Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4

Suppose That The Functions F And G Are Defined For All Real Numbers X As Follows.f(x)=x+3g(x) = 4x+4

Answers

Answer 1

Step-by-step explanation:

when you do an arithmetic operation to functions, you do it for the defining expressions.

so,

(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7

(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12

= 4(x² + 4x + 3)

(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13


Related Questions

AYUDAAA PORFAVOOOOOOR!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

La respuesta seria 3 espero que esto ayude

Step-by-step explanation:

Someone please help me. I will give Brainliest. No links, please.

Answers

Answer:

SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent

two sets of congruent sides, a set of congruent angles between the sides

ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent

two sets of congruent angles, a set of congruent sides between the angles

AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent

two sets of congruent corresponding angles, a pair of congruent sides next to the angles

HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.

two congruent hypotenuses and two congruent legs  of a right triangle

Step-by-step explanation:

the equation p=2l+20 gives the perimeter P (in inches) of a rectangular box with a length of l feet. Identify the independent and dependent variables.

Answers

Length is the independent variable while P is the dependent variable.

The dependent and independent variable

Independent variables are variables that can stand alone while dependent are depend on others.

Independent variables are input variables of a function whole independent are the output variables of a function.


Given the function as shown:

P = 2l + 20

length is the independent variable while P is the dependentw variable.

Learn more on independent and dependent variables here; https://brainly.com/question/25223322

4(x + 3) + 3x = 24

Step by step please

Answers

Answer: 12/7

Step-by-step explanation: steps in pic, hope this helps!

can someone help me solve this 11

Answers

[tex]\dfrac{\sin \alpha}{\cos \alpha + \sin \alpha} - \dfrac{\cos \alpha}{\cos \alpha - \sin \alpha}\\\\\\=\dfrac{\sin \alpha(\cos \alpha - \sin \alpha) - \cos \alpha(\cos \alpha + \sin \alpha)}{(\cos \alpha + \sin \alpha)(\cos \alpha -\sin \alpha)}\\\\\\=\dfrac{\sin \alpha \cos \alpha - \sin^2 \alpha - \cos^2 \alpha - \cos \alpha \sin \alpha}{\cos^2 \alpha - \sin^2 \alpha}\\\\\\=\dfrac{-(\sin^2 \alpha + \cos^2 \alpha)}{\cos 2 \alpha}\\\\\\=-\dfrac{1}{\cos 2 \alpha}\\[/tex]

[tex]=-\left(\dfrac{1}{\tfrac{1- \tan^2 \alpha}{1 + \tan^2 \alpha}} \right)~~~~~~~~~~~~~~~~~~; \left[\cos 2\theta = \dfrac{1 - \tan^2 \theta}{1+ \tan^2 \theta} \right]\\\\\\\ = -\left(\dfrac{1+ \tan^2 \alpha}{1- \tan^2 \alpha}\right)\\\\\\= \dfrac{1+\tan^2 \alpha}{\tan^2 \alpha -1}[/tex]

Consider a graph of the equation y = −3x + 4. What is the y-intercept? 4 −4 3 −3

Answers

Answer:

The y-intercept is 4

Step-by-step explanation:

in y=mx+b, the b will always be your y-intercept

what is the slope?
what is the y-intercept?
is it positive or negative?

Answers

Answer:

A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.

Step-by-step explanation:

Answer:

Slope = m = 2

b = 0

Positive

Step-by-step explanation:

Use formula y=mx+b

y= 2X = 2X+0

m is the number multiplied by X

m = 2

m is greator than zero so the slope is positive

when b is not shown then it is zero

decrease £67 by 26% give your answer in pounds

Answers

Answer:

£ 49.58

Step-by-step explanation:

26% of 67 = 0.26 * 67 = £17.42

67 - 17.42 = £49.58

Since it isn’t asking for 26% off of 67, you use the number 74% because 26+74=100

Now, you multiply

.74x67

The answer will be

£49.58

Hope this helps!!

What is are the steps for multiplying (0.03)(-0.02)

Answers

Answer: (0.03)(-0.02) = -0.0006

Step-by-step explanation:

Step 1: Remove the Parenthesis

(0.03)(-0.02) → 0.03 ⋅ 0.02

Step 2: Multiply

0.03 ⋅ 0.02 = -0.0006

,  Hope this helps :)

Have a great day!!

(ASAP) I HAVE C- IN MATH RIGHT NOW AND I NEED TO GET UP MY GRADE PLSSS HELP

Answers

Answer:

Step-by-step explanation:

The product of a number, n, and 0.4 is 8:

(n)(0.4) = 8

n = (8/0.4)

n = 20

can someone please help me

Answers

Answer:

135=9r

Step-by-step explanation:

"product" means multiplication.

9r = 135

Not much needed to be explained

Rafael has two coupons for a phone.

Coupon A:

Coupon B:

$8 rebate on a $57 phone

20% off of a $57 phone

Choose the coupor that gives the lower price.

Then fill in the blank with the correct value.

Coupon A gives the lower price.

The price with coupon A is $] less than the price with coupon B.

Coupon B gives the lower price.

The price with coupon B is $] less than the price with coupon A.

lol

Answers

Coupon B would give the lower price because 20% off 57 is 45.60 and 8 dollars off 57 is 49

(pls help quick and explain how you got the answers for brainliest)

Answers

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

a path forms a diagonal of a rectangular city park. a bench is placed along the path at a point that is closest to the fountain. this point is 30 yards from one end of the path and 50 yards from the other end of the path what is the distance from the bench to the fountain to the nearest yard

Answers

The answer: 39 yards


The 4 in 149 is how many times bigger than the 4 in 74?

4 times

10 times

30 times

100 times

Answers

Answer:

10 times

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

10 times

Step-by-step explanation:

The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct

I need help with this please! It’s due tonight and I don’t know.

Answers

Answer:

b

Step-by-step explanation:

Tangela bought 12 cans of sodas for $5.40

Answers

Answer:

324

Step-by-step explanation:

Answer:

0.45 for one can of soda

Step-by-step explanation:

If you want to know the price for one soda all you have to do is divde.

12 ÷ 5.40 = 0.45

So, one soda can is $0.45! Have a great day friend! :D

Determine whether the lines are parallel, perpendicular, or neither.
2x+y=6
y=1/2x−7

Answers

Answer:

Step-by-step explanation:

2x + y = 6

y = -2x + 6

Comparing this with y = 1/2x - 7

Multiplying the 2 slopes:

-2 * 1/2

= -2/2

= -1

- this means that the 2 lines are perpendicular.

10-(-x)=-5
How do I find out what x is

Answers

Answer:

x=-15

Step-by-step explanation:

10-(-x)=-5

10+x=-5

x=-5-10

Answer:

x = -15

Step-by-step explanation:

A negative times a negative equals a positive, so it's just positive x. After that, isolate the variable.

if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoins

Answers

164-73=18%
136-284=37
136%

14. Write an equation for the line in slope-intercept form.​

Answers

Answer:

y equals -2x plus 8

Step-by-step explanation:

Which list shows all the factors of 72?
A. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
B. 1, 2, 3, 4, 6, 9, 12, 18, 24, 36, 72
C. 1, 2, 3, 4, 5, 6, 8, 9, 12, 18, 24, 36, 72
D. 1, 2, 3, 4, 6, 7, 8, 9, 12, 18, 24, 36, 72

PLS HELPP :)

Answers

It’s A since B does not have 8 and the others have 5, 7 etc. which are not factors of 72

What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole number? (2 points)
1
1.5
2
2.5

Answers

Answer:

Hello!

After reviewing the question you have provided, I came up with the correct answer:

C) 2

Step-by-step explanation:

Firstly:

As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.

When you round the two numbers you should come up with "3-1= ____".

This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.

So 3.2 rounds to 3

And 1.4 rounds to 1.

With the new equation you can then solve "3-1= 2"!

Hope this helps!

please, help!!!! Bussines Calc. I give 20 points. I need a full explanation.

Answers

I believe you are trying to find the most Cheapest cost?

Since the area had to be 1200m^2 the most biggest numbers we could divide with is 30 x 40, which equals to 1200.

30 x 20 (expensive one the lower) = 600 (wall 3) + 20 x 20 = 1000 (wall 3 + wall 1)

40 x 13 (cheapter one the higher) = 520 (wall 4) + 32 x 13 = 936 (wall 4 + wall 2)

Add all together, $1936 to build the whole fence.

(I don't know for sure if I am right. If I am right, can I have a brainliest?)

1. Nancy works at a Dunkin Donut. The coffee maker has the ability to make 64oz of coffee. If
one coffee maker is half full, and coffee is brewed at a rate of 2oz per minute.
a. Write an equation to represent the total amount of coffee, c, in the coffee makers after t
minutes of brewing. (2 points)
b. How much coffee is there after 10 minutes of brewing? (2 points)

Answers

a =  2t+32=c

b= 2*10=20+32=52oz of coffee

I think this is right

What is the solution set of the equation 6x^2 - 18x - 18 =6?

Answers

Answer:

The solution set is {4, -1}

Step-by-step explanation:

6x²- 18x -18 = 6

6x²- 18x -18 - 6 = 0

6x²- 18x -24 = 0

6(x² - 3x - 4) = 0

6(x - 4)(x + 1) = 0

6 = 0 not true

x - 4 = 0 ;   x + 1 = 0

x = 4           x = - 1

The solution set is {4, -1}

a
What is the equation of the line that passes through the point (3, 2) and has a slope
of 2/3?

Answers

Answer:

y=2/3x

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (3,2) and has a slope of 2/3

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we are already given the slope, we can substitute it into the equation as m

y=2/3x+b

Now we need to find b

Since the equation passes through the point (3,2), we can plug its values into the equation to solve for b

Substitute 3 as x and 2 as y into the equation:

2=2/3(3)+b

Multiply

2=2+b

Subtract 2 from both sides

0=b

Substitute 0 as b into the equation

y=2/3x+0

Simplify:

y=2/3x

Hope this helps!

Hey if someone can help me I'd appreciate it please show your work.

Answers

Answer:

Step-by-step explanation:

Umm what is your question u did not add it?

Simplify the expression : 8-(x-4)-2x+3(5-x) ?

Answers

Answer:

-6x+27

Step-by-step explanation:

thanks + brainliest = explanation

if needed, of course :)

8- x+4-2x+3(5-x)
8-x+4-2x+3(-x+5)
8-x+4-2x-3x+15
27-x-2x-3x
27-6x
-6x+27
Answer correct: -6x+27!!!!

Mario is a garbage collector in Mabuhay Homes 2000. He can collect garbages in 80 houses in just 5 working days. In 8 days straight work, he reached 140 houses.

Find the changes of Mario's work, in working straightly?

What was the total number of houses he collected in 12 days if he worked straight?

What will be total number of houses he can collect in 20 days if he will work straight continually?

Answers

192 because 80 divided by 5 equals 16 and 16 multiplied by 12 (12 working days) is equal to 192
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