Hello my ''brainiest intelligent minds'' once again I'm counting on you, lol, I'm trying to figure this out.
f(x)=2x+3
g(x)=3x+2
What does (f+g)(x) equal?

Answers

Answer 1

Answer:

(f + g)(x) = 5x + 5

General Formulas and Concepts:

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x + 3

g(x) = 3x + 2

Step 2: Find

Substitute in function values:                                                                              (f + g)(x) = 2x + 3 + 3x + 2Combine like terms:                                                                                         (f + g)(x) = 5x + 5

Related Questions

An organization consists of 8,684 employees. They decided to conduct a survey about their new vacation policies. The organization surveyed 884 of their employees and found that 36% of those surveyed disliked the new vacation policies. Assuming a 95% confidence level, which of the following statements holds true?

Answers

Answer:

A. As the sample size is appropriately large, the margin of error is ±0.032.

Step-by-step explanation:

The margin of error is ±0.032 and the sample size is appropriately large. Therefore, the correct option is A.

PHOTO WILL BE UR Bsf when doing math lol

How to solve this question. I need to show my work for this question.
A cookie recipe calls for 3 eggs and makes 4 dozen cookies.
a). How many cookies could you make with a dozen eggs?
b). How many eggs would you need to make 18 dozen cookies?

Answers

Step-by-step explanation:

Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:

[tex]\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right)[/tex] and [tex]\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right)[/tex]

a) [tex]12\:\text{eggs}×\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}[/tex]

b) 18 dozen cookies = 216 cookies

[tex]216\:\text{cookies}×\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}[/tex]

What is a8 for the geometric sequence 6,561;−2,187;729;−243;….

Answers

Answer:

In geometric sequence you divide the terms. As I will show you the calculations step by step. Hopefully this becomes clear and helpful to you

Step-by-step explanation:

-2187÷6561

= -0.3333...

a8=a1 r^8-1

=(4374)(-0.3)^8-1

=(4374)(-0.3)^7

=(4374)(-4.572473708×10^-4)

=-2

Therefore a8= -2

Easy dividend dont equal 7+10

1. Find the value of the unknown angles in the following diagram.

Answers

Answer:

z= 40

y=140

x= 115

Step-by-step explanation:

look at the pics

A chef is going to use a mixture two different brands of Italian dressing the first spring and days 5% vinegar the second brain contains 15% vinegar the sheriff wants to make 390$ ml addressing that is 9% vinegar how much of each brand should she use

Answers

I guess the chef is making the mixture for the sheriff... Let x be the amount of dressing with 5% vinegar that is required, and y the amount of 15% vinegar dressing (both amounts in mL).

The sheriff wants 390 mL of the mixed dressing, so that

x + y = 390

x mL of the 5% dressing contains 0.05x mL of vinegar, while y mL of the 15% dressing contains 0.15y mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means

0.05x + 0.15y = 35.1

Solve for x and y :

y = 390 - x

0.05x + 0.15 (390 - x) = 35.1

0.05x + 58.5 - 0.15x = 35.1

23.4 = 0.10x

x = 234

y = 156

find the slope of the line
answer choices: 4, 5, 20, 25

Answers

Answer: Third Choice. 20

Concept:

Here, we need to know the idea of a slope.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

STEP ONE: Select two points on the line that intersects with the grids

A (0, 5)

B (1, 25)

STEP TWO: Apply the formula

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (25 - 5) / (1 - 0)

Slope = 20 / 1

Slope = 20

Hope this helps!! :)

Please let me know if you have any questions

Answer:

20

Step-by-step explanation:

We can find the slope of the line by using the slope formula

Slope = (y2 - y1)/(x2-x1)

Where the x and y values are derived from points chosen on the line

The points chosen may vary but I have chosen (1,25) and (2,45)

Now that we have chosen the points let's define our variables ( our variables are x1 x2 y1 and y2 )

x1 is the x value of the first point chosen.The x value of the first point chosen is 1 so x1 = 1

x2 is the x value of the second point chosen. The x value of the second point chosen is 2 so x2 = 2

y1 is the y value of the second point chosen. The y value of the first point chosen is 25 so y1 = 25

y2 is the y value of the second point chosen. The y value of the second point chosen is 45 so y2 = 45

Now to find the slope we simply plug in the values of the variables into the formula

Formula: (y2 - y1)/(x2-x1)

Variables: x1 = 1, x2 = 2, y1 = 25, y2 = 45

Plug in values

(45-25)/(2-1)

Subtract top numbers

(20)/(2-1)

Subtract bottom numbers

20/1

Simplify

The slope is 20

Solve the inequality (help pls)

Answers

Answer:

B

Step-by-step explanation:

(-2/3x)-10<1/3

(-2/3x)<1/3+10

(-2/3x)<31/3

x>-31/2, -31/2=-15 (1/2), x> - 15 (1/2)

1. A tank is 3/5 full of water. After 330 litres of water is drawn out, it becomes 2/7 full. Find the capacity of the tank in litres.​

Answers

Answer:

1050

Step-by-step explanation:

Let x = full capacity

[tex]\frac{3}{5} x=\frac{2}{7} x+330[/tex]

Move the variable to the left side by subtracting both sides by [tex]\frac{2}{7} x[/tex]

[tex]\frac{3}{5} x-\frac{2}{7}x=\frac{2}{7} x+330 -\frac{2}{7}x[/tex]

[tex]\frac{3}{5} x-\frac{2}{7} x=330[/tex]

Combine the like terms (don't forget about common denominator)

[tex]\frac{21}{35} x-\frac{10}{35} x=330[/tex]

[tex]\frac{11}{35} x=330[/tex]

Multiply both sides by [tex]\frac{35}{11}[/tex] to isolate the x

[tex](\frac{35}{11})\frac{11}{35} x=330(\frac{35}{11})[/tex]

[tex]x = 1050[/tex]

In a class, students can complete extra-credit
assignments for either 7 points or 12 points. Each student can complete at most four of the 7-point assignments and
at most four of the 12-point assignments. If Barbara
completes six extra-credit assignments, what is a
possible number of points she can earn?

Answers

Answer:

31 PTS

Step-by-step explanation:

GIVEN THAT GENERAL TERM =7n+4
evaluate sum of 5th termand 6th term

Answers

Answer:

general term - 7n+4

5th term - 7(5) + 4 = 39

6th term - 7(6) + 4 = 46

There is a circle with a center of 0,0 on a coordinate plane. There is one point on the circle's circumference in which the x:y ratio is 3:1. What is a possible coordinate?

Answers

Answer:

(3, 1)

Step-by-step explanation:

A circle with radius √10 and centre at (0, 0) will have a point (3, 1) on its circumference.

what fraction of 1 day is 48 minutes​

Answers

Answer:

48 ÷ 60 = 4/5

Step-by-step explanation:

4/5 is the answer

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

We require the number of minutes in a day.

i hour = 60 minutes

24 hours = 24 × 60 = 1440 minutes ( 24 hours in 1 day )

Then

fraction = [tex]\frac{48}{1440}[/tex] ( divide numerator/ denominator by 12 )

            = [tex]\frac{4}{120}[/tex] ( divide numerator/ denominator by 4 )

            = [tex]\frac{1}{30}[/tex]

IF A= -35 , B = 10 , C= -5 verify that:-
a x (b+c) = a x b + a x c

Plz tell​

Answers

Answer:

see below

Step-by-step explanation:

a x (b+c) = a x b + a x c

Let A= -35 , B = 10 , C= -5

-35 * ( 10 -5) = -35 *10 + -35 * -5

-35 *(5) = -350 + 175

-175 = -175

Find the answer for x and y

Answers

Answer:

x = 57

y = 57

Step-by-step explanation:

because of the two parallel lines :

41+y+8+74 = 180 add like terms

y + 123 = 180 subtract 123 from both sides

y = 57

x - 3 + 41 + y + 8 = 180 because they make a straight line

x + y + 46 = 180

x + 57 + 46 = 180

x + 123 = 180 subtract 123 from both sides

x = 57

What are the odds IN FAVOR of picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?

Answers

Answer:

there is a 20% chance of getting a red marble

Step-by-step explanation:

Answer:

there is a 1/5 percent chance or 20%

Step-by-step explanation:

Hope this helps!

Can someone please help me solve the equation?

Answers

Answer:

B opition is right

Step-by-step explanation:

The domina a function of

If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30 minutes, find how long it takes them to weed the garden together.

Answers

Answer:

3 hours 30 minutes

Step-by-step explanation:

Jan :2 hours

her husband : 1 hour 30 minutes

2hr + 1 ½ hrs = 3 ½ hrs...that is 3 hours 30 minutes....?

A triangle has side lengths of (4.6x-4.4y)(4.6x−4.4y) centimeters, (7.5x-8.8z)(7.5x−8.8z) centimeters, and (7.7z-9.2y)(7.7z−9.2y) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

The expression that represents the perimeter, in centimeters, of the triangle is [tex]77.41x^{2}+104y^{2}+ 136.73z^{2} -40.48xy - 132xz - 141.64yz[/tex] cm OR 77.41x²+104y²+136.73z²-40.48xy-132xz-141.64yz centimeters

From the question, the side lengths are

(4.6x-4.4y)(4.6x−4.4y) cm, (7.5x-8.8z)(7.5x−8.8z) cm, and  (7.7z-9.2y)(7.7z−9.2y) cm.

First, we will clear the brackets one after the other

For  (4.6x-4.4y)(4.6x−4.4y) cm

[tex]4.6x(4.6x-4.4y) -4.4y(4.6x-4.4y)[/tex]

[tex]21.16x^{2} -20.24xy -20.24xy+19.36y^{2}[/tex]

[tex]21.16x^{2} -40.48xy+19.36y^{2}[/tex]

∴ (4.6x-4.4y)(4.6x−4.4y) cm = [tex]21.16x^{2} -40.48xy+19.36y^{2}[/tex] cm

For  (7.5x-8.8z)(7.5x−8.8z) cm

[tex]7.5x(7.5x-8.8z) -8.8z(7.5x-8.8z)[/tex]

[tex]56.25x^{2} - 66xz -66xz + 77.44z^{2}[/tex]

[tex]56.25x^{2} - 132xz + 77.44z^{2}[/tex]

∴ (7.5x-8.8z)(7.5x−8.8z) cm = [tex]56.25x^{2} - 132xz + 77.44z^{2}[/tex]  cm

For (7.7z-9.2y)(7.7z−9.2y) cm

[tex]7.7z(7.7z-9.2y)-9.2y(7.7z-9.2y)[/tex]

[tex]59.29z^{2} - 70.84yz-70.84yz+84.64y^{2}[/tex]

[tex]59.29z^{2} - 141.64yz+84.64y^{2}[/tex]

∴ (7.7z-9.2y)(7.7z−9.2y) cm =  [tex]59.29z^{2} - 141.64yz+84.64y^{2}[/tex] cm

Now, for the expression that represents the perimeter of the triangle,

Perimeter of a triangle can be calculated by determining the sum of all its sides

That is,

Perimeter of the triangle =  [tex]21.16x^{2} -40.48xy+19.36y^{2}[/tex] cm + [tex]56.25x^{2} - 132xz + 77.44z^{2}[/tex]  cm + [tex]59.29z^{2} - 141.64yz+84.64y^{2}[/tex] cm

[tex]=21.16x^{2} -40.48xy+19.36y^{2} + 56.25x^{2} - 132xz + 77.44z^{2} + 59.29z^{2} - 141.64yz+84.64y^{2}[/tex]

Collect like terms

[tex]= 21.16x^{2}+ 56.25x^{2} -40.48xy+19.36y^{2}+84.64y^{2} - 132xz + 77.44z^{2} + 59.29z^{2} - 141.64yz[/tex]

[tex]= 77.41x^{2} -40.48xy+104y^{2} - 132xz + 136.73z^{2} - 141.64yz[/tex]

[tex]= 77.41x^{2}+104y^{2}+ 136.73z^{2} -40.48xy - 132xz - 141.64yz[/tex] cm

Hence, the expression that represents the perimeter, in centimeters, of the triangle is [tex]77.41x^{2}+104y^{2}+ 136.73z^{2} -40.48xy - 132xz - 141.64yz[/tex] cm OR 77.41x²+104y²+136.73z²-40.48xy-132xz-141.64yz centimeters

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Four- sevenths of the children in class earned A's on the last math test. 18 children did not earn an A. How many earned A's? SHOW ALL WORK!!!

Answers

Answer: 24 people earnt As

Step-by-step explanation:

1. We know that 18 people are the other 3/7 of the class

2. We first find out 1/7, which is calculated by dividing 3/7 by 3, which is 18 / 3 so 6

3. We can then find 4/7 by multiplying the amount of 1/7 by 4, so 6 x 4 = 24

Help!!

A.) find f^-1 and use it to evaluate: f^-1(12)

B.) write a formula for the function g(x) that results when the parent function: f(x) = x^3 is vertically stretched by a factor of three, shifted to the left by 4 units and shifted down by 5 units

Answers

Answer:

Step-by-step explanation:

y = x³

x = ∛y

Switch x and y:

y = ∛x

f⁻¹(x) = ∛x

f⁻¹(12) = ∛12 ≅ 2.29

check:

x = 2.29

f(x)  = 2.29³ ≅ 12

brainliest to correct

Answers

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

-9 × -3

= 27

Note: When you multiply two integers with same sign, then their product is positive.

The table and the Circle Chart shown display the percentage of dogs in seven different groups of dog breeds in a dog competition.

How does the Circle Graph misrepresent the data in the table?

A. The percentages do not add up to 100.
B. The size of the section representing the Non-Sporting group is smaller than the section that represents Herding group.
C. The number of regions in the graph is not correct for the data.
D. One of the breeds in the table is not represented in the Circle Chart.

Answers

Answer:

a

Step-by-step explanation:

Answer:

Incorrect, it's actually B.

Step-by-step explanation:

Look at the Non-Sporting Group and Herding Group. The sizes of the slices are different (NSG being smaller than HG)

Malika is 1.45 meters tall. At 10 a.m., she measures the length of a tree's shadow to be 32.25 meters. She stands 27.5 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

Answer:

Step-by-step explanation:

If the length of a tree's shadow is 32.25 meters. The height of the tree to the nearest hundredth of a meter will be : 9.84m

Given:

Malika height=1.45 meters

Length =32.25 meters

Width =27.5 meters

Height of the tree=x

Proportion:

1.45 : 32.25 :: x : 27.5

Now let determine the height of the tree

32.25-27.5/1.45=32.25/x

4.75/1.45=32.25/x

Cross multiply

4.75x=32.25×1.45

4.75x=46.7625

Divide both side

x=46.7625/4.75

x=9.84m

Inconclusion  if the  length of a tree's shadow is 32.25 meters. The height of the tree to the nearest hundredth of a meter will be : 9.84m

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6. If gallon A has 8L of water and gallon B has 800 ml of water, calculate the total volume of water in both the gallons.​

Answers

Answer:

send me again I can't understand question

Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed

Answers

Answer:

Sin X = 12 / 37

Step-by-step explanation:

Given a right angled triangle, we are to obtain the Sin of the angle X ;

Using trigonometry, the sine of the angle X , Sin A is defined as the ratio of the angle opposite X to the hypotenus of the right angle triangle.

In the right angle triangle :

Sin X = opposite / hypotenus

Opposite = 12 ; hypotenus = 37

Sin X = 12 / 37

given that the following two are geometric series are convergent: 1+x+x^2+x^3+...and 1-x+x^2-x^3+... determine the value(s) of x for which the sum of the two series is equal to 8​

Answers

Let S and T denote the two finite sums,

S = 1 + x + x ² + x ³ + … + x

T = 1 - x + x ² - x ³ + … + (-x) ᴺ

• If both S = 8 and T = 8 as N goes to infinity:

Then

xS = x + x ² + x ³ + x ⁴ + … + x ᴺ⁺¹

-xT = -x + x ² - x ³ + x ⁴ + … + (-x) ᴺ⁺¹

so that

S - xS = 1 - x ᴺ⁺¹   ==>   S = (1 - x ᴺ⁺¹)/(1 - x)

and similarly,

T = (1 - (-x) ᴺ⁺¹)/(1 + x)

For both sums, so long as |x| < 1, we have

lim [N → ∞] S = 1/(1 - x)

lim [N → ∞] T = 1/(1 + x)

Then if both sums converge to 8, this happens for

S : 1/(1 - x) = 8   ==>   x = 7/8

T : 1/(1 + x) = 8   ==>   x = -7/8

• If the sum S + T = 8 as N goes to infinity:

From the previous results, we have

1/(1 - x) + 1/(1 + x) = 8   ==>   x = ±√3/2

What is the distance from point Yto wx in the figure below?
W 16 Z
30
X
1612
34
O A. 4
O B. 162
O C. 16
O D. Cannot be determined
E. 16/3
F. 8

Answers

The length of YZ in the similar triangle given is calculated using Pythagoras theorem which gave us 16√3

What are Similar Triangle

Similar triangles are two or more triangles that have the same shape but may be different sizes. They have the same angles and corresponding sides that are proportional.

In this problem, we need to use the concept of ratio and proportions to find the length of YZ

However, we can simply use Pythagoras theorem to determine the length.

According to Pythagoras' Theorem, the square of the hypotenuse, or side opposite the right angle, in a right-angled triangle, is equal to the sum of the squares of the other two sides.

It is expressed as the equation a² + b² = c².

This is because the triangles forms a right angled triangle and we can easily apply that here.

YZ² = 16² + (16√2)²

YZ² = 768

YZ = √768

YZ = 16√3

The length or distance from point Y to WX which is the same as the length of YZ is calculated as 16√3.

Learn more on similar triangle here;

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#SPJ1

Answer:

C. 16

Step-by-step explanation:

I hope this helps :)

2. What is the number 643,581 rounded off
to the thousands place?
(1) 640,000
(2) 643,000
(3) 643,600
(4) 644,000
(5) 644,600

Answers

Answer:

(4) 644,000

Step-by-step explanation:

643,581

The 3 is in the thousands place

We look at the hundreds place

5

It is 5 or greater so we round the thousands place up 1

644000

Answer:

(2) 643,000

Step-by-step explanation:

Since 3 is a lesser number than 5 the number would be rounded to 643,000

In the graph above, which vertical line (V) and horizontal line (H) can be used to graph point A?


A)

V: x = 1; H: y = 4

B)

V: x = 4; H: y = 1

C)

V: y = 4; H: x = 1

D)

V: x = 1; H: y = –4

Answers

Answer:

V: x = 1; H: y = 4

Step-by-step explanation:

Point A is at x = 1 and y = 4

A vertical line at x=1 and a horizontal line at y = 4

Select the appropriate descriptions of the correlation coefficient (r).

a. r describes the clustering of the points around a line, relative to the SDs.
b. r says how the average value of y depends on x.
c. r determines the accuracy of the regression predictions, through the formula for r.m.s. error.
d. All of the above are accurate descriptions of the uses of r.

Answers

Step-by-step explanation:

I Think Its C

Other Questions
The U.S. government has put in place IPv6-compliance mandates to help with the IPv4-to-IPv6 transition. Such mandates require government agencies to have their websites, email and other services available over IPv6.Lets consider that youve been appointed as the IPv6 transition manager at a relatively small branch of a government agency (e.g., a branch of the Social Security agency in a medium-size town). Your main responsibility is to produce a plan with a timetable for achieving compliance with the IPv6 mandate. The plan should specify the guidelines, solutions, and technologies for supporting IPv6 throughout the agency branch. The plan should include the following, among other things:Summary of the applicable government IPv6 mandateBrief description of the networking facility at the branch (LANs, servers, routers, etc.)Summary of the main IPv6-related RFCs that pertain to the IPv6 supportCooperation with ISPs and equipment vendors to implement IPv6 supportSummary of the solutions and technologies to be employed in implementing IPv6 (e.g., dual-stack, tunneling, translation)Timetable for completion of IPv6 transitionPlan for testing the IPv6 compliance in expectation of an audit by the governmentThe deliverable is a report (in Word) of 6 to 10 pages, excluding the name and biblio pages, with 3 to 5 solid references (APA format), at least. The use of drawings and other graphics is highly recommended. help me please somebody Which of the following verifies that STQR? Why is there a limit to the number of levels that a food chain can reach? Calculate the number of neutrons in atoms of the isotope 3919KWith working out MacKenzie Company sold $780 of merchandise to a customer who used a Regional Bank credit card. Regional Bank deducts a 1.5% service charge for sales on its credit cards and credits MacKenzie's account immediately when sales are made. The journal entry to record this sale transaction would be:________ a) Debit Accounts Receivable $780 and credit Sales $780. b) Debit Cash $768.30; debit Credit Card Expense $11.70 and credit Sales $780. c) Debit Cash of $780 and credit Sales $780. d) Debit Cash of $780 and credit Accounts Receivable $780 e) Debit Cash $768.30 and credit Sales $768.30 Part C of Jim and his dad are building a rectangular flower bed. If Jim and his dad decide to decrease the width of the flower bed from 15 feet, what happens to its length? HELP, please. Get it correct. Ugh Im kinda stuck someone can help me ? the man sitting next to me on the plane was nervous because he....before rfan exited his apartment building and walked 20 blocks west. He then walked an additional 5 blocks west. What must he do to return to his apartment building? 0.50 g of hydrogen chloride (HCl) is dissolved in water to make 4.0 L of solution. What is the pH of the resulting hydrochloric acid solution WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! A man invested N80 at a certain rate of simple interest. If at the end of 5 years the money amounted to N88, what was the rate of simple interest paid? please tell me I don't know plz please plz please Jon Brooks quit his job in a bicycle shop, where he earned $15,000 per year, to become a graduate student in economics. At the university he attended, he spent $2,000 on books, $1,000 on cough medicine, and earned $12,000 as an economics teaching-assistant. What were Jon's economic costs while attending college?a. $18,000.b. $15,000.c. $6,000.d. $3,000. Exploration can be traced to thePhoenicians, Muslims, and Chinesebutwas the front-runner inEuropean exploration.A. RussiaB. PolynesiaC. VikingsD. Portugal How does Lincoln speech address the norths interest ProblemCombine the like terms to create an equivalent expression:y(3y)please someone explain to me how to do this? The athletic company Nike took its name after:the Greek spirit of victory.the Roman goddess of vengeance.the Norse god of sports and games.None of the choices are correct.