Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.

f(x) = (x-b)(x-c)^2(x-d)^3

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Answer:

D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)

Step-by-step explanation:

A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.

B is also false. There is no indicated negative signs.

C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)

D is true.

Answer:d^4+2d^3+4d^2+6d+3

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation:

Answer:

About $20.30

Step-by-step explanation:

$466.90 divided by 23.

Given:

The system of equations that represent the constraints for the given situation is

[tex]x+y=4.25[/tex]

[tex]16.90x+4y=36.35[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]x+y=4.25[/tex]           ...(i)

[tex]16.90x+4y=36.35[/tex]           ...(ii)

Multiply equation (i) by 4.

[tex]4x+4y=17[/tex]           ...(iii)

Subtracting (iii) from (ii), we get

[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]

[tex]16.90x+4y-4x-4y=19.35[/tex]

[tex]12.90x=19.35[/tex]

Divide both sides by 12.90.

[tex]x=\dfrac{19.35}{12.90}[/tex]

[tex]x=1.5[/tex]

Put this value in (i).

[tex]1.5+y=4.25[/tex]

[tex]y=4.25-1.5[/tex]

[tex]y=2.75[/tex]

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

Answer:

253=69g or 253=69(g)

Step-by-step explanation:

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

-6+-1 = -6-1 = -7

Hence, it's -3x-7

Answer:

27

Step-by-step explanation:

If we divide 18 by 2, we get 9. 9 is how many glasses each container of ice tea can fill. 3 x 9 = 27

Answer:

The cost of a can of popcorn is $10.

The cost of a box of cookies is $5.

The cost of a can of popcorn is $20

Step-by-step explanation:

First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.

Defining the variables:

Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:

2*x + 3*y + 1*z=65 Equation 1

Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:

4*x + 6*y + 3*z=140 Equation 2

Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:

8*x + 8*y + 5*z=250 Equation 3

Then the system of equations is formed by these three equations.

A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.

Isolating z from Equation 1:

[tex]z=65-2*x-3*y[/tex] Equation 4

Replacing in Equation 2:

4*x + 6*y + 3*(65 -2*x-3*y)=140

4*x + 6*y + 195 - 6*x  - 9*y= 140

-2*x - 3*y=140-195

-2*x - 3*y=-55

2*x + 3*y= 55

and isolating x:

[tex]x=\frac{55-3*y}{2}[/tex] Equation 5

Replacing in Equation 4:

[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]

z=65 - (55-3*y) - 3*y

z= 65 -55 + 3*y - 3*y

z= 10

So the cost of a can of popcorn is $10.

Replacing equation 5 and the value of z in equation 3:

8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250

[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250

4*(55 -3*y)+ 8*y + 5*10=250

4*55 - 4*3*y + 8*y + 50=250

220 - 12*y + 8*y + 50=250

-12*y + 8*y= 250 -220 - 50

-4*y= -20

[tex]y=\frac{-20}{-4}[/tex]

y= 5

So the cost of a box of cookies is $5.

Finally replacing the value of y in Equation 5 you get the value of x:

[tex]x=\frac{55-3*5}{2}[/tex]

[tex]x=\frac{55-15}{2}[/tex]

[tex]x=\frac{40}{2}[/tex]

x=20

Finally, the cost of a can of popcorn is $20

Answer:

d = 60h + 35

Step-by-step explanation:

60 = Slope

35 = Y-intercept

You would just input whatever amount of time you need to the variable h in order to find the value of d.

Answer:

(E) if im wrong don't sew meh

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

Unit rate is always how much it is for 1 and point C has a 1 in it's coordinate pair. It isn't point B because point B is not graphed on the line.

Answer:

C.

Step-by-step explanation:

Answer:

y = (1/3)x - 27 <-- perpendicular line

Step-by-step explanation:

9x + 3y = (-27)

3x + y = (-27)

y = (-3x) - 27 <-- original line

y = (-3x) - 27 <-- original line

slope = (-3)

slope = (-3/1)

inverse = (1/-3)

negative inverse = (1/3)

y = (1/3)x - 27 <-- perpendicular line

Answer:

You don't

Step-by-step explanation:

*Mind Blown*

Answer:

2af+bf = 2af+bf

Step-by-step explanation

f(x) = 4x2 – 3x. =  x(4x−3)

Answer: the answer would be 18.85

Step-by-step explanation:

multiply 13 by 14.5 then divide by 1/10

Answer:

18.85

Step-by-step explanation:

Answer:I'mconfused

Step-by-step explanation:

Answer:

15%

I like your demon slayer profile picture

Answer:

The answer is 15%.

Step-by-step explanation:

If 100 is 10% it only makes since that 15% is the right answer.

Hope This Helps!

Answer:

b. 0.225

Step-by-step explanation:

tan = opposite / adjacent

opposite of A is 9

adjacent of A is 40

9/40=0.225

Answer: 10,000

Step-by-step explanation: 10x10x10x10=10,000.

Answer:

10000

Step-by-step explanation:

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)      

The Fourth-day ride will be=1.5*1.5(1.5x)  

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles

Answer:

9

Step-by-step explanation:

-3+6 is 3

3*3 is 9

Answer:

Step-by-step explanation:

Probabilities are basically values determining how likely something is to happen. These values are usually represented in fractions or percentages which are the two main strategies as well for comparing probabilities. For comparing probabilities through fractions we would try to make sure the denominators are equal and then compare the numerators. The higher numerator is the probability with the highest chance of something happening. For example...

[tex]\frac{3}{4} > \frac{1}{4}[/tex]  ... 3/4 is a much higher probability than 1/4

The second strategy would be using percentages in the same way. The higher percentage is the one with the highest probability while the lower percentage is the one with the lower probability.

96%  >   54%

Answer:

Probably 169

Step-by-step explanation:

I divided 222 by 2 and got 111 so i added 58 and got 169

111+58=169

If im incorrect please correct me so i can learn as well :D

Answer:

a) draw the triangle using the graph points

b) move the triangle 3 points to the left and 1 point down

c) translation

d) draw this shape

e) write down the coordinates

Step-by-step explanation:

The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.

Answer:

They will finish packing boxes at the same time after 91 minutes.

Step-by-step explanation:

From the question,

Kaitlin takes 13 minutes to pack a box while Ambrose takes 7 minutes to pack a box. That is,

Kaitlin will finish packing a box after every 13 minutes and Ambrose will finish packing a box after every 7 minutes.

To determine when they will finish packing boxes at the same time, we will list the times they will finish packing boxes

For Kaitlin, she will finish packing box(es) at the following times:

13th minute, 26th minute, 39th minute, 52nd minute, 65th minute, 78th minute, 91st minute, 104th minute etc.

For Ambrose, he will finish packing box(es) at the following times:

7th minute, 14th minute, 21st minute, 28th minute, 35th minute, 42nd minute, 49th minute, 56th minute, 63rd minute, 70th minute, 77th minute, 84th minute, 91st minute, 98th minute, 105th minute etc.

From above, we can observe that, Ambrose and Kaitlin will finish packing boxes at the 91st minute.

Hence, They will finish packing boxes at the same time after 91 minutes.

Answer:

The equation that describes the path of the water balloon is:

[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]

Step-by-step explanation:

The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from [tex]A(x,y) = (0\,ft, 5\,ft)[/tex] and hits Arnold at [tex]B(x,y) = (20\,ft, 5\,ft)[/tex]. Given the property of symmetry of quadratic function, water ballon reaches its maximum at [tex]C(x,y) = (10\,ft,15\,ft)[/tex], which corresponds to the vertex of the standard equation of the parabola, whose form is:

[tex]y = a\cdot (x-h)^{2}+k[/tex] (Eq. 1)

Where:

[tex]a[/tex] - Vertex parameter, measured in [tex]\frac{1}{ft}[/tex].

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex, measured in feet.

[tex]x[/tex], [tex]y[/tex] - Horizontal and vertical location of the ball, measured in feet.

If we know that [tex]x = 0\,ft[/tex], [tex]y = 5\,ft[/tex], [tex]h = 10\,ft[/tex] and [tex]k = 15\,ft[/tex], the vertex parameter is:

[tex]5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft[/tex]

[tex]a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}[/tex]

[tex]a = - \frac{1}{10}\,\frac{1}{ft}[/tex]

The equation that describes the path of the water balloon is:

[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]