Are the equations 9x=5x+4 and 14x=4 equivilant?​

Answers

Answer 1

Answer:

No

Step-by-step explanation:

First solve both equations:

1) 9x = 5x + 4

Simplifying

9x = 5x + 4

Reorder the terms:

9x = 4 + 5x

Solving

9x = 4 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

9x + -5x = 4 + 5x + -5x

Combine like terms: 9x + -5x = 4x

4x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0

4x = 4 + 0

4x = 4

Divide each side by '4'.

x = 1

Simplifying

x = 1

2) 14x = 4

14x = 4 (divide both sides by 14 to get x)

14x/14 = 4/14

x = 0.285714285714

As you can see, the value of x in the second equations is less than one, therefore making these algebraic equations not equivalent.

Answer 2

Answer:

No

Step-by-step explanation:

9x=5x+4 and 14x=4

9x= 5x+4

Subtract 5x from each side

9x-5x = 5x+4-5x

4x= 4

The equations are not the same


Related Questions

Easy Question For Ya'll

Answers

The statements and reasons that complete the proof are:

4. ∠SPQ ≅ ∠TQR [alternate interior angles theorem]

5. ΔPQS ≅ ΔQRT [ASA congruence theorem]

What is the ASA Congruence Theorem?

When two pairs of corresponding angles and one pair of included sides of two triangles are congruent, they are congruent triangles based on the ASA congruence theorem.

We are given the following:

QT ≅ PS [a pair of congruent sides]

∠T ≅ ∠S [a pair of congruent angles]

Thus, since QT is parallel to PS, therefore:

∠SPQ ≅ ∠TQR [alternate interior angles theorem]

Therefore, we can now state that  ΔPQS ≅ ΔQRT based on the ASA congruence theorem.

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Answer:

HOW IS THAT EASY??!?!?!?!?!?

Step-by-step explanation:

The statements and reasons that complete the proof are:

4. ∠SPQ ≅ ∠TQR [alternate interior angles theorem]

5. ΔPQS ≅ ΔQRT [ASA congruence theorem]

What is the ASA Congruence Theorem?

When two pairs of corresponding angles and one pair of included sides of two triangles are congruent, they are congruent triangles based on the ASA congruence theorem.

We are given the following:

QT ≅ PS [a pair of congruent sides]

∠T ≅ ∠S [a pair of congruent angles]

Thus, since QT is parallel to PS, therefore:

∠SPQ ≅ ∠TQR [alternate interior angles theorem]

Therefore, we can now state that  ΔPQS ≅ ΔQRT based on the ASA congruence theorem.

19% of 49 in a decimal

Answers

Answer:

[tex] 19\% \: of \: 49[/tex]

[tex] \frac{19}{100} \times 49[/tex]

[tex]0.19 \times 49[/tex]

[tex]9.13[/tex]

Answer:

39.69

Step-by-step explanation:

A percentage is on a scale of 100 so we divide 19 by 100

that makes 0.19.

Then multiply 49 with 0.19 that makes 9.31 (this is 19% of 49)

49 - 9.31 = 39.69

Can someone help with question 3? I would like to see the working and answer on paper, I’m in a hurry

Answers

Answer:

Step-by-step explanation:

so...

on your new sheet of paper, draw a straight horizonal line label one end Y the other Z ( Y will be your vertex, point of angle )

then on original figure,  use a compass and put the in B and measure to A

on new sheet put the pin in Y and draw an arc ( lightly )

now back to orig and put pin in C and measure up to A

on new put pin onthe line so that when you draw an arc it will bisect the one you did previously. will will create a point . join the point to Y

hope that makes  some sort of sense.

Lila and mick have pets. lila's pet has 6.73 toy bones. mick's pet has 5 times the many toy bones lila has. how many bones does mick's pet have?

Answers

Answer:33.65

Step-by-step explanation:

6.73 x 5= 33.65

A polynomial f(x) has the given zeros of 7-1, and-3

Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form Show all necessary calculations (3 points)

Part B: Divide the polynomial f (x) by (x²-x-2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote (4 points)

Part C: List all locations and types of discontinuities of the function g(x) (3 points)

Answers

The polynomial f(x) in expanded form is [tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]

The polynomial f(x)

The polynomial zeros are given as:

x = 7, x = -1 and x = -3

Rewrite as:

x - 7 = 0, x + 1 = 0 and x + 3 = 0

Multiply the zeros

f(x) = (x - 7)(x + 1)(x + 3)

Expand

[tex]f(x) = (x - 7)(x^2 + 4x + 3)[/tex]

Further, expand

[tex]f(x) = x^3 + 4x^2 - 7x^2 + 3x - 28x - 21[/tex]

Evaluate

[tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]

Hence, the polynomial f(x) in expanded form is [tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]

Rational function g(x)

We have:

[tex]g(x) = \frac{f(x)}{x^2 - x- 2}[/tex]

This gives

[tex]g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}[/tex]

Expand the numerator

[tex]g(x) = \frac{x^3 - x^2 - 2x^2 - 2x + 2x - 25x + 4 - 25}{x^2 - x - 2}[/tex]

Rewrite as:

[tex]g(x) = \frac{x^3 - x^2 - 2x - 2x^2 + 2x + 4 - 25x - 25}{x^2 - x - 2}[/tex]

Factorize

[tex]g(x) = \frac{(x - 2)(x^2 - x- 2) - 25x - 25}{x^2 - x- 2}[/tex]

Evaluate the quotient

[tex]g(x) = x - 2 - \frac{25x + 25}{x^2 - x- 2}[/tex]

The slant asymptote is the quotient i.e. x - 2

Hence, the slant asymptote of the function g(x) is x - 2

The discontinuities of g(x)

In (b), we have:

[tex]g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}[/tex]

Set the denominator to 0

[tex]x^2 - x - 2 = 0[/tex]

Expand

[tex]x^2 + x - 2x - 2 = 0[/tex]

Factorize

x(x + 1) - 2(x + 1) = 0

Factor our x + 1

(x - 2)(x + 1) = 0

Solve for x

x = 2 or x = -1

2 is greater than -1.

So, the discontinuities and their types are:

Essential discontinuity at x = 2Removable discontinuity at x = -1

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3. Find the value of √99225. Hence find the sum of √992.25 and √9.9225.

Answers

Step-by-step explanation:

The square root of √9.9225. is 315.

See the decimal places

therefore S,Q,R,T of 9.9225 is 31.5 and 9.9225 is 3.15.

Hence the sum, is (31.5+3.15)= 34.65.

Answer- Value- 315

Sum-34.65

If you can can i get a brain list i don't ever get them

The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?

Answers

The true statement is the circle has the radius equal to 7.

What is Equation of circle?

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

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Find y
y
A.4
B. 4√2
C. 8
D. 2√2
X
30°
4√3

Answers

Step-by-step explanation:

z = 4√3

y = ?

Z° = 90° - 30° = 60°

Y° = 30°

• Find y.

y/sin(Y) = z/sin(Z)

y/sin(30°) = 4√3/sin(60°)

y/(1/2) = 4√3/(1/2 √3)

y . 1/2 √3 = 4√3 . 1/2

y . 1/2 √3 = 2√3

y = 2√3 . 2/√3

y = 4√3/√3

y = 4

The answer is A.

Jocelyn is training for a race by running several miles each day. she tracks her progress by recording her average speed in minutes per mile for each day since she started training. based on the information given, what could jocelyn expect to have for her average speed on the 9th day?

Answers

Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

Researching the problem on the internet, the values of x and y are given as follows:

Values of x: 1, 2, 3, 4, 5, 6.Values of y: 8.2, 8.1, 7.5, 7.8, 7.4, 7.5.

Hence, using a calculator, the equation for the average minutes per mile after t days is given by:

V(t) = -0.15143t + 8.28

Hence, for the 9th day, t = 9, hence the estimate is:

V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.

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how many nonisomorphic spanning trees does each of these simple graphs have

Answers

The characteristics of a nonisomorphic spanning tree are:

One would have 3 vertices of degree 2 and 2 of degree 1, Another spanning tree would have one vertex of degree three, The third spanning tree would have one vertex of degree four.4

What is Nonisomorphic?

This refers to the quality of a group of things not having the same form and is popularly used in mathematics to show and make identifications of maths objects that are structurally well-defined.

Hence, we can see that your question is incomplete so I gave you a general overview of the topic for better understanding.

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A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?

I need some help on this one, anyone know?

Answers

The number of combinations will be 6 for even numbers.

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?

The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.

The even numbers are 0,2,4.

The combinations will be given by:-

C = 3!

C = 3 x 2 x1

C = 6

Therefore the number of combinations will be 6 for even numbers.

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Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k=______.

Answers

Answer:

5

Step-by-step explanation:

Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))

g(0) = 3

g(0) = f(0) + k

3 = -2 + k

5 = k

In your math class, there are 8 boys and 11
girls. What is the ratio of boys to total
students?

Answers

Answer: 8 : 19

Step-by-Step Explanation:

No. Of Boys = 8
No. Of Girls = 11
Total No. Of Students = 19

Ratio of Boys to Total Students
= 8/19
=> 8 : 19

Answer: 8:19 ✅

Step-by-step explanation:

Hii, let me help you out! ^^

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

⚜ Part 1 - #of Students ⚜

First we should find the total number of students. This can be done by adding the number of boys in this particular math class plus the number of girls in that same class. This is shown below.

[tex]\boldsymbol{Number\;of\,students=\quad Number\;of\;Girls+\;Number\;of\;boys}[/tex]

The number of girls is 11, and the number of boys is 8. Now, it's just a matter of sticking in the known values.

[tex]\multimap\quad \tt 8+11=19\;Students[/tex]

[tex]\large\text{Part 1 is Successfully Completed!}[/tex]

⚜Part 2 - Ratio ⚜

Let's set up a ratio of boys to the total number of students.

This is shown below:

[tex]\boldsymbol{Boys:Total\:\#\;of\;students}[/tex]

Once again, this is simply a matter of sticking in the known values.

[tex]\multimap\quad \tt 8:19[/tex]

[tex]\large\text{Part 2 is Successfully Completed!}[/tex]

What's more, we found the ratio, which is what we needed! (:

Voila! There's our answer, cheers! (:

____________________________________

Hope I helped! Best wishes.

Reach far. Aim high, Dream big.

[tex]\underbrace[/tex]

Girl runs across Across a rectangle field diagonal covering a distance of 120m if the length of the field is 100m calculate the width of the field to the nearest metre

Answers

Answer:

66m

Step-by-step explanation:

Answer:

66 m

Step-by-step explanation:

ok so if you think about it, when she runs diagonal she's creating a triangle where she is running along the hypotenuse. we can now use the Pythagorean Theorem a^2 + b^2 = c^2 to solve for the other side with two of them being known.

plug values in

100^2 + w^2 = 120^2

square known values

10,000 = w^2 = 14,400

subtract 10,000 from both sides

w^2 = 4400

take the square root

w = 66 (rounded to the nearest whole number)

How do you find what exponents of i are? like I know i^2 is -1, but how are you supposed to figure out i^26? do you have to write it all out?

THANK YOU

Answers

Answer:

-1

Step-by-step explanation:

so "i" is the square root of -1 (√-1). We know that i² = (√-1)², and that when we square a square root we end back up with whatever is inside of the square root.

This is why i² = -1

We can find a pattern from writing out a few exponents:

i¹ = i

i² = -1

i³ = -i  [(-1)(i)]

i⁴ = 1  [-1 · -1]

------

i⁵ = i  [(1)(i)]

i⁶ = -1 [(i)(i)]

i⁷ = -i [(-1)(i)]

i⁸ = 1 [(-i)(i)= -(i²)= -(-1) = 1]

------

i⁹ = i [1 · i]

we can see that the pattern of i repeats every 4 numbers, so by dividing 26 by 4 (and finding the remainder), we can figure out which step of the pattern we are on

26 / 4 = 6 [remainder of 2]

we know that there is a remainder of 2, meaning that we are on the "second step" in the pattern: -1

you can do the same thing for any number

hope this helps!!

Answer:

-1

Step-by-step explanation:

4 goes into 26 6 times, and then there's 2 remainder, so it's the same thing as i², which is -1

hope this is helpful :)

there are 48 students on the school bus, 28 girls and 20 boys. what is the ratio to girls to boys on the school bus?


A. 5:7
B. 7:5
C. 3:4

Answers

Answer:

eather a 5:7 or c 3:4

Step-by-step explanation:

i rlly do hope this helps and good luck

Answer: B) 7:5

Step-by-Step Solution:

No. Of Boys = 20
No. Of Girls = 28
Total No. Of Students = 48

Ratio of Girls to Boys
= 28/20
= 14/10
= 7/5
=> 7:5

Correct Option is C) 7:5

Please help! Both questions are in the photo. Thank you so much!

Answers

The probability that a 4 shows up is 0.20 and the proportion of 3's rolled is 0.467

The probability that a 4 shows up

From the list of numbers, we have:

Sides = 5 i.e. numbers 1 to 5n(4) = 1 i.e. sides labelled 4

The probability that a 4 shows up is then calculated as:

P = n(4)/Sides

This gives

P = 1/5

Evaluate

P = 0.2

The proportion of 3's rolled

In the list of numbers, we have:

Total = 15Number of 3's = 7

The proportion of 3's rolled is then calculated as:

P = Number of 3's/Total

This gives

P = 7/15

Evaluate

P = 0.467

Hence, the proportion of 3's rolled is 0.467

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simplify x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y²​

Answers

Answer:

x-2y/x

Step-by-step explanation:

x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x

The shorter leg of a right triangle is 5cm shorter than the longer leg. The hypotenuse is 5cm longer than the longer leg. Find the side lengths of the triangle.

Answers

Answer:

15, 20, 25

Step-by-step explanation:

added in the picture

4. Find the area:
23 m
5 m
379m²
389m²
74m²
5 m
18 m
6 m

Answers

Answer: 379 meters squared

Step-by-step explanation:

Hello!

So, to calculate this area, we need to split it into 3 squares.

You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.

Area of a square (in this case rectangle) = Lenght multiplied by width

We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.

The first square will be the big one:

To get the length of the big square, we need to subtract 5 from 23.

Length of big square = 18 meters

And the width is also 18 meters

Area of the big square = 18 * 18 = 324 meters squared

Now, let's calculate the top left square's area.

That will be 5 meters * 5 meters.

Area of top left square = 25 meters squared.

Top right square's area = 6 meters * 5 meters.

Area of top right square = 30 meters squared

Now, we just gotta add them all up:

324 + 25 + 30 meters squared = 379 meters squared

Hope I Helped!

A face of a suitcase measures 24 inches long and 18 inches wide. what is the diagonal length of the face?
30 in.
25 in.
20 in.
15 in.

Answers

I think the answer is 90in.

In a case whereby the face of a suitcase measures 24 inches long and 18 inches wide the diagonal length of the face is 30 in.

How can the diagonal length be calculated?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

The suitcase measures 24 inches long and 18 inches wide

Using Pythagoras theorem,

The diagonal =[tex]\sqrt{18^{2} + 24^{2} }[/tex]

= [tex]\sqrt{900}[/tex]

=30 in.

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Which triangles are similar to ABC

Answers

Answer:

DEF

Step-by-step explanation:

it is mathematically similar as the sides have a scale factor of 4

Can someone check if my equation is correct? Thank you so much!

Answers

Answer:

yes your eqation is correct...

Which of the following statements is false?

Answers

In quadrilateral PQRS, ∠P and ∠S are opposite angles.

1+1= 2+1= 3+1= 4 so that is the answer to this difficult sum

Answers

Answer:

2 = 3 = 4 = 4

3.) Let t= the number of tomatoes Tye planted last year.
This year she planted 3 times as many. Write an
algebraic expression to show how many tomatoes Tye
planted this year.

Answers

Answer:

3t

Step-by-step explanation:

The algebraic expression to show the number of tomatoes Tye planted this year is 3t

How to write the algebraic expression of Tye?

From the first statement given in the question, we were told that:

t is the number of tomatoes Tye planted last year

From the above statement, we can write the algebraic expression to show the number of tomatoes Tye planted this year. This is shown below:

Number of tomatoes planted last year = tNumber of tomatoes planted this year =?

Number of tomatoes planted this year = 3 × Number of tomatoes planted last year

= 3t

Thus, from the above illustration we can say that the algebraic expression is 3t

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What is the rate of change according to the table below?
x
3
4
5
6
y
21
28
35
42

Answers

Answer:

lets make this like a table

x   y

3=21

4=28

5=35

so since y is bigger lets divide that by x

21/3=7

so the rate of change is 7

Hope This Helps!!!

The time series pattern that reflects a gradual shift or movement to a relatively higher or lower level over a longer time period is called the _____.

Answers

Answer:

Trend pattern

Select the correct answer.
The radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. Which equation can be used
to find the minimum and maximum radil accepted? (Assume rrepresents the actual radius of any given ball bearing.)
OA /r-1.25/= 0.1
OB. 11.25r-1.25/= 0.1
OC. /r-0.1/= 1.25
OD. /r-0.1r/= 1.25

Answers

The absolute value equation that can be used to find the minimum and maximum radius accepted is:

A. |r - 1.25| = 0.1.

What is the absolute value?

The absolute value function is defined as follows:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

It measures the distance of a point x to the origin.

In this problem, the absolute value of the difference between the radius and 1.25 cm must be of 0.1 to find the thresholds, hence the equation is:

A. |r - 1.25| = 0.1.

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Find the area of the following region.
The region common to the circles r=-2sin(theta) and r=1

Answers

The area of the region common to both circles is -6.67 square units

How to find the area common to both circles?

Since r = -2sinθ and r = 1, we find their points of intersection.

So, r = r

-2sinθ = 1

sinθ = -1/2

θ = sin⁻¹(-1/2)

θ = 7π/6

So, the circles intersect at (1,  7π/6)

To find the area of the region common to both circles, we integrate from r = 0 to r = 1 and θ = 0 to θ = 7π/6

[tex]A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {r - r}) \, dr \,d\alpha \\A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {-2sin\alpha - 1}) \, dr \,d\alpha \\A = -\int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0 {2sin\alpha \, dr \,d\alpha - \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _01} \, dr \,d\alpha \\A = 2[cos\alpha]_{0} ^{\frac{7\pi }{6} } [r]_{0} ^{1} r - [r]_{0} ^{1}} [\alpha ]_{0} ^{\frac{7\pi }{6}}} \\[/tex]

[tex]A = 2[cos{\frac{7\pi }{6} - cos0] [1 - 0] - ([1 - 0][\frac{7\pi }{6} - 0]\\[/tex]

A = 2(-¹/₂ - 1) - (1 × 7π/6)

A = 2(-3/2) - 7π/6

A = -3 - 7π/6

A = (-18 - 7π)/6

A = (-18 - 21.99)/6

A = -39.99/6

A = -6.67 square units

So, the area of the region common to both circles is -6.67 square units

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what does this texture indicate about the formation of this rock? What was Anne Franks moving day like? Why might Hermann Hesse have written Siddhartha?to make readers reject Buddhismto make readers believe in Buddhismto decide whether he was a Hindu or a Buddhistto investigate ideas found in Hinduism and Buddhism A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years? which of the following lacks sufficient penetrating power for bulk sterilization? a. ultraviolet (uv) radiation at 260 nm.b. x rays.c. gamma radiation.d. alpha and beta particles. In the expansion of (3a + 4b)^8, which of the following are possible variable terms? a2b3; a7b; ab8; b8; a4b4; a6b2; a3b4; a8i dont get this can someone please explain As a senior prefect write a letter to your principal stating at least two habit that should be discourage among students and two things that should be promoted among teachers During a sales presentation, your client asks you whether the medicare agency recommends that she sign up for your plan or stay in original medicare. What should you tell her? question in the picture let me know please & thank you How did both participating in the North Atlantic Treaty Organization and joining the United Nations represent a shift in US foreign policy? Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. this is correct?? match the code name for the important world war 2 battle I. The picture that is titled Immunity tells the story about how the body protects us from many toxins, bacteria and cancer cells. Please tell the Immunity Story in your own words. I NEED HELP IM CONFUSED!!!!!!!!!!!!!!!!!!!!!!!!!! Why does the Supreme Court assert this fact?O to highlight the idea that a child's potential can be measuredO to illustrate how desegregation will be implementedO to highlight the significance of equal access to education toO to illustratethe importance of high academic standards What would be the effect of adding a proton to a nucleus?A. It would increase the strong nuclear force and increase theelectrostatic force.B. It would decrease the strong nuclear force and decrease theelectrostatic force.C. It would increase the strong nuclear force and decrease theelectrostatic force.D. It would decrease the strong nuclear force and increase theelectrostatic force. What should you do before creating a research question for a presentation? Check all that apply. create an outline to organize my ideas pick the right font for any text that is included review the topic and what the prompt asks for think of an argument or an opinion if necessary consider what I know and what I need to know choose visuals to include with the presentation Peter's garden is in the shape of a rectangle whose width is 15 inches and length is twice the width. Find the area of the garden. What is the value of the expression (-5)-?1. Apply the negative exponents rule:2. Expand the power:3. Simplify:What is the value of x?X=1(-5)1(-5)(-5)(-5)XII What is one example of a contribution emperor Asoka was known for? Religious tolerance The Four Purposes Founding the Hindu religion Reducing the Gupta Empire