given the replacement set {0,1,2,3,4} solve 4x - 5 = 11

Answers

Answer 1
4x - 5 = 11
4x = 11 + 5 = 16
4x = 16
Divide by 4 from both sides
X = 4

Related Questions

Choose the graph below that correctly represents the equation 2x + 4y = 24.
A. line through the points 0 comma 6 and 12 comma 0
B. line through the points 0 comma negative 6 and 12 comma 0
C. line through the points 0 comma negative 12 and 6 comma 0
D. line through the points 0 comma 12 and 6 comma 0

Answers

a line through the point (0, 6 )

to find a point on the line, choose any value of x , substitute into the equation and solve for y

x = 0 : 0 + 4y = 24 ( divide both sides by 4 )

y = [tex]\frac{24}{4}[/tex] = 6

hence line goes through (0, 6 )


Final answer:

The correct graph that represents the equation 2x + 4y = 24 is option A, which shows a line through the points (0, 6) and (12, 0).

Explanation:

The equation 2x + 4y = 24 can be rearranged to y = -0.5x + 6. This means that the equation represents a linear function with a slope of -0.5 and a y-intercept of 6.

Option A, which shows a line through the points (0, 6) and (12, 0), is the correct graph since it satisfies the equation. The slope is -0.5 and the y-intercept is 6.

Learn more about Graphing Linear Equations here:

https://brainly.com/question/14240165

#SPJ3

The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function. Which equation represents that function? f(x) = 2x f(x) = 3x f(x) = 4x f(x) = 5x

Answers

Answer:

Option D is the correct answer.

Explanation:

 The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function.

We need to find f(x)

Checking each options.

a) f(x) = [tex]2^x[/tex]

    For (0,1)

              f(0) = [tex]2^0=1[/tex]

    For (1,5)

              f(1) =  [tex]2^1=2[/tex], given that f(1) = 5, so option A is wrong.

b) f(x) = [tex]3^x[/tex]

   For (0,1)

              f(0) = [tex]3^0=1[/tex]

    For (1,5)

              f(1) =  [tex]2^1=3[/tex], given that f(1) = 5, so option B is wrong.

c) f(x) = [tex]4^x[/tex]

   For (0,1)

              f(0) = [tex]4^0=1[/tex]

    For (1,5)

              f(1) =  [tex]4^1=4[/tex], given that f(1) = 5, so option C is wrong.

d) f(x) = [tex]5^x[/tex]

   For (0,1)

              f(0) = [tex]5^0=1[/tex]

    For (1,5)

              f(1) =  [tex]5^1=5[/tex]

   For (2,25)

               f(2) =  [tex]5^2=25[/tex]

  For (3,125)

               f(3) =  [tex]5^3=125[/tex]

 So all values are satisfied Option D is the correct answer.

which expression represents “seventeen more than one-fourth y”

Answers

hello again

17-1/49 is your correct answer thank you and have a great day please mark me as brainliest if can

Answer:

Expression which represents “seventeen more than one-fourth y” is:

[tex]\dfrac{1}{4}y+17[/tex]

Step-by-step explanation:

We have to find a expression which represents

“seventeen more than one-fourth y”

one-fourth y= [tex]\dfrac{1}{4}y[/tex]

So, seventeen more than one-fourth y= [tex]\dfrac{1}{4}y+17[/tex]

Hence, expression which represents “seventeen more than one-fourth y” is:

[tex]\dfrac{1}{4}y+17[/tex]

18x^2-2 factor completely

Answers

Here is your answer to your question

The factored form of [tex]\(18x^2 - 2\)[/tex] is [tex]\({2(3x - 1)(3x + 1)}\)[/tex].

To factor the expression [tex]\(18x^2 - 2\)[/tex] completely, we first notice that [tex](18x^2\))[/tex] and [tex]\(2\)[/tex] share a common factor of [tex]\(2\)[/tex]. We can factor out this common factor to simplify the expression:

[tex]\[18x^2 - 2 = 2(9x^2 - 1)\][/tex]

Now, we recognize that [tex]\(9x^2 - 1\)[/tex] is a difference of squares. It can be factored as [tex]\((3x)^2 - 1^2\)[/tex], which follows the pattern [tex]\((a^2 - b^2) = (a - b)(a + b)\)[/tex].

So, applying this pattern, we have:

[tex]\[9x^2 - 1 = (3x)^2 - 1^2 = (3x - 1)(3x + 1)\][/tex]

Therefore, the expression \(18x^2 - 2\) factors completely as:

[tex]\[18x^2 - 2 = 2(9x^2 - 1) = 2(3x - 1)(3x + 1)\][/tex]

What is f(–3) for the function f(a) = –2a2 – 5a + 4?


Answers

f(-3)=f(a)
-3=a

So you need to plug -3 into all the a's

[tex]f(a) = f( - 3) = - 2 ( - 3)^{2} - 5( - 3) + 4[/tex]

= -2(9) - (-15) + 4
= -18 + 15 + 4
= -3 + 4
= 1

Answer:

When you plug input of -3 your output will be 1

Answer:

The value of f(-3) is 1.

Step-by-step explanation:

Given expression,

[tex]f(a)=-2a^2-5a+4----------(1)[/tex]

For finding the value of f(-3),

Put a = - 3 in equation (1),

We get,

[tex]f(-3)=-2(-3)^2-5(-3)+4[/tex]

[tex]=-2(9)+15+4[/tex]

[tex]=-18+19[/tex]

[tex]=1[/tex]

Hence, the value of f(-3) is 1 for the given function.

Graph the equation on the coordinate plane.



y=−2x

Use editing software or windows paint to edit dots, thanks!

Answers

Solution :

Given, the equation [tex]y=-2x[/tex].

To graph the equation on the coordinate plane, we first need to derive the different points of the equation  [tex]y=-2x[/tex],

[tex]at\:\;x=0\Rightarrow y= -2(0)=0\\\\at\:\;x=1\Rightarrow y= -2(1)=-2\\\\at\:\;x=2\Rightarrow y= -2(2)=-4\\\\at\:\;x=3\Rightarrow y= -2(3)=-6\\\\at\:\;x=-1\Rightarrow y= -2(-1)=2\\\\at\:\;x=-2\Rightarrow y= -2(-2)=4\\\\at\:\;x=-3\Rightarrow y= -2(-3)=6[/tex]

The graph plotted using these points is shown in the figure,

Gabriel needs d more dollars to buy a new video console that coast $156.75. He has saved $98.26. Solve the equation $98.26 + d = $156.75 to find out how much more money Gabriel needs.

Answers

Just subtract 98.26 from 156.75. It equals $58.49.

you can use subtraction by doing 156.75 minus 98.26 when you do that the amount he still needs is 58.49

Simplify the expressions

Answers

1a. 6y - 2y = 4y

1b. 6 - 7b + 7b + 3 + b

= 6 + 3 + b

= 9 + b

2a. 10a - 2 + 3 - a

= (10a - a) + (-2 + 3)

= 9a + 1

2b. m · 7 · m · m · m · m · 9

= (7 · 9) · (m · m · m · m · m)

[tex]=63m^{5}[/tex]

3a.  3 + 8(5a + 10)

= 3 + 40a + 80

= 40a + 83

3b.  6v - 8v + 4 + 6v

= (6v - 8v + 6v) + 4

= 4v + 4

4a.  s · 1 · s · 3

= (1 · 3) · (s · s)

[tex]= 3s^{2}[/tex]

4b.  6k - 6k

= 0

5a.  [tex]10y^{4} (y^{2} )[/tex]

= [tex]=10y^{6}[/tex]

5b.  10x + 7 - 5x

= (10x - 5x) + 7

= 5x + 7

6a.  1v - v + 7 + 9v

= (1v - v + 9v) + 7

= 9v + 7

6b.  6z - 5 + 5 - 6z

= (6z - 6z) + (-5 + 5)

= 0 + 0 = 0

7a.  9w + 5w

= 14w

7b. s · 2s · s · s · s · s

= 2 · (s · s · s · s · s · s)

[tex]= 2s^{6}[/tex]

10x=-80

I could us some hlp

Answers

10x = -80

Note the equal sign. What you do to one side, you do to the other.

Divide 10 from both sides

10x/10 = -80/10

x = -80/10

x = -8

-8 is your answer for x

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

~Rise Above the Ordinary, Senpai

answer: x = -8

work:

you're working to solve for x.

this means you want to isolate x, and get it alone.

to do so, divide both sides by 10 to get rid of the 10.

once you divide both sides by 10, x is on its own, and you have the solution to your equation, x = -8!

to check your work you can plug the value for x into the original equation and solve.

10(-8) = -80

-80 = -80

so we can verify this is in fact correct.


i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom



Triangle ABC has vertices at A(−1 , 2), B(4, 2), and C(3, −1). Classify the triangle according to the side lengths.

A) equilateral
B) isosceles
C) right
D) scalene

Answers

Answer:

B) Isosceles

Step-by-step explanation:

The given triangle has vertices at A(-1,2), B(4,2) and C(3,-1).

We must first determine the length of the sides of the triangle, before we can classify it.

We apply the distance formula to find length of the sides.

[tex]|AB|=\sqrt{(4--1)^2+(2-2)^2}[/tex]

[tex]\Rightarrow |AB|=\sqrt{(4+1)^2+(2-2)^2}[/tex]

[tex]\Rightarrow |AB|=\sqrt{5^2+(0)^2}[/tex]

[tex]\Rightarrow |AB|=\sqrt{25}[/tex]

[tex]\Rightarrow |AB|=5 units[/tex].

The length of side BC

[tex]|BC|=\sqrt{(3-4)^2+(-1-2)^2}[/tex]

[tex]\Rightarrow |BC|=\sqrt{(-1)^2+(-3)^2}[/tex]

[tex]\Rightarrow |BC|=\sqrt{1+9}[/tex]

[tex]\Rightarrow |BC|=\sqrt{10}[/tex]

The length of side AC

[tex]|AC|=\sqrt{(3--1)^2+(-1-2)^2}[/tex]

We simplify to obtain;

[tex]|AC|=\sqrt{(3+1)^2+(-3)^2}[/tex]

[tex]\Rightarrow |AC|=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]|AC|=\sqrt{16+9}[/tex]

[tex]|AC|=\sqrt{25}[/tex]

[tex]|AC|=5\:units[/tex]

Since [tex]|AC|=5\:units=|AB|[/tex], the given triangle is an isosceles triangle.

The correct answer is

Answer:

B) isosceles

Step-by-step explanation:

What is the value of the discrimination for the quadratic equation 0=2x2+x-3

Answers

Remark

The formula for a discriminate is b² - 4*a*c

a = 2

b = 1

c = - 3

So the discriminate =

D =  (1)² - 4*2*(-3)

D = 1 - - 24

D = 25


whats the answer for -7x -3x+2= -8x-8

Answers

X=5


Add all the Xs together, then get it alone and there’s your anwser


Hope it helps ❤️

[tex]-10x+2=-8x-8[/tex]                  Combine Like Terms

[tex]-2x+2=-8[/tex]                       Add [tex]-8x[/tex] on both sides

[tex]-2x=-10[/tex]                            Subtract [tex]2[/tex] on both side

[tex]x=5[/tex]                       Divide [tex]-2[/tex] to [tex]-10[/tex]

*(Answer)*= [tex]x=5[/tex]

What is the midpoint of AB?

Answers

The formula of a midpoint:

[tex]\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have

[tex]A(-2,\ 5),\ B(3,\ -3)[/tex]

Substitute:

[tex]\dfrac{-2+3}{2}=\dfrac{1}{2}=0.5\\\\\dfrac{5+(-3)}{2}=\dfrac{2}{2}=1[/tex]

Answer: (0.5, 1).

Answer:

The midpoint of AB is (0.5,1).

Step-by-step explanation:

From the given graph it is clear that the vertices of the triangle ABC are A(-2,5), B(3,-3) and C(-4,-1).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We need to find the midpoint of AB.

[tex]Midpoint=(\frac{-2+3}{2},\frac{5+(-3)}{2})[/tex]

[tex]Midpoint=(\frac{1}{2},\frac{5-3}{2})[/tex]

On further simplification we get

[tex]Midpoint=(\frac{1}{2},\frac{2}{2})[/tex]

[tex]Midpoint=(0.5,1)[/tex]

Therefore the midpoint of AB is (0.5,1).

The lateral surface area of cone A is equal to the lateral surface area of cylinder B.
True or false

Answers

Answer:

TRUE

Step-by-step explanation:

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h

                                            =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal

Hence, the statement that:The lateral surface area of cone A is equal to the lateral surface area of cylinder B. is:

True

How much longer is a 1 inch button than a 3 over 8 inch button

Answers

Subtract.

1 - 3/8 = 5/8

I am very confused lol... So I'm doing a worksheet for Algebra 1 (highschool) and we're doing division and multiplication with fractions at the moment to review what we learned last year and I'm stuck. Right now I'm doing #1 and ended up getting 7 1\2... so I ended up doing this as my equation..
[tex]3 \frac{3}{4} \div \frac{1}{2} [/tex]I have no idea if I'm supposed to do division with this but I tried division and multiplication and got 7 1\2 Everytime I did it. And I know the answer is 1 7/8 cause I may have found a cheat sheet online but I still need to know how to do it. Anyways this is what I did:
[tex]3 \frac{3}{4} \div \frac{1}{2} [/tex]
[tex] \frac{15}{4} \times \frac{2}{1} = \frac{30}{4} [/tex]
[tex] \frac{30}{4} = \frac{15}{2} = 7 \frac{1}{2} [/tex]
I don't understand what I'm doing wrong lol.

Answers

OK first change 3 3/4 to an improper fraction and that will give you  15/4. so you got that part right.  Next, change the division sign to multiplication. then flip the 1/2 to 2/1.  Then multiply 15 times 2 and that will give you 30. Then multiply 4 times 1 and that will give you 4. then you will have an answer of  30/4. Finally, since you a have a big number over a small number you divide 30 by 4 and that will give you 7 1/2. So it turns out that your little cheat sheet is wrong because when you check your answer you should go on Math-way to check it. Also, a little background about me is that I am in 8th grade and I am taking algebra 1 too.

What is the slope and y intercept of y= 3

Answers

the slope is 0 over 1 and the y-intercept is 3


The slope of this would be 0 because rise is 0 divided by the run. This means the slope will always be zero. The y intercept would be (0,3). because you only have a constant which is b, the y-intercept.
y = mx + b
y = 0x + 3

if ( 6^2) ^x =1 what is the value of x

Answers

[tex] { {6}^{2} }^{ x} = 1 \\ {36}^{x} = 1[/tex]
x = 0, since any number to the zero power is equal to 1, except O to the zero power, which would be undefined.

Please help. Thanks!

Answers

B. The equation of this line is x = 3.

E. This graph is not a function because the value x = 3 is assigned to more than one y-value.

x intercept and y intercept

Answers

x + 8y = 0

x - intercept when y = 0:

x + 8(0) = 0

x + 0 = 0

x = 0

y - intercept when x = 0:

0 + 8y = 0

8y = 0    |:8

y = 0

Answer:

The x-intercept is 0

The y-intercept is 0

Sole the equation for the indicated variable.
zm= a+b/a, for a

Answers

zm= a+b/a, for a

Switch sides to have a on left side


a+b/a=zm


Now multiply both sides by a


A+b= zm(a)


A+b= ama


Now subtract azm both sides


A+b-azm=0


Subtract b both sides

A-azm= -b


Factor out a from ask


A(1 -zm)= -b


Divide each term by 1 - zm to get


A= - b/1-zm





Evaluate the algebraic expression for the given variable
-x- -3,x=-5

Answers

here u go, u replace x by the number

is 1000 a perfect cube?

Answers

Think of a cube with side lengths of 10.

The volume of the cube will be L*W*H = 10*10*10 = 1000

This volume of 1000 is what we consider a perfect cube.

Answer: yes

10*10*10=[tex]10^{3}[/tex]

10*10*10=1,000

1,000 is a perfect cube, because 10^3 is 1,000.

I hope this helps :)

A case of 24 pairs of the same kind of sports shoes costs a little more than $800.Explain whether $28 per pair with tax included is a good estimate.

Answers

No because 24 times 28 is 672

Answer:

$28 per pair is not a good estimate.

Step-by-step explanation:

Let x represent cost of each pair with tax.

We have been given that a case of 24 pairs of the same kind of sport shoes cost a little more than $800.

The cost of 24 pairs would be [tex]24x[/tex].

[tex]24x>800[/tex]

[tex]\frac{24x}{24}>\frac{800}{24}[/tex]

[tex]x>33.33[/tex]

Since the cost of each pair is greater than $33.33, therefore, $28 is not a good estimate.

Help!! I have no clue

Answers

okay so you just plug in the x and ys. x is the first number, y is the second. then you just do them all out

So we know that an ordered pair looks like (x,y), right? For this inequality, we're supposed to plug in the values of x and y. If it isn't true, then the inequality does not represent the ordered pair.

First option: (0,1)

[tex]2x + 3y \geq -1[/tex] --> [tex]2(0) + 3(1) \geq -1[/tex] --> [tex]5 \geq -1[/tex]

So this option is correct.

Second option: (-2,1)

[tex]2x + 3y \geq -1 --> 2(-2) + 3(1) \geq -1[/tex]

--> [tex]-4 + 3 \geq -1 --> -1 \geq -1[/tex]

This is also correct.

Third option: (-6,0)

[tex]2(-6) + 3(0) \geq -1 --> -12 \geq -1[/tex]

This is not true, so this option is not correct.

Fourth option: (0,-1)

[tex]2(0) + 3(-1) \geq -1 --> -3 \geq -1[/tex]

This is not correct.

Fifth option: (2,-1)

[tex]2(2) + 3(-1) \geq -1 --> 4 - 3 \geq -1[/tex]

This is correct.

Colton solved an equation incorrectly, as shown below:
Step 1: x − 13 = 26
Step 2: x = 26 − 13
Step 3: x = 39
Which statement best explains why Step 2 is incorrect in Colton’s solution?
He did not subtract 13 from 26.
He did not multiply 26 by 13.
He did not add 13 to 26.
He did not divide 26 by 13.

Answers

Answer:

He did not add 13 to 26.

Step-by-step explanation:

Given : Step 1: x − 13 = 26  

           Step 2: x = 26 − 13  

           Step 3: x = 39

To Find: Which statement best explains why Step 2 is incorrect in Colton’s solution?

Solution:

Correct steps

Step 1:[tex]x- 13 = 26[/tex]

Step 2:[tex]x = 26+13[/tex]

Step 3:[tex]x = 39[/tex]

So, this concludes that He did not add 13 to 26 in step 2

So, Option C is correct.

Hence He did not add 13 to 26.

Answer:

he did not add 13 to 26

Step-by-step explanation:

Which of the inequalities represents the statement, "Two times a number x, less 15, is greater than or equal to 4 times the number y"? A) 2x - 15 ≤ 4y B) 2x - 15 ≥ 4y C) 2x + 15 ≤ 4y D) 15 - 2x ≤ 4y

Answers

Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "15 - 2x ≥ 4y". I hope my answer has come to your help.

Answer:

Step-by-step explanation: B) 2x - 15 ≥ 4y is the correct answer

****BRAINLIEST GOES TO THE FIRST CORRECT ANSWER****


Answers

The two equations are vertical angles, which mean they are equal.

Set each equation to equal each other and solve for x.


3x-3 = 6(x-10)

Simplify the right side:

3x-3 = 6x-60

Subtract 3x from each side:

-3 = 3x - 60

Add 60 to each side:

57 = 3x

Divide both sides by 3:

x = 57 / 3

x = 19



a rock fell from a cliff at 108 feet high and landed on an embankment feet from the ground. find the amount if time it would have taken the rock to fall.

Answers

To solve this problem we will directly use the formula:

[tex]h=\frac{1}{2}gt^2[/tex]..........Equation 1

where symbols have their usual meanings.

Here g=32.2 ft/s^2 and h=108 feet

Therefore, from Equation 1 we will get:

[tex]t=\sqrt{\frac{2h}{g}}[/tex]....Equation 2

Plugging in the values in Equation 2 we get:

[tex]t=\sqrt{\frac{2\times 108}{32.2}}\approx 2.59[/tex] seconds.

Therefore, the amount of time it would have taken the rock to fall is 2.59 seconds.

Evaluate –4 – w for w = –7

Answers

i think the answer might be 3

The answer is  3. Have a great day!

Other Questions
What are factors that can lead to child abuse? plzzz help - i will mark brainest 1.-Write the recursive rule of the sequence 9, 3, 3, 9,... . ________________________________________ 2.-A line has an x-intercept of (4, 0) and a y-intercept of (0, 12). Find the slope of the line. ________________________________________ 3.-A horizontal line includes the points (0, -5 ) and ( 2, -5 ) Find the slope of the line. please help!Este tipo de asiento en un avin cuesta ms dinero. Es un asiento de la clase. (1 point) Blank 1: Officer Smith often works as a drug-use prevention officer in the local public schools. He visits three schools a week, 40 weeks out of the year. How many schools does he visit in a year?a. 100b. 110c. 120d. 130 robbery suspect has been arrested. The judge in the case has set bail at one million dollars. The bail bondsman requires a 10% deposit to issue a bail bond. What portion of the one million dollars does the robbery suspect need to pay to get the bail bond?a. $100,000b. $10,000c. $1,000d. $100 WILL GIVE BRAINLIEST ANSWER TO FIRST PERSON TO ANSWERClassify the following triangle. Check all that apply A. Obtuse B. ScaleneC. Right D. Equilateral E. Acute F. Isosceles "The Government of the United States has been desirous by this friendly proceeding of manifesting the great value which they have invariably attached to the friendship of the Emperor (of Russia) and their solicitude to cultivate the best understanding with his Government. In the discussions to which this interest has given rise and in the arrangements by which they may terminate the occasion has been judged proper for asserting, as a principle in which the rights and interests of the United States are involved, that the American continents, by the free and independent condition which they have assumed and maintain, are henceforth not to be considered as subjects for future colonization by any European powers...." . This excerpt from a speech in 1823 was made by U.S. President A) John Adams. B) James Monroe. C) Andrew Jackson. D) Thomas Jefferson. Which of the following are ordered pairs for the equation y = -4x + 5?(0,5) (1,1) (-1,9)(0,5) (-1,-1) (-1,-9)(0,5) (1,-1) (-1,9)(0,5) (-1,1) (-1,-9) Divide 4p2 + 6 by 2p 2. Which statements are true about the division? Check all that apply. 15 POINTS ANSWER ASAPSolve for q. 3 + q + 9 = 12 (a) q = 0 (b) q = 6 (c) q = 18 (d) q = 24 A. List three things that your body strives to keep constant. (example metabolism) B. Describe one way in which each of the items you listed in Part A could be at least temporarily disrupted from equilibrium. Can you think of a way your body could respond to restore homeostasis after one of these disruptions? which of the following are characteristics of and in-text citation? what did the Marquis de Condorcet, Olympe de Gouges,and Mary Wollstonecraft have in common?A. Their works on women's rights were published during the French Revolution.B. Their support for women's rights led to their exile from their native countriesC. Their advocacy for women's right to vote led to the passage of new laws in France and Great Britain.D. Their essays on women working outside the home helped contribute to the success of the industrial revolution. How is the way contrast function in art similar to the way it functions in real life? suppose a patient weighing 104 pounds requires 156 mL of medicine what is it weight of a patient requires 207 milligrams of Medicine Hamilton and jefferson are often paired to illustrate complementary and sometimes competing perspectives on the importance of liberty and authority To whom did marius landless military recruits swear an oath ? Which fraction converts to a terminating decimal number? A. 1/6 B. 2/9 C. 3/8 D. 4/7 City and county courts have limited jurisdiction on municipal issues. Whose case would a city or county court be most likely to hear? Lisa is standing on the dock besides a leak she drops the rock from her hands into the lake after the rock hits the surface of the lake the rocks distance from the lake surface changes at a rate of -2 in./s if we still hold her hand 4 feet above the lake surface how far from Lisas hand is the rock for seconds after he hits the surface Compare 4x(8-3)and 32-12