Two linear functions, f(x) and g(x), are combined by addition to form h(x). The same two linear functions are combined by multiplication to form j(x). Graphs of the resulting combined functions are shown. Which statements are true? Check all that apply. Graph A represents j(x). Graph A represents h(x). The y-intercepts for f(x) and g(x) can be 1 and 3. The y-intercepts for f(x) and g(x) can be 3 and 4. The rate of change of the sum of f(x) and g(x) is greater than that of either function.

Answers

Answer 1

Answer: this is the right answer Graph A represents j(x). The y-intercepts for f(x) and g(x) can be 1 and 3. And The rate of change of the sum of f(x) and g(x) is greater than that of either function. your welcome

Step-by-step explanation:

Answer 2

The rate of change of the sum of f(x) and g(x) is greater than that of either function.

How to determine the true statement?

From the question, we have the following parameters:

h(x) = f(x) + g(x)j(x) = f(x) * g(x)

The graphs of the functions are not given;

However, if all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x)

Hence, the true statement (by observation) is (c)

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Related Questions

The reciprocal of the divisor is 4 3 Rewrite the division problem as multiplication ,What is the quotient?

Answers

Answer:

Rewrite the division problem as -9/2 (4,3)

 the quotient: -6

Step-by-step explanation:

What times what gives you 1,000,000

Answers

50, that’s wat it is

What is the range of the function represented by the graph?

Answers

The correct answer is C. y> 1

Answer:

Step-by-step explanation:

answer : C

Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.

s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.

What is the first error he made in computing the standard deviation?
A. Yuri failed to find the difference between each data point and the mean.
B. Yuri divided by n instead of n -1.
C. Yuri did not subtract 9 - 14 correctly.
D. Yuri failed to square -2 correctly.

Answers

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

Answer:

B.

Step-by-step explanation:

(Here's Answers for the Quiz I did so far!)

1. Abby is collecting rainfall data.

Answer: B.

2. The Monthly Mean Salaries

Answer: A.

3. The Number of Cars at a Dealer Ship

Answer: A. (6.9)

4. The Mean Set of Credit Card Scores.

Answer: C. (720)

The vertex of the graph of f(x) = (x - 3| + 6 is located at

Answers

Answer:

The answer is The vertex of the graph of f(x) = |x – 3| + 6 is located at (3,6)

3

and

6

Step-by-step explanation:

Vertex of graph located at (3,6)

What is vertex?

A mathematical object's vertex is a special point where two or more lines or edges typically meet. Angles, polygons, and graphs are the most common examples of vertices.

Given equation f(x) = |x - 3| +6

after simplifying there will be two equations they are

y = x - 3 + 6 = x +3...….(1)

and y = -(x-3) +6

y = 9 - x...…(2)      

substitute value of equation 2 in eq. 1

9 - x = x + 3

      x = 3 and

substitute value of x in eq. 1

y = x + 3 =3 + 3

y = 6

x = 3, y = 6

Hence the intersecting points of both equation are (3,6)

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Find the solution to the system of equations.


−2x+2y=−4
3x+3y=−18

Answers

Set the equations equal to each other like this: -2x+2y=-4=3x+3y=18

Answer:

x = -2

y = -4

Explanation:

To find the y-intercept, substitute the x with 0. To find the x-intercept, substitute the y with 0. You can then graph the lines using these intercepts, and see that they intercept at (-2, -14).

Example on worksheet (subtracting by adding up)

50-29?

29+20=49

49+1=50

20+1=21

50-29=21

My question is where did the 20 come from? can you help me understand this?

Answers

Answer:

(49 - 29) + 1 =(50 - 29)

Step-by-step explanation:

The 20 comes from the subtraction of 29 in both sides of the previous step equality. In the following, I transcript the complete procedure and I add the step that you need to understand why 20 appears (in bold numbers):

29+20=49

49+1=50

(49 - 29) + 1 =(50 - 29)

20+1=21

50-29=21

hence, it was only nesseraty to subtract 29

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

A. p + q = b

D. p · q = c

Step-by-step explanation:

It's best to look at an example, such as this:

[tex]x^2 - 12x+ 35[/tex]

And it's factored form is:

(x - 5) (x - 7)

As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:C and E

Step-by-step explanation:

x^2-6x+40=6x+5

Arrange the equation to equal zero

x^2-6x-6x+40-5=0

x^2-12x+35=0

x^2-7x-5x+35=0

x(x-7)-5(x-7)=0

(x-5)(x-7)=0

x-5=0 or x-7=0

x=5 Or x=7

5x + 8 = ______, when x = 4

Answers

Answer:

28

Step-by-step explanation:5 times 4 plus 8 is 28

How many ways can 12 swimmers finish in first, second, and third place

Answers

1320 ways
This can be solved using something called permutation. There are 12 possible swimmers that can be in first place. After that, 11 swimmers left to be in second place. Finally there are 10 swimmers left for third place. Multiply these together you get 12•11•10=1320. Hope this helps!!

Brainliest will be given to the CORRECT answer.

Answers

Answer: Answer is C

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

6x²-7x-5=6x²-10x +3x-5 =( 6x²+3x)-(10x+5)=3x(2x+1)-5(2x+1)=

=(2x+1)(3x-5)

At Silver Gym, membership is $35 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $85 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms

Answers

Answer:

5 sessions each

Step-by-step explanation:

Let the personal training sessions be x.

Then at Silver Gym Sarah would spend:

35 + 30x

And at Fit Factor she would spend:

85 + 20x

Since total costs are same, the amounts will be equal:

35+30x = 85 + 20x30x - 20x = 85 - 3510 x = 50x= 50/10x= 5

So Sarah would buy 5 training sessions for each of the gyms.

And she would spend $185 at each.

sum of exterior angle triangle is 360°

Answers

Answer:

True

Step-by-step explanation:

The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle. The sum of the exterior angles of a triangle and any polygon is 360 degrees.

(Google) ( don’t copy and paste for your work, change it up a little!) hope this helped!

State the domain and range for the function. f(x)= -tan x

Answers

Answer:

domain: (-∞, ∞) \ (kπ+π/2 for integers k)range: (-∞, ∞)

Step-by-step explanation:

The tangent function is undefined at odd multiples of π/2. It can take on any value.

The domain is all real numbers except odd multiples of π/2.

The range is all real numbers.

Answer: it’s b

Step-by-step explanation:

edge

An oil slick of area 20m^2 tripples in size everyday. Find the time taken for it to exceed 1 hactare in size by firstly representing this information with an appropriate equation.​

Answers

Answer:

The oil slick area A exhibits exponential growth. Assume time t is measured in days.

dAdt=kA,A0=20,A1=20×3=60

Solve this separable differential equation.

dAdt=kA

∫dAA=∫kdt⟺ln(A)=kt+C

A(t)=A0ekt

Determine the constant k using the initial and first day oil slick area values A0,A1.

A1=A0ek×1 on day one

k=ln(A1A0)=ln(6020)=ln(3)

Substitute the known constant k and A0 into the equation.

A(t)=20eln(3)t

Verify the model A(t) matches the desired oil slick expansion. Does it triple every day?

A(0)=20e0=20

A(1)=20eln(3)1=60=3×20

A(2)=20eln(3)2=180=3×60

A(3)=20eln(3)3=540=3×180

It checks out!

On what day has the oil slick reached 1 hectare? The area is measured in square meters.

1 hectare = 10,000 square meters

10000≤20eln(3)t Solve for t days.

t≥1ln(3)ln(1000020)

t≥5.657 days

Answer

The oil slick reached 1 hectare after about 5+1/2 days.

Step-by-step explanation:

7/2 divided by 6 help I need a answer




Answers

Answer:

7/12 in exact form

Step-by-step explanation:

I think you just multiply the numerator by the resipical of the denominator.

Answer:

7/12

First use the reciprocal of 6

6 is equal to 6/1

The reciprocal is the fraction flipped over so 6/1 becomes 1/6 and vice versa

Multiply the 7/2 with the reciprocal of 6

7/2 x 1/6 = 7/12

Hope this helps

Step-by-step explanation:

Kumar has $10.00 to spend. He decided to buy a candy bar for $1.75 and spend the rest on bags of chips. If each bag of chips costs $2.99, how many bags of chips can kumar buy ?

Answers

Answer:

2 bag of chips

Step-by-step explanation:

Total Money Kumar had = $10.00

Money spent on buying candy bar = $1.75

Money left with Kumar after buying candybar  can be obtained by subtracting

Money spent on buying candybar  from Total Money Kumar had.

Money left with Kumar after buying candybar  =  $10.00- $1.75 = $8.25.

It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.

cost of one bag of chips = $2.99

Let no of bag of chips  kumar can buy be x .

Therefore total money spent on buying x bag of chips  is $2.99 time no. of  bag of chips bought

Mathematically it can be expressed as

Total money spent on buying x bag of chips = $2.99 * x = $2.99 x

It is given that he can spent only $8.25 to buy bag of chips.

which means

$2.99 x = $8.25

=> x = 8.25/2.99 = 2.75

Thus he can buy  2.75 bag of chips.

But bag of chips can be only integral number as bag cannot be in fraction .

hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98

Rest of the money will be left which will be 8.25 - 5.98 = $2.27

Answer:

8

Step-by-step explanation:

if x is 3 what is 2x?

Answers

Answer:

6

Step-by-step explanation:

2*3=6

Answer:

6

Step-by-step explanation:

You would multiply 2*3 to get six.

Hope this helps.

Need math answer please

Answers

Answer:

a; (x|x<3)

Step-by-step explanation:

Given: circle k(O), m AB = 120° m∠BCA = (x+60°) Find: x

Answers

Answer:

x=0

Step-by-step explanation:

<BCA is half of arc BA or half of 120 which is 60.

do the math, and then x has to be 0 degrees

Find the circumference of the pizza to the nearest whole numbe
7 in.

Answers

Answer:

The circumference is 44 in.

Step-by-step explanation:

C = 2πr        Use this equation to find the circumference

C = 2π(7)     Multiply

C = 14π        Multiply

C = 43.98 ≈ 44 in

If this answer is correct, please make me Brainliest!

A cylinder has a base radius of 9 feet and a
height of 4 feet. What is its volume in
cubic feet, to the nearest tenths place?

Answers

Answer:

1017.88

Step-by-step explanation:

Answer:

1017.876 cubic ft.

Step-by-step explanation:

To find the volume of a cylinder, use the formula: V = π * r^2 * H

In this case: V = π * (9^2) * (4)

                    V = π * 324

                    V = 1017.876 cubic ft. or ft^3

Hope this helps =)

2x2+3y=-2 solve for y

Answers

Answer:

y=(-2/3)x^2-(2/3)

Step-by-step explanation:

2x^2+3y=-2

3y=-2x^2-2

y=(-2/3)x^2-(2/3)

Answer:

y= -2

Step-by-step explanation:

2x2+3y=-2

4+3y=-2

Subtract 4 from both sides

3y=-6

Divide both sides by 3

y= -2

In my case, x means multiplied by not a variable.

A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?

Answers

Answer:

Volume is increased in a factor of 8. The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width

[tex]h[/tex] - Height

[tex]l[/tex] - Length

If dimensions are doubled, then volume is increased in a factor of 8:

[tex]V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)[/tex]

[tex]V_{f} = 8\cdot w \cdot h \cdot l[/tex]

[tex]V_{f} = 8 \cdot V_{o}[/tex]

The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for that textbook.




Briefly describe how the word lengths compare between textbook 2 and textbook 1.



Briefly describe the variability in the length of words in textbook 2 compared to textbook 1. PLEASE HURRY :(

Answers

Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

what is 1/10+ 3/100 in fraction from

Answers

Answer:

0.13

Step-by-step explanation:

1/10 + 3/100 =

10/100 + 3/100 =

13/100

Hope that this helps you and have a great day:)

georgias gross pay was 35600 this year she is to pay a federal income tax of 16 how much should georgia pay

Answers

Answer:

5696

Step-by-step explanation:

i assume you are referring to tax of 16%

16/100 x 35600 = 5696

For a school event 1/6 of the athletic field is reversed for the fifth -grade classes the reserved part of the field is divided equally Among the 4 fifth grade classes in the school what fraction of the whole athletic field is reserved for each fifth class

Answers

Answer: 1/24

Step-by-step explanation:

We have that 1/6 of the total field is reserved for the fifth-grade classes.

We have 4 fifth-grade classees.

Then each one of those 4 classes, has (1/4) of the reserved space.

This is:

space for each fifth-grade class = (1/4)*(1/6) = 1/24

So each fifth-grade class has a 1/24 of the total field.

please help me with this

Answers

Answer:

your answer is a and d

Step-by-step explanation:

Answer:

A, C

Step-by-step explanation:

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