bonsoir,je n'arrive pas a calculer : (1+√2)² pouvez vous m'aider svp ?

The graph of the function f(x) = x³ – 2x² – 19x + 20 passes through the  x-axis at  –4, 1, and 5.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given as

f(x) = x³ – 2x² – 19x + 20

By hit and trial. Let x = 1, we have

f(x) = 1³ – 2(1)² – 19(1) + 20 = 0

Then the equation will be

f(x) = (x – 1)(x² – x – 20)

f(x) = (x – 1)(x – 5)(x + 4)

Then the graph of the function passes through x-axis at  –4, 1, and 5.

The graph is shown below.

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Rounding off is basically a approximate value written in compact form for our convenience when precise  accurate result is not that necessary.

A decimal is a point or a dot separating the whole part and the fractional part of the number.Now rounding off numbers to certain decimal places has a condition if the digits just after the decimal is more than half we take the upper value if itis less than half we take the lower value.

Given in this question let's go by rounding off from 1 place to 4 for better understanding.

rounding off 24513589 to one decimal place = 2451359.0

rounding off 2451359.0 to one decimal place = 245136.0

rounding off 245136.0 to one decimal place = 24514.0

rounding off 24514.0 to one decimal place  = 2451.0

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Answer:

Step-by-step explanation:

-[tex]-\frac{1}{5} (x-25)=7\\x-25=7 \times -5\\x-25=-35\\x=-35+25\\x=-10[/tex]

Answer:

(x+1) ( x+(1/2))

Step-by-step explanation:

6x² +9x +3  , divide all terms by 6 to have the first term with coefficient 1

x² + (9/6)x + (3/6) , simplify the fractions

x² + (3/2)x + (1/2)

To get x² the first term we should have

(x.....)(x.....)

To get the last term (1/2) we should have

(x...1)(x...(1/2))

To get the middle term (3/2)x we should have

+1*x +(1/2)  x = (2/2)x +(1/2)x = (3/2)x

(x+1) ( x+(1/2))

Answer:

the answer is log3 (2x+8)=log3 x²

Step-by-step explanation:

log3(2x^4+8x^3)-3log3x=2log3x

simplifying the above we get:

log3(2x^4+8x^3)=2log3x+3log3x

log3(2x^4+8x^3)=5log2x

Hence the answer should be:

log3 (x³)*(log3(2x+8))=5log3 x

3log3 x+log3(2x+8)=5log3 x

log3(2x+8)=5log3 x-3log3 x

log3 (2x+8)=2log3 x

log3 (2x+8)=log3 x²

Step-by-step explanation:

Make sure to see the photo I tried to explain every part there

The value of c that makes the equation true is: c = -13/21.

An equation is a mathematical statement whose values on the right and left sides are equal.

Given:

c + 15 = 23c + 2 − 43c

Find the value of c

c + 15 = -20c + 2

c + 20c = -15 + 2

21c = -13

c = -13/21

Thus, the value of c that makes the equation true is: c = -13/21.

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The value of c which makes the equation c + 15 = 23c + 2 − 43c true is –13/21

c + 15 = 23c + 2 − 43c

The value of c in the expression above can be obtained as illustrated below:

c + 15 = 23c + 2 − 43c

Collect like terms

c – 23c + 43c = 2 − 15

21c = –13

Divide both side by 21

c = –13/21

Thus, from the calculation made above, we can conclude that the value of c which makes the equation true is –13/21

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Answer:

482.56667

Step-by-step explanation:

Have a great day hope it helps:)

Answer:

A. x=4

Step-by-step explanation:

The y-axis is a vertical line at x=0, so for a line to be parallel to x=0, x must equal another constant. Option A is the only option that has a constant.

Answer:

2

Step-by-step explanation:

f(-1) = (-1)² + 3 = 1 + 3 = 4

f(3) = 3² + 3 = 9 + 3 = 12

average rate of change= [ f(3) - f(-1) ] ÷ [ 3-(-1) ] =

(12-4)÷(4) = 8÷4 = 2

the average rate of change is the slope of the drawn green line .

Answer:

17 chairs in 30 minutes

Step-by-step explanation:

272/8 = 34

34/2 = 17

17 there ya go

Answer:

you move the decimal 2 spaces

Step-by-step explanation:

So, the decimal is at the end of a number right? You move the end decimal two spaces to the right.

Example: make 2 into a percentage

2.00

----->two spaces

So, 2 = 200%

HOPE THIS HELPS

Answer:

Really simple!

All you have to do is take the decimal form of the number and multiply it by 100 and then add the percent sign

Step-by-step explanation:

Example 1: 10

Decimal form: 0.10

Convert it into a percent: 0.10 * 100 =10%

Example 2: 67.5

Decimal Point: 0.675

Convert it into a percent: 0.675 * 100 =67.5%

Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.2,400 pounds 240 pounds 200 pounds 20 pounds.

Answer:

Step-by-step explanation:

Find the unit rate for both the deals.

$20 for 5 shirts

Cost of one shirt = 20 ÷ 5 = $ 4

$24 for 8 shirts

Cost of 1 shirt = 24 ÷ 8 = 3

⇒ 8 shirts for $ 24 is the better deal

x < 22.5; Samuel has less than 22.5 minutes to finish the race in the estimated time.

The given inequality is-

[tex]10x < 33[/tex]

From here, we define the variable x.

x = Number of the minutes left for the race

From here we can find the value of x

We have then:

[tex]x < 33-10.5[/tex]

[tex]x < 22.5[/tex]

Hence, Samuel has less than 22.5 minutes to finish the race in the estimated time.

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Answer:

24 degrees

Step-by-step explanation:

total degrees in a triangle is equal to 180 degrees.

180 - 132 = 48

since there are two unknown angles, we have 48 by 2 which is 24.

48/2=24 degrees

Answer:

[tex]\huge\boxed{\sf{x=24}}[/tex]

Step-by-step explanation:

Hello.

The sum of all three angles in a triangle = 180 degrees

Now, what is the value of x?

The 2 sides of the triangle are equal, thus, the angles are equal.

Write the equation

x+x+132=180

Combine like terms

2x+132=180

Subtract 132 from both sides

2x+132-132=180-132

2x=180-132

2x=48

Divide both sides by 2

x=24

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

huh huh huh huh huh huh huh huh huh

Answer:

1.000

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

Supplementary means that the two angles that are supplementary equal 180 degrees. 180-m<2=m<1

180-92=88 (m<2=92)

m<1=88

m<1=4x

4x=88

x=22

Answer:

Between 2 1/2 and 3 ounces

Step-by-step explanation:

Since 1/3 is lower than 3/4, 5 1/3 - 2 3/4 must be lower than 3, but higher than 2.

So, we can eliminate C and D.

A's range is too small, so we can select B.

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

Given the following inequality expression

y>0

y< 2.5x - 1

Wee are to check if (1, 1) is a solution to the systen of equation

If x = 1

y < 2.5(1) - 1

Y < 2.5 - 1

y < 1.5

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

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Answer:

a) 16

b) [tex]2^{4}[/tex]

c) [tex]16*8=128[/tex]

d)  [tex]2^7[/tex]

e) [tex]2^5*2^1=64=2^6[/tex]

f) [tex]2^8[/tex]

Answer: g(x) is shifted 3 units right and 9 units up.

Step-by-step explanation:

Answer:

B. g(x) is shifted 3 units right and 9 units up

Step-by-step explanation:

If the equation is -51u and u = 0,

then -51 (0) = 0

Hope that helps!

Answer:

0.23

0.569

1.03

0.0009 i think

Step-by-step explanation:

umm when you convert to decimal you move the decimal point two times to the left i think

Answer:

Step-by-step explanation:

So for question 1, we can see that we have a 30 60 90 triangle with a hypotenuse of 9.

So therefore, y=9/2 and x=4.5sqrt3.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

let's simply the expression ~

[tex]\qquad \sf  \dashrightarrow \: 10( - 8x + 7) - 9x[/tex]

[tex]\qquad \sf  \dashrightarrow \: (- 80x + 70 )- 9x[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 80x - 9x + 70[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 89x + 70[/tex]

Hope it helps ~

Answer:

less

Step-by-step explanation:

Answer:

Step-by-step explanation:

you are correct.

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.

Then the radius (r) is 9 inches and the angle is 120°.

We know that the area of the sector is given by

[tex]\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi[/tex]

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

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