show that P(x)=x³-6x²+11x-6 is divisible by x-1.​

Answer:

4

Step-by-step explanation:

(6^2) -5(6) -2 =4

that is the answer

Step-by-step explanation:

6^2 - 5×6 - 2

= 36 - 30 -2

= 4

Answer:

x = 8

Step-by-step explanation:

1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 12 from both sides.

Step 3: Divide both sides by 21.

Step 4: Check if solution is correct.

Therefore, x = 8.

Answer:

36

Step-by-step explanation:

Answer:

It's 36 ya know

Step-by-step explanation:

60 and 60 so 36 and 36

:)

Answer:

136.8

Step-by-step explanation:

As per DMAS rule, we can divide first or multiply first. I would choose divide first. Then:

4.56 x 3.6/0.12

= 4.56 x 30.

Since I divided first, the next step is to multiply.

4.56 x 30

= 136.8

Since there is no addition or subtraction happening next, the process ends here and the answer is 136.8.

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Please give me brainliest if this was helpful.

The expression value  [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10².

To evaluate the expression [tex]4.56 \times \frac{ 3.6}{0.12}.[/tex]

Find the multiplication of the numerator with 4.56 and then divide it by 0.12.

Perform the multiplication first:

4.56×3.6 = 16.416

Now we divide the result by 0.12:

[tex]\frac{16.416}{0.12} = 136.8[/tex]

To express the answer in standard form, we rewrite it as a number multiplied by a power of 10.

In this case, we move the decimal point two places to the right to obtain a whole number:

136.8=1.368×10²

Therefore, the answer to the expression  [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10²

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Answer:

Solution:

perimeter- 2 + 2 + 2 + 2 = 8

area of square- (length × width) 2 × 2 = 4

Answer:

x²-y² = 40

Step-by-step explanation:

Factorising x²-y²:

x²-y² = (x+y)(x-y)

This is due to the property that states:

a²+b² = (a+b)(a-b)

Substituting the given values into the above equation:

x²-y² = (10)(4)

= 40

Hence, x²-y² = 40

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

x² - y²=40 or 7²-3²=40

Step-by-step explanation:

if x=7 that would make y=3

7+3=10 and 7-3=4

7x7=49

3x3=9

49-9=40

Answer:

3

Step-by-step explanation:

5-(2*8)+14=

Parentheses first

5-16+14=

Then add and subtract from left to right

-11 +14

3

Answer:

HGI = 30

b/ce they are Vertically opposite angles

JGH = FGI

Answer:

1: Angle HGI is 30 degrees, Angle FGI is the same as JGH

Hope that helps. Brainliest is appreciated if it did!

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

Person 2 :

Person 3 :

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

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Answer:

Step-by-step explanation:

X values are the domain and y values are range.

Domain = {-1,8,1,-2 }

Range = {3,2,5}

The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 2/39

Probability is the like likelihood or chance that an event will occur.

Probability = Expected outcome/Total  outcome

If Jorge has a standard deck of 52 cards, the total outcome is 6

If Jorge draw a diamond card, the probability that he will draw a diamond card is 4/52 = 1/13

For a six-sided cube, the total outcome is 6. If he rolls a number greater than two, the expected outcome will be 4

The probability that he rolls a number greater than 2 is 4/6 = 2/3

The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 1/13 * 2/3 = 2/39

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Answer:

$1200

Step-by-step explanation:

Let cost of 1 square foot be x

So, Cost of 450 square feet =  450x

We are given that A 450-square-foot apartment in New York City cost $540,000.

So, 450x = 540000

x= [tex]\frac{540000}{450}[/tex]

x= 1200

Cost of 1 square foot = $1200

Hence the price per square foot is  $1200

Answer:jone cần lái xe với tốc độlà:

Step-by-step explanation:   320/2=160(km/h)

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Make me as brain liest

Answer:

42:30

Step-by-step explanation:

10 x 3 = 30

14 x 3 = 42

Answer:

b.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.x +y = 1   Yes

2. Power of variable e is 3. So, it is not a linear equation

No.

3) Great than symbol is there. No, it is not a linear equation.

4. 2x -y = 2x + 5

2x - y - 2x = 5

      -y = 5 is not a linear equation with two variable.

No.

5. No.

1) (5,14)  ; (19,7)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}[/tex]

2) (-10 , 1)  ; (-10 ,4)

x- coordinate is same for both the points. So, the line is parallel to y-axis

Slope = undefined

[tex]3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}[/tex]

[tex]4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}[/tex]

Compare with y = mx + b  ; here m is slope

1. y = -2x - 8

slope = -2

2. x = 3

Line is parallel to y-axis.

So, slope = undefined

3.2x - y = 4

        2x - 4 = y

y = 2x - 4

Slope = 2

4.) 2x + y - 5 = 0

       y = -2x + 5

Slope = -2

Queremos saber cuantas porciones de arroz se preparan dado que conocemos cuantos gramos de arroz se utilizan.

Se prepararon 68 porciones.

Lo que sabemos en principio es que, por cada porción de arroz, se necesitan 70 gramos de arroz.

Sabemos que en total se utilizan 4,760 gramos de arroz. Para saber cuantas porciones se prepararon, hay que tomar el cociente entre la cantidad total utilizada y lo que se usa para cada porción.

Esto nos da:

4,760g/70g = 68

Es decir, se prepararon 68 porciones.

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Answer:

Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.

Answer:

52 units^2

Step-by-step explanation:

The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.

A_dresser = LW = 4(3) = 12 units^2

The area of the bed is a little more complicated, but you can get by using just areas of rectangles.

See the picture below.

Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.

The area of the square is 81 units^2.

We need to subtract the areas of the 4 triangles at the corners.

There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.

There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.

Now subtract 25 and 16 from 81 to get the area of the bed.

81 - 25 - 16 = 40

A_bed = 40 units^2

Combined area of bed and dresser:

A = 40 units^2 + 12 units^2 = 52 units^2

Answer: 52 units^2

Here's another way of finding the area of the bed:

Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:

31 + 1/2 * 18 = 31 + 9 = 40

You get 40 units^2

Answer:

y=-3/2x+1

Step-by-step explanation:

NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.

Step 1: plot your 2 known points.

Step 2: draw a line that goes between both points

Step 3: find the distance of the points in RISE/RUN format.

-9/6. The slope is negative because the line goes down to the right.

Step 4: find your y-intercept.

1.

Step 5: simplify your equation

-9/6 = -3/2

Answer:

-4w+32

Step-by-step explanation:

distribute the 4 to everything in the ( )

Answer:

3/13

Step-by-step explanation:

three socks out of the 13 are black. therefore you have a 3/13 chance of picking black.

Answer:

H(-3)= -0.5

H(0)= 7

H(1)= 9.5

Step-by-step explanation:

For H(-3)

Substitute all of the x into -3

H(-3)=2.5(-3)+7

2.5 times -3 is -7.5

-7.5+7 is -0.5

So the answer for H(-3) is -0.3

For H(0)

Substitute all of the x into 0

H(0)=2.5(0)+7

2.5 times 0 is 0

0+7 is 7

So the answer for H(0) is 7

For H(1)

Substitute all of the x into 1

2.5(1)+7

2.5 times 1 is 2.5

2.5+7 is 9.5

So the answer for H(1) is 9.5

Hope this helps!

Answer:

$2.67

Step-by-step explanation:

$12.00 divided by 4.5 (aka four and a half) = 2.6666 = amount per pound

Round to the nearest cent. 2.666, that last six makes the six in the hundredths place round up to 7.