A. Their rates of change differ by 2. B. Their rates of change differ by 4. C. Function M has a greater rate of change than Function P. D. Function M and Function P have the same rate of change.

Answers

Answer 1

Answer:

(a) Their rates of change differ by 2

Step-by-step explanation:

Given

See attachment for functions M and P

Required

Determine what is true about the rates of M and P

First, we calculate the slope (i.e. rate) of both functions.

Slope is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

From the table of M, we have:

[tex](x_1,y_1) = (-2,-9)[/tex]

[tex](x_2,y_2) = (2,11)[/tex]

So, the slope is:

[tex]m_M = \frac{11 --9}{2--2}[/tex]

[tex]m_M = \frac{20}{4}[/tex]

[tex]m_M = 5[/tex]

For function P, we have:

[tex]y = 7x + 9[/tex]

A function is represented as:

[tex]y = mx + b[/tex]

Where:

[tex]m = slope[/tex]

So, by comparison:

[tex]m_P = 7[/tex]

At this point, we have:

[tex]m_M = 5[/tex] --- Slope of M

[tex]m_P = 7[/tex] --- Slope of P

Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2

Other options are not true

A. Their Rates Of Change Differ By 2. B. Their Rates Of Change Differ By 4. C. Function M Has A Greater

Related Questions

Write the equation of the line passing
through the point (2, -1) with a slope of -3.

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

(2, -1); m = -3

y - y1 = m(x - x1)

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

It took Jeremy 60.6 minutes to complete the exam. What is the duration in minutes and seconds?

Answers

Answer:

1 min 36 sec

Step-by-step explanation:

You might approach the answer in this way:

60.6 minutes = 60 minutes + 0.6 minutes, remembering that 1 min = 60 sec

                                                0.6 min      60 sec

Then we have 60 minutes + ------------- * -------------- = 1 min 36 sec

                                                      1               1 min

Answer:

1 minute, and 36 Seconds

Step-by-step explanation:

#CarryOnLearning

put it into greatest and least

Answers

Answer:

3, 1, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1.) 10.5

2.) 3[tex]\pi[/tex] + 1

3.) [tex]\sqrt{105}[/tex]

Step-by-step explanation:

Simplify each first

3[tex]\pi[/tex] + 1 ≈ 10.42

[tex]\sqrt{105}[/tex] ≈ 10.25

10.5

Order

1.) 10.5

2.) 3[tex]\pi[/tex] + 1

3.) [tex]\sqrt{105}[/tex]

URGENT - PLEASE HELP 25 POINTS AND BRAINIEST

A right triangle has legs that measure 5 and x - 1
Its hypotenuse measures x.
Solve for x

Answers

X=3 I think sorry if it’s wrong I’m not too good at this

Please Please please

Answers

Answer:

is the name of your account from little mermaid?  :DDD

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now just refer to the above ( also copy and paste the above on your computer some where so you have it always)

sin( D )= 28 / 53

sin( E ) = 45 / 53

cos(D) = 45 / 53

cos(E) = 28 / 53

I’m really confused on how to do this anyone good with geometry?

Answers

K = 93°G = 73°D = 14°73 + 14 = 87180 - 87 = 93F = 93°F = K∠K = 93°It's really not that hard.Please let me know if I am wrong.

please help

if your gonna scam just leave i really need help

Answers

Answer:

x = 23

Step-by-step explanation:

The measures of the angles in a triangle add up to equal 180

That being said we can create an equation to solve for x

180 = 2x + 3x + 1 + 3x - 5

Now we solve for x using basic algebra

step 1 combine like terms

2x + 3x + 3x = 8x

1 - 5 = -4

now we have 180 = 8x - 4

step 2 add 4 to each side

-4 + 4 cancels out

180 + 4 = 184

now we have 184 = 8x

step 3 divide each side by 8

8x/8=x

184/8=23

we're left with x = 23

What is the solution to this system of equations?

18x - y = - 42

y= (-43x+34)/20

Answers

Answer:

X=-2

Step-by-step explanation:

equation a)

-y=42+18x

equation b)

y= (-43x+34)/20

Solution

42+18x= (-43x+34)/20

20(42+18x)=-43x+34

840+360x = -43x+34

360x+43x=34-840

403x= -806

x= -(806/403)

x= -(2)

x= -2

cosβ=-√2/10. find the angle. plz help me​

Answers

Answer:[tex]98.13\ \text{or}\ 261.87^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\cos \beta =-\dfrac{\sqrt{2}}{10}[/tex]

As the value of cosine is negative, therefore the angle must lie in II or III quadrant

[tex]\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}[/tex]

6 times the quotient of 3 and 5

Answers

Answer:

ten less the quotient of a number and 3 is 6. help needed with equation!Step-by-step explanation:

Answer: I’m not sure if you’re asking for me to solve this or how to set it up. But if you solve it you get 3.6. if you have to sit it up it would be 6 x 3/5

Step-by-step explanation:

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of \dfrac{1}{15} 15 1 ​ start fraction, 1, divided by, 15, end fraction every 6.76.76, point, 7 minutes, and can be modeled by a function, NNN, which depends on the amount of time, ttt (in minutes). Before the medicine was introduced, there were 90{,}00090,00090, comma, 000 bacteria in the Petri dish. Write a function that models the number of bacteria ttt minutes since the medicine was introduced.

Answers

Complete Question

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.

Answer:

Nt = 90,000 × e^t/15

Step-by-step explanation:

The function that models the number of bacteria t minutes since the medicine was introduced is written as

Nt = No×e^λt

Where:

No = The initial number of the bacteria after time t

Nt = The current number of the bacteria after time t

λ = Decay constant or factor

t = Time in years

From the question,

No = 90,000 bacteria

Nt = The current number of the bacteria after time t

λ = 1/15

t = Time in years

Therefore, our function is written as:

Nt = 90,000×e^1/15 × t

Nt = 90,000 × e^t/15

Answer:

90,000*(1/15)^t/6.7

Step-by-step explanation:

Khan told me it's correct.

hii please help asap ill give brainliest thanks

Answers

Answer:

The answer should be C) Job category

sorry if I’m wrong

Please answer this question correctly

Answers

Answer: it is 6

Step-by-step explanation: because they are the same length.

PLS HELP MOST CONFUSING TOPIC

Answers

The angles surrounding the point p are 90 degrees

Then using the angle given, find the missing angles.

JPH = 90

HJP = 49

90+49 = 139

180 - 139 = 41

Therefore JHP = 41

HLP = HJP = 49

HLP = 49

KLP = 72

KLP + HLP = 72 + 49 = 121

Therefore, HLK = 121

LP = JP = 16

JP = 16

HL = HJ = 13

HL = 13

Hope this helps! =)

Restaurants A, B, C, and D lie on a circular lake. Restaurants A and Care near the
road. The angle between the two roads is 70°.
The dashed segments show the path of a boat which sails between the restaurants
and transports guests.

Answers

Answer:

10

Step-by-step explanation:

Angle α in the given problem comes to be 125°.

∠ATC =70°(given)

Suppose the center of the circle is O while both the tangents intersect at T.

As we know quadrilateral ATCO is a cyclic quadrilateral because a quadrilateral constructed by tangents, corresponding points of tangency, and the center of a circle is a cyclic quadrilateral.

What is a cyclic quadrilateral?

A quadrilateral with all its vertices on the circumference of the circle is called a cyclic quadrilateral. The sum of opposite angles is always 180° in a cyclic quadrilateral.

So, ∠AOC = 180 - ∠ATC

∠AOC = 180 - 70

∠AOC = 110°

We know that angle made by an arc at the circumference is half of the angle made by the same arc on the center.

So, ∠ABC = 110/2 = 55°.

Quadrilateral ABCD is a cyclic quadrilateral

So, α =180- ∠ABC

α =180-55

α=125°

Therefore, angle α in the given problem comes to be 125°.

To get more about the cyclic quadrilateral visit:

https://brainly.com/question/24142962

Hey, if you can help I would love it.


Subtract 3 from the product of 8 and 5

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer....

B. (5×8) - 3

Hope it helps!

Brainliest pls....

Follow me! ;)

Answer:

B

Step-by-step explanation:

Subtracting 3 from the product of 8 and 5 means that the 8 and 5 need to be multiplied first.

Brackets, in the order of operations, come before other operators, other than square root, square, and the like. In general, multiplication and division would be done before subtraction, so the bracket goes over 5 x 8 and not 8 - 3.

HELP ME PLS!!! ANSWER QUICKLY!!!

Answers

F: y=1.30x+5 G: y=7x+3 H: y=1.80x-1 J: 1.75x+0.16y I know F G and H are correct but I’m not really sure about J but I think the setup up is kind of right but I don’t know about that one

Solve for x if:
y = 30
x = y
- + 20
3

A) 25
B) 40
C) 50
D) 30

Answers

I can’t understand the way this problem is put on here

Answer:

30?

Step-by-step explanation:

If y is 30 and x = y. Then wouldn't x be 30 HOWEVER I'm unsure what the other part of the equation is.


The value of x can be 2 or 5
The value of y can be 3 or 12
List the possible values of
XY

Answers

Step-by-step explanation:

[tex]when \: x = 2 \: and \: y = 3 \\ xy = (2 \times 3) = 6 \\ when \: x = 2 \: and \: y = 12 \\ xy = (2 \times 12) = 24 \\ when \: x = 5 \: and \: y = 12 \\ xy = (5 \times 12) = 60 \\ when \: x = 5 \: and \: y = 3 \\ xy = (5 \times 3) = 15 \\ values \: of \: xy \: are \: 6, \: 24, \: 60, \: 15[/tex]

y is inversely proportional to x^2
When x = 4, y = 3.
Find y when x= 5.

Answers

Answer:

1.92

Step-by-step explanation:

y = k/x^2

k = yx^2

k = 3 * 4^2

k =3*16=48

y = 48/x^2

y = 48/ 5^2

y = 48/25

y=1.92

What are the factors of 2x^2 - 10x + 12 ?
1) (x + 2) and (x + 3)
2) (x-2) and (x - 3)
3) (x + 6) and (x - 1)
4) (x - 6) and (x + 1)

Answers

The answer for your problem is going to be 4

Shannon is purchasing a government bond with a par value of $800 and a price quote of 101.524%. What is the price of the bond?

Answers

Answer: $812.192

Step-by-step explanation:

The price of the bond will be gotten by multiplying the par value by the price quote. This will be:

Price of bond = Par value × Price quote

Price of bond = $800 × 101.524%

Price of bond = $800 × 1.01524

Price of bond = $812.192

Therefore, the price of the bond is $812.192.

can someone please help will give brainleist
pythagorean modeling ​

Answers

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

Answer:

hi.............,,,,,........

Which of the following could be true if y ≤ -75?

Answers

Hello!

Lets go through each choice, and determine if it is correct.

So, the symbol ≤, means less than or equal to. So our answer must be less than -75 or -75 on the dot.

A: y = 75

Okay, so we can tell this one is wrong off the bat. 75 is much more than -75. (Make sure you notice the symbol!) So it cannot be equal to said answer. A is wrong.

B: y =-74

Another trick question! When you are in the negatives, less is more! So -74 is actually greater than -75. This is also incorrect!

C: y > -75

This one is straight forward. Our equation up top strictly says less than or equal too, while C says greater than. Incorrect!

D: y = -75

The last answer! We see that the symbol in our equation up top says less than or equal too, and y = -75 is equal. This is the correct answer.

Our correct answer is D: y = -75

waffletowne

 

What is the volume of the triangular prism?

Answers

Answer:

Step-by-step explanation:

6x16

6x8 (don't divide)

6x8.5 (don't divide)

8.5x16 (don't divide)

(I THINK I HAVE NO IDEA)

A sphere has a volume of 1,436 in3. What is its radius?​

Answers

Answer:

7

Step-by-step explanation:

So first you would have to know the formula for the volume of a sphere to solve for the radius. The formula is:

V=4 /3πr3

so now we plug in the variables

1,436=4/3πr3

divide by pi

457.09=4/3r3

divide by 4/3 (multiply by the reciprocal which is 3/4)

342.82=r3

Take the third root to get r by itself

r=6.998 or 7 if you will.

please heeeeeeeeeeeeeeeeeeelp

Answers

Answer:

its answer is option c .

hope it helps :)

Step-by-step explanation:

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?

a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units

Answers

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

--------------------------------------------------------------------------------------------------

Step-by-step explanation:

Simplify the expression. 9(5-3)+9v HELPPPPPPPppppppp timed

Answers

Step-by-step explanation:

Subtract the numbers

9

(

5

3

)

+

9

9({\color{#c92786}{5-3}})+9v

9(5−3)+9v

9

(

2

)

+

9

9({\color{#c92786}{2}})+9v

9(2)+9v

2

Multiply the numbers

9

2

+

9

{\color{#c92786}{9}} \cdot {\color{#c92786}{2}}+9v

9⋅2+9v

1

8

+

9

{\color{#c92786}{18}}+9v

18+9v

3

Rearrange terms

1

8

+

9

{\color{#c92786}{18+9v}}

18+9v

9

+

1

8

{\color{#c92786}{9v+18}}

9v+18

Solution

9

+

1

8

PLSSSSSSSS HELPPPPPPPP

Answers

4 answer that as the answer question is hard actually
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