Which shows the equation below written in the form ax2 + bx + c = 0? 2x2 - 3 = -6x - 2
A. 2x2 + 6x - 5 = 0
B. 2x2 - 6x - 1 = 0
C. 2x2 + 6x - 1 = 0
D. 2x2 - 6x - 5 = 0​

Answer:

[tex]y = (x +1)^2 - 1[/tex]

Step-by-step explanation:

Given

[tex]Vertex = (-1,-1)[/tex]

Required

Determine the equation

The equation of a graph from a vertex is:

[tex]y = a(x - h)^2 + k[/tex]

Where

[tex]a = 1[/tex]

[tex](h,k) = (-1,-1)[/tex]

Substitute these values in [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 1(x - (-1))^2 + (-1)[/tex]

Express -(-1) as 1

[tex]y = 1(x +1)^2 + (-1)[/tex]

Express +(-1) as -1

[tex]y = 1(x +1)^2 - 1[/tex]

[tex]y = (x +1)^2 - 1[/tex]

Hence, the equation is:

[tex]y = (x +1)^2 - 1[/tex]

Answer:

switch I think cuz there is a negative

Step-by-step explanation:

Hope u have a nice day

Answer:

switch

Step-by-step explanation:

whenever u divide a number by a negative number across the inequality, the inequality sign switches

Answer:

25%

Step-by-step explanation:

the formula is:

1-(new price/old price), which =

1-(45/60)=

1-3/4=

4/4-3/4=

1/4=

.25 or 25%

Hope this helps! :)

Answer:

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

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

x(x - 5) = [tex]x^{2}[/tex] - 5x

4(x - 5) = 4x - 20

[tex]x^{2}[/tex] - 5x + 4x - 20 = 4

[tex]x^{2}[/tex] - x - 20 = 4

[tex]x^{2}[/tex] - x - 20 - 4 = 0

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Answer:

0.75x=36

x=48

You need to sell 48 newspapers.

Step-by-step explanation:

0.75x=36

Divide both sides by 0.75 to isolate the variable x.

36÷0.75=48

x=48

Check your answer

48 × 0.75 = 36

Answer:

b There is No Solution for this system

Step-by-step explanation:

When graphing out equations, the two equations have to intersect at one point to have a solution. If they are parallel, it means that they will never intersect at one point and thus there is no solution for the system. A pair of lines would only have infinitely many solutions when both lines are at the same position travelling in the same direction, overlapping each other.

Answer:

The answer is the 3rd one or C

hope this helps:)

Step-by-step explanation:

Answer:

The length is 12 cm, and the width is 9 cm.

Step-by-step explanation:

The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.

We can use the Pythagorean theorem to write an equation.

Let the width = w = leg a

The length = w + 3 = leg b

The diagonal = the hypotenuse = 12 = c

a^2 + b^2 = c^2

w^2 + (w + 3)^2 = 15^2

w^2 + w^2 + 6w + 9 = 225

2w^2 + 6w - 216 = 0

w^2 + 3w - 108 = 0

(w + 12)(w - 9) = 0

w + 12 = 0   or   w - 9 = 0

w = -12   or   w = 9

Since a width cannot be a negative number, we discard the solution w = -12.

width = w = 9

length = w + 3 = 9 + 3 = 12

Answer: The length is 12 cm, and the width is 9 cm.

Answer:

-1

Step-by-step explanation:

Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14

Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)

New Equation: 5x-18 = 9x-14

add 14 to both sides: 5x-4 = 9x

Subtract 5x from both sides: -4 = 4x

Divide both sides by 4 to get: -1 = x

Answer: x = -1

Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].

Given:

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

To find:

The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].

Solution:

We have,

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

Using distributive property, we get

[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]

[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]

[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]

On combining like terms, we get

[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]

[tex]=22+2\sqrt{2}[/tex]

On comparing with [tex]b+c\sqrt{2}[/tex], we get

[tex]a=22,b=2[/tex]

Therefore, the required form is [tex]22+2\sqrt{2}[/tex].

Answer  

1,863.5

Step-by-step explanation: add 165.85 +20.50 =186.35 the do 186.35 x 10 =1,863.5

The area of the rhombus will be 96 square units. Then the correct option is B.

The missing diagram is attached below.

Let a be the length and h be the height of the rhombus.

Then the area will be

Area = a × h square units

If x = 12 units, y = 4 units, and h = 8 units.

Then the area of the rhombus will be

A = 12 × 8

A = 96 square units.

Then the correct option is B.

More about the area of the rhombus link is given below.

https://brainly.com/question/15458057

#SPJ1

Answer:

96

Step-by-step explanation:

Answer:

m = 12n

Step-by-step explanation:

M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.

Answer:

199 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

58 CM

Step by Step explanation.

1, 2, 4, 8, 21, 27

4+8= 12

12÷2= 6

Answer:

6

9514 1404 393

Answer:

  (a) 2, 6

  (b) 155/8, -155, 8x² -155x -1 = 0

Step-by-step explanation:

(a) The equation in standard form is ...

  x^2 -(4+k)x +4k +1 = 0

Then the discriminant is ...

  (4+k)^2 -4(1)(4k+1) = 4^2 +8k +k^2 -16k -4 = k^2 -8k +12 = (k -2)(k -6)

The roots are equal when the discriminant is zero. The values of k that make the discriminant be zero are k=2 and k=6.

__

(b) a^3 + b^3 = (a +b)(a^2 -ab +b^2) = (a+b)((a+b)^2 -3ab)

  = (5/2)((5/2)^2 -3(-1/2)) = (5/2)(25/4 +3/2) = 155/8 = α³ +β³

  1/a^3 +1/b^3 = (a^3 +b^3)/(ab)^3 = (155/8)/(-1/2)^3 = -155 = 1/α³ +1/β³

The desired equation can be written from ...

  (x -a^3)(x -b^3) = 0

  x^2 -(a^3 +b^3)x +(ab)^3 = 0

  x^2 -155/8x -1/8 = 0 . . . . .substituting known values

  8x^2 -155x -1 = 0

Answer:

(1) -27

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

Note the point values: (x , y) = (1 , 8) ∴ x = 1, y = 8

Plug in the corresponding numbers to the corresponding variables in the equation:

y > x + 5

(8) > (1) + 5

8 > 1 + 5

8 > 6

8 is greater than 6, ∴ y is greater than x + 5.

~

Answer:

yes it would

Step-by-step explanation:

x=1 + 5 is six

y=8

8 > 6

8 > 1

i think that's right lol

Answer:

a = 8

Bottom and top length are 68

left and right are 28

Step-by-step explanation:

6a + 20 = a + 60 (same length do to the little tick marks)

5a = 40 (subtract 1a from both sides and 20 from both sides)

a = 8 (Divide)

Answer: A = 8

Step-by-step explanation:

Since Side BC and AD are equal

then we can plug both equations to each other to find A

6a + 20 = a + 60

solve it

6a + 20 = a + 60

    - 20        -20

6a = a + 40

-a     -a

5a = 40

a = 8

You can now find the length of all sides :)

Answer:

71

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

hope this helps

Answer:

where the graphs?

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

3x + 2(2x − 1)= 33

simplify

3x + 4x - 2 = 33

7x - 2 = 33

add 2 to both sides

7x - 2 + 2 = 33 + 2

7x = 35

divide both sides by 7

7x/7 = 35/7

x = 5

Answer:

2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.