Help with number 3 please

The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

From the graph, we have the following highlights

The above highlights mean that:

So, the function of the polynomial is:

[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]

Assume a = 1.

So, we have:

[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]

Multiply

[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]

Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

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Answer:

y = 2/5x

Step-by-step explanation:

in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:

y = mx + 0

in order to find the slope, we'll do y2-y1 / x2 - x1:

2-0

5-0

m is 2/5, so the answer is:

y = 2/5x

Step-by-step explanation:

the change rate between the data points gives us the print rate.

so,

(f(x2) - f(x1)) / (x2 - x1)

starting with x1 = 10 and x2 = 15 we see

(133 - 98) / (15 - 10) = 35/5 = 7

that means he is printing 7 pages per minute.

we see that we have the same difference (35 prints) for every following 5-minute interval.

so, that is the confirmed print rate.

and yes, the amount is increasing, of course.

after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.

so, he started with 98-70 = 28 flyers before actually printing new ones.

Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

Answer:

  c = -0.7

Step-by-step explanation:

It looks like you have the proportion ...

  [tex]\dfrac{3.8}{4c+3}=\dfrac{2}{\left(\dfrac{2}{19}\right)}\\\\0.4=2(4c+3)\qquad\text{cross multiply}\\\\0.4=8c+6\qquad\text{eliminate parentheses}\\\\-5.6=8c\qquad\text{subtract 6}\\\\\boxed{c=-0.7}\qquad\text{divide by 8}[/tex]

Answer:

c = -0.7

Step-by-step explanation:

[tex]\rm⇢ \: \: \frac{3.8}{(4c + 3)} = \frac{2}{( \frac{2}{19} )} [/tex]

[tex]\rm⇢ \: \: 2(4c + 3) = 3.8( \frac{2}{19} )[/tex]

[tex]\rm⇢ \: \: 8c + 6 = 0.4[/tex]

[tex]\rm⇢ \: \: 8c = - 5.6[/tex]

[tex]\rm⇢ \: \: c = - 0.7[/tex]

Answer:

okay wait

Step-by-step explanation:

Answer:

70-x

Step-by-step explanation:

The expression which represents the change that Ingrid will get back for purchasing for $x will be 70 - x thus option (C) is correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

Amount of money that Ingrid have = $70

Amount of money Ingrid purchased = $x

Change back = 70 - x

Hence "The equation that describes the change Ingrid will receive for spending $x is 70 - x".

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Answer:

If you need it as a fraction then it is 1/18  

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/6= 83.33%

9/11= 81.81%

1 3/7= 142.85%

Answer:

(x) 83.(3)%

(xi) 81.(81)%

(xii) 142.(857142)%

Step-by-step explanation:

The thing to do is perform the division and write it as percentages.

Please note that all 3 of those are infinite fractions, so

83.(3) means 83.33333333333333333...

81.(81) means 81.8181818181818181...

142.(857142) means 142.857142857142857142857142857142...

If you wanted to round to nearest % or something, you can do that.

Eg. rounding to 2 places after the period:

83.(3)% ~= 83.33%

81.(81)% ~= 81.82%

142.(857142)% ~= 142.86%

Answer:

-2

Step-by-step explanation:

The interval [-6. -4] refers to x values.

At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis

At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.

The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)

= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2

Answer:

meet with large cereal companies to take test the safety of their products.

Step-by-step explanation:

Answer:

sorry id like to help but i need more info.

Step-by-step explanation:

i hope this helps!

open circle on 7 shaded to the right

Answer:

D: 1

Step-by-step explanation:

There's only one number there between 6-10.

Answer:

Xander has 140 friends

Kennedy has 92 friends

Step-by-step explanation:

Let x represent # of friends Xander has at the start

Let x+11 represent # of friends Kennedy has at the start

Let 2(x+11) rep. the final # of friends Kennedy has

Let 4x rep. the final # of friends Xander has

Total = 232

So we just need to solve for x:

2(x+11) + 4x = 232

2x + 22 + 4x = 232

6x = 210

x = 35             < - This means that xander started with 4 friends.

Sub x to find friends for each:

4x = ?

4(35) = 140 friends

2(x+11) = ?

2(35+11) = 92

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

10x-1=10x+4

10x-10x=4+1

x=5

Answer:

yes, it is a polynomial function because all of the exponents are non-negative; standard form is f(x) = -3x⁴ + 1/2x² - 7

Step-by-step explanation:

standard form is placing all terms in decreasing exponent order

Answer:

it is a polynomial because all of the exponents are non-negative

standard form f(x)=-3x^4+1/2^2-7

Step-by-step explanation:

Hope it helps

Have a nice day : )

Answer:

23.83

Step-by-step explanation:

Answer:

Cost of 1 = 30

So cost of 8kg apples=8*30

=240

Step-by-step explanation:

If two lines intersect, then there is only one solution - where they cross.

Looking at the graph, we can see the intersection point of these two lines.

The intersection point is (1,1) - one unit to the right of the origin and one unit up.

Hope this helps! :)

Answer:

Step-by-step explanation:

A( - 1 , - 3 ) ------> A' ( - 2 , - 1 )

B( 4 , - 3 ) ------> B' ( 8 , - 1 )

C( 4 , 3 ) ------> C' ( 8 , 1 )

D ( - 1 , 3 ) ------> D' ( - 2 , 1 )

Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.

Hope that helps

Answer:

$49.297

Step-by-step explanation:

21.5% x 3

divide answer by $76.43

leaves you with how much interest you have earned in 3 months.

3.14 is used for pi.

6.  r = [tex]\sqrt{\frac{A}{\pi } }[/tex]

14.00

7. d = [tex]\frac{c}{\pi }[/tex]

5.00

8. d = [tex]2 \sqrt{\frac{A}{\pi } }[/tex]

23.01

9. r = [tex]\frac{c}{2\pi }[/tex]

20.01

10. d[tex]\pi[/tex] = [tex]2 \sqrt{{A}[/tex]

31[tex]\pi[/tex]

11. r[tex]\pi[/tex] = [tex]\frac{c}{2}[/tex]

22.5[tex]\pi[/tex]

Hope this helps :)

Answer:

12. 95.03

13. 52π mm or 52 mm

14. 119.38 meters

15. 227 in²

Note: (make sure to double check all of these because it never hurts to).

Friend, the answer is: x= 21/11, y=17/11

Answer:

c.-2.5 ,because[2.5]=2.5

Step-by-step explanation:

I hop this is fine

Answer:

B part

Step-by-step explanation:

2.5 because |2.5| = 2.5 and it's never negative.

Hope it helps :)

Answer:

15

Step-by-step explanation:

Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.

Answer:

x = 9

Step-by-step explanation:

Each angle equals 60 since it is an equilateral triangle

7x-3 = 60

add 3

7x = 63

divide by seven on both sides

x = 9

I hope this helps!!

Answer:

x = 5f - a

Step-by-step explanation:

6x + a = 5(x + f)

6x + a = 5x + 5f

x = 5f - a