Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?
f(x) = x(x -a)2(x - b)4
f(x) = x(x - a)3(x - b)2
f(x) = 4(x-a)(x - b)2
f(x) = x2 (x-a)5 (x-b)

Answer:

Answer: It is number 4. You are correct.

Step-by-step explanation:

-2/5-8/91/32/7

Answer:

C. 148.413

Step-by-step explanation:

Hope it helps!!!

Answer: c

Step-by-step explanation:

A toy company produces rubber balls that have a radius of 1.7 cm.

What is the volume of one rubber ball? Round to the

nearest hundredth of a centimeter.

20.58 cm3

If the price of the rubber needed to produce a ball is

$0.0045/cm3, what is the cost of producing one ball?

Round to the nearest cent.

If the company sells a ball for $0.50, how much profit

will it make on each ball?

$1.7 cm

20.58 cm^3, $0.09, $0.41

Hope this helps

Answer:

red is 50% blue is 25%

Step-by-step explanation:

red is half the circle so it would be 50% and blue is half of a half so 25%

Answer:

12 people per team

Step-by-step explanation:

180/15=12

Answer: So for Choice A 30% off $25 is $7.50 off or $17.50 which is 70% of the original price and you save 7.50 dollars.

Then for Choice B 25% off $32 is $8 off or $24 which is 75% of the original price and you save 8 dollars.

Therefor the better choice is Choice B.

Step-by-step explanation:

hope it helps

Answer:

1.) 5

2.) 8,000 + 800 + 40 + 3

3.) Thirty-eight million, four-hundred and three thousand, two-hundred and seventy-seven.

Step-by-step explanation:

1.) In the number 546,789, what digit indicates the value of "one hundred thousand"? 5

2.) What is the expanded notation of 8843?

8,000 + 800 + 40 + 3

3.) Write the following number in words: 38,403,277

Thirty-eight million, four-hundred and three thousand, two-hundred and seventy-seven.

Hope this helps!

Answer:

ambisyoso

Step-by-step explanation:

yehey lala knows that you are you po Sir

The square root of 61 is about 7.81, so it lies in between the numbers 7 and 8.

Hope that helps!

Answer: 8

Step-by-step explanation:

420/12 is 35

540/20 is 27

35-27=8

Answer:

3k + 20

Step-by-step explanation:

5(k + 4) - 2k

First distribute

5k + 20 - 2k

Then subtract (combine) the like terms

3k + 20

Answer:

The answer is 3k + 20

Step-by-step explanation:

5k + 20 - 2k

Combine like terms: 5k - 2k = 3k

which makes your answer 3k + 20

Hope this helps:).......if not sorry for wasting time:)

Answer:

a) acute triangle

b) obtuse triangle

c) right-angled triangle

d) equilateral

e) isosceles, right-angled triangle

Step-by-step explanation:

Hope this helps!

Answer:

$12,938.26

Step-by-step explanation:

The equation for solving this is:

A = P(1+r/n)^nt

P = 4600

^ initial amount/principal

R = 0.09

^ rate (9% converted to a decimal)

n = 1

^ how often it is compounded (yearly, so it is 1)

t = 12

^ how long the investment is for (in years)

A = 4600(1.09)^12

A = 12,938.26

^ rounded to the nearest hundred, because when dealing with money it has to be rounded to the nearest hundred. Un-rounded the answer is 12938.2579962.

The investment will be worth $12,938.26 after 12 years.

Answer:

D. (0,-4)

Step-by-step explanation:

When you plug in 0 into the x and -4 into the y variable you get 2(0)-4(-4)>15.

Then you solve and get 0+16>15.

then you at and get 16>15.

16 is greater than 15 which makes D correct

Answer:

Step-by-step explanation:

9500/3200=296.88% i believe i did it backwards at first sorry

Answer:

If I directly give you the answers they won't help you...so I've shown you how to do the questions instead

Step-by-step explanation:

8/9 + 5/6 (make them have the same denominator)

= 48/54 + 45/54

= 93/54 (make it a mixed fraction)

1 and 39/54

(The second and third one are done the same way... make them have the same denominator by using their equivalent fractions (e.g 1/2 = 2/4), add the numerators ONLY... simplify the result)

1 and 6/9 divided by 5/6

(make the first number an improper fraction)

1 x 9 + 6 = 15 (this is the numerator...the denominator remains the same)

15/9 divided by 5/6 (reciprocate the number after the division sign and then change the division sign to a multiplication sign)

15/9 x 6/5

(Then simplify. e.g the 5 in 6/5 can be divided by the 15 in 15/9)

3/9 x 6/1

(The 6 in 6/1 and the 9 in 3/9 have a common factor... 3)

3/3 x 2/1

(3/3 = 1)

1 x 2

=2

(The other questions are done in the same way... Make the mixed fraction an improper fraction(This means the denominator is larger than the numerator)... reciprocate the number after the division sign (This means flipping it (e.g 2/3 becomes 3/2) then change the division sign to a multiplication sign and either directly multiply the result or simplify it first by dividing numerators with denominators (e.g instead of 9/3 x 12/4 = 108/12 = 9, you could say 1 divided 3 = 4 thus 9/1 x 4/4 (which is = 1) thus 9 x 1 = 9). Either way you should get the same answer whichever way you choose.

PS: YOU COULD ALSO USE A CALCULATOR TO CONFIRM YOUR ANSWER

#1

#2

#3

#4

#5

Step-by-step explanation:

x = the total money she had first.

x - x×1/4 - (x - x×1/4)×1/2 = 15

you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.

now, we can simplify :

(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4

x×3/4 - x×3/4 × 1/2 = 15

x×3/4 - x×3/8 = 15

we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :

x×3×2 - x×3 = 120

6x - 3x = 120

3x = 120

x = $40

she had $40 at the beginning.

Answer:

2.

Step-by-step explanation:

We can view this problem as 5-3=?.

5-3=2

So the missing number is 2.

Answer:

21

Step-by-step explanation:16+20/t, T=4 so its 16 + 20/4, 20/4 is 5, 16+5 = 21.

Answer:

x = 29/8

Step-by-step explanation:

7 - 5(2x - 9) = -(-6x + 10) + 4

7 - 10x + 45 = (6x - 10) + 4

-10x + 52 = 6x - 10 + 4

-10x + 52 = 6x - 6

52 + 6 = 6x + 10x

58 = 16x

x = 58/16 = 29/8

Answer:

Step-by-step explanation:

Let the total number of action figures = x

75% of x = 48

[tex]\dfrac{75}{100}*x=48\\\\Multiply \ by \ 100\\\\75*x =48*100\\\\Divide \ by \ 75\\\\x=\dfrac{48*100}{75}\\\\\\x=16*4\\\\x= 64[/tex]

Remaining action figures need to be collected = total figures - number of action figures I have

= 64 - 48 = 16

Number of weeks = 16 ÷ 2 = 8

It will take 8 weeks to collect 16 action figures.

Answer:

y=2.5x^2+102x+15.4

Step-by-step explanation:

Lets see some basics properties of shapes provided in the choices :

❑ A spєciαl tчpє σf prαllєlσgrαm, with ѕαmє prσpєrtiєѕ

❑ A ѕpєcíαl tчpє σf pαrαllєlσgrαm wíth αll ѕídєѕ єquαl (cσngruєnt) tσ єαch σthєr вut αll αnglєѕ αrє nσt nєcєѕѕαrílч 90°

❑ A ѕpєcíαl kínd σf rhσmвuѕ hαvíng αll ѕídєѕ єquαl αnd єαch αnglє mєαѕuríng 90°

[tex]\rule{20cm}{1 mm}[/tex]

☘ So, what we can conclude from the properties is that square has all required properties asked by the question.

hence, the correct choice is ' D '

[tex]\qquad \qquad\huge \dag\normalsize  \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

Step-by-step explanation:

just look at the line.

the distance between 2 whole numbers is split into 1/2, then each 1/2 again into 1/2 = 1/4, and then every 1/4 again into 1/2 = 1/8. so, in total, we are dealing with 8 segments of 1/8 length.

now we count : we have a full 1, and then on the way to 2 we get only 5 units of 1/8 = 5/8.

so, in total the number is

1 5/8

Answer:

812/1 = 1624/2 = 2436/3

= 3248/4 = 4060/5 = 4872/6

= 5684/7 = 6496/8 = 7308/9

= 8120/10 = 8932/11 = 9744/12

= 10556/13 = 11368/14 = 12180/15

= 12992/16 = 13804/17 = 14616/18

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

The list tends to be much bigger.

Hope this helps!

Answer:

Step-by-step explanation:

Fractions equivalent to 8/12:

There is an infinite amount, but this is how far I can get.

Answer:

OPTION B

Step-by-step explanation:

3sin(2x)=5cos(x)

3×(2sinxcosx)=5cos(x)

6sin(x)cos(x)=5cos(x)

6sin(x)cos(x)-5cos(x)=0 Factor out a cos(x)

cosx(6sinx-5)=0

The set of equation that models the point of intersection of the arrow

and the target is the option; y = -0.004·x² + 0.25·x + 8 and y = 0.22·x

The given parameters are;

Point of intersection of the line and the parabola is the point (48.63, 10.7)

Therefore, the point (48.63, 10.7) satisfies both the equation of the

parabola and the equation of the line, which by plugging in the value x =

48.67 in the different parabolas, we have;

The first set;

The linear function in the first set should be excluded, given y ≠ x in the

ordered pair.

In third set, y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, while, from the

ordered pair, we have;

y = C·x

10.7 = 48.63·x

[tex]C = \dfrac{10.7}{48.63} \approx \mathbf{0.22}[/tex]

Therefore;

y ≈ 0.22·x

The set of equations that best models the point of intersection of the arrow and target are therefore;

Learn more about the equation of a parabola here:

https://brainly.com/question/4294167

Answer:

Step-by-step explanation:

2)Cos²x - Sin² x = √2/2

Cos²x - Sin² x = Cos 2x

⇒ Cos 2x = √2/2

General solution for Cos 2x = √2/2 is

[tex]2x = \dfrac{\pi }{4}+2\pi n \ ; 2x=\dfrac{7\pi }{4}+2\pi n\\\\\\x = \dfrac{\pi }{2*4}+\dfrac{2\pi n }{2} \ ; \ x=\dfrac{7\pi }{4*2}+\dfrac{2\pi n}{2}\\\\\\x =\dfrac{\pi }{8}+\pi n ; \ x=\dfrac{7\pi }{8}+\pi n[/tex]

Option A

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]f(x)=5sin(\frac{x}{12})+14.5\\\\17=5sin(\frac{x}{12})+14.5\\ \\2.5=5sin(\frac{x}{12})\\ \\0.5=sin(\frac{x}{12})\\ \\\frac{x}{12}=\frac{\pi}{6}+2\pi n,\frac{5\pi}{6}+2\pi n\\ \\x=2\pi+24\pi n,10\pi+24\pi n[/tex]

Therefore, the fourth option is correct.

Problem 2

[tex]cos^2x-sin^2x=\frac{\sqrt{2}}{2}\\ \\cos(2x)=\frac{\sqrt{2}}{2}\\\\2x=\frac{\pi}{4}+2\pi n,\frac{7\pi}{4}+2\pi n\\ \\x=\frac{\pi}{8}+\pi n,\frac{7\pi}{8}+\pi n[/tex]

Therefore, the first option is correct.

Answer:

x = 0

Step-by-step explanation:

4(7 - 3x) = 7(4 - 2x)

28 - 12x = 28 - 14x        distributed

28 + 2x = 28                 added 14x to both sides

      2x = 0                    subtracted 28 from both sides

        x = 0                     divided both sides by 2

Step-by-step explanation: