract the exponents

The answer is D, subtract the exponent in the problem! Maths is an amazing subject for individuals to succeed and with questions like these, students will learn to continue to grow and develop their mindset.

If m∠A = m∠B and m∠A + m∠C = ∠D, then
m∠B + m∠C = ∠D.

Which property is shown?

reflexive property
substitution property
symmetric property
transitive property

Answers

Answer:

Substitution Property

Step-by-step explanation:

The change from the first equation to the final equation is m∠A has been replaced by m∠B. In other words, m∠B was substituted for m∠A.

Answer:

Substitution property

Step-by-step explanation:

Have a nice day!

Ito washes 7 cars in 3 hours. Joan
washes 9 cars in 4 hours. Who
washes cars at a faster rate?

Answers

Answer:

Ito

Step-by-step explanation:

Make them to their closest common multiple which is twelve.

Next times 7 by 4 as 3*(4) is 12

Then time 9 by 3 as 3*(4) is 12

7*4=28

9*3=27

Therefore ito washes at a faster rate

Answer:

ITO

Step-by-step explanation:

ITO

He can wash 7 cars in 3 hours.

a) 3 x 60 min = 180 minutes

b) 180\7 = 25.71 minutes per car

JOAN

She can wash 9 cars in 4 hours

a) 4 x 60 = 240 minutes

b) 240\9 = 26.66 minutes per car

How does the area of the scale drawing where 1 centimeter represesnts 10 miles compare to the area of a the drawing where 1 centimeter represents 30 miles?

Answers

Answer:

This means that 1cm on the map means 10miles on actual land so is it the same for 30miles

That is 1cm on map 30 cm on land

10, 14, 25, 25, 27, 31, 36, 38, 41, 53
What is the median number of t-shirts sold?

Answers

Answer:

The median number of shirts sold is 29

Step-by-step explanation:

Order the number from least to greatest (in this case they already are), then take the middle number or the two middle number if you have to numbers in the middle. If you have to numbers in the middle add them and the divide by 2.

27+31=58

58÷2=29

Answer:29

Step-by-step explanation:

First find the two middle numbers in this case 27 and 31 add them together and divide by 2

Write an algebraic expression that models the word phrase. the product of 2 and the sum of a number x and 16

Answers

Answer:

2(x+16)

Step-by-step explanation:

it says product of 2 means 2 times

then it says sum of x and 16 so thy are asking for the sum of x and 16 then multiplied by 2

so the ans is 2(x+16)

When introduced in 1997, a DVD player sold for about $500. Five years later, the average price was $155. Find and interpret the average rate of change in price per year.

Answers

Answer:

-69

Step-by-step explanation:

Use rise over run (change in y/change in x)

The change in y is -345, since that is how much the price decreased

The change in x is 5 years

-345/5

= -69

So, the average rate of change in price per year is -69

21 – 8(w + 3) + 3 + 7w

Answers

Answer:  -w

Step-by-step explanation:

21 – 8(w + 3) + 3 + 7 w

Mrs. Atkins pays $ 1,800 for a new
refrigerator washer, and dryer.
The refregerator cost $ 250 more
than the washer. The dryer costs
half as much as the washer.
How much does the washer cost?
The was her cost:_____

Answers

A: $620

Explanation:
first set your variables:
refrigerator: r
washer: w
dryer:d

next create your equation:
1800= r+w+d

now use what you know to solve the problem. you know how much the refrigerator and dryer cost, so create an equation based off that knowledge.

r = 250 + w
d = 1/2w

now substitute those equations for the variables:
1800 = 250 + w + 1/2w + w
(r) (d)

combine like terms:
1800 = 250 + 2w + 1/2w

1800 = 250 + 2.5w

subtract 250 from both sides:
1550 = 2.5w

divide by 2.5:
w= 620

if you want to check, plug in the w value and see if everything equals 1800:
1800 = 250 + 620 + 1/2(620) + 620
1800 = 870 + 310 + 620
1800 = 1800

it is correct, hope this helps :))

What is the inverse of the function

Answers

Answer:

1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Switch x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

(x-1)/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

Answer:

[tex]\huge\boxed{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x+1[/tex]

Put f(x) = y

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

Interchange x and y

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

Solve for y

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

Subtracting 1 to both sides

[tex]x-1 = 2y[/tex]

Dividing both sides by 2

[tex]\frac{x-1}{2} = y \\\\ OR\\\\ y = \frac{x-1}{2}[/tex]

Put y = h(x)

[tex]\bold{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]

Domain and range function graph plz help asap

Answers

Answer:

Domain and range: All possible real numbers.

Step-by-step explanation:

Since both end contains arrows, that means that it keeps going on and on.

In the drawing above two rugby players start 41 meters apart at rest. Player 1 accelerates at 2.2 m/s^2 and player 2 accelerates at 1.7 m/s^2. How much time elapses before the players collide?

Answers

Answer:

The time that elapses before the players collide is 4.59 secs

Step-by-step explanation:

The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.

We can write that

S₁ + S₂ = 41 m

Where S₁ is the distance covered by Player 1 before collision

and S₂ is the distance covered by Player 2 before collision

From one of the equations of kinematics for linear motion,

[tex]S = ut[/tex] + [tex]\frac{1}{2} at^{2}[/tex]

Where [tex]S[/tex] is distance

[tex]u[/tex] is the initial velocity

[tex]a[/tex] is acceleration

and [tex]t[/tex] is time

Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision

That is, t₁ = t₂ = t

Where t₁ is the time spent by player 1

and t₂ is the time spent by player 2

For player 1

[tex]S[/tex] = S₁

[tex]u[/tex] = 0 m/s ( The player starts at rest)

[tex]a[/tex] = 2.2 m/s²

Then,

S₁ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (2.2)t^{2}[/tex]

S₁ = [tex]1.1t^{2}[/tex]

[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]

For player 2

[tex]S[/tex] = S₂

[tex]u[/tex] = 0 m/s ( The player starts at rest)

[tex]a[/tex] = 1.7 m/s²

Then,

S₂ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (1.7)t^{2}[/tex]

S₂ = [tex]0.85t^{2}[/tex]

[tex]t^{2} = \frac{S_{2} }{0.85}[/tex]

Since the time spent by both players is equal, We can  write that

[tex]t^{2}[/tex] = [tex]t^{2}[/tex]

Then,

[tex]\frac{S_{1} }{1.1} = \frac{S_{2} }{0.85}[/tex]

[tex]0.85S_{1} = 1.1S_{2}[/tex]

From, S₁ + S₂ = 41 m

S₂ = 41  - S₁

Then,

[tex]0.85S_{1} = 1.1 ( 41 -S_{1} )[/tex]

[tex]0.85S_{1} = 45.1 - 1.1S_{1}[/tex]

[tex]0.85S_{1} + 1.1S_{1} = 45.1 \\1.95S_{1} = 45.1\\S_{1} = \frac{45.1}{1.95} \\S_{1} = 23.13 m[/tex]

This is the distance covered by the first player. We can then put this value into [tex]t^{2} = \frac{S_{1} }{1.1}[/tex] to determine how much time elapses before the players collide.

[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]

[tex]t^{2} = \frac{23.13 }{1.1}[/tex]

[tex]t^{2} = 21.03\\t = \sqrt{21.03} \\t = 4.59 secs[/tex]

Hence, the time that elapses before the players collide is 4.59 secs

If PR = 25 and PQ = 12, then QR=

Answers

Answer:

QR= 13

Step-by-step explanation:

the points on the line in order from left to right are P, Q, R, which means that the distance from P to R is the length of the line. So PQ is only about half the line. To solve this question you would subtract 12 from 25:

25-12=13

hope that helps. can i have brainliest?

Answer:

It depends on whether P lies on QR or not.

If not, we can't find the exact answer for this question.

If P does, there are 2 cases:

Case 1: P is between Q and R

so QR = PQ + PR = 12 + 25 = 37

Case 2: Q is between P and R (because PQ < PR so there is no likelihood for R to lie betweem P and Q)

so QR = PR - PQ = 25 - 12 = 13

Yesterday, there were b milligrams of bacteria in a lab experiment. Today, there are b^2 milligrams of bacteria. If there are 400 milligrams today, how many milligrams of bacteria were there yesterday. a. 20 milligrams b. 200 milligrams c. 1,600 milligrams d. 160,000 milligrams Eva chose B as the correct answer. How did she get that answer. Show the correct answer

Answers

Answer:

A

Step-by-step explanation:

b^2 = 400

b = 20.............

what is the value of m (5m+100)

Answers

o is the value of m i think

Rewrite the following expressions using the Additive Inverse Property -21-62, -78-(-8), 100-500

Answers

Answer:

62/78*( 1 6/8)

= 31/39*( 1 6/8)

= 31/29*( 1 3/4 )

= 31/39* 7/4

Multiply the numerator together and the denominator together

= 217/156

Step-by-step explanation:

LIKE IT PLS AND 5 STARS

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