WILL MARK BRAINLIEST!! PLZ HELP!!! 20 POINTS Create a graph of the polynomial function g(x) = (x + 2)(x − 1)(x − 2)

Answer:

£21,600

Step-by-step explanation:

First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.

Answer:

b

Step-by-step explanation:

Seeing that all of the numbers are multiple of 5, the answer should be 15 because the other answers don't have 105, 135 or 180 as a multiple

Answer:

3 mm

Step-by-step explanation:

(i) The product of the two expressions is equal to the product of their factors. (ii) The product of the two expressions is equal to the product of their H.C.F. and L.C.M. 2.

Answer:

12 × 15

15×12

9 ×20

Ans=180

Answer:

-13+3d

Step-by-step explanation:

(-7-6)+(d+2d) Letters with letters and numbers with numbers.

-13+3d

Answer:

3d - 13.

Step-by-step explanation:

-7 + d - 6 + 2d

= d + 2d - 7 - 6

= 3d - 13

Hope this helps!

Answer:

Step-by-step explanation:

0.2(20)+6-4(1/2)=4+6-2=8

Answer:

0.2(20)+6-4(112)=4+6-2=8

a function is a rule that assigns each value of the variable to exactly one value of the dependent variable

Answer:

-3

Step-by-step explanation:

We can use any two points in the table and the slope formula

m = (y2-y1)/(x2-x1)

Using ( (0,4) and ( -2,10)

  = ( 10 -4)/(-2 -0)

  = 6/-2

  = -3

Answer:

B. -3

Step-by-step explanation:

If you were to put it into a problem

-2x + 4

(the 4 because that's where it intercepts the y axis)

and if you were to substitute in 4 for the x you would get

-2(4) + 4 = -4 which wouldn't give you -8

so now you try -3x + 4

Then substitute 4 for x

-3(4) + 4 = -8 so then you would substitute 6 by four just to be sure

-3(6) + 4 = -14 so the answer would be B.

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

Answer:

Step-by-step explanation:

The geometric sequence consists of 3 with different powers.

The previous ones were

3^4, 3^3, 3^2.

So, the next ones will be 3^1, 3^0, 3^-1

These are

3^1 = 3

3^0 = 1

3^-1 = 1/3 = 0.33

Hope this helps

The geometric sequence's next three terms will be 3, 1, and 1/3.

Let a₁ represent the first term and r represent the common ratio. The geometric sequence's nth term is then given as,

aₙ = a₁ · (r)ⁿ⁻¹

The sequence is given below.

81, 27, 9

The first term is number 81. And the common ratio is as follows:

[tex]r = \dfrac{27}{8}[/tex]

[tex]r=\dfrac{1}{3}=0.34[/tex]

The rule is given as,

aₙ = 81 · (0.34)ⁿ⁻¹

The 4th term is given as,

a₄ = 81 · (0.34)⁴⁻¹

a₄ = 81 · (0.34)³

a₄ = 3

The 5th term is given as,

a₅ = 81 · (0.34)⁵⁻¹

a₅ = 81 · (0.34)⁴

a₅ = 1

The 6th term is given as,

a₆ = 81 · (0.34)⁶⁻¹

a₆ = 81 · (0.34)⁵

[tex]a_6 = \dfrac{1}{3}[/tex]

The next three terms of the geometric sequence will be 3, 1, and [tex]\dfrac{1}{3}[/tex].

More about the geometric sequence link is given below.

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Answer:

Step-by-step explanation:

In arithmetic progression common difference is given by

d = nth term - (n-1)th term.

In geometric progression common ratio is given by

r = nth term / (n-1)th term.

Another thing  important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.

we will be using this concept to solve this problem.

________________________________

Let look at the problem

series

11, 6 ,1

Lets try to find common difference for this series

common difference of third and second term = 1-6 = -5

common difference of  second term and first term = 6 -11 = -5

Thus, we see that common difference is same in both case ,

hence it can be concluded that series is Arithmetic progression.

another way to validate this is

nth term of AP is given by

nth term = a + (n-1)d

where a is first term

lets try to find third term using this formula and using d = -5 and a = 11

3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1

Thus, we see that third term calculated is same as given in series i.e 1

Hence series is Arithmetic progression validated as well.

______________________________________________

Problem is solved but lets see if the series is GP or not

common ratio of third and second term = 1/6 = 1/6

common ratio of  second term and first term = 6 /11

Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.

Use the Pythagorean theorem:

c^2 = 2^2 + 2^2

c^2 = 4 +4

c^2 = 8

c = sqrt(8)

c = 2.8284

Rounded to nearest tenth = 2.8

Step-by-step explanation:

given,radius =5 m

height =8 m

now, v=pi×r^2×h

=(3.14×5^2×8)m^3

=628m^3

therefore the volume is 628m^3 is the answer

Answer:

hope its what you are searching for....

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6

The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4

Given n = 10, we want to determine P(x = 4)

From the binomial distribution calculator,

P(x = 4) = 0.11

Answer: B. 3 hours 30 minutes

Step-by-step explanation:

Time = Distance / Speed

Time = 525 / 150

Time = 3.5

The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.

It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.

Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:

= 32 + 115 + 33

= 180°

Read related link on:

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Answer:

Step-by-step explanation:

It's B

Answer: B or 1/2

Step-by-step explanation: not too sure if this is right if not sorry

Answer:

Lose $25, Gain $5, Gain $45, Stock ABC 40%, 15%, 45%, Stock JKL 15%

Step-by-step explanation:

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

there are 8 numbers

we want one of them (number 4)

which is 1 in 8

that is:

[tex] \frac{1}{8} [/tex]

There are 9,232,320 ways to split 14 people into seven pairs.

To split 14 people into seven pairs, we need to find the number of ways to arrange the people into those pairs.

Let's break down the process step by step:

1. Selecting the first pair: We have 14 people to choose from for the first person in the first pair. After selecting the first person, we have 13 people remaining to choose from for the second person in the pair. Since the order of selection doesn't matter, we divide by 2 to account for the fact that we have counted each pair twice (e.g., choosing A then B is the same as choosing B then A).

Therefore, the number of ways to select the first pair is (14 * 13) / 2 = 91.

2. Selecting the second pair: We have 12 people remaining after forming the first pair. Similar to the first pair, we have 12 choices for the first person and 11 choices for the second person in the second pair. Again, we divide by 2 to account for the order of selection.

The number of ways to select the second pair is (12 * 11) / 2 = 66.

3. Continuing this process, we select pairs until all 14 people are paired up. Each time, the number of remaining people decreases by 2.

So, the total number of ways to split 14 people into seven pairs is:

91 * 66 * 40 * 24 * 10 * 6 * 2 = 9,232,320.

Therefore, there are 9,232,320 ways to split 14 people into seven pairs.

To know more about ways, refer here:

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Answer:

E. (x³/360)π square units

Step-by-step explanation:

The area of a sector has a formula.

θ°/360° × πr²

The radius is x units, the central angle of the sector is x°.

x/360 × πx²

x/360 × x² × π

x³/360 × π

The area of the sector is equal to (x³/360)π square units.

Answer: (0, -28)

Step-by-step explanation:

Turn this equation into slope-intercept form.

y-2=5x-30

y=5x-28.

Because the y-intercept is -28, the point (0,-28) must be on the line.

Hope it helps <3

Answer:

qp

Step-by-step explanation:

Given

pq

Required

Find an equivalent expression

The rule that's applicable to this question is the multiplicative property;

The multiplicative property states that:.

ab = ba

Using the same logic in this case;.

pq will be equivalent to qp.

Take for instance;

21 * 18 = 18 * 21 = 378

37 * 19 = 19 * 37 = 703

m * y = y * m

So, from the list of given options, the correct answer is qp

Answer: the correct answer is qp just did quiz

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

42/16.8=2.5

Answer:

w=A/I

2.5in

Step-by-step explanation:

This is the full answer

Answer:

-4/7

Step-by-step explanation:

When we simplify the fraction -64/112, we get -4/7.

Answer:

-4/7

Step-by-step explanation:

-64/112 is already a rational number.

Simplify the fraction.

= -4/7

Answer:

7x^2 -28x +28

Step-by-step explanation:

7(x - 2)^2

7 ( x-2)(x-2)

Foil

7 ( x^2 -2x-2x+4)

Combine like terms

7( x^2 -4x+4)

Distribute

7x^2 -28x +28

Answer:

  [tex]\dfrac{1}{7x-14}[/tex]

Step-by-step explanation:

Perhaps you want to simplify ...

  [tex]\dfrac{x-2}{7(x-2)^2}=\dfrac{x-2}{x-2}\cdot\dfrac{1}{7(x-2)}=\boxed{\dfrac{1}{7x-14}}[/tex]

Answer:

1) h(max) = 64 ft

2) t = 1 s  

3) t(in air)  = 3 s

4) just after 3 s

Step-by-step explanation:

The height f the ball is:

h(t) = -16*t² + 32*t  + 48

Maximum height is when V(y) = 0

D(h)/dt  = V(y)  = -16*2*t + 32

V(y) = 0       -32*t +  32  = 0

2) t = 1 s     time to reach maximum height

Plugging this value  in equation   h(t) = -16*t² + 32*t  + 48

h(max) = -16*(1)² + 32*(1) + 48

1) h(max) =  16 + 48 = 64 ft  

3)  In equation   h(t) = -16*t² + 32*t  + 48

when h(t) = 0 we find time of the ball in air

16*t² - 32*t  - 48  = 0    a second degree equation solving for x

x₁,₂  =  32 ± √( (32)² + 4*48*16)  / 32

x₁,₂  =  (32 ±  64 )/32

we dismiss negative x ( negative time)

x₂  = 32 + 64 /32

x₂  = 3 s

4) the ball hit the ground just at 3 scond after its thrown

The ball is 3 s in the air ( touch the ground just in that moment)

Step-by-step explanation:

it is 1 - 6.9/100 =0.931

Answer:

30 degrees

Step-by-step explanation: