Simplify:
6(2x2 – 5) = [?]
X=-3

Answer:

-2/3 gal per minute

Step-by-step explanation:

The pool drained 4 gallons in 6 minutes.

How many gallons per minute?

minutes: 6 min/6 = 1

gallons: 4 gal/6 = 2/3

-2/3 gal per minute (negative because the pool is draining)

Answer:

Thanks

Step-by-step explanation:

ADDFFFG

Step-by-step explanation:

[tex] \sf \hookrightarrow \: {n}^{2} = 20 \\ \sf \hookrightarrow \: \sqrt{ {n}^{2} } = \sqrt{20} \\ \sf \hookrightarrow \: n = \sqrt{20} \\ \star \bf \: n = 2 \sqrt{5} \\ \\ \sf \hookrightarrow \: {a}^{2} = 90 \\ \sf \hookrightarrow \: \sqrt{ {a}^{2} } = \sqrt{90} \\ \sf \hookrightarrow \: a = \sqrt{90} \\ \star \bf \: a = 3 \sqrt{10} [/tex]

Answer:

[tex]x = 1+\sqrt{2} = 2.4\\or\\x= 1-\sqrt{2} = -0.4[/tex]

Step-by-step explanation:

[tex]y = x^2-2x+5\\\\6=x^2-2x+5\\\\x^2-2x-1=0\\\\\\\frac{-b+-\sqrt{b^2-4ac} }{2a} = x\\a = 1, b = -2, c = -1\\\\\frac{2+-2\sqrt{2} }{2\\}\\\\x = 1+\sqrt{2} = 2.4\\or\\x= 1-\sqrt{2} = -0.4[/tex]

The value of the x is -0.4 when y = 6 and the graph is drawn on the left.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The quadratic equation,

y = x² – 2x + 5

To find the value of x:

When y = 6.

So,

x² – 2x + 5 = 6

x² – 2x - 1 = 0

Comparing the quadratic equation with standard quadratic equation,

ax²+ bx +c = 0

We get,

a = 1, b = -2 and c = -1

So,

x = {-b ±√(b²-4ac)}/2a

Substituting the values,

x = (2±√8)/2

x = 1 ± √2

x = 2.41421 and x = −0.414214

And the graph is drawn on the left so x = −0.414214 = -0.4 to one decimal place.

Therefore, the value of the x is -0.4.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ2

Answer:

D. 90

Step-by-step explanation:

If a triangle is inscribed inside of a circle, using the diameter as the hypotenuse, then the opposite angle of the hypotenuse is equal to 90 °

Because ΔABC is inscribed inside of the circle using the diameter it is a right triangle.

∠ABC is the angle opposite of the diameter therefore ∠ABC = 90°

Find the area of the room by multiplying the length by the width:

Area of room = 20 x 12 = 240 square feet.

Find the area of the tile: 2x 2 = 4 square feet.

To find the number of tiles divide the area of the room by the area of a tile:

240/4 = 60

They will need 60 tiles.

Answer:

120

Step-by-step explanation:

20*12=240

240/2=120

Answer:

an expression.

Step-by-step explanation:

have a nice day! ʀɪʙʙɪᴛ

~tsu-chan (>_<)

Answer:

value/expression

Step-by-step explanation:

Answer:lll

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

4x + x + 60 = 180

5x + 60 = 180

5x = 120

x = 24

Given:

The expression is:

[tex]6x^2+3x+21[/tex]

To find:

The factor of the given expression by GCF.

Solution:

We have,

[tex]6x^2+3x+21[/tex]

Here, 3 is the greatest common factor (GCF) of [tex]6x^2,3x,21[/tex].

Taking out GCF, we get

[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]

Therefore, the required factor form of the given expression is [tex]3(2x^2+x+7)[/tex].

Answer:

7 packets of grass seed

Step-by-step explanation:

First, find the area of the circular lawn using the formula, A = [tex]\pi[/tex]r²

If the diameter is 20 meters, the radius is 10 meters.

Plug in 10 as the radius and solve for the area:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](10²)

A = 100[tex]\pi[/tex]

So, the area of the lawn is 100[tex]\pi[/tex] m² or approximately 314.16 m²

Divide this by 50 to find how many packets of grass seed are needed:

314.16/50

= 6.28

Round this up to 7, since we need to have a whole number answer.

So, 7 packets of grass seed have to be bought.

Answer:

AC=35

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin54=AC/43

AC=43sin54

AC=34.78≈35

Answer:

Supplementary angles

Step-by-step explanation:

I took the test and this was the correct answer

Answer:

x+x+x=3x

2-1=1

3x+1

this is ansver

Answer:

Step-by-step explanation:

if your doisjw0= and yes it would be 35%

Answer:

where is the question?

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Answer: 105

Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!

Answer:

it is 0.18

Step-by-step explanation:

I took the test

Answer:

Y=50 , working shown below with process which works for any question of this type

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

Given

Trapezoid DEFG is dilated by a scale factor of  [tex]\frac{2}{3}[/tex]

[tex]E'F'=32[/tex]

Suppose the length of EF is [tex]x[/tex]

Multiply the side length of DEFG by [tex]\frac{2}{3}[/tex] to form E'F'

[tex]\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48[/tex]

[tex]\therefore EF=48[/tex]

Answer:

21 3/4

Step-by-step explanation:

3 times 7 1/4 since the scale is 1:7 1/4. Good luck!! :)

Answer:

12x-3

Step-by-step explanation:

Perimeter is : 3*(4x-1)

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

Length and Width

Here ^^

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A≈78.54

to be exact it would be 25

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bye have a good morning/afternoon/evening!! <3

- berry

Step-by-step explanation:

the area of a circle with the diameter of 10 is 78.5