Mathematics High School

Complete the tables to determine if the expressions are equivalent. If the expressions are equivalent, name the properties that make them equivalent.

Answers

Answer 1

Answer:

For both charts:

Top boxes: -12

Middle Boxes: -9

Bottom Boxes: -6

Answer 2

The equation is given by A = 3 ( x - 5 ) and B = 3x - 15 and they are equivalent

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

A = 3 ( x - 5 ) be equation (1)

Now , let the second equation be represented as B

Now , the value of B is

B = 3x - 15 be equation (2)

Now , on simplifying the equation (1) , we get

Substituting the value of x = 1 , 2 , 3 in equation (1) , we get

when x = 1

A = 3 ( 1 - 5 )

A = 3 ( -4 ) = -12

when x = 2

A = 3 ( 2 - 5 )

A = 3 ( -3 ) = -9

when x = 3

A = 3 ( 3 - 5 )

A = 3 ( -2 ) = -6

Now , on simplifying the equation (1) , we get

Substituting the value of x = 1 , 2 , 3 in equation (1) , we get

when x = 1

A = 3 ( 1 ) - 15

A = 3 - 15 = -12

when x = 2

A = 3 ( 2 ) - 15

A = 6 - 15 = -9

when x = 3

A = 3 ( 3 ) - 15

A = 9 - 15 = -6

So , the values of the expressions are the same

Now , applying the distributive property on equation (1) , we get

A = 3 ( x - 5 )

A = 3x - 3 ( 5 )

A = 3x - 15 = B

Hence , the equations are equivalent

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Related Questions

PLSS HELPP

Find the trigonometric ratio as a fraction Tan N =
Find the trigonometric ratio as a fraction Tan L =

Answers

I think the answer for #1 is 3/4 and for #2 is 3/5.

Answer:

Tan N = 4 / 3

Tan L = 3 / 4

Step-by-step explanation:

By Pythagoras theorem,

(LN)² = (MN)² + (LM)²

10² = 6² + (LM)²

100 = 36 + (LM)²

(LM)² = 100 - 36

(LM)² = 64

LM = 8

Tan N

= Opposite / Adjacent

= LM / MN

= 8 / 6

= 4 / 3

Tan L

= 1 / Tan N

= 1 / ( 4 / 3 )

= 3 / 4

Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

Answers

Answer:

-14

Step-by-step explanation:

Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

This is an interesting question, since I have to think I have ever seen a question like this asked before.

3x³ - 5x + k i'll try dividing by x-2 and adjust k so there is no remainder

3x² + 6x + 7

x-2 | 3x³ + 0x² - 5x + k

3x³ - 6x

6x² - 5x

6x² - 12x

7x + k

7x - 14

0 remainder is 0 if k = - 14

when I graphed 3x³ - 5x -14 and (x-2)(3x² +6x +7) the graphs were equivalent

Find the volume of this cube

Answers

Answer:

Step-by-step explanation:

This is a cube so the formula for the volume of a square is a³ = Volume

This means:

5³ = V

V = 125in³

Answer:

125 in^3

Step-by-step explanation:

b/c

v=L×w×h

V=5 in×5 in×5 in

v=125 in^3

What is the first thing you should do to solve this equation?

-3x - 4(4x - 8) = 3(-8 - 1)

Answers

Answer:

Distribute -4 through the parantheses so it can be easier so solve or its either that or collect the like terms

Step-by-step explanation:

Let me know if this helps.. If its not right then let me know so I can see if I can fix it

if you know pemdas you should always start w parentheses (reading left to right) so -4*4x, -4*-8 and then to 3(-8-1)

Ted bought a fishing pole for $35.99, bait for $16.99, and a pair of shorts for $21.99. He had a coupon for 50% off the shorts only. What was the total cost of Ted’s items before tax?

Answers

Calculate the shorts price first
Since the short is 50% off, you can just divide the shirt cost by 2
21.99/2 = $10.99500 for shorts
Add all the items together now
35.99 + 16.99 + 10.99500
= 63.97500
Solution: $63.98

Can y’all plz help I will mark u

Answers

Answer:

4/8

Step-by-step explanation:

7/8 - 3/8 - 4/8

4/8 + 3/8 = 7/8

n = 4/8

hope this helps

3/8 + n= 7/8

want to get n on its own so -3/8 from both sides

n=7/8-3/8
n=4/8
n=1/2 or 0.5

PLEASEE HELLLP!!! I WILL GIVE BRAINLIST!!!

Answers

Answer:

Step-by-step explanation:

I need the answer help plzzzz :)

Answers

Answer:

I think sin would be 330 and Cos would be 60

Step-by-step explanation:

PLS HELP!! right answer = gets

Answers

The awnswer is (1,-3) (if I'm not right try typing it it an app called math away it can solve that no problems)

Find the lateral area of this cone.
Leave your answer in terms of .
15in
12 in
LA = [ ? ]t in
Hint: Lateral Area of a Cone = mre
Where e = slant height

Answers

Given:

Radius of the base of the cone = 12 in.

The slant height of the cone = 15 in.

To find:

The lateral surface area of the given cone.

Solution:

The lateral surface area of the cone is:

[tex]LA=\pi rl[/tex]

Where, r is the radius of the base of the cone and h is the slant height of the cone.

Putting [tex]r=12,h=15[/tex], we get

[tex]LA=\pi (12)(15)[/tex]

[tex]LA=180\pi[/tex]

The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.

Answer:

Lateral is 180π

SURFACE AREA IS 340π

Step-by-step explanation:

I NEED HELP ( this is the semester review thingy and there just introducing me to angels, not even a lesson :( )
Find the measure of angle x in the figure below
35°
48°
69°
78°

Answers

180-(59+52)=69
Y=69
All angles in a triangle add to 180°
So 63+69=132
180-132=48
X=48°

Answer:

Step-by-step explanation:

So we know that a straight line adds up to 180 degrees.

This means that:

52+59+y = 180

y + 111 = 180

y = 69

We also know a triangle also adds up to 180 degrees.

This means that:

y+x+63 = 180

69+63+x = 180

x + 132 = 180

x = 48

Find the volume of a box with dimensions: 5 ½ by 8 by
4 ½ inches..

Answers

Answer:

178 1/2 inches cube

Step-by-step explanation:

Volume = length * width * height

= 8 1/2 * 5 1/4 * 4

= 17/2 * 21/4 * 4

= 1428 / 8

=357/2

= 178 1/2 inches cube.

First come first served brainiest

Answers

Step-by-step explanation:

firat one 50.24

second one 63.585

[tex]\frac{x}{2}+2+=-2\\[/tex]

Answers

-8 is your answer so x=-8

what type of proportion is shown in 12 : 4 = 24 : 8?

Answers

Answer:

3:1

Step-by-step explanation:

Re-Write the quadratic function below in standard Form

y = 5(x+3)(x-4)

Answers

i believe it’s 8x? dndjdj did

Help if right U GET ................. U KNO WAH

Answers

Answer:

a: 448 gallons

b: 5 fish

Step-by-step explanation:

Plz answer for 25 points
question is in pic but answer choices are
10
6
3
2

Answers

Answer:

10 Hope this helps, report the other answer that had this link: fastshorter.ml/5Gh3

Don't listen to that

Step-by-step explanation: I don't post links that are unhelpful, that'll get me in trouble

10 and also I’ve seen the fast shorter thing earlier and I had to report it

What is the area of the obtuse triangle below? 19 11 O A. 99 sq. units OB. 10 sq. units O C. 49.5 sq. units O D. 20.5 sq. units

Answers

answer:

C.49.5sq. units

explanation:

Sana makatulong

It tells to round to the nearest hundredth and to only use numbers and decimal points. Please help

Answers

Answer:

189.27 ft²

Step-by-step explanation:

Find the area of the rectangle, then the semi-circle, then add the sums.

1.) Rectangle ▭

║A = lw

║A = 10 ⋅ 15

║A = 150

2.) Semi-circle◗

║A = [tex]\frac{1}{2}[/tex](πr²)

║A = [tex]\frac{1}{2}[/tex](π ⋅ 5²)

║A = [tex]\frac{1}{2}[/tex](78.54)

║A = 39.27

3.) Adding sums +

║150 + 39.27 = 189.27

[Your answer should be 189.27 ft²]

solve the equation using square roots. round your solutions to the nearest hundredth. X^2+11 = 24

Answers

Answer:

I have no idea I am not sure i think 14

Step-by-step explanation:

pleaseeee please please

Answers

Answer:

Step-by-step explanation:

A bike trail is 2 2/5 miles long. Rosie rides her bicycle on the bike trail 4 days a week. How many miles does Rosie ride per week?

Answers

Answer: Rosie biked 9.6 miles per week because you do 2 2/5 times 4. 2 2/5 becomes 12/5 and you just times it by 4.

Hope it helps! :D

HELP ASAP!!? HELP ME PLEASE!! 10 POINTS

Answers

Answer:

D) 3x²y

Step-by-step explanation:

Please help!!!!!I’ll mark you as brainliest!!!!!!

Answers

Answer:

3968

Step-by-step explanation:

64000 x .062 = 3968

hope this helps

Answer:

3,968

Step-by-step explanation:

To find the answer divide 64000 by 100. And then multiple that by 6.2

Given square JKLM, JK=9. Find JL

Answers

Answer:

answer is 18

Step-by-step explanation:

.................

Answer:

Step-by-step explanation:

It may not be correct

56 POINTS
Step 1: Analyze the graph.

Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump.

⦁ What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)

⦁ What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

Step 2: Solve for coefficient a.

⦁ What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

⦁ Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)

⦁ What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

Answers

Answer:

Step 1:

What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)

0=a(4-24)^2+50

-50=a(4-24)^2

4-24

-20^2=400

-50=a(400)

-50=400a

-50/400=-0.125

a = -0.125

B.) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.

Step 2: Solve for coefficient a.

a.) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

f(x) = a(x-h)^2 +k

b.) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)

Not sure about this one...?

c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

f(x)=-12/25(x-25)^2+32

The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32

The key aspects of the graph

The graph that completes the question is added as an attachment

These are the vertex and the intercepts of the graph.

The intercepts tell us about when the time of flight and the time of landing, while the vertex tell about the maximum height of Danny's jump.

From the graph, we have:

Vertex = (25,32)x-intercepts = 15 and 35

The value of the coefficient a

A quadratic function is represented as:

y = a(x - h)^2 + k

Where:

vertex = (h,k)

So, we have:

y = a(x - 25)^2 + 32

Substitute the value of the x-intercept

0 = a(15 - 25)^2 + 32

Subtract 32 from both sides

a(15 - 25)^2 = -32

Solve for a

a = -0.32

Hence, the value of the coefficient a is -0.32

So, the equation in vertex form is y = -0.32(x - 25)^2 + 32

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Write the following as an algebraic expression. Then simplify.
The perimeter of the rectangle with length z + 3 and width z.
Z
z+3
The answer is a
(Simplify your answer.)

Answers

Answer:

Step-by-step explanation:

Welcome for the answer. This answer is only for good intentions only report if necessary. Have a great rest of your day!

The perimeter of the rectangle is given by the algebraic expression: 4z + 6

How to find the perimeter of a rectangle?

The formula for the perimeter of a rectangle is expressed as:

P = 2(L + W)

Where:

W is width

L is length

We are given the following parameters as:

Length = z + 3

Width = z

Thus:

P = 2(z + z + 3)

P = 2(2z + 3)

P = 4z + 6

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Fast help please quick answer

Answers

Answer:

ohh ok fast answer

its option 3

Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).

Answers

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

The rule of reflection over the y-axis is:

[tex](x,y) \to (-x,y)[/tex]

This means that:

[tex]g(x) =f(-x)[/tex]

Substitute -x for x in f(x)

[tex]f(-x) = 2(0.4)^{-x}[/tex]

Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

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