F(x) 832-8 9 find f-1(2). 2

Prove that for any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Pachacha [2.7K]

For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Step-by-step explanation:

In order to prove the statement we can take any value of x and then solve the expression to see if it equal to -16 or not.

So,

Taking x = 2

$=(x-3)(x+7)-(x+5)(x-1)\\=(2-3)(2+7)-(2+5)(2-1)\\=(-1)(9)-(7)(1)\\=-9-7=-16$

Taking x = 5

$=(x-3)(x+7)-(x+5)(x-1)\\=(5-3)(5+7)-(5+5)(5-1)\\=(2)(12)-(10)(4)\\=24-40\\=-16$

Taking x= 10

$=(x-3)(x+7)-(x+5)(x-1)\\=(10-3)(10+7)-(10+5)(10-1)\\=(7)(17)-(15)(9)\\=119-135=-16$

Hence,

For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Keywords: Polynomials, expressions

Learn more about polynomials at:

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6 0

3 years ago

each unit square of a 3-by-3 unit-square grid is to be colored either blue or red. for each square, either color is equally like

makkiz [27]

The probability of obtaining a grid that does not have a 2-by-2 red square 16 2/3%

probability : The probability of an event can be calculated by means of probability formula via honestly dividing the favorable quantity of outcomes by way of the total variety of viable consequences.

Step-by using-step clarification:

given that:

form are both square or circle with both equally likely :

for this reason,

P(square) = half of ; P(circle) = half of

color are either blue, pink or inexperienced with the 3 equally likely ;

P(purple) = 1/3 ; P(green) = 1/three ; P(blue) = 1/three

chance of creating a inexperienced circle :

independent probability

P(green n circle) = p(inexperienced) * p(circle)

P(green n circle) = 1/3 * half of

P(green n circle) = 1/6

= 0.16666

(0.16666 * 100%) = 16.6666%

= 16 2/3%

To learn more about probability Visit : brainly.com/question/18920335

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3 0

2 years ago

I'm making a great dodecahedron for geometry and I'm failing at putting it together! Any tips?!

Neko [114]

$dodecahedron\ grid\ in\ Annex$

8 0

4 years ago

Read 2 more answers

Mr. Green cuts his lawn every 8 days, while Mrs. Grasse cuts her lawn every 10 days. Suppose they both cut their lawns today. Wh

stich3 [128]

It will be in the next 40 days.

6 0

3 years ago

5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat

frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.

Step-by-step explanation:

First determine the time it will take Daniel to reach the Boat and the jogging time

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged

lets assume Distance to swim = x ( according his sister )

determine the value of x = $\sqrt{400^2 + 1400^2 }$ therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes

Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.

6 0

3 years ago