Which point is a solution to the system of inequalities below?
x+2y<1
x-4y>7

A (-4,-1)
B (2,-3)
C (3,-1)
D (4,-1)
​

Given:

The quadratic equation is

[tex]-2x^2-y+10x-7=0[/tex]

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

We have,

[tex]-2x^2-y+10x-7=0[/tex]

It can be written as

[tex]-2x^2+10x-7=y[/tex]

[tex]y=-2x^2+10x-7[/tex]           ...(i)

Here, [tex]a=-2,b=10,c=-7[/tex].

[tex]\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-10}{-4}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{5}{2}[/tex]

Putting [tex]x=\dfrac{5}{2}[/tex] in (i), we get

[tex]y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7[/tex]

[tex]y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7[/tex]

[tex]y=\dfrac{-50}{4}+25-7[/tex]

[tex]y=\dfrac{-25}{2}+18[/tex]

On further simplification, we get

[tex]y=\dfrac{-25+36}{2}[/tex]

[tex]y=\dfrac{11}{2}[/tex]

So, the vertex of the given quadratic equation is [tex]\left(\dfrac{5}{2},\dfrac{11}{2}\right)[/tex].

Therefore, the correct option is A.

Answer:

C ≈ 144.51m

explanation

C = 2 x pie(math's one not the other one) x r

C = 2 x pie x 23

C = 144.51

I hope this helps a little bit.

its 60 answer C.............

Answer:

b

Step-by-step explanation:

Answer: 90.93%

Step-by-step explanation:

M= 372

s= 26

n=36

P(365<x<380)

1. Find Z ----> 365-372 [tex]\sqrt{36}[/tex] = -1.6     Next Z---->  380 - 372 [tex]\sqrt{36}[/tex]=  1.8

                           26                                               26

2.  plug into calculator to find probablity: normalcdf(-1.6 , 1.8 ) = .90927 or 90.93% that the prob is between 365 and 380

Answer:

8y+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

A quarter-note.

Answer:

-0.2

I couldn't get step by step but hope this answer helps out a little...

(Do you need it for ur assignment?)

Step-by-step explanation:

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative

I wasn't sure if the comma was a typo in your question but I Hope this helps :)

Answer:

90

Step-by-step explanation:

I don't know to explain but I believe I'm right

Answer:

45 cm

Step-by-step explanation:

You use the formulas 1/2*base*height for area of a triangle and edge squared for the square so you do 1/2*2.24*3 for the area of one triangle, then times this by 4 to account for all triangles, then you add this to 3*3 which is the area of the square

Answer:

27.55ft

Step-by-step explanation:

28²-5²=x

784-25=759

square root of 759=27.55

Answer:

14x - 35

Step-by-step explanation:

:)

Answer:

I really hope it's right!

cut off the topright rectangle so there are 2 rectangles.

That will make it look like this

2x3=6

            +

5x3=15

            =

21

            The area of that shape would be 21 square feet

21 square ft                                                                                                                                              

u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;

9514 1404 393

Answer:

  D and E are each 62 cm

Step-by-step explanation:

Apparently, you want the total width of the bookcases to match the width of the wall.

  132 +92 +108 +w +w = 456

  332 +2w = 456

  2w = 124 . . . . . . . subtract 332

  w = 62 . . . . . . . . . divide by 2

The width of bookcases D and E is 62 cm.

Answer:

15 cm²

Step-by-step explanation:

Answer:

A, 5 days

Step-by-step explanation:

Let's set the number of days as x. Then, the amount of money each person earned is:

Chris: 75 * x

Pat: 50 * x + 125

Then, because these are equal amounts,

75x = 50x + 125

Subtract 50x from both sides.

25x = 125

Divide both sides by 25.

x = 5

So, they worked for 5 days, or option A.

Answer:

I believe it's A

Step-by-step explanation:

not sure but

Answer:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.

Answer:

600000000

Step-by-step explanation:

10^8=100000000

6×100000000=600000000

hope this helps

Answer:

9

Step-by-step explanation:

Answer:

9 clients ran at least 2 laps

Step-by-step explanation:

5 clients ran 2 laps, and 4 clients ran 3 laps

Answer:

C. In 2 seconds, the race car travels 180 meters.

Step-by-step explanation:

Answer:

get help here http://msflowersmath.weebly.com/uploads/2/7/8/6/27867809/8.3.pdf

Answer:

I'm so sorry for ur sister

Answer:

y= -3x + 3

Step-by-step explanation:

the point given tells you the y-int

given that y=mx + b, you can plug in the values

y= -3x + 3

Answer:

10

Step-by-step explanation:

Both angles will be equal as they are opposite angles

➝13x=130

➝x=130/13

➝x=10