IF a and bare roots of 3x² - 6x + 2=0 ,then find. a, a-b​

Answer:

-2 <= x <= 1/3

Step-by-step explanation:

it is the same as for equations.

the solution for a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

our parameters here are

a = 3

b = 5

c = -2

so,

x = (-5 ± sqrt(25 - -24))/6 = (-5 ± sqrt(49))/6 = (-5 ± 7)/6

x1 = (-5 + 7)/6 = 2/6 = 1/3

x2 = (-5 - 7)/6 = -12/6 = -2

since we are looking for smaller or equal, points of 0 will be part of the solution.

now we need to check each side of these points on the x-axis, if they are true or not to the inequality.

left of -2 : let's pick -3

3×(-3)² + 5×-3 -2 = 3×9 - 15 - 2 = 27 - 15 -2 = 10

this is NOT <= 0, so this interval does not fit.

similar, right of 1/3 : let's pick 1

3×1² + 5×1 - 2 = 3 + 5 - 2 = 6

this is NOT <= 0, so this interval does not fit either (as expected, as normally either both sides fit, or both fail).

lastly, in the middle between -2 and 1/3 : let's pick 0

3×0² + 5×0 - 2 = -2

this IS <= 0, so the interval between -2 and 1/3 fits.

Answer:

96

Step-by-step explanation:

[tex]\frac{24*64}{4*4}=96\\[/tex]

or

[tex]\frac{24}{4}=6, \frac{64}{4}=16\\6*16=96[/tex]

The minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The number of tiles will be calculated by calculating the area of the rectangular kitchen and the area of a tile then dividing the whole area by the area of a tile.

Area of kitchen,

A(k) = 64 x 24 = 1536 Square inches

Area of a tile,

A(T) = 4 x 4 = 16 square inches.

Divide the area of the kitchen by the area of a tile.

N = 1536 / 16 = 96 tiles

Therefore, the minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

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Answer:

Yes, you got the correct answer, it's y=-4

19°

The unknown angle be x

20:-

If unknown angle be x

[tex]\\ \sf\longmapsto x+76=180[/tex]

[tex]\\ \sf\longmapsto x=180-76[/tex]

[tex]\\ \sf\longmapsto x=104°[/tex]

Answer:

Step-by-step explanation:

1 t= S/V1= 12/20=0.6 hours

2 t =S/V2 = 12/16= 0.75 hours

3 12km

i guess they wanna determine the average V

Answer:

Vertex (5, 1)

Example of second point (4, 2)

Step-by-step explanation:

THe equation given is in vertex form so it will be easy to find the vertex

(x-5)^2+1

Vertex is at h,k and vertex form is y = a(x−h)^2 + k

x coordinate will be 5

y coordinate will be 1

vertex - (5, 1)

You can plot a second point by plugging in any number into the x or y

For example, if you set x to be 4,

(4-5)^2+1

1^2+1

1+1=2

Answer:

x=14

Step-by-step explanation:

g(x) = 2(x − 4)

Let g(x) = 20

20 = 2(x − 4)

Divide each side by 2

20/2 = 2(x-4)/2

10 = x-4

Add 4 to each side

10+4 = x-4+4

14 =x

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

Look a view at this picture

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

---------------------------------------

Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

---------------------------------------

Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

Answer:

The answer is B.

Step-by-step explanation:

Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!

Answer:

g(x) has the larger slope.

Step-by-step explanation:

f(x) = 4x + 2

- so its slope = 4.      ( from general form y = mx + c where m = slope).

The slope of g(x) = (3 - (-2) / (1 - 0)

= 5.

Answer:

a. grade 1 oak 519 ft.   520

b. grade 2 oak 795 ft.   800

c. grade 1 pine 323 ft.    320

d. grade 2 pine 477 ft.     480

Answer:

c. the radius

Step-by-step explanation:

To calculate the radius of a sphere:

r = d x ½

where d = diameter

Answer:

add each fraction together to make a whooe number

Step-by-step explanation:

for example 6/1+6/5=1 so add each fractiin together to make a whole number

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2) +3x(6-y) -7xy

Distribute

xy -2x +18x-3xy -7xy

Combine like terms

-9xy+16x

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2)+3x(6-y)-7xy

xy-2x+18x-3xy-7xy

xy-3xy-7xy-2x+18x

-9xy+16x

Answer:

Step-by-step explanation:

Consider straight line and complementary angle properties and use following equation:

Answer:

x=115 degrees

Step-by-step explanation:

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

Answer:

The answer is "[tex]v = \frac{50b}{v} = 50 \times b[/tex]".

Step-by-step explanation:

A single bottle of supercharging includes the equivalent of 50 vitamins.

Number of vitamins v = Total number of vitamins

b = the number of bottles that were used

Because each bottle contains one vitamin, you should multiply this total number of bottles (b) by the total amount of vitamins (50 vitamins).

[tex]v = \frac{50b}{v} = 50 \times b[/tex] so, Both are the same.

Answer:

i just did it- here ya go

Step-by-step explanation:

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

[tex]a_n=-1.5n+12[/tex]

Step-by-step explanation:

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

Answer:

your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is

Step-by-step explanation:

ydu is not working in the past two days in my head of my head to be in town on your phone is to

Material of 32 feet with the person is not sufficient to cover the square garden.

Tristan wants to build a square garden having area = 75 square feet

Since, Area of a square is given by the expression,

Area = (Side)²

By substituting the value of area in the expression,

75 = (Side)²

√75 = √(Side)²

5√3 = Side

Side = 8.66 feet

Since, perimeter of a square is given by the expression,

Perimeter of a square = 4(side)

Therefore, Perimeter of the square garden = 4(8.66)

                                                                        = 34.64 feet

A person has a material of length = 32 feet

If the length of the material is enough to cover the square field,

Length of the material ≥ Perimeter of the garden  

32 feet ≥ 34.64 feet

Which is false.

      Therefore, material is not of enough length to cover the square garden.

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Answer:

To the nearest ten, 330 would be the answer

To the nearest hundredth, the answer would be 332.75

Step-by-step explanation:

I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)

Answer:

D. 73.6 ft^2

Step-by-step explanation:

Using trigonometry to get our answer: (we can use SAS to find the area)

A = 0.5 * side a (10ft) * side b (16ft) * sin(67)

A = 80 ft * sin(67)

A = 73.64 ft

Answer:

We know that,

The sum of the two opposite angles of a circular quadrilateral is 180 degrees.

So,

[tex] \sf {47}^{ \circ} + 7x + {21}^{ \circ} = {180}^{ \circ} \\ = > 7x = {180}^{\circ} - {47}^{\circ} - {21}^{\circ} \\ = > 7x = 112 \\ = > x = \frac{112}{7} \\ = > x = {16}^{\circ} \\ [/tex]

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

Using the above theorem

47 + 7x + 21 = 180

7x + 68 = 180

7x = 180 - 68

7x = 112

x = 112/7

x = 16

Therefore value of x is 16°

Answered by Gauthmath must click thanks and mark brainliest

9514 1404 393

Answer:

  17.078 square units

Step-by-step explanation:

The area of a segment is given by the formula ...

  A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians

The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.

Then the segment area is ...

  A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units

Step-by-step explanation:

1235

Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.

So 2 is in tens.

Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.

HOPE ITS HELPFUL

Answer:

4544

Step-by-step explanation:

The underlined sentence means that the 2nd and third values must be different, for example

4554 has 5 in the 2nd and 3rd place so cannot be this

4545 and 4544 have 4 and 5 in 2nd/3rd place so this is fine

Since the number is even then it is 4544

Answer:

2.8

Step-by-step explanation:

use the distance formula in the picture:

[tex]\sqrt{(-1-(-3))^2+((-1)-1)^2} = \sqrt{2^2+(-2)^2} = \sqrt{4+4} = \sqrt{8} = 2\sqrt{2} = 2.8284[/tex]

Answer:

AB ≈ 2.8

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 3, 1) and (x₂, y₂ ) = B (- 1, - 1)

d = [tex]\sqrt{(-1-(-3))^2+(-1-1)^2}[/tex]

  = [tex]\sqrt{(-1+3)^2+(-2)^2}[/tex]

  = [tex]\sqrt{2^2+4}[/tex]

  = [tex]\sqrt{4+4}[/tex]

  = [tex]\sqrt{8}[/tex]

  ≈ 2.8 ( to the nearest tenth )

Answer:

2

Step-by-step explanation:

w