Marty and Ethan both wrote a function, but in different ways.

Marty
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Ethan

A two column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 9.2, 9.6, 10, 10.4.

Whose function has the larger slope?

Marty’s with a slope of 2/3
Ethan’s with a slope of 2/5
Marty’s with a slope of 1/3
Ethan’s with a slope of 1/5

Answers

Answer 1

Answer:

Marty's with a slope of 1/3

Step-by-step explanation:

The functions Marty and Ethan wrote are analyzed the find the slope of each of the function

The equation Marty wrote is presented here as follows;

[tex]y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)[/tex]

Marty's equation can be written in slope and intercept form, y = m·x + c, as follows;

[tex]y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3[/tex]

[tex]y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0[/tex]

[tex]y = \dfrac{1}{3} \cdot x[/tex]

By comparison, the slope of the function, m = 1/3

[tex]\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}[/tex]

Marty's function has a slope of m = 1/3

Ethan has the following two column table;

[tex]\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}[/tex]

The slope, m, of the data in the above table is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;

[tex]Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}[/tex]

Ethan's function has a slope of m = 1/5

Therefore;

Marty's slope of 1/3 is larger, given that 1/3 > 1/5.

Answer 2

Answer:

C. Marty’s with a slope of 1/3

Step-by-step explanation:

Did the test and got it correct


Related Questions

Elsie had a balance in her checking account of -$32. If she wrote a check for $12, what would her balance be then?​

Answers

Answer:

-20

Step-by-step explanation:

because -32 plus 12 is -20

hope that helps!!

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Square 19.  

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Rewrite it from least to greatest and set it up like shown

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Answers

Answer:

Because X (10) repeats

Step-by-step explanation:

A function has no repeated X but here in your x variable 10 is there twice so therefore it is NOT a function

You can use the pencil test also in a graph, align your pencil vertically and see if there are multiple points that have the same X and if there isn't any repeated its a function.

Answer:

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We have x = 10 twice with different f(x) associated, 5 and 20.

If we plot those points they will be on same vertical line, thus the vertical line test is failed.

A bakery offers a sale price of $2.60 for 6 muffins. What is the price per dozen?

Answers

Answer:

$5.20

Step-by-step explanation:

A dozen is 12, so multiply by two.

2.60 * 2 = $5.20

Answer:

5.20 for 12

Step-by-step explanation:

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Type the correct answer in each box.
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (, ). The coordinates of the point that is a reflection of Y across the y-axis are (, ).
Reset Next

Answers

Answer: G

Step-by-step explanation:

Data: Point which has the coordinates of (-2.5, 5.5)=x

Only step, find those two coordinates on the table

Explanation: Since the question is asking you to find  which point has those two coordinates, all you have to do is instead of finding all the coordinates of the points, just search for the coordinates provided and see what point it lands on.

For this problem, it lands on Point G so the answer is Point G(or just G)

I hope this helps!

The thousand bolt factory used 9 boxes, 9 cases, and10 bags, to fill an order. How many bolts did they pack

Answers

Answer:

I think this the answer

Step-by-step explanation:

The Thousand Bolts factory has an order for 3,140 bolts. How can it pack the order using the fewest packages?

what is the solution to x^2 + 6x +7

Answers

Answer:

D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]

Step-by-step explanation:

[tex]x^2+6x+7=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]

[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully

[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]

[tex]x=-3\pm\sqrt{2}[/tex]


Identify the percent of increase from 24 to 144. (round to the nearest tenth of a percent)

Answers

2%is the answer to the question

Using distributive property What expression is equivalent to (p-q)(3)

Answers

[tex]\longrightarrow{\green{3p-3q}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](p - q)(3)[/tex]

Using distributive property which states that [tex]a(b - c) =( a \times b) - (a \times c)[/tex], we have

[tex] = (3 \times p) - (3 \times q)[/tex]

[tex] = 3p - 3q[/tex]

[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

3p - 3q

Step-by-step explanation:

( p - q ) ( 3 )

use distribute property which means multiply each terms in the parantheses by 3.

3 × p - 3 × q

3p - 3q

3-2i/1+4i include each step necessary in simplifying

Answers

Answer:

[tex]\frac{3-2i}{1+4i}=\frac{11}{17}-\frac{10}{17}i[/tex]

Step-by-step explanation:

[tex]\frac{3-2i}{1+4i}[/tex] <-- Given

[tex]\frac{3-2i}{1+4i}*\frac{1-4i}{1-4i}[/tex] <-- Multiply by the conjugate of the denominator as a factor of 1

[tex]\frac{(3-2i)(1-4i)}{(1+4i)(1-4i)}[/tex]

[tex]\frac{(3)(1)+3(-4i)-2i(1)-2i(4i)}{(1)(1)+1(-4i)+4i(1)+4i(-4i)}[/tex] <-- Use the Distributive Property and FOIL

[tex]\frac{3-12i-2i-8i^2}{1-4i+4i-16i^2}[/tex]

[tex]\frac{3-10i-8i^2}{1-16i^2}[/tex]

[tex]\frac{3-10i-8(-1)}{1-16(-1)}[/tex] <-- Rewrite [tex]i^2[/tex] as [tex]-1[/tex]

[tex]\frac{3-10i+8}{1+16}[/tex]

[tex]\frac{11-10i}{17}[/tex]

[tex]\frac{11}{17}-\frac{10}{17}i[/tex] <-- Rewrite in [tex]a\pm bi[/tex] form

A particular sound wave can be graphed using the function y = -1 sin 5x. Find the period of the
function. (This is multiple choice.)

period =2/5pie
o
period = 1
O
period = -1

period 2/5

Answers

the third answer is correct

Answer the question. Will give Brainliest to whoever gets it right.

Answers

Answer:

27 feet

Step-by-step explanation:

they go 27 feet because 15+6+6=27

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Answers

Answer: it is e and b

Step-by-step explanation:

Una persona que gana $2460000, invierte 35% en arriendo, 20% en alimentación, 25% en diversión y el resto para los demás gastos. ¿Cuánto dinero le corresponde para los demás gastos?

Answers

Answer:

Demas gastos= $492.000

Step-by-step explanation:

Dada la siguiente información:

Una persona que gana $2460000, invierte 35% en arriendo, 20% en alimentación, 25% en diversión y el resto para los demás gastos.

Primero, debemos determinar cuanto gasta en cada item:

Arriendo= 2.460.000*0,35=861.000

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Diversión= 2.460.000*0,25= 615.000

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Ahora, lo que gasta en "demás gastos":

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a snowmobile manufacturer claims that the newest model is 20% lighter than the black and white of a picture of metal weighs 645 lb how much did last year's model weigh​

Answers

Answer:

so to find the weight of this years model we do this

645*0.8=516

so the answer is 516

Hope This Helps!!!

find the value of n

3n-10
n=

Answers

10-3=N

N=7

Step-by-step explanation:

hope you like it

Answer = 3 X n = 3n. 10-3n=7n 7n

If f (x) = 1/9 x-2, what is f-1(x)?

Answers

Given:

The function is:

[tex]f(x)=\dfrac{1}{9}x-2[/tex]

To find:

The value of [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{1}{9}x-2[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=\dfrac{1}{9}x-2[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{1}{9}y-2[/tex]

Step 3: Isolate the variable [tex]y[/tex].

[tex]x+2=\dfrac{1}{9}y[/tex]

[tex]9(x+2)=y[/tex]

[tex]9x+18=y[/tex]

[tex]y=9x+18[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=9x+18[/tex]

Therefore, the required function is [tex]f^{-1}(x)=9x+18[/tex].

Please help me with this!

Answers

Answer:

common

Step-by-step explanation:

Answer:

10. A

11. C

Step-by-step explanation:

Hope this is correct. If it is wrong please feel free to critique my mistake(s). I'm sorry in advance if it is incorrect.

If f(x) = 2x-5, then 114) is
O 17
05
04
3

Answers

223 i think bc 2(114)=228-5 is 223
234 because sinxe multiply the number kn larentbesis

Please help I’ll mark as brainliest !

Answers

Answer:

x = 0.6

Step-by-step explanation:

2(x+4)+8x = 14

2x+8+8x = 14

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(divide by 10)

x= 0.6

Answer: 0.6

Explanation: Rid one side of any variables, then solve!

Write an equation of the line that passes through (5,0) and is parallel to the line
y = -3x + 2

Answers

Answer:

y=-3x+15

is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2

Step-by-step explanation:

find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.

hope this helps

Which algebraic expression is a polynomial with a degree of 2?

Answers

Answer:

X ²

Step-by-step explanation:

if it helped you plz follow to get more helps

For the triangles to be congruent by HL, what must be the value of x?

2
3
4
7

Answers

We have been given two right triangles. We are asked to find the value of x, which will make both triangles similar by Hypotenuse-Leg congruence.

Hypotenuse-Leg theorem states if one leg and hypotenuse of a right triangle is congruent to the one leg and hypotenuse of other right triangle, then both triangles are congruent.

So we can set an equation as:

2x + 1= 9

Upon subtracting 1 from both sides we will get,

2x+1 -1 = 9-1

2x=8

Dividing both sides of our equation by 2 we will get,

x= 4

For the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.

What is the HL Congruence Theorem?

If a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangles, the HL Congruence Theorem states that the triangles are congruent to each other.

Therefore, the two corresponding parts of the right triangles are given as:

2x + 19

Thus:

2x + 1 = 9 (HL Congruence Theorem)

Solve for x

2x = 9 - 1

2x = 8

x = 4

Therefore, for the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.

Learn more about the HL Congruence Theorem on:

https://brainly.com/question/4155972

What expression represents 7 less than the product of 11 and 4

Answers

Answer:

(11*4)-7=37

Step-by-step explanation:

Answer:

(11 × 4) - 7

37

Step-by-step explanation:

7 less than 11 × 4

(11 × 4) - 7

44 - 7

37

((PLEASE HELPP)
Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
1.)-5x+y=10
-25x+5y=50
2.)3x-7y=9
-4x+5y=1
3.)y=6x-2
y=6x-4​

Answers

Answer:

1 has 1 solution

2 has one solution

3 has no solutions The lines are parallel

If you have a bag full of balls. It has 6 blue balls, 6 red balls, and 6 green balls. Let's say you take three balls randomly at a time, what is the probability of you taking one ball of each colour?

Answers

Answer:

1/18 I believe or it should be 1/3. May be wrong, sorry

Yolanda makes wooden boxes for a craft fair. She makes 250 boxes as the one shown, and she wants to paint all the outside faces. 6 in.4 in.2 in. Find the surface area of one box. The surface area is square inches.

Answers

Answer:

88 square inches

Step-by-step explanation:

Surface Area =2(lw + lh + hw)

Length, l = 6 in

Width, w = 4 in

Height, h = 2 in

Surface Area = 2(lw + lh + hw)

= 2(6*4 + 6*2 + 2*4)

= 2(24 + 12 + 8)

= 2(44)

= 88 square inches

surface area of one box = 88 square inches

the function h (x) =-16x2+200 give the height, in feet of a ball after x seconds since being dropped from a cliff consider h(3) and it’s meaning in this solution

Answers

Answer:

Answer is the explanation!

Step-by-step explanation:

We know that x is the amount of seconds after the ball is dropped from the cliff and h is the height after that many x seconds.

So h(x) will represent the height of the ball after x seconds.

Meaning h(3) will reprensent the height after x seconds of being drooped.

We can simply replace x with 3 to find the height of it being dropped after 3 seconds.

Hoped this helped,

JoeLouis2

Answer:

Step-by-step explanation:

h(3) = -16(3)^2 + 200 = 56 (feet).  This is the height of the ball 3 seconds after having been dropped from a cliff, as measured upward from ground level.

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