Use the parabola tool to graph the quadratic function f(x) = x2 – 12x + 27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
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10
9
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D
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1

Answer: p+1

Step-by-step explanation:

3(2/3p+3-1/3p)

=3(1/3p+3)

=p+1

Answer:

See image

Step-by-step explanation:

These are "complex numbers" because they have the imaginary number, i, in the expression.

The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply

(x+2)(x+5)

= x^2 + 7x + 10

This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)

**SUPER IMPORTANT NOTE: i^2 is equal to -1

These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.

Answer:

y = 7

Step-by-step explanation:

0.3y+0.6 = 9.7 - y

0.3y+y = 9.7 -0.6

1.3y = 9.1

y= 7

sorry it had an error

Answer:

The abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics )..

Ex :- Plus , minus

Mathematics is a very important field of study in human society that can be described as the study of:

Mathematics is a science and one that is constantly evolving to allow us better understand our surroundings.

There are several ways to study the subjects described above such as by applying them to things such as engineering and other sciences, or simply studying them on their own.

In conclusion, math is a science of numbers.

Find out more on mathematics at https://brainly.com/question/14473572.

get ratioed                           skull skull

Answer:

I'm not sure but I think it's everything outside of circular, graphic and reflective. I'm only unsure with the last one but since it's 4 point I would assume it's 4 answers.

Answer:

I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...

Step-by-step explanation:

Answer:Bones Day

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

Each step is 0.7 m, so 10,000 steps will be 0.7(10,000 m) = 7,000 m. Of course 0 steps is 0 meters, so the graph is a straight line with a slope of 0.7.

did i hear help i will help you soooooooo oooooooooo

The volume of a shape is the amount of space in it.

(a) The volume of one table leg

Represent the side length of the leg with l, and the side length of the notch with n.

So, the expression that represents the volume of one table leg is:

[tex]V = l^3 + n^3[/tex]

(b) The length of the sides

From the question, we have:

[tex]n = 40\% \times l[/tex]

Express 40% as decimal

[tex]n = 0.40 \times l[/tex]

[tex]n = 0.4l[/tex]

Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]

[tex]V =l^3 + (0.4l)^3[/tex]

[tex]V =l^3 + 0.064l^3[/tex]

[tex]V =1.064l^3[/tex]

The volume of the 4 legs is given as: 12636

So, the volume of one leg would be 12636/4

So, we have:

[tex]1.064l^3 = \frac{12636}{4}[/tex]

[tex]1.064l^3 = 3159[/tex]

Divide both sides by 1.064

[tex]l^3 = 2968.985[/tex]

Take cube roots of both sides

[tex]l = 14.37[/tex]

Hence, the sides of the legs is 14.37 inches long

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Answer:

X = 7

Explanation

2x-6=8

2x=6+8

2x=14

2x/2 = 14/2

x = 7

Answer:

Given: The equation of the line y = 3x+2

The condition for a point to be on a line is to satisfy its equation

(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation

3 = 3(1/3) + 2

= 1 + 2

= 3

Hence, (1/3, 3) lies on the line

(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation

8 = 3(2) + 2

= 6 + 2

= 8

Hence, (2, 8) lies on the line

(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation

2 = 3(0) + 2 = 2

(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation

19 = 3(7) + 2

= 21+ 2

= 23 ≠ 19

Step-by-step explanation:

Answer:

Ok that is good

Step-by-step explanation:

Answer:

k = 3.2

Step-by-step explanation:

2 - 4(3 + 4k) = 54

=> 2 - 12 + 20k = 54

=> -10 + 20k = 54

=> 20k = 64

=> k = 3.2

Hoped this helped.

Answer:

reflection over x-axis

hope that helps!!!

We want to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.

We will see that the correct option is D: 9,000

The total number of different combinations is given by the product between the number of options for each selection.

Here we have 4 selections.

Now let's find the number of options for each of these:

The total number of different combinations is just the product of these 4 numbers:

C = 9*10*10*10 = 9,000

So we can conclude that the correct option is D.

If you want to learn more about combinations, you can read:

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Answer:

just took the test

Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.

Step-by-step explanation:

First, let's solve for how many questions Sarah got correct.

80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:

[tex]\frac{8}{10}=\frac{?}{75}[/tex]

Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60

So, Sarah got 60 out of 75 questions correct.

To find how many she missed, we can simply subtract 60 from 75 to get 15.

So, Sarah got 15 out of 75 questions wrong.

Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.

15 ÷ 75 = 0.2

0.2 X 100 = 20

So, Sarah got 20% of the questions wrong.

Answer:

D. 3 1/4

Step-by-step explanation:

Answer:

your answer would be D.

Step-by-step explanation:

all you have to do for this equation is subtract the whole numbers to get 3. and then subtract the fractions, you would get 2/8, then you would simplify it and get 1/4.

Answer:

y = 10x + 6.

Step-by-step explanation:

y = mx + c

Here  the slope m = 10 and c = 6 ( the y-intercept)

It's 6 because the point (0, 6) lies on the y-axis (where x = 0).

Answer:

25

Step-by-step explanation:

Answer:

The answer for your problem will be 0.0625

[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]

Answer:

x1=7/4, x2=-3

Step-by-step explanation:

[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]

Answer:

  A  f(x) = x/((x+5)(x-2))

Step-by-step explanation:

The vertical asymptotes at +2 and -5 indicate that (x -(+2)) and (x -(-5)) are factors of the denominator.

The zero at x=0 indicates (x -0) is a factor of the numerator.

The simplest function that will give a graph like this is ...

  f(x) = x/((x +5)(x -2))

Answer:

2.5 ×  [tex]10^{-5}[/tex]

Step-by-step explanation:

I hope this helps!!

Answer:

-4.3

Step-by-step explanation:

a+(-1.2)= -5.5

a-1.2=-5.5

add 1.2 to both sides

a-1.2+1.2= - 5.5+1.2

simplify

a= - 4.3

Answer:

a=-4.3

Why?:

You would have to keep the answer negative, this is because if it were to be positive it would make the negative decrease.

You could easily get a line paper and line up-

-4.3

+ -1.2

_______

-5.5

-5.5-(-1.2) would make the equation end up like -5.5+1.2, and -5.5+1.2=-4.3

Therefore,

a=-4.3

Answer:

D) The answer is AB and HG

Step-by-step explanation:

sides that are equal:

AD=EH

DC=EF

BC=FG

AB=HG

[tex]\text{Apply Pythagorean theorem,}~ \text{Hypotenuse side}^2 = \text{Opposite}^2 + \text{Adjacent side}^2[/tex]

[tex]12^2 =y^2 +8^2\\\\\implies y^2 = 12^2 -8^2 \\\\\implies y^2 = 80\\\\\implies y =\sqrt{80} = \sqrt{16\times 5}= 4\sqrt 5~~ \text{Units}[/tex]

[tex] \: \: \: \: [/tex]

[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

What is an ellipse?

The standard form of the ellipse is defined as;

x² / a² + y² / b² = 1

Where, a < b

Minor axis of the ellipse = 2a

And, Major axis of the ellipse = 2b

Given that;

The equation of the ellipse is,

(x−3)² / 18 + (y+4)² /32 = 1

Now,

We can compare with the standards form of an equation of ellipse, we get;

a² = 18

a = √18

And, b² = 32

b = √32

Clearly, √18 < √32

That is; a < b

So, The minor axis of the ellipse = 2a

                                                  = 2√18

And, The major axis of the ellipse = 2b

                                             = 2√32

Therefore,

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

Learn more about the ellipse visit:

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