A?
B?
C?
D?
Who ever is right gets brainlest <3

Rational root theorems are used to determine the potential roots of a polynomial function

The function is given as:

[tex]f(x) = 2x^2 + 2x - 24[/tex]

Expand

[tex]f(x) = 2x^2 + 8x - 6x - 24[/tex]

Expand

[tex]f(x) = 2x(x + 4) - 6(x + 4)[/tex]

Factor out x + 4

[tex]f(x) = (2x -6)(x + 4)[/tex]

Set to 0

[tex](2x -6)(x + 4) = 0[/tex]

Split

[tex](2x -6) = 0\ or\ (x + 4) = 0[/tex]

Make x the subject in both cases

[tex]2x = 6\ or\ x= -4[/tex]

Solve for x

[tex]x = 3\ or\ x= -4[/tex]

So, the actual roots are 3 and -4

Recall that, the function is:

[tex]f(x) = 2x^2 + 2x - 24[/tex]

For a function,

[tex]f(x) = px^n + ax^{n-1} +.......+q[/tex]

According to rational root theorem, the roots of f(x) are:

[tex]Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

The roots of 24 are:

[tex]24 = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]

The roots of 2 are:

[tex]2 = \pm1, \pm2[/tex]

So, the possible roots are:

[tex]Roots = \frac{\pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24}{\pm 1, \pm 2}[/tex]

This gives:

[tex]Roots = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24,\pm0.5, \pm1, \pm 1.5, \pm 2, \pm 3, \pm 4, \pm6\pm 12[/tex]

Remove repetitions

[tex]Roots = \pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]

Read more about rational root theorem at:

https://brainly.com/question/11015301

3 and -4 dudes and dudettes

edg2022

Step-by-step explanation:

Since B is the midpoint of AC. So,

AB = BC

12x - 12 = 4x + 28

12x - 4x = 28 + 12

8x = 40

x = 40/8

x = 5

Now,

AB = BC = 4(5) + 28

= 20 + 28

= 48 cm

Now

AC = AB + BC

AC = 48 + 48

AC = 96 cm

The shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The equation of the line is:

y = 2x + 4

Or

2x - y + 4 = 0

The point is (0, 0)

As we know, the formula for the shortest distance between the line and a point:

D = |ax + bx + c|/√(a²+b²)

Plug x = 0 and y = 0

a = 2, b = -1, and c = 4

D = |2(0) + -1(0) + 4|/√(2²+(-1)²)

D = 4/√5

D = 1,78 ≈ 1.8 units

Thus, the shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Answer:

i don't know

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

CANT SEE THEM

Answer:

 Ok so im not to sure but I think its 40.62 but i could be wrong since it was worded odd

Step-by-step explanation

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd

Answer:

Y=2

Step-by-step explanation:

If x=3 we can see that every two lines is 1 number up then the last

same for y access. Y=-2

Answer:

-2

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

All sides are equal, so all angles are equal.

All angles equal 60 because 180 ÷ 3 = 60

I hope this helps!!

Answer:

  False

Step-by-step explanation:

It is true that term insurance has no value as an investment. However, it is the least expensive type of life insurance. The compound statement is false, because one of the elements of the statement is false.

Answer:

false

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

$50 consutation + $150 5 hour fee.

=$200

Answer:

802,083

Step-by-step explanation:

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]

The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:

[tex]\frac{\pi}{20}t = 2\pi[/tex]

[tex]t = \frac{40\pi}{\pi}[/tex]

[tex]t = 40[/tex]

It takes 40 seconds to complete one turn.

You can learn more about trigonometric equations at https://brainly.com/question/24680641

Answer:

D. 40 seconds!! Props to guy above.

Answer:

Total mass = 5.97 × 1024 kg + 7.35 × 1022 kg. = 604.35 × 1022 kg.

Step-by-step explanation:

Answer:

$2,382.03

Step-by-step explanation:

Interest = Principal x Rate x Time

Length + width = 1/2 the perimeter:30/2 = 15

Area = length x width

List the factors of 50: 1, 2, 5, 10, 25, 50.

Find the two factors that when added together equal 15:

Dimensions are 5 cm by 10 cm.

See attachments for answer and math work.

Answer:

6π Km

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{120}{360}[/tex]

   = 2π × 9 × [tex]\frac{1}{3}[/tex]

   = 18π × [tex]\frac{1}{3}[/tex]

  = 6π Km ← exact value

Answer:

y = 3x

Step-by-step explanation:

Answer:

- 154v + 10b - 6

Step-by-step explanation:

-54v + 10b - 100v - 6

-154v + 10b - 6

Answer:

10$

Step-by-step explanation:

dollars hope it helps

Answer:

its 10$

Step-by-step explanation:

Answer: No, absolutely not,

Step-by-step explanation: 6x2 = 12, so you have to multiply by 2 on each side. 1x2=2, so the equivilent ratio is 12:2!

Answer: Nope

Step-by-step explanation: No, because you can see they multiply 1 x 3 to get to 3, but if you multiply 6 x 3, it equals 18, not 12. (6 x 2 = 12) but they have to have the same denominator and numerator to be equivalent. Therefore, no, they are not equivalent.

Answer:

ADB=50°

Step-by-step explanation:

Angles subtended by the same segment are equal

Therefore,the angle ∠[tex]ADB=40[/tex] degree.

What are the angles?

An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.

Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.

And [tex]AD[/tex] is parallel to [tex]BC[/tex].

Therefore, the diagonals of a rhombus are at right angled.

So, ∠[tex]AOD=90[/tex] degree

Now, In Δ[tex]AOD[/tex],

∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree

∠[tex]ADO+50+90=180[/tex]

∠[tex]ADO=+140=180[/tex]

∠[tex]ADO=180-140[/tex]

∠[tex]ADO=40[/tex] degree

or

∠[tex]ADB=40[/tex] degree.

Hence, the angle ∠[tex]ADB=40[/tex] degree.

To know more about the angles

https://brainly.com/question/15277238

#SPJ2

Answer:

a = 160 square units

Step-by-step explanation:

The areas of the image are 160, 22.5 and 10 square units

The area of the polygon is given as:

A =10 square unit

The area of the image of the polygon is calculated as:

[tex]A_k = A * k^2[/tex]

When k = 4, we have:

[tex]A_4 = 10 * 4^2[/tex]

[tex]A_4 = 160[/tex]

When k = 1.5, we have:

[tex]A_{1.5} = 10 * 1.5^2[/tex]

[tex]A_{1.5} = 22.5[/tex]

When k = 1, we have:

[tex]A_{1} = 10 * 1^2[/tex]

[tex]A_{1} =10[/tex]

Hence, the areas of the image are 160, 22.5 and 10 square units

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

There’s a subtle, but important difference between these 2 methods of handling events. If you’ll use the first method, event handlers, the difference is that if you add two event handlers for the same button click, the second event handler will overwrite the first and only that event will trigger

Step-by-step explanation:

i hope this answer your questions

Answer:

angle 4 is 47 degrees....

Answer:

x=5/3

Step-by-step explanation:

Answer:

-5/3 or -9/4 is the answer

Step-by-step explanation:

Just completed it

Answer: the first option.

Step-by-step explanation:

Answer:

[tex]f(x) = \sqrt{x } - 2 \ \\ f(x) = 5 \sqrt{x} [/tex]

Answer:

12

Step-by-step explanation:

The Constant (K) is equal to 8/2 aka 0.25 making the formula now y = 0.25 × x

We have y as 3 so

3 = 0.25 × x we take the 0.25 to the other side by dividing on both sides.. this makes it cancel out on the right.

x is now equal to 3/0.25 which is 12. X = 12

Answer:

Is the answer 9 for the last x

Step-by-step explanation:

hope this helps

Answer:

Graph: Refer to attached image

Solution: (-5,-3)

Step-by-step explanation:

First graph to two equations.

Refer to the image attached to see what the equations would look like when graphed.

Wherever they intersect is the solution.

They intersect at (-5,-3) therefore (-5,-3) is the solution to the system of equations