Use the distributive property to evaluate the following expression: 9 x (4 + 9) . Show your work in your answer.

Answer:

nun of the 3 you gave use so the last one the 4th

Step-by-step explanation:

Answer:

2102

Step-by-step explanation:

The polynomial function P(x)=x^5-8x^3-x^2+2, if it is divided by x-5, first we need to get x from the divisor as shown

since d(x) = x-5

x-5 = 0

x = 5

Substitute x = 5 into the expression to get the remainder

P(x)=x^5-8x^3-x^2+2

P(5)=(5)^5-8(5)^3-(5)^2+2

P(5) = 3125-1000-25+2

p(5) = 2100+2

P(5) = 2102

Hence the remainder is 2102

Answer/Step-by-step explanation:

Parallelogram A:

Area = 5x + 20

Base = x + 4

Height = h = ?

Area of Parallelogram = base * height

Plug in the values

5x + 20 = (x + 4) * h

Divide both sides by x + 4

[tex] \frac{5x + 20}{x + 4} = h [/tex]

[tex] \frac{5(x + 4)}{x + 4} = h [/tex]

[tex] 5 = h [/tex]

Height = 5

Parallelogram B:

Area = 8x - 24

Base = b

Height = 8

Area of Parallelogram = base * height

Plug in the values

8x - 24 = b * 8

Divide both sides by 8

[tex] \frac{8x + 24}{8} = b [/tex]

[tex] \frac{8(x + 3)}{8} = b [/tex]

[tex] x + 3 = b [/tex]

Base = x + 3

Parallelogram C:

Area = 12x + 6y

Base = 6

Height = h = ?

Area of Parallelogram = base * height

Plug in the values

12x + 6y = 6 * h

Divide both sides by 6

[tex] \frac{12x + 6y}{6} = h [/tex]

[tex] \frac{6(2x + y)}{6} = h [/tex]

[tex] 2x + y = h [/tex]

Height = 2x + y

Answer:

C = y=4x

Step-by-step explanation:

That answer because if you were to multiply on the way it will have the same graph

Answer:

The third option

Step-by-step explanation:

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) [tex]x = 6.2\times 12[/tex] Given.

2) [tex]x = \left(6+0.2\right)\times 12[/tex] Definition of addition.

3) [tex]x = 6\times 12 + 0.2\times 12[/tex] Distributive property.

4) [tex]x = 72 + \frac{2}{10}\times 12[/tex] Definitions of multiplication and decimal number.

5) [tex]x = 72 +[2\cdot (10)^{-1}]\cdot 12[/tex] Definition of division/Associative property.

6) [tex]x = 72 + [2\cdot 12]\cdot (10)^{-1}[/tex] Associative property.

7) [tex]x = 72 + 24\cdot 10^{-1}[/tex] Definition of multiplication.

8) [tex]x = 72 + \frac{24}{10}[/tex] Definition of divsion.

9) [tex]x = 72 + 2.4[/tex] Defintion of decimal number.

10) [tex]x = 74.4[/tex] Definition of addition/Result

Natalia's work is wrong.

Answer:

$135

Step-by-step explanation:

If each set cost $0.40 to make and sells for $1.75, the profit for each pack is $1.35.

To get 20% of this you do the following: 1.35×0.20

20% of $1.35 is $0.27.

If 500 sets of pencil are sold and the school gets $0.27 from each pack sold, you would multiply $0.27 by 500, which would give you the answer $135.

Answer:

the answer is 7 the problem is an easy one

Step-by-step explanation:

Answer:

1234579

Step-by-step explanation:

first apply formula.then solved

Answer:

1 space to the right?

Step-by-step explanation:

Answer:

1 space to the left

Step-by-step explanation:

example 5.0 X 10% is the same as 5.0 x .10

5.0 x .10 = .50

Answer:

Step-by-step explanation:

x = -1

n(x = -1) = -3(x) + 7

n(x = -1) = -3(-1) + 7

-3 x -1 = 3

n(x = -1) = 3 + 7

n(x = -1) = 10

I hope this is correct! And I hope this helps :)

Answer:200

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Opening the brackets, you get: 3x^2 - 2x + 5 - 2x^2 + 5x - 1

Simplifying, you get : x^2 + 3x + 4

Answer:

a

Step-by-step explanation:

3x^2 - 2x^2= x^2

-2x + 5x = 3x

5- 1 =5

Answer:

2/3 chance

Step-by-step explanation:

You want to find numbers less than 5, so there are 4 numbers you can use. 4 out of 6 numbers possible is 4/6, or 2/3.

Answer:

3(b-9)

Step-by-step explanation:

The GCF (greatest common factor) is 3. All you have to do is divide both the numbers by 3. You should get 3(b-9). I hope this helps! ;)

Answer:

Step-by-step explanation:

Given function:

It is a quadratic function with general form of y = ax^2 + bx + c

It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a

For the given function vertex is:

Maximum value of p is:

The time when profit is zero:

Answer:

It’s c

Step-by-step explanation:

The graph of the linear functions are solved and a = 4, b = -2 , c = -4

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

y = f ( x )

Now , the functions on the graph are above and below the y = f ( x )

So , the value of a = positive

And , a = 4

Now , the value of b = negative

And , y = f ( x + b ) is below f ( x )

So , b = -2

And , similarly c = -4

Hence , the linear functions are solved

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Answer:

[tex]6 - 8x = 5x - 10x + 15 \\10x-8x-5x=15-6\\ - 3x = 9 \\ x = \frac{9}{ - 3} \\ x = - 3[/tex]

Answer:-3

the right answer  did ths on paper

c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.

c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.

A population is the group of people from which a statistical sample is taken in statistics. Therefore, a population is any collection of people who have something in common. A statistically significant portion of a population, rather than the full population, may also be referred to as a sample.

When surveying a big number of people, it is just impracticable to examine everyone who fits the description you are looking at using a population parameter. It is often easier to study a smaller sample of participants, but by applying inferential statistics, it is possible to get a good approximation of the population parameter.

thus, statistical population is the distribution of all of the statistics calculated from all possible samples of the same size.

Therefore, The statistical population, which is calculated from samples of the same size randomly selected from the same population, is the distribution of all potential values that can be assumed by a statistic.

Learn more about statistical population here:

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Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.

Step-by-step explanation:

It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.

So, we start by plugging in -20 for y and 5 for x.

y > -2x-3

-20 > (-2)(5) - 3

-20 > -10-3

-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.

y ≤ 3x + 2

-20 ≤ 3(5) + 2

-20 ≤ 15 +2

-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.

Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

A(-4,10)

B(4,10)

C(-4,4)

D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

Answer:

See below

Step-by-step explanation:

Points given on the graph:

Dilation by a scale factor of 2 will result in coordinates doubled for each point:

And the new points will be:

See attached for the graph

Answer:

The first option

Step-by-step explanation:

Answer:

a. 2in

b. [tex]l(t)=0.002t^{3}-0.06t^{2}+0.87t+2cos(\frac{\pi}{12}t)+38[/tex]

c. l'(3)=0.1938 in/hr

Step-by-step explanation:

a.

In part a, the problem is asking us to find how much snow will melt during the 6 hour period. In order to do so we need to take the M(t) function and integrate it in the given period of time, so we get:

[tex]\int\limits^6_0 {\frac{\pi}{6}sin(\frac{\pi}{12}t)} \, dt[/tex]

So now we solve:

[tex]\frac{\pi}{6}\int\limits^6_0 {sin(\frac{\pi}{12}t)} \, dt[/tex]

this is a known integral, so we get:

[tex]\frac{\pi}{6}[-\frac{12}{\pi}cos(\frac{\pi}{12}t)]^{6}_{0}[/tex]

we can simplify this so we get:

[tex]-2[cos(\frac{\pi}{12}t)]^{6}_{0}[\tex]

[tex]-2[cos(\frac{\pi}{12}(6))-cos(\frac{\pi}{12}(0))][/tex]

[tex]-2[cos(\frac{\pi}{2})-cos(0)][/tex]

[tex]-2[0-1][/tex]

2 in

b)

For part b they want us to write an expression for l(t), the total number of inches of snow at any time t.

in order to do so we need to find an expression for the rate of change of snow. A snowmaker is adding some snow while another amountn of snow is melting, so this rate of change is found by subtracting the two functions, so we get:

l'(t)=S(t)-M(t)

so:

[tex]l(t)=\int {(0.006t^{2}-0.12t+0.87-\frac{\pi}{6}sin(\frac{\pi}{12}t))} \, dt[/tex]

so we integrate this to get:

[tex]l(t)=\frac{0.006}{3}t^{3}-\frac{0.12}{2}t^{2}+0.87t+2cos(\frac{\pi}{12}t)+C[/tex]

and we can simplify this:

[tex]l(t)=0.002t^{3}-0.006t^{2}+0.87t+2cos(\frac{\pi}{12}t)+C[/tex]

so now we need to find what C is equal to, we can use the fact that l(0)=40in so we get:

[tex]40=0.002(0)^{3}-0.006(0)^{2}+0.87(0)+2cos(\frac{\pi}{12}(0))+C[/tex]

which yields:

40=2+C

so

C=40-2

C=38

So the final function is:

[tex]l(t)=0.002t^{3}-0.06t^{2}+0.87t+2cos(\frac{\pi}{12}t)+38[/tex]

c)

for part c we need to find the rate of change of the total amount of snow at time t=3, so in this case we can use the equation we found previously:

l'(t)=S(t)-M(t)

[tex]l'(t)=(0.006t^{2}-0.12t+0.87-\frac{\pi}{6}sin(\frac{\pi}{12}t))[/tex]

and substitute t=3

[tex]l'(3)=(0.006(3)^{2}-0.12(3)+0.87-\frac{\pi}{6}sin(\frac{\pi}{12}(3)))[/tex]

which yields:

l'(t)=0.1938 in/hr

Answer: B is the correct answer

Step-by-step explanation: Lol its B

Answer: Any number larger than 14.3; one possible value is 20

Note how 20 + (-14.3) = 20-14.3 = 5.7 which is positive.

If we picked something smaller than 14.3, like say 10, then

10+(-14.3) = 10-14.3 = -4.3 which is negative.

----------------

When adding a positive to a negative, you basically subtract the two values. Then whatever the largest value is, that's the sign of your result. For 20+(-14.3), the positive 20 is larger in absolute value so the overall result is positive. On the other hand, the -14.3 is larger in magnitude compared to the 10, which is why 10+(-14.3) has a negative result.

Step-by-step explanation:

Since they are consecutive terms in an AP,

(1 - x) + (2x + 1) = 2(x + 3).

=> x + 2 = 2x + 6

=> x = -4.

Therefore the terms are 5, -1 and -7.

=> Common difference = -6.