Given the equation : 5 + x - 14 = x - 7



Part A. Solve the equation . 5 + x - 14 = x - 7 In your final answer, be sure to state the solution and include all of your work.

Part B. Use the values x = -2, 0, 3 to verify your solution to the equation .5 + x - 14 = x - 7 In your final answer, include all of your calculations.

Answers

Answer 1

Well, at first consider the given equation, then will be solving for Part A) and B),

[tex]{:\implies \quad \sf 5+x-14=x-7}[/tex]

Subtracting x from both sides will yield ;

[tex]{:\implies \quad \sf 5-14=-7}[/tex]

[tex]{:\implies \quad \sf -9=-7}[/tex]

But, -9 ≠ -7, so their is no solution for values of x, as -9 can't be equal to -7 , so from definition of algebra, we can say that, their are no solutions for x, as there are no solutions for x, so nothing can be concluded from Part A and Part B

Answer 2

Answer:

Part A: -9 ≠ -7

no solution

Part B: below for the answers

Step-by-step explanation:

Part A: 5 + x - 14 = x - 7

subtract x on both sides

x - 5 + x - 14 = x - 7 - x

then, we take away the x's

5 - 14 = -7

-9 ≠ -7

there is no solution

Part B: 5 + -2 - 14 = -2 - 7

-11 ≠ -9

5 + 0 - 14 = 0 - 7

-9 ≠ -7

5 + 3 - 14 = 3 - 7

-6 ≠ -4


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Umberto bought a car for 28,000 the car is depreciating ata rate of 9% per year what wil be the approximent value of the car after 5 years

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[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=28000(1 - 0.09)^{5}\implies A=28000(0.91)^5\implies A\approx 17472.90[/tex]

Latoya drove 585 miles in 9 hours. At the same rate, how many miles would she drive in 13 hours?

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Answer:

845 miles

Step-by-step explanation:

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please help me I will give BRAINLY , 5 STARS and a THANKS

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Answer:

2, 4, 8

Step-by-step explanation:

Well, it says Max put $1 on the first day(which is already entered for you), then it says that he put in $2 on the second day. Then it says that he doubles how much he puts in each day after, which just means to multiply the last entered amount by 2. So, he put in 2 x 2 = $4 on the third day, and lastly, 4 x 2 = $8 on the fourth day.

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Answers

the one above, (-6,8)

Answer:

(-6,8)

Step-by-step explanation:

WILL GIVE BRAINLIESTTT, FIVE STARS, AND THANKS
can someone explain this to me and what the question means and is asking?

Answers

The x-intercepts represent when the ball is at height=0

In other words, it shows when the ball hits the ground.

Can someone help me solve this problem? 100-[5×(3+4)]​

Answers

solve the first bracket first (3+4)
so you have 100-[5x7]
then you do the next bracket [5x7]
so you have 100-35
100-35=65
:)

Answer:

65

Step-by-step explanation:

Use PEDMAS

P - Parenthesis ; E - exponents ; D -division ; M - mulitplication ;

A - Addition ;  S- subtraction.

First do the operation in the inner most parenthesis.

100 - [ 5 *(3 + 4)] = 100 - [ 5* 7 ]   {Now the outer parenthesis}

                             = 100 - 35

                             =  65

Find an equation for the line that passes through the points (6, -1) and (-6, 2).

Answers

Answer:

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

Step-by-step explanation:

let D be the line that passes through the points (6, -1) and (-6, 2)

Then D has an equation of the form D: y = ax + b

Now we need to find a and b in order to be able to write the equation of the line D:

[tex]a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}[/tex]

Since the point (6 , -1) lies on the line D then :

-1 = (-1/4) × (6) + b

then

-1 = (-6/4) + b

then 

b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2

then

b = 1/2

Conclusion:

Since a = -1/4 and b = 1/2 then

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

line A is perpendicular to line B. if the slope of line A is -5/3, what is the slope of line B?

Answers

Answer: 3/5

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

Pls Pls help!! It's due soon!!

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Answer:

-2,4

Step-by-step explanation:

to do a reflection across the y axis, apply -x,y to your coordinates

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Answer:

multiply base area by 2 , and add the base perimiter and height

Step-by-step explanation:

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I need to put this equation into standard form help please!
-4.9t²+7.5t+1.8=21

Answers

This equation into standard form is about 20.5
Answer:

20.5 yeah :)

"HABANG BUHAY SONG"

A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?​

Answers

Step-by-step explanation:

-0.7n = -1/2

-0.7n = -0.5

n = 0.5/0.7

n = 0.715

0.21 Divided by 7 I would like to know how to solve the equation

Answers

Answer:

0.03

Step-by-step explanation:

[tex] \frac{0.21}{7} [/tex]

==>

[tex] \frac{0.21 \times 100}{7 \times 100} [/tex]

===>

[tex] \frac{21}{7} \times \frac{1}{100} [/tex]

==>

[tex]3 \times \frac{1}{100} [/tex]

==>

[tex] \frac{3}{100} [/tex]

==>

[tex]0.03[/tex]

Determine the amplitude or period as requested.

Period of y = negative one-third sine 2 x
a.
Negative one-third
b.
StartFraction pi Over 3 EndFraction
c.
One-third
d.
Pi

Answers

C. One- third. Plato!!

The time period of the given function will be π.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

y = (-1/3)sin(2x)

We have -

y = (-1/3)sin(2x)

We can write -

ωx = 2x

Now -

ω = 2π/T

(2π/T)x = 2x

2π/T = 2

T = 2π/2

T = π

Therefore, the time period of the given function will be π.

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Madden needs to choose an object for his math project that shows volume. He has a choice between a container for catching bugs and a poster from his favorite movie. Which item should Madden choose and why?

Answers

Answer:

container for catching bugs because posters have nothing to do with volume

Answer:

I think Madden should go for the poster because poster have more angles as well as width length and height.

Step-by-step explanation:

Brainliest??????

Harry takes medicine every day. If the dosage is 0.2 of a gram per day, what is the total amount of medicine he consumes in a week?

Answers

Answer:

1.4 grams of medison for thr whole week combinded

Answer:

1.4 g

Step-by-step explanation:

0.2 gram per day x 7 days = 1.4 g total consumed in a week

What is b if a=2x and c= 8x on a right triangle

Answers

B is 5.625

A=2x

C=8x

5.625x2(x)*8(x)=90

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A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway

has a uniform width, and the area covered by the garden and the walkway is

192 square feet. What is the width of the walkway?

A. 2 feet

B. 3. 5 feet

C. 4 feet

D. 6 feet

Answers

By solving a quadratic equation, we will see that the width of the walkway is 3ft.

How to get the width of the walkway?

Remember that for a rectangle of length L and width W, the area is:

A = W*L

Now, we know that for our garden we have:

W = 8ft

L = 12ft

If we add a walkway of width x around the garden, then the new measures are:

W' = 8ft + 2x

L' = 12ft + 2x

So the area is:

A' = ( 8ft + 2x)*( 12ft + 2x)

And we know that it is equal to 192 ft^2, then:

192 ft^2 = ( 8ft + 2x)*( 12ft + 2x)

Now we can solve this for x.

192ft^2 = 96ft^2 + 4x^2 + 20ft*x

0 = 96ft^2 - 192ft^2 + 20ft*x + 4x^2

0 = -96ft^2 + 20ft*x + 4x^2

This is a quadratic equation, and the solutions are given by the Bhaskara's formula:

[tex]x = \frac{-20ft \pm \sqrt{(20ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-20ft \pm 44ft}{8}[/tex]

We only take the positive solution, so we get:

x = (-20ft + 44ft)/8 = 3ft

So the width of the walkway is 3ft.

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How to solve (3x)^0 for applying the exponent rule for zero exponents

Answers

Any 0 power or exponent is equals to 1
So the answer is 1

What is 3^2, 5^3, and 9^2? I need some test help.

Answers

Answer:

3^2=9 5^3=125 9^2=81

Step-by-step explanation:

exponent is just multiplying the base by itself however we many times the exponent's (the small number on the top right of the base) value is

base-->5^3<--exponent

3^2=3×3=9

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9^2=9×9=81

example

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An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the designer wants it to have the shape of a hemisphere. Is such a design possible given that the plot of land on which it will be built is a rectangle 90 feet wide and 100 feet long?

Answers

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

Can this atrium be built in the rectangular plot of land?

The atrium with the maximum allowable radius (R), in feet, is represented in the image attached. The real atrium is possible if and only if the real radius (r) is less than the maximum allowable radius and therefore, the real volume (V), in cubic feet, must be less than than maximum possible volume (V'), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. [tex]\blacksquare[/tex]

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help me I need to make sure I got the correct answer.

Answers

Answer:

I dont know pls ask you parents...

Step-by-step explanation:

I dont know

Need help
read the question first

Answers

Answer:

  A. horizontal velocity is constant at 25 m/s in every interval

  B. downward velocity increases by 9.8 m/s each second, to 19.6 m/s, 29.4 m/s, 39.2 m/s, 49.0 m/s

Step-by-step explanation:

A.

Since the ball is not rocket-powered, it has no acceleration in the horizontal direction. (We ignore slowing due to air friction.) The horizontal velocity remains constant at 25 m/s.

__

B.

The vertical acceleration is given as 9.8 m/s² in the downward direction. That is, each second the ball is in motion, its velocity downward increases by 9.8 m/s. The table can be filled with ...

  t = 2 s, v = -19.6 m/s

  t = 3 s, v = -29.4 m/s

  t = 4 s, v = -39.2 m/s

  t = 5 s, v = -49.0 m/s

__

The sign is negative because the direction is downward. Positive is up.

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Answers

The volume of the whole object is 12.


If you split the object in two, the top rectangle and the bottom, then you can calculate both the volumes and add them together. The top part is 1*2*2=4, the bottom is 4*2*1=8, 8+4=12.

Ps. The star (*) is a multiplication symbol.

Please I Need Help 20pts



To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $9.80 per hour. The math club wants to spend at most $117.40 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answers

Answer:

0 < t ≤ 8  (in hours)

Up to (and including) 8 hours

Step-by-step explanation:

Let t = number of hours the room is rented

Given:

Reservation fee = $39Fee per hour = $9.80Maximum total cost = $117.40

Create an equation using the given information and solve for t:

⇒ 39 + 9.8t ≤ 117.4

Subtract 39 from both sides:

⇒ 9.8t ≤ 78.4

Divide both sides by 9.8

⇒ t ≤ 8

Therefore, the possible amounts of time for which they could rent the meeting room is 0 < t ≤ 8  (in hours)

Answer:

8 is the very maximum number of hours the room can be rented. As long as 8 is not exceeded, the room is rentable for what money the math club has.

Step-by-step explanation:

Givens

Maximum payment = 117.40Cost per hour = 9.80Fixed charge = 39 dollars

Formula

payment ≥ 39 + 9.80*t                where t is in hours.

Solution

117.40 ≥ 39 + 9.80*t                      Subtract 39 from both sides.

117.40 - 39 ≥9.80*t

78.40 ≥ 9.80*t                               Divide by 9.8

78.40/9.80 ≥ 9.80*t/9.80

8 ≥ t    

Answer t≥ 8

$6.62 for 2 pounds of tomato’s

Answers

Answer:

$3.31 for each

Step-by-step explanation:

$6.62 divided by 2 = $3.31

Answer:

$6.62 divided by 2= $3.31

Step-by-step explanation:

What your going to do is divide 6 by 2 = 3

Next divided 62 by 2 = 32

Easy =)

Have a great day/night

A car can travel 294 kilometers on 21 liters of gasoline. How much gasoline will it need to go 42 kilometers?

Answers

Answer:

7

Step-by-step explanation:

The variables a, b, and c represent polynomials where a = x2, b = 3x 2, and c = x – 3. what is ab – c2 in simplest form? 3x3 2x2 – x 3 3x3 2x2 – x – 3 3x3 x2 – 6x 9 3x3 x2 6x – 9

Answers

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

We have given that,

a = x^2,

b = 3x + 2,

c = x – 3

We have to determine ab- c^2.

What is the meaning of the simplest form?

A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.

ab- c^2

[tex]=x^2(3x+2) - (x-3)^2\\ =3x^3 + 2x^2 - (x^2 - 6x + 9) \\=3x^3 + 2x^2 - x^2 + 6x - 9 \\=3x^3 + x^2 + 6x - 9\\[/tex]

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

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Fill in the missing numbers

Answers

Answer:

(x - 4)

Step-by-step explanation:

x² - x - 12

to factor consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 1)

the factors are + 3 and - 4 , since

3 × - 4 = - 12 and + 3 - 4 = - 1 , then

x² - x - 12 = (x + 3)(x - 4) ← in factored form

9(3+x)=4(3+x)
Answer with steps

Answers

Answer:

x = 2.5

Step-by-step explanation:

Expand the brackets[tex]27+9x=12+3x[/tex]Subtract 3x from both sides[tex]27+6x=12[/tex]Subtract 27 from both sides[tex]6x=-15[/tex]Divide both sides by 6[tex]x=2.5[/tex]

Answer:

x = -3

Step-by-step explanation:

9(3+x) = 4(3+x)

9(3+x) - 4(3+x) = 0

(9-4)(3+x) = 0

5(3+x) = 0

15+5x = 0

-15 = 5x

x = -3

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