Let a and b be real numbers where a 0. Which of the following functions could represent the graph below?


f(x) = x(x – a)3(x – b)3
f(x) = (x – a)2(x – b)4
f(x) = x(x – a)6(x – b)2
f(x) = (x – a)5(x – b)

Answer:

36

Step-by-step explanation:

summation of all the outcome

There are 36 possible outcomes is shows in table for rolling two  six - sided number cubes.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The table shows all the possible outcomes for rolling two six - sided number cubes.

Now, We know that;

For rolling one six - sided number cubes,

There is 6 possible outcomes.

Hence, For two six - sided number cubes.

Number of possible outcomes = 6 × 6

                                               = 36

Thus, There are 36 possible outcomes is shows in table for rolling two  six - sided number cubes.

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Answer:

x=-2/3

Step-by-step explanation:

So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.

4x+-9x=-5x

Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:

2/3+7/2-5/6=-5x

A quick trick for adding and subtract fractions is to cross multiply.

2/3+7/2

Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.

3*2=6 (our denominator)

3*7=21

21/6

2*2=4/6

21/6+4/6=

25/6

Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.

Now, all we're left with is:

20/6=-5x

We can multiply 6 on both sides to isolate the 20.

20=-30x

Divide -30 on both sides!

x=-2/3

Hope this helps!

Answer:

(-5, 4)

Step-by-step explanation:

Finding the X of B

-2 = x2+x1/2

-2 = x2+1/2 (substituted X co-ord of A into x1)

-4=x2+1 (multiplied both sides by 2)

-5=x2 (brought 1 to the other side)

Finding the Y of B

1 = y2+y1/2

1 = y2 - 2/2 (substituted Y co-ord of A into y1)

2 = y2 -2 (multiplied both sides by 2)

4 = y2 (brought 2 to the other side)

Answer:

C is your correct answer

Step-by-step explanation:

just multiply it together  then you get  70.51

Answer:

30

Step-by-step explanation:

cause the angles in a hexagon should add up to 720degrees(area) which means each angle in a hexagon is 120.

Angles in a triangle add up to 180

we know that A is 120 and the angles of F and B are equal (this is an assumption) so 180-120=60 then 60/2 (because we have 2 angles) 30

So X=30

(sorry if the answer is incorrect)

Answer:

30

(6-2)(180)/6

=120

∆FAB=180°

180-120=60

x=60/2

=30

Answer:

~28

Step-by-step explanation:

5 feet 3 inches is 5.25 feet.

We divide 7/5.25 which equals 1.3333333333333 (repeating)

That means we multiply 21 by 1.333333333333 which would round up to 28 feet. (the exact answer is 27.99999999999999999)

Answer:

None Of the Above.

Step-by-step explanation:

As we know that the general equation of circle is

( x - h )^2 + ( y - k )^2 = r^2

putting h=5 and k= 4 and r= 5

x² + 25 - 10x + y² +16 - 8y = 25

x² + y² - 10x - 8y + 16 = 0 is the answer.

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Step-by-step explanation:

Objective: Circle Theorems

The arcs add up to 360 and they are in proportion so

[tex]3x + 3x + 4x + 5x = 360[/tex]

[tex]15x = 360[/tex]

[tex]x = 24[/tex]

So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.

Angle 1 measure is a inscribed angle of Arc CD.

So it measures

[tex] \frac{96}{2} = 48[/tex]

Angle 2 is a inscribed angle of Arc AB so it measures

[tex] \frac{72}{2} = 36[/tex]

Angle 3 is a inscribed angle of Arc DA.

[tex] \frac{120}{2} = 60[/tex]

Angle 4 is a inscribed angle of Arc BC so it measures

[tex] \frac{72}{2} = 36[/tex]

Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.

Angle 4 measures 32 so Angle 5 is it complement to Angle 4.

[tex]32 + x = 90[/tex]

[tex]x = 58[/tex]

Angle 6 is formed by two intersecting chrods

so it measures

[tex] \frac{1}{2} (120+ 72) = 96[/tex]

Answer:

the correct answer is C.5

Step-by-step explanation:

(5^1/6)^6=5

Answer:

(x+y)+2

hope this helps

Answer:

4.56, 4,65, 5,46, 5.64, 6.45 and 6.54

Step-by-step explanation:

start with the whole number and find the smallest one!

It would be 4 then find the number with the smallest amount

Keep doing this to all of the numbers

Answer:

2

Step-by-step explanation:

f(x) = x^2 + 1

f(-1) = (-1)^2 + 1

f(-1) = 2

Answer:

f(x)=x^2+1

f(-1)=(-1)^2+1

f(-1)=1+1

f(-1)=2

Step-by-step explanation:

the answer is in the image above

Answer:

a₅₀₀ = 3517

Step-by-step explanation:

a₁ represents the first term and d the common difference

Here a₁ = 24 and d = 31 - 24 = 7 , then

a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517

Answer:

so to do this we basicely just go through and substitute the anser in and see if it works.

60+10=70

60-10=50

NO

50+20=70

50-20=30

RIGHT

so the answer is the second one

Answer:

500ml orange juice is the most cost effective

Step-by-step explanation:

first number=x

second number=x+2

third number=x+4

(x+2)(x+4)=3x+26

x(x+4)+2(x+4)=3x+26

x²+4x+2x+8=3x+26

x²+6x+8=3x+26

x²+6x-3x=26-8

x²+3x=18

x²+3x-18=0

you can use that to find the numbers

Answer:

6, 8 and 10

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2, x+4

product of the second and the third integer

(x+2)(x+4)

twenty-six more than three times the first integer is expressed as;

3x + 26

Equate

(x+2)(x+4) = 3x + 26

x²+4x+2x+8 = 3x + 26

x²+6x +8= 3x+26

x²+3x +8-26 = 0

x²+3x-18 = 0

Factorize

x²-6x+3x-18 = 0

x(x-6)+3(x-6) = 0

x+3 = 0 and x-6 = 0

x = -3 and 6

The first 3 number is are 6, 8 and 10

Answer:

The length of each piece is 0.833 ft.

Step-by-step explanation:

Length of board, L = 5 ft 1 inch

loss per cut = 1/5 inch

The board should be cut by 5 times to get the 6 pieces.

The loss in 5 cuts = 5 x 1/5 = 1 inch

So, the length of each piece is

[tex]L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft[/tex]

The length of each piece is 9 13/15 inches.

The first step is to determine the length of the board in inches. In order to do this, feet should be converted to inches.

1 feet = 12 inches

(12 x 5) + 1 = 61 inches

Total losses of the 6 cuts = 1/5 x 6 = 6/5 = 1 1/5 inches

Total length left = 61 inches - 1 1/5 inches = 59 1/5 inches

Length of each board = 59 1/5 ÷ 6

296 / 5 x 1/6 = 296 /30 = 9 26/30 = 9 13/15 inches

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Answer:

The number is 35.

35 divided by 7 is 5, and 5 plus 7 is 12.

:)

Let's assume the number Sushil was thinking was 'x'

Now lets understand each part,

First, Sushil divides the number by 7, writing this in numbers will give,

[tex]\frac{x}{7}[/tex]

Sushil then adds 7 to digit, this will give

[tex]\frac{x}{7}+7[/tex]

Sushil tells that the answer for the following equation is 12, so

[tex]\frac{x}{7} + 7 = 12[/tex]

Therefore the equation Sushil made is [tex]\frac{x}{7} + 7 = 12[/tex]

Happy to help :)

If you need any help, feel free to ask

Answer:

D.44

Step-by-step explanation:

i hope its help for you po

Answer:

Growth

Step-by-step explanation:

When x value increase, y value also increase, So growth.

When x = 1   ;f(1) = 2

When x = 2  ; f(2) = 2² = 4

When x = 3  ; f(3) = 2³ = 8

Answer:

Exponential Growth

Step-by-step explanation:

I found this photo that helps differentiate both growth and decay :)

I hope this helps! :)

Answer:

y= 6/19

hope it helps

Answer:

450in^2

Step-by-step explanation:

square root of 900 is 30.

Each side of square is 30.

Each side of a triangle formed by drawing a radi in the square is 15 in.

The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.

A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2

Answer:

D) cot(C) = 1/2.

Step-by-step explanation:

We can go through each choice and examine is validity.

Choice A)

We have:

[tex]\displaystyle \sec B=\frac{3}{7}[/tex]

Recall that secant is the ratio of the hypotenuse to the adjacent.

With respect to B, the adjacent is 6 and the hypotenuse is 7.

Therefore, sec(B) should be 7/6 instead.

A is incorrect.

Choice B)

We have:

[tex]\displaystyle \cot B=\frac{3}{2}[/tex]

Cotangent is the ratio of the adjacent side to the opposite.

With respect to B, the adjacent side is 6 and the opposite side is 3.

Therefore, cot(B) = 6/3 = 2.

B is incorrect.

Choice C)

C is incorrect for the reasons listed in A.

Choice D)

We have:

[tex]\displaystyle \cot C=\frac{1}{2}[/tex]

Again, cotangent is the ratio of the adjacent side to the opposite.

With respect to C, the adjacent side is 3 and the opposite side is 6.

So, cot(C) = 3/6 = 1/2.

Therefore, D is the correct choice!

Answer:

Top right

Step-by-step explanation:

First, we have "h is increasing on the interval (3, +∞)." This means that h must be increasing for all values 3 and higher. This is shown on the top left, top right, and bottom right graphs because when x goes up on each of them, the function increases as well. However, for the bottom left graph, this is not shown because as x goes from 3 to 4, the function decreases.

Next, the statement given is "h(4)=2". This means that when the x value is 4, the y value is equal to 2. This is true for the top left and top right pictures. However, for the bottom right, as the x value is 4 on the x axis, the corresponding y value is 1, not 2.

This leaves us with the top left and top right. The final characteristic given is "The domain of h is [3, +∞). This means that the x values of said function only go from 3 to infinity. As the top left graph has values of x below 3, this leaves the top right graph as h

Answer:

[tex]{ \tt{2 {x}^{2} + 10x + 8 }} \\ { \tt{ = (x + 1)(x + 4)}}[/tex]

Answer:

A. 2 ( x + 4 )( x + 1 )

Step-by-step explanation:

2x² + 10x + 8

factor out 2 from the equation

2 ( x² + 5 x + 4 )

write 5x as a sum and rewrite the expression

2 ( x² + 4x + x + 4 )

factor out x from the equation

2 ( x ( x + 4 ) + x + 4 )

factor out x + 4 from the equation

2 ( x + 4 ) ( x + 1 )

Answer: UHHHHH i shall halp ya

Step-by-step explanation:

if its 133 in ounces its 293.215 in pounds

Answer: 8 pounds and 5 ounces

Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.

Answer:

8units

Step-by-step explanation:

area of a triangle=1/2base x height

1/2×4×4

2×4

8units

Answer:

A=$21930.52

Step-by-step explanation:

Given data

Principal =44000

Time =5years

Rate of depreciation =13%

The expression for the depreciation is

A=P(1-r)^t

Substitute

A=44000(1-0.13)^5

A=44000(0.87)^5

A=44000*0.4984209207

A=21930.52