Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5) x = 0 infinitely many solutions x = -2 no solution

Answer: The equation is not an identity

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Explanation:

We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.

I'll use  c = a+b as a way to help distribute.

[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]

Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.

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Here's another way you can see that we don't have an identity.

Let's say we fixed 'a' to be equal to 1.

That means the equation

[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]

would turn into

[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]

and simplify to

[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]

Now replace b with x and you'll have the two equations to represent the left and right hand sides

[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]

which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.

Side note: you can pick other values for 'a' instead of just 1.

From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.

From the information given, we're told that Yuson must complete 30 hours of community service and that she does 2 hours each day.

Therefore, the linear equation that represents the hours Yuson has left after x days will be represented thus:

y = 30 - (2 × x)

y = 30 - 2x

y = -2x + 30

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[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is B. Vertical

Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .

Answer:

vertical

✌️❤️✌️

......

Answer: Start off and multiply 12x30=360

Step-by-step explanation: He will recieve 360$

Answer:

Hey will you marry me? serious question

Answer:

I dont know your answer

Step-by-step explanation:

Because i dont

Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Answer: 8/19

Step-by-step explanation:

15/19 - 7/19 = 8/19

8/19 cannot be simplified further

[tex]\large\mathcal\red{Answer✓}[/tex]

Ans :- E...

I'm gonna go with answer choice B

The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.

The required proofs are stated below:

                  Statement                                 Reason

1. <SPR ≅ <PRQ                                       Alternate angle property

2. PT ≅ TR                                               Definition of a mid-point

3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex]                           Perpendicular bisector property

4. ST ≅ TQ                                              Mid-point of a segment

5. PQ ≅ SR                                             Opposite side congruent property

6. ΔPQs ≅ ΔQRS                                    Side-Angle-side (SAS) property

7. <PQR ≅ <SPQ                                    Right angle property

8. PQ ≅ QR                                            Congruent consecutive side property

Therefore given that PQ ≅ QR, then the given quadrilateral is a square.

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Answer:

B)

Step-by-step explanation:

10/5 + 4(72 - 6)

10/5 + 288 - 24          Distribute the 4 to 72 and 6

2 + 288 - 24               Divide

2 + 264                       Combine the like terms

262                        

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Answer:

9

Step-by-step explanation:

For each pizza variety, Daniel can choose 18 different toppings. Therefore, for 23 pizza varieties, Daniel can choose from 23 * 18 = 414 different combinations of varieties and toppings.

For each pizza size, Daniel can choose from 414 different combinations of varieties and toppings. Therefore, for n pizza sizes, Daniel can choose from n * 414 = 3726 combinations

414n = 3726

divide both sides by 414 to isolate the n

n = 9

Answer:

14 rides

Step-by-step explanation:

23.50-6= 17.5

17.5/1.25=14

Answer:

3/5

Step-by-step explanation:

Answer:

look it up i need my coins

Step-by-step explanation:

Answer:

630 is 28% of 2250.

Step-by-step explanation:

28 / 100 = .28

2250 X .28 = 630.

Answer:

Step-by-step explanation:

Using DMAS, let's solve.

Conclusion:

Therefore, the answer is:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

(9(4x-1))/2x = 15

simplify the 9(4x-1) = 36x-9

(36x-9)/2x = 15

multiply both sides by 2x to take out the fraction

36x-9 = 15(2x)

36x-9 = 30x

subtract by 30x on both sides, and add 9 on both sides

36x-9-30x = 0

36x-30x = 9

6x = 9

x = 9/6 = 3/2 or 1.5

Answer:

tans=0.8770580193

Step-by-step explanation:

Answer: 36.4 seconds

(Unitary method)

5 meters take 2 seconds

1 meter takes 2/5 seconds

91 meter takes 2/5 * 91 --> 36.4 seconds

The time taken by Andre to run 91 meters is 36.5 seconds.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance travelled by Andre=5 meters in time t=2seconds

Thus Andre's speed = 5/2

                                  =2.5 m/sec

Thus time taken to run 91 m is = 91/2.5

                                                  =36.5 seconds

Hence, The time taken by Andre to run 91 meters is 36.5 seconds.

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#SPJ2

Answer:y=16

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~

Answer:

282.6 cm

Hope it helps:)

Answer:

y is the height and x is the length

Step-by-step explanation:

Remember when you're doing y and x axis y is height and x is length it works like coordinates.

Answer:

Step-by-step explanation:

the answer is 5.76$ , 20% is -1.44$

Answer:

-5/12/ D

Step-by-step explanation:

-9/12 -(-1/3)

turn 1/3 into a fraction with a similar denominator

-9/12-(-4/12)

-(- = addition (+)

-9+4= -5

-5/12

Answer:

6 and -4

Step-by-step explanation:

a + b = 2

a - b = 10

Solve:

from the first eq.

a = 2 - b

replacing this value in the second eq.

(2-b) - b = 10

2 - 2b = 10

-2b = 10 - 2

-2b = 8

b = 8/-2

b = -4

from the second eq.

a - b = 10

a - (-4) = 10

a  + 4 = 10

a = 10 - 4

a = 6

Check:

from the first eq.

6 + (-4) = 2

6 - 4 = 2

Answer:

[tex]f(x)\div g(x)=x-10[/tex]

Step-by-step explanation:

[tex]\frac{x^2-19x+90}{x-9}[/tex]

[tex]\frac{(x-10)(x-9)}{x-9}[/tex]

[tex]x-10[/tex]

Answer:

[tex]f(x)\div g(x)=-10[/tex]

Step-by-step explanation:

Solve [tex]f(x)[/tex]

[tex]f(x)=x^2-19x+90[/tex]

[tex]x^2-19x+90[/tex]

[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]

[tex]\left(x^2-9x\right)+\left(-10x+90\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-9x[/tex]

[tex]=x(x-9)[/tex]

[tex]\mathrm{Factor\:out\:-10\;from}\:\:-10x+90[/tex]

[tex]=-10(x-9)[/tex]

[tex]=x\left(x-9\right)-10\left(x-9\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x-9[/tex]

[tex]\bold{\left(x-9\right)\left(x-10\right)}[/tex]

Solve [tex]g(x)[/tex]

[tex]g(x)=x-9[/tex]

[tex]\bold{x-9}[/tex]

[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]

Now, solve:

[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]

[tex]=\frac{(x-9)\left(x-10)}{:x-9}[/tex]

[tex]= -10[/tex]

Therefore, [tex]f(x)\div g(x)=-10[/tex]