The function m is given in three equivalent forms.

Which form most quickly reveals the vertex?

Answer:

[tex](\frac{10}{3}, 1)[/tex]

Step-by-step explanation:

1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.

This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together.  (This work is shown in the first picture.)

Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.

2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:

[tex]3x + 7 (1) = 17\\3x + 7 = 17 \\3x = 10 \\x = \frac{10}{3}[/tex]

Therefore, the answer would be [tex](\frac{10}{3} , 1)[/tex].

Answer: ok

Step-by-step explanation:

Answer:

x>5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

4x−15>−2x+15

Step 2: Add 2x to both sides.

4x−15+2x>−2x+15+2x

6x−15>15

Step 3: Add 15 to both sides.

6x−15+15>15+15

6x>30

Step 4: Divide both sides by 6.

Answer:

x>5 have a great day

Step-by-step explanation:

Answer:  (2) (-8,10]

Step-by-step explanation:

Answer:

(2) (-8, 10]

Step-by-step explanation:

First, note that a bracket (“[“ and “]”) is inclusive and a parentheses ( “(“ and ”)” ) are exclusive.

For -8< x <= 10, -8 is excluded in the interval because x must be GREATER THAN (since -8 isn’t greater than -8) and 10 is inclusive in the interval because x must LESS THAN OR EQUAL TO 10 (since 10 is greater than or equal to 10).

So, using what we know, we put it together into interval notation: (-8, 10]

I hope this helps! :)

Answer:

Completing the square is always confusing, but if you keep in mind it's just a way to write  (A + B )^2  so that the problem is in some easier form it makes a bit better sense.  A perfect square has some helpful properties.. anyway..

Step-by-step explanation:

Given: [tex]x^{2}[/tex] - 12x +23 = 0   ( not a perfect square , tough to work with )

take 1/2 of the second term  coefficient  12/2 = 6   and square it

[tex]x^{2}[/tex] - 12x + ([tex]-6)^{2}[/tex] +23 = [tex](-6)^{2}[/tex]

[tex]x^{2}[/tex] -12x + [tex]6^{2}[/tex] +23 = [tex]6^{2}[/tex]

now there is a perfect square :)

(x - 6)^2 =36-23

(x - 6)^2 = 13

take the square root of both side now

x -6 = [tex]\sqrt{13}[/tex]

x = [tex]\sqrt{13}[/tex] +6

sooo  what is supposed to happen in these problems  is that square root of 13 is supposed to work out to something that is easy to find the root of ... maybe in your answers you left out the square roots?   so maybe A is right  :/

We want to solve a quadratic equation by completing squares.

What we need to use is the general relation:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

We will see that the solutions are:

[tex]x = 6 \pm \sqrt{13}[/tex]

We start with the equation:

[tex]x^2 - 12x + 23 = 0\\[/tex]

We can rewrite the middle term as:

[tex]x^2 - 2*6*x + 23 = 0\\[/tex]

Now remember that 6*6  = 36

Then we can add 13 and subtract 13 to get:

[tex]x^2 - 2*6*x + 23 + 13 - 13 = 0\\x^2 - 2*6*x + 36 - 13 = 0\\x^2 - 2*6*x + (-6)^2 - 13 = 0\\(x - 6)^2 - 13 = 0[/tex]

Then the solutions are:

[tex](x - 6) = \pm \sqrt{13} \\\\x = 6 \pm \sqrt{13}[/tex]

If you want to learn more, you can read:

https://brainly.com/question/17177510

Answer:

I don't know let me know what it is plez

sorry I can't be help now

If you're asking how this is possible,

Answer and explanation:

If Sandy and Allen's mother does the job in 5 hours

And Allen and Sandy's contributions completes the job in 2.5 hours

5 hours - 2.5 hours =2.5 hours

Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours

Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother

A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.

Answer:

2,4,1

Step-by-step explanation:

since mode means the number that occurs most often in the data set. The numbers 1,2, and 4 all occur three times meaning they occur most often

Answer:

Step-by-step explanation:

( 3x+2*4) (12+ 2*4)=

(3x +8)( 12+8)

20(3x+8)

Answer:

If the number is x, then the equation is;

x-m = 5 + n

Step-by-step explanation:

Here, we want to write the given statement in algebraic form

What number exceeds m by five more than n

Let the number be x

x-m = n + 5

Answer:

n = 5

Step-by-step explanation:

8n -(5n+6) = 9

8n -5n - 6 = 9

combine like terms

3n - 6 = 9

     +6    +6

3n = 15

divide both sides by 3

n = 5

Hope this helps!!!

Answer:

I would write out the two points and draw a big carrot sign connecting the x values, and then another one for the y values. then you put the x value of the midpoint at the end of the carrot sign and the y value of the midpoint at the end of the other carrot sign. then i would make another carrot sign connecting those two numbers and at the end of the carrot would be the answer. i dunno if that makes sense but thats what i would do to show your work on that.

Step-by-step explanation:

i hope this helped :))

Step-by-step explanation:

2x + 3 >= 7

2x >= 4

x >= 2

2x + 9 > 11

2x > 2

x > 1

Step-by-step explanation:

When f(x) > 0, the graph is above the x-axis.

Only -2 < x < -1 is above the x-axis. (A)

Answer:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Step-by-step explanation:

The question given is:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is?

First we will Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex]

[tex]7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14[/tex]

So, the polynomial we get is: [tex]4x^2-3x+14[/tex]

Now, subtracting [tex]4x^2-3x\: from\: 4x^2-3x+14[/tex]

[tex]4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14[/tex]

The difference is 14

So, Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Answer:

Answer:

third choice

Step-by-step explanation:

His final salary must be 100% so to find it,

100%/70%×$54500

=$77857.14≈$77857

Answer:

77,857$

Step-by-step explanation:

correct on odyssey

Andrew types faster than Jade

40/7 = 5.7 words per minute (Jade)

35/6 = 5.8 words per minute (Andrew)

May I have brainliest please? :)

Answer:

I believe the correct answer is C.

Step-by-step explanation:

When you put it in simplest firm they equal the same ratio:

1/5

Answer:

it increases by 5 basically if you graph it you will see the increase of the slope by 5 and its 10x,9y

Brainliest answer pls

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

please mark me brainliest and follow me my friend.

Answer:

[tex]H = 59.4[/tex]

Step-by-step explanation:

The question is an illustration of dilation.

From the small shape, we have:

[tex]Body = 3[/tex]

[tex]Height = 2.2[/tex]

From the big shape, we have:

[tex]Body = 81[/tex]

Height = ??

Because it is a dilation, the ratio of the bodies must be equal to the ratio of the heights

i.e.

[tex]Body_{Small} : Body_{Big} = Height_{Small} : Height_{Big}[/tex]

Substitute the right values

[tex]3 : 81 = 2.2 : H[/tex]

Express as fraction

[tex]\frac{3}{81} = \frac{2.2}{H}[/tex]

[tex]\frac{1}{27} = \frac{2.2}{H}[/tex]

Make H the subject

[tex]H = 2.2 * 27[/tex]

[tex]H = 59.4[/tex]

Hence, the height of the big shape is 59.4 units

.................................

Step-by-step explanation:

1=0.012inch

10=0.012x10

10=0.12inch

100=0.012x100

100=1.2inch

1000=0.012x1000

1000=12inch

because if 1 poster has a thickness of 0.012 inch

than you have to multiple the number of posters with 0.012 inch

Answer:

283:66 (A)

(Can I get brainliest please)

Answer:

Answer

Aaaaaaaa it had to be at least 20 characters

Answer:

32

Step-by-step explanation:

Solve for x:

Apply the value of x to 4x:

I hope this helps!

Answer:

x = 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

3x + 2x + 60° = 180°

Step 2: Solve for x

Answer:

I really did try man ;-;

Step-by-step explanation: