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?

Answers

Answer 1

Answer:

Marty's function has larger slope as compared to Ethan's slope.

Step-by-step explanation:

Marty function:

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

Writing in mathematical form: [tex]y+3=\frac{1}{3}(x+9)[/tex]

Marty has written expression in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is slope

So, comparing Marty's equation with general point-slope form equation we get slope [tex]m=\frac{1}{3}\:or\: 0.3[/tex]

Now, Ethan has a table

x        y

-4      9.2

-2      9.6

0       10

2       10.4

We can find slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using any two points, we can find slope of Ethan's equation

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{9.6-9.2}{-2-(-4)} \\Slope=\frac{0.4}{-2+4} \\Slope=\frac{0.4}{2} \\Slope=0.2[/tex]

So, we get Marty's slope = 0.3

Ethan's slope = 0.2

So, Marty's function has larger slope as 0.3 is greater than 0.2

Answer 2

Answer:

C

Step-by-step explanation:


Related Questions

i need help how to solve bc this is for a grade

Answers

Answer: i think its D

Step-by-step explanation:

The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within one standard deviation of the mean is approximately.

Answers

Answer:

empirical rule: about 68% of the data is within 1 standard deviation of the mean.

Step-by-step explanation:

Please help 11 points worth

Answers

Answer:

positive

cuz i just know :)

good luck

It’s definitely Positive


Find the slope of the line

Answers

Answer:

3/4

Step-by-step explanation:

Mini-golf course A has an entrance fee of $8.20, and then a charge of $2.00 per game, Mini-
golf course B has an entrance fee of $4,80, and then a charge of $3.00 per game. Write an
equation to determine x, the number of games needed to be played for both courses to
cost the same

Answers

Answer:

OWO

Step-by-step explanation:

ADD Divide

find the volume v of the described solid s. the base of a solid s is the region enclosed by the parabola y = 4 − x2 and the x-axis. cross-sections per

Answers

The volume v of the described solid s = 8 cubic units .

Given : a parabola y = 4 - ( x ^ 2 )

Writing eq . y = 4 - ( x ^ 2 ) in terms of x ,

( x ^ 2 ) = 4 - y

x = ± [tex]\sqrt{4 - y}[/tex]

A ( y ) = ± [tex]\sqrt{4 - y}[/tex] * ( ± [tex]\sqrt{4 - y}[/tex] )

A ( y ) = 4 - y

Volume the given solid = [tex]\int\limits^4_0 {( 4 - y )} \, dy[/tex]

                                        = 4 ( 4 ) - [ ( 4 ^ 2 ) / 2 ]

                           = 16 - 8

                           = 8

Hence , the volume v of the described solid s = 8 cubic units .

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please help me I do not understand ​

Answers

Answer:

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(x-2\right)\left(x-m\right)=x^2-bx+60[/tex]

switch sides

[tex]x^2-bx+60=\left(x-2\right)\left(x-m\right)[/tex]

subtract x² from both sides

[tex]x^2-bx+60-x^2=\left(x-2\right)\left(x-m\right)-x^2[/tex]

simplify

[tex]-bx+60=-mx-2x+2m[/tex]

subtract 60 from both sides

[tex]-bx+60-60=-mx-2x+2m-60[/tex]

simplify

[tex]-bx=-mx-2x+2m-60[/tex]

subtract x from both sides;  x≠0

[tex]\frac{-bx}{-x}=-\frac{mx}{-x}-\frac{2x}{-x}+\frac{2m}{-x}-\frac{60}{-x};\quad \:x\ne \:0[/tex]

simplify

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Thus,

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.

Answers

Answer:

$2304.5

Step-by-step explanation:

The balance after 8years=P(1+R/100)^t

=1000(1+11/100)^8

=$2304.5

whats the answer giving brainliest:D lol

Answers

Answer:

D. 60/10

Step-by-step explanation:

Help needed!!! Please

Answers

Answer:

5

Step-by-step explanation:

distance formula= radical[(x_2 - x_1)^2 + (y_2 - y_1)^2]

= radical[(1-5)^2 + (6-9)^2]

= radical(16+9)

= radical(25)

= 5

What is the equation of the line that passes through the point (-6,2)(−6,2) and has a slope of -3/2?

Answers

Given:

A line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex].

To find:

The equation of line.

Solution:

If a line passes though a point [tex](x_1,y_1)[/tex] and has a slope m, then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex]. So, the equation of line is

[tex]y-2=-\dfrac{3}{2}(x-(-6))[/tex]

[tex]y-2=-\dfrac{3}{2}(x+6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-\dfrac{3}{2}(6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-9[/tex]

Add 2 on both sides.

[tex]y=-\dfrac{3}{2}(x)-9+2[/tex]

[tex]y=-\dfrac{3}{2}x-7[/tex]

Therefore, the equation of line is [tex]y=-\dfrac{3}{2}x-7[/tex].

I WILL MARK BRAINLIEST
Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3.

Answers

Answer:

y - 6 = - 3(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (- 1, 6) , then

y - 6 = - 3(x - (- 1) ) , that is

y - 6 = - 3(x + 1)

Answer:

your answer would be y - 6 = - 3(x + 1)

Step-by-step explanation:

hopes this helps!:)


.
Solve for x
5x – 7 = 19
Give your answer as an

Answers

5x - 7 = 19

Add 7 to both sides:

5x = 26

Divide both sides by 5:

x = 26/5

[tex]5x - 7 = 19[/tex]

Move -7 to another side and become + 7. Whenever we move to another side, we change the sign/operator to opposite. Ergo, changing from plus to minus and multiply to divide.

[tex]5x = 19 + 7 \\ 5x = 26[/tex]

We are at this part. Now to move 5 which is multiplying the x. So we move 5 from multiply to divide 26.

[tex]x = \frac{26}{5} [/tex]

Ergo, the answer is x = 26/5

9. Given: f(x) = 2x + 3 and g(x) = 3x + 1
Find: (f • g)(-1)

Answers

Answer: -2

Step-by-step explanation:

f(x) = 2x + 3, g(x) = 3x + 1

(f • g)(-1)=

f(-1)*g(-1)=

(2(-1)+3)*(3(-1)+1)=

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

1*(-2)=-2

Use long division to find the quotient (16x3 + 4x2 - 144) / (4x - 8)

Answers

Answer:

[tex] - 22 x - 8[/tex

okvsxhxhxhdhdh

Answer: 4x^2+9x+18

Step-by-step explanation: yes

What is the square root of 166?

Answers

Answer:

12.8840987267

Step-by-step explanation:

Answer:

[tex]\sqrt{166}[/tex] = 12.8

Step-by-step explanation:

45 WZ is parallel to XY,
SW = 15, WX = 5, SZ =12, WZ= 9 Find XY
S
I
W
Z
Х
Y

Answers

Step-by-step explanation:

wz parallel to XYXYS similar WZSXY/WZ=XS/SWXY/9=20/15XY=12

Matching: Connect the correct statement with the corresponding picture. There are multiple correct statements per picture.
A) System is consistent and independent
B) System is consistent and dependent
C) System is inconsistent
D) Only one solution to system
E) Infinitely many solutions to system
F) No solutions to system

Answers

Answer:

Figure 1: A , D

Figure 2: B, E

Figure 3: C, F

Hope that helps!

When using Synthetic Division, you can tell if something is a factor if...

1 it has a remainder of over 100.
2. it has a negative remainder.
3.. it has a remainder of zero.​

Answers

3. If it has a remainder of zero.
It’s number 3. It has a remainder of zero!

Simplify the expression

a. x^2
b. x^3
c. x^1/3
d. x^1/2

Answers

Answer:

d

Step-by-step explanation:

When you exponent an exponent with another exponent, you multiply them together

[tex]Answer:\ x^\frac{1}{2}[/tex]

Step-by-step explanation:

[tex](x^\frac{1}{6})^3=\\\\ x^\frac{1*3}{6}=\\\\ x^\frac{3}{2*3} =\\\\x^\frac{1}{2}[/tex]

find the distance between the points (-5,7) and ( -5,-4)

Answers

Answer:

11

Step-by-step explanation:

Simplify 6a^2b^-2/8a^-3b^3
Assume a≠0 b≠0

Answers

Answer:

3/4

Step-by-step explanation:

reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables

Answer:

the answer is C

Step-by-step explanation:

edge

Write an equation of the line passing through point P(0, -1) that is parallel to the line y = - 2x + 3. y = ​

Answers

Answer:6
-3y= 6 - 2x

Answer:

y=-2x-2

Step-by-step explanation:

Parallel means the same slope from the given slope in the statement.

To find the slope-intercept form equation, you must use the point-slope form which is y-y1=m(x-x1).

The given point (0, -1) includes 0 as the x-intercept and -1 as the y-intercept.

Because parallel is the same slope, the slope we'll insert into our equation is -2.

The point-slope form substituted with the given point and slope looks like the following:

y-(-1)=-2(x-0) which can be simplified to y+2=-2x+0

Solve the simplified equation.

y+2=-2x+0

 -2        -2

y=-2x-2

That's the final equation.

Hope this helps.

The equation of the line in the graph is y = x + .

Answers

Answer:

Step-by-step explanation:

y=x+b

Cassie is having a party at a restaurant with 5 of her friends. The group's total bill, in dollars, can be represented as the integer -93.

Part A
Explain the meaning of the quotient −936 in terms of Cassie's situation. Include the value of the quotient.

Part B
Cassie states that −936 is equivalent to −936. Is she correct? Explain your answer.

Answers

The meaning of the quotient −936 in terms of Cassie's situation is that the total the total bill is 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct.

How to illustrate the information

It should be noted that it was stated that Cassie is having a party at a restaurant with 5 of her friends and the group's total bill, in dollars, can be represented as the integer -936.

Therefore, it should be noted that the total bill will be:

= 936 × 6

= 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct

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Cory's baseball bat weighs 25.64 ounces, and his glove weighs 13.05 ounces. How much does his baseball gear weigh altogether?

Answers

Answer: 38.69

Step-by-step explanation:

Just do 25.64 + 13.05

Answer: 38.69

Step-by-step explanation:

find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equations. use t as your parameter.)

Answers

To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

x = 2 - s -t

y = s

z = t

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DUE SOON PLEASE HELP!!!!!!

Answers

Answer: B

So the question is asking when it will be the same amount of water, which means we are dealing with an EQUAL sign because they want to know when it’s the SAME. So, we look at the equation again and it’s saying that the 4.5 gallon tub is gaining water, and the 7 gallon tub is losing water. Because C also has an equal sign, it isn’t the right choice because of the fact that the 7 gallon tub in that equation has a + sign instead of a - sign like B does.

If this helped I appreciate a ❤️ and 5 ⭐️

Someone help me out with this question

Answers

The answer is A or the 1 selectible option

You just need to look at it from left to right

My monthly utility bill was $69.86. There was just a rate adjustment and now my bill
is $64.72. To the nearest tenth of a percent, by what percent did my water bill
change?

Answers

I’m sure that It changed by 5.1
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