Calculate the zeros of the function f(x) = x2 – 12x + 35 by completing the square.

1. 18.8 units

2. 3 units

3. 9.4 units

Breaking the circle into more sectors

1. The circumference of circle is 18.8 units

2. The height of parallelogram is 3 unit.

3. The approximate length of the parallelogram if the base were completely straight is 9.4 unit

4. The estimation is easier by breaking down into sector.

5. Area of Circle is 28. 26 unit²

The circumference of the circle is 2πr where is the radius of the circle.

1. The circumference of circle

= 2πr

= 2 x 3.14 x 3

= 18.8 units

2. From Figure the height of parallelogram is 3 unit.

3. The approximate length of the parallelogram if the base were completely straight

= 18.8 / 2

= 9.4 unit

4. The estimation is easier by breaking down into sector.

5. Area of Circle

= πr²

= 3.14 x 9

= 28. 26 unit²

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The probability of Amy and Zach to line up at the frond and last in the line will be 11.11%

The chances of happening of any random event is called as the probability. Here in the question there are 18 class students we need find that the first and the last position should be occupied by Amy  and jach.

Total outcomes =18

favourable outcome=2

So the probability of the Amy and Zach to stand in the front and the last in the line will be

[tex]P=\dfrac{2}{18}=0.11=11\%[/tex]

Hence the  probability of Amy and Zach to line up at the frond and last in the line will be 11.11%

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Answer:

6 rides

Step-by-step explanation:

Total balance = $13.50 = ($2.25/ride)x, where x is the remaining number of rides.  Dividing both sides by $2.25/ride yields 6.

Justin has enough on his bus card for 6 more rides.

First, -43-(-7) is the same as -43+7, which is equal to:-

-36

Is the answer positive or negative? The sign in front of 36 will tell us whether the number is positive or negative.

It is negative, because there's a minus sign next to it.

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

positive

Step-by-step explanation:

hope this helps.

Answer:

Due to the location of the marker, it is closest to:
C.) 10/16 = 5/8 lb.

Each pound is divided into 16ths since 10 sixths are represented by the marker then the answer would be 10/16.

10 / 16 = 5 / 8


10 divided by 2 = 5
----------------------------
16 divided by 2 = 8


Therefore 10 / 16 = 5 / 8.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

[tex]\frac{10}{16} =\frac{5}{8}[/tex]

Step-by-step explanation:

My answer is due to, it doesn't use the markers it goes by smaller numeral making me believe it uses the 16th instead of the 8th, also you can see it hits the tick mark for the bigger saying that is settled on making me think that is the answer.

To break it down why the others are not correct the [tex]\frac{4}{8}[/tex] is the mesurent saying it is half which it clearly is not half way. The other is [tex]\frac{7}{8}[/tex] butyou can see the marker is not nearly close enough for it to be almost to a pound. and the last option 1[tex]\frac{5}{8}[/tex] doesn't make sense it seems it would have to be more then a pound.

Answer:

? = 4

Step-by-step explanation:

2/13 + ?/13 = 6/13        (Given)

-2/13               -2/13      (Isolate the unknown through subtraction)

?/13 = 6/13 - 2/13        

?/13 = 4/13                    (Combine like terms)

? = 4

Because the demoninators are the same, the unknown value can be found using isolation techniques. To find the unknown, subtract 2/13 from both sides. This eliminates the 2/13 from the right side while obeying the rule that states that what is done to one side must to done to the other. This leaves the ?/13 by itself on the right and 4/13 on the left. Again, because the demoninators are identical, the unknown value must be 4.

The experimental probability of a blue outcome is its likelihood

The experimental probability of blue is 0.4

The number of trials is given as:

Trials = 5

The outcomes of blue is given as:

Blue = 2

The experimental probability of obtaining a blue outcome is:

P(Blue) = Blue/Trials

This gives

P(Blue) = 2/5

Evaluate the quotient

P(Blue) = 0.4

Hence. the experimental probability of blue is 0.4

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0.4

the reciprocal of 0.4.

it'll be easier if you convert to fraction first, which gives you:

=2/5

then reciprocal:

=5/2

in decimal form= 2.5

Answer:

4/5

Step-by-step explanation:

the slope formula is y(2)-y(1)/x(2)-x(1) which is

-6-6/-9-6=

-12/-15=

4/5

Answer: Your answer is indeed D. Inverse variation.

Hope this helped!

Answer:

first question:

inverse variation

second question:

for evenly spaced x-values, the ✔ difference of consecutive y-values is not constant.

Step-by-step explanation:

hope this helps!! have an amazing day <3

Answer:

12.3

Step-by-step explanation:

cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3

Answer:

already answered

Step-by-step explanation:

go to this

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Answer:

297 ft squared

Step-by-step explanation:

find the area of the triangle, which is (bh)/2

(22*7)/2=77

find the area of the rectangle (bh)

22*10=220

add

77+220=297

The time taken by Nadia for her entire journey is 5 hours

Speed is the rate at which an object is moving, and it is defined as the distance traveled per unit of time. The formula for speed is:

           Speed = Distance/Time

Where distance is the distance traveled by an object and time is the time taken to travel that distance.

From the fomrula, we can write as

          Distance = Speed × Time

Here we have

Nadia walks at an average speed of (x + 2) km/h for (x – 3) hours and cycles at an average speed of (3x + 5) km/h for x hours.

As we know, Distance = Speed x Time  

Distance walked = (x + 2)(x - 3)

Distance cycled = (3x + 5)(x)

The total distance covered is given as 74 km,

=> (x + 2)(x - 3) + (3x + 5)(x) = 74

=> x² - 3x + 2x - 6 + 3x² + 5x = 74

=> 4x² + 4x - 80 = 0

Hence, the final equation is 4x² + 4x - 80 = 0

(ii) The quadratic equation, can be solved as follows

=> x² + x - 20 = 0  

=> x² + 5x - 4x - 20 = 0

=> x(x + 5) -4(x + 5) = 0

=> (x + 5) (x - 4) = 0

=> x = - 5 and x = 4

Here we cant take time as negative so take x = 4 hours

(iii) To find the time taken for her entire journey, we need to add up the time taken for walking and cycling:

Total time = (x - 3) + x

Total time = 2x - 3

Substituting the value of x  

Total time = 2(4) - 3 = 8 - 3 = 5

Therefore,

The time taken by Nadia for her entire journey is 5 hours

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Answer:

circumference

Step-by-step explanation:

circumference shows us how sowmthing goes around. like have you ever been to the doctor and they said theyre checking a babys head circumference? theyre checking it all over.

Answer:

His model can be improved by removing one of the 2s from the deck.

Step-by-step explanation:

His model can be improved by removing one of the 2s from the deck.

Answer:

His model can be improved by removing one of the 2s from the deck.

Step-by-step explanation:

Plato/Edmentum

Answer:

62

Step-by-step explanation:

5x2 = 10

3x5=15

5x2=10

3x5=15

2x3=6

2x3=6

__________ (Add togther)

= 62 in

Hope this helps :)

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:

[tex]n = 80, \pi = \frac{26}{80} = 0.325[/tex]

Then, the margin of error is of:

[tex]M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524[/tex]

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Answer:

Least to greatest: 0.4, 0.47, 0.482

Explanation:

90° is 90/360 = 1/4 of a full 360° rotation. Meaning that if the central angle of the pizza slice is 90°, then we have four equal slices.

One slice is 7 square inches, so all four slices combine to 7*4 = 28 square inches

Answer:

1. B. one is acute and the other is obtuse

2. D. no determination can be made

3. B. right

4. D. it cannot be determined

Step-by-step explanation:

1. If ∠KAT and ∠GIF are supplementary angles then one is acute and the other is obtuse

example : m∠KAT = 70° and m∠GIF = 110°

2.If ∠DEF and ∠IPN are congruent, they are no determination can be made

counter-example:

m∠DEF = 50° and m∠IPN = 50°

3.If the sides of a triangle measure 3, 4 and 5, then the triangle is right

because : 5² = 3² + 4²

4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is it cannot be determined

The answer is B

seeing there are 3 way to put it

(a+b)(a-b)=a 2-b 2

(a+b)(a-b)=a^2-b^2

(a+b)(a-b)=a2-b2

and option B matches with the second way to put it i hope this helps

A quadratic equation is represented by the form ax^2+ bx + c = 0

The values of a, b and c are 1, -3 and -5, respectively

The solution is given as:

[tex]x = \frac{3 \pm \sqrt{29}}2[/tex]

The solution to a quadratic equation is represented as:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

By comparing [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex] and [tex]x = \frac{3 \pm \sqrt{29}}2[/tex], we have:

-b = 3

So, b = -3

Also, we have:

2a = 2

So, a = 1

Also, we have:

b² - 4ac = 29

Substitute values for a and b

(-3)² - 4 * 1 * c = 29

This gives

9 - 4c = 29

Subtract 9 from both sides

-4c = 20

Divide by -4

c = -5

Hence, the values of a, b and c are 1, -3 and -5, respectively

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[tex]\textbf{7).}\\\\2g^2 +5g+3\\\\=2g^2 +3g+2g+3\\\\=g(2g+3)+(2g+3)\\\\=(g+1)(2g+3)\\\\\\\textbf{10).}\\\\-6k^2+5k+21\\\\=-(6k^2 -5k-21)\\\\=-(6k^2-14k+9k-21)\\\\=-\textbf{[}2k(3k-7)+3(3k-7) \textbf{]}\\\\=-(2k+3)(3k-7)\\[/tex]

Answer: [tex]\frac{12}{19}[/tex]

The quotient of 36 and a whole number increased by 3, is 20 less than four times the number. The solution to the algebraic equation here are 6 and -4.

An algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some field, often the field of the rational numbers.

The algebraic equation becomes =

[tex]\frac{36}{x+3}-20 = 4x\\[/tex]

We simplify the equation to find the value of x.

[tex]=\frac{36}{x+3}+20 = 4x\\\\= \frac{36}{x+3} = 4x -20\\\\= \frac{36}{x+3} = 4(x-5)\\\\=36 = 4(x-5)(x+3)\\\\=9 = (x-5)(x+3)\\\\=x^2-5x+3x -15 = 9\\\\= x^2-2x-24=0\\\\=x^2-6x+4x-24=0\\\\=x(x-6)+4(x-6) =0\\\\=(x+4)(x-6) =0\\\\x = -4,6[/tex]

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Answer:

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Answer:

y = 6 x + 1

y = 1 x + 1

'^' :)))))